diff --git "a/data/dm_maths/full_data_2/11063_11255.jsonl" "b/data/dm_maths/full_data_2/11063_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11063_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the eighth root of 35181 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -1\/2, -2 in decreasing order.\nAnswer: -1\/2, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -148, -160, -196, -262, -364, -508, -700, -946?\n\"Answer: -v**3 - 6*v**2 + 13*v - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116426?\nAnswer: 2, 3, 186071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u + 7. Let v be y(-5). Let g = v - 37. Let q = g + 26. What is the remainder when 31 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnuu. Give prob of picking 2 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2585, -4\/9, -2\/9?\nAnswer: -1\/2585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - 1. Let q(d) be the third derivative of -d**6\/40 + d**5\/15 - d**3\/6 + 90*d**2. Calculate -4*o(x) - q(x).\nAnswer: -x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*l + 4*f - 8*f, 0 = 2*l - 5*f - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/33)\/(1 - 7\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:02 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/37)\/((28\/(-36))\/7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(2*sqrt(8)*2))\/(sqrt(4) + sqrt(4) + -3*sqrt(12)\/sqrt(3) + 1*sqrt(576)).\nAnswer: sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 7618086 = 14081284. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 271 + 266 = 5*o, -3 = 3*o - 4*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7885 is divided by 306.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4\/5, -1\/2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 14*t - 19. Let s be b(11). Let p be (s\/(-6))\/(4*(-9)\/(-2052)). Is 34 a factor of 2\/(-2) - (p + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.5, -0.4, 0.0967, 0.08, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x**4 - 8*x**4 + 5*x**4 + (-2 + 2 - 2)*(-4*x**2 + 4*x**2 - 2*x**4))*(-x - 3*x + 8*x).\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76068 divided by 76068?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 10 = 1574. Let t = 148 - z. Solve -f - 4*f + n = -4, -t*f - 5*n + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36500\/13870*38\/4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38419042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75089 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8*j = -7*j - 22571, 0 = j + 4. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.26\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b + 0*b**4 - 1\/30*b**5 + 0*b**3 + 0 - 3*b**2. Let k(d) be the first derivative of 3*d**2\/2 + 1. Give j(k(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -70. Calculate the remainder when 34 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 534597.5 centuries?\nAnswer: 5345975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 653128, 1306589, 1960050, 2613511, 3266972, 3920433?\n\"Answer: 653461*x - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d - 5 + 29*d - 20*d wrt d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3001 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 22 = -14. Suppose 3*n + z - 80 = 0, -3*z = 60 - 57. Which is the biggest value? (a) n (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 - 0.3.\nAnswer: 145.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**2 + 11*s**2 + 11*s**2 - 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o - 15. Let w be d(8). Suppose 4*t + 0*u = -2*u + 108, 4*t - u = 108. What is the highest common divisor of w and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23386106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxt when three letters picked without replacement from {z: 3, x: 3, d: 2, t: 2, g: 1, u: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(128)*-1*2 - (sqrt(128) - (1 + sqrt(128) + sqrt(128))*-5)).\nAnswer: -104*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*m + 379, -5*m + 3*f - f = -515. Let v = m + -7. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 30. What is the nearest to u in -5, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 + v + 2. Let y(c) = -3*c**3 + 41*c**2 + 5*c + 10. Let n(g) = 4*f(g) - y(g). Calculate n(-7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {q: 3, s: 4, x: 1, o: 1, w: 8}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-3) - 2)\/(2\/((-48)\/8)). Solve y*w = -0*w + 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*x + 10, 8 = x + g + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:32 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 77. Suppose 0*r = -r - 3. What is the remainder when t is divided by (-4 - 0) + 18 + r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/28 + 52\/14. Suppose 0 = -r*u + 17 - 1. Determine d, given that -6*d + 3*d**3 - 4*d**u + d**4 - 3*d**3 + 9*d**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009562122 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*h - 16, 15 = 5*c - 2*h - 5. Suppose -m + 4 = 4*m + s, -c*s = m + 1. Let v = 10\/13 - 76\/65. Is m smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 + 4 = 0, 4*x = -4*s + 3144. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 3) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 912 in 3\/7, 0, -23, 1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*j = -205*j - 2524. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -270*u**2 + 27275*u - 515. Calculate i(101).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = 14*p. Suppose 2*k - 5*w - 88 = p, -k + w + 14 = 6*w. Calculate the remainder when k is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 766673400 = -259313400. What is n rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (15 - 4) - (48 - 44).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205249320 divided by -12.\nAnswer: -17104110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 11*f + 32*f - 10*f as o + b*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22169819.60061 - 4\nAnswer: -22169823.60061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*j, -2*r = -j - 3*j + 6. Let t = 6 + -11. Let v(y) = y**3 + 4*y**2 - 8*y - 3. Let z be v(t). Solve -j = 5*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5407472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/31))**29\/((((y\/(y\/(y**(-22)\/y*y)))\/y)\/y*y)\/y*y)**13 assuming y is positive.\nAnswer: y**(9240\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1)*-1 + sqrt(176))**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i - 17. Let k = 9 - i. Let t = 13 - k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 1. Suppose 15 = -9*c + n*c. Let w(a) = a**3 + 4*a**2 + a - 2. Give w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54824.3 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*z + 1179 - 1283, a = 74*z - 1479 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.971 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*9*9\/27. Suppose -f + r + 9 = 0, f - 3*r = 4*f + g. Suppose f*i + 2 = 54. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/57 - -268\/627. Let f = 0.59 - -0.01. Let w = -0.4 - f. Which is greater: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z + 3. Let l be -2 + 0 - -5 - 10. Let m be q(l). Solve m*d - 4*d - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -26*f**5 + 46*f**3 - 36*f**2 + 16*f + 16. Let x(o) = 5*o**5 - 9*o**3 + 7*o**2 - 3*o - 3. Let l(u) = 3*s(u) + 16*x(u). Solve l(c) = 0 for c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - (3 + (3 - 17) + -9)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 7:59 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 458 - 31?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5000) - (2 + sqrt(5000)))*6 + -6*4*(sqrt(5000) + 1*sqrt(5000)) + -1)**2.\nAnswer: -110400*sqrt(2) + 11520529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cggg when four letters picked without replacement from ggccggggcggggggggg?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from qihhhhaaiii.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 0, -7*m + 4*m - 5*h = 27. Let c be 15*(3 + 24\/m). Suppose -c*w + 0*z + 14 = z, 0 = 2*w - 3*z - 9. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 2, v: 1, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-12\/11))**(-8\/3)\/((i**(-2)\/i**(-3))\/(i*i**(-1\/3)*i)**(4\/11)) assuming i is positive.\nAnswer: i**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/1581925465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 6. Let o be n(5). Suppose -g - 4*g + 10 = 0. Solve -4*u - 4 = 3*h, 3*u + o = -g*h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3264 and 339446208?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26530203 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, 0.5, 3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 526 - 252. Let s = m + -148. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100046 != -2457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6164.9443 and -0.2.\nAnswer: -1232.98886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**8\/56 - 22*i**5\/5 + 185*i**4\/3 - 1361*i. What is the third derivative of h(k) wrt k?\nAnswer: -120*k**3 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*0 + 5. Suppose 7*k - v*k = 0. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14573 - -4013. Is -10560 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 3. What is the third derivative of -2*h**3 - a*h**2 + 5*h**3 - 2*h + 2*h wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 5940 = 6*k. Calculate the highest common divisor of k and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 1. Let c be l(1). Let k be (c\/1)\/(-1) - 0. Suppose 208 = t + k*t. What is the highest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 3. Let d be h(-3). Let i = 5271 + -5259. Solve -4*r = -d*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxny when four letters picked without replacement from {n: 5, x: 2, c: 1, y: 1, l: 3}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.087 and -8179.47419.\nAnswer: -8179.56119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59617 and 52877.8.\nAnswer: -6739.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 15. Let g = y - 13. Let q be 0\/(0 + g\/(-2)). Is 4\/5 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 9*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1777570 and -83\/7563620.\nAnswer: 1126979380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22490, 22460, 22410, 22340, 22250?\n\"Answer: -10*c**2 + 22500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + sqrt(171) + 1 + sqrt(171) - 3*3*sqrt(171))**2 + 0.\nAnswer: -180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 0 + 1 - -533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 23 + 15. Suppose k*p = 6*p + 5*m - 16, -4*p + m = -16. Solve -5*f + 6 = 2*w, p*w - 9 = 3*f + w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 26. Suppose 0*g + 2*z - 84 = 2*g, 0 = -2*z + 6. Let t = 37 + g. Let n(s) = -s - 5. Let o = 233 - 222. Determine o*n(d) + t*a(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*v - 81840 = 185*v. Which is smaller: v or 5457?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:20 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*a + 2, 3*b - b - 5*a - 23 = 0. Suppose -b = -s - s. Solve s*g - 1 + 7 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21333864.9999937 - 21333877. Let l = y + 12. Round l to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(0*s - 2*s + s) - 799 + 799 - 433*s + (3 - 1 - 1)*(-2*s + 3 - 3).\nAnswer: -434*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 - 1001010111011001001?\nAnswer: -1001010111001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0, 2\/13, 2\/15?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 14 + 0 + 2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + v - 17 = -6*n, -24 = -3*n - 3*v. Suppose 3*x = -0*x + n*s + 171, 2*x + 3*s = 124. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 greater than or equal to 0.071445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -0.09?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*m = -254*m - 12, 0 = i - m + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -64. Sort 2, f, 0.1, -5 in decreasing order.\nAnswer: 2, 0.1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-3591.4\nAnswer: 3591.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-2.9.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 136*v**3 - 4*v**2 + 4*v - 15. Is g(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - q**2 + 4*q. Let n be x(-3). Suppose j - n*j + 72 = 2*a, 5*j + a - 71 = 0. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7021 + -7030. Let q(f) = 17*f**2 - 8*f - 5. Let r(s) = -33*s**2 + 15*s + 9. What is l*q(p) - 5*r(p)?\nAnswer: 12*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*2*2. What are the prime factors of 111 + (3 + -1 - r)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/u)**14\/(u**(-2\/3))**(1\/17) assuming u is positive.\nAnswer: u**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1987 - -1986.3096. Let p = x + -0.0716. Round p to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23685 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(208))**2 + sqrt(65)\/(sqrt(1125) - sqrt(45)) + 5)*2.\nAnswer: sqrt(13)\/6 + 2090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let g(k) = -27*k - 3 + 2 + 22*k. Let h(u) = 9*a(u) + 2*g(u). Find the first derivative of h(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -554.7?\nAnswer: 110.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187687\/1502806 + -182\/1609. Find the common denominator of v and -42\/5.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*x + 31, -2*x + 79 - 78 = 3*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 2 (c) -11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166367 + -11?\nAnswer: -166400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -19. Suppose -23*u + p*u = 2900. List the prime factors of u.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-3)\/(-6)*3\/18*1278\/(-5112)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 + 4*c - 4. Let d(g) = -26*g**2 - 11*g + 11. Give 6*d(h) + 17*k(h).\nAnswer: -3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04005869 rounded to two dps?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-5 + -2 + 6). Let r(b) = -b**3 + 4*b**2 + 8*b - 15. Let y be r(n). Which is bigger: y or -1\/94?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by (3\/4)\/((-202)\/(-1616)) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upjayryp. What is prob of sequence uj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -19*f - 75. What is x(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69843*s*y - 2291591*s + 15*y wrt y?\nAnswer: 69843*s + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 + g**4\/3 - g**3\/3 - g. Suppose 2*z = 5*t - 3*z - 20, 0 = -2*t + 5*z + 11. List the prime factors of m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -9)*(2 + -1). Let k be 6\/j + 253\/(-55). Sort 5, k, 1 in ascending order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4 + w**2 + 4*w + 4 - w**3 - 6. What is the units digit of s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 3, n: 6, q: 2, t: 8}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-143008.\nAnswer: -4290.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5104, -10210, -15316, -20422, -25528, -30634?\nAnswer: -35740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqq when three letters picked without replacement from hmthhfmqqhhtffht?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -20. Suppose 3*c = h*c. Solve c = b - 2 + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20 - 5. Suppose j + 23 = 6*j + 3*h, -2*j + 5*h = -w. Suppose 0 = 3*m - m - 4. Solve 0 = -x - 5*u - 21, m*u + 5 = j*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2439.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.07, -2\/10083, 0, -0.2?\nAnswer: -2\/10083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23086150 to the power of 1\/2, to the nearest integer?\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 445430793 to the nearest 100000.\nAnswer: 445400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 7*v - 6. Let p be a(-4). Suppose 0*i - p*i + 36 = 0. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714350 is divided by 142813.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -1 - 6\/(-3). Suppose 3*t - 5*w = 284, t + s*w - 96 = 4*w. Calculate the greatest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 2. Let b(u) = 4*u + 4. Let h be (-2)\/(-2) + 75 + -89. What is h*m(n) - 6*b(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -156 (b) 0.12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58117, -58112, -58103, -58090?\n\"Answer: 2*a**2 - a - 58118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/15 + 1077*i**5\/20 + 931*i**4\/12 - 2974*i + 1. What is the third derivative of m(v) wrt v?\nAnswer: -48*v + 6462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*c**2 + 98 + 183 - 215*c**2 + 3*c.\nAnswer: -2*c**2 + 3*c + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 911302824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18903*q**3 - 104*q**2 + 19*q + 1?\nAnswer: -113418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3448.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106 and 16?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -157, -513, -1043, -1741, -2601, -3617, -4783?\nAnswer: -6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*((-4*j - j + 3*j)*(0*j + 3*j - j) + 100*j**2 - 33 + 33).\nAnswer: 192*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3377*q**3*s**2 + 613*q**3 + 2*q*s**3 + 2*q wrt s?\nAnswer: -6754*q**3*s + 6*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olcotsl. Give prob of picking 2 l and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 1.48, 11\/4, 2\/189, 4, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0, -48937.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 14*d**2 - 14*d + 19. Calculate k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1926 * 0.6.\nAnswer: 1155.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21 - -203.\nAnswer: 201.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1201102222?\nAnswer: 1201102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*y - 26, -11*y + 12*y + 27 = 3*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011000101 (base 2) to base 7.\nAnswer: 21334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1944, 1972, 2020, 2094, 2200, 2344?\n\"Answer: y**3 + 4*y**2 + 9*y + 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -977 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -27819 < -27821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 84778797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -230, -730, -1700, -3296, -5674?\n\"Answer: -26*a**3 - a**2 - a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, -1099, -2391, -3703, -5041, -6411, -7819, -9271?\nAnswer: -10773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2))\/(11\/572). Which is bigger: 53 or c?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2033 + 2033.04. Which is the closest to 0.1? (a) x (b) 3\/2 (c) 5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11342700*f**5 + 203*f**2 + 20*f - 171 wrt f?\nAnswer: -680562000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) - ((-2*sqrt(5000) - sqrt(5000)) + sqrt(5000))*4)\/(-1*2*sqrt(1210)).\nAnswer: -45*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-162)\/(-30) - 2\/5. Suppose 0 = -i*h + 11 + 14. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -540, -2144, -4824, -8586, -13436, -19380, -26424?\nAnswer: -34574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (247 + -253)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and -2*(4 + 0)\/(-1).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1640, -14.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01466 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01116205 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23830 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -4773766\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -2\/3 (d) 0.5 (e) -0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -3\/41 (c) 2\/15 (d) 2 (e) -1 (f) 2\/5 (g) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -73. What is the closest to 2\/5 in 5\/4, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8321.3712 minutes to days.\nAnswer: 5.77873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l + 57. Let y be a(-2). Let q(r) = -2*r - 3. Let c be q(-5). Suppose -c - 15 = -2*z. Is z greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171445578 to 7 decimal places.\nAnswer: 0.0001714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 193, 161, 129?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5.4. Let q(r) = -89*r - 13528. Let k be q(-152). Which is the nearest to 0? (a) x (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5685830 and 34114980?\nAnswer: 34114980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582 = -5*w + 138. Let b(y) = -y**2 + 12*y + 18. Let s be b(13). Suppose -2*v = -s*v + w. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 + f**3 + f**3 - f**3.\nAnswer: f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3294 + -69151\/21. Calculate the common denominator of (-1*(-1212)\/608)\/((-99)\/44) and r.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 at least 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 432 - 6464\/15. Calculate the common denominator of v and 83\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 1, d: 1, e: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 129 in descending order.\nAnswer: 129, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h - 84 = 0. Suppose 10 = d - 5*o - h, d - 3*o - 28 = 0. Suppose 2*m = -m + 351. Calculate the greatest common factor of d and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 2*y + 3*y + (4*y - y - 5*y)*(-3 + 1 + 0)*(-1 + 1 - 1) + (-2 + 2 + y)*(-2 - 2 + 6) + 183*y - 6*y + 115*y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/60 - k**5\/30 - k**4\/24 - 2*k**3\/3 - 34*k**2. Let j be m(-2). Let d be 15\/10 + j\/4 + -1. Let x(w) = w**2. What is x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11266564 to the nearest one thousand.\nAnswer: -11267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 - j**3 - 9 - 27*j - 23 + 5 + 21*j**2 - 7. What is the hundreds digit of x(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/1653 and -73\/14877.\nAnswer: 14877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8)\/(-5)*(-10)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/55828 and 149\/1530.\nAnswer: 2512260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 224*z + 1488 = 0.\nAnswer: -62, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/11))\/q*q*q*q*q*q*q*q**(-18))**(-40) assuming q is positive.\nAnswer: q**(5360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/2 - 17*d**3\/2 - 31*d**2 + 40*d = 0.\nAnswer: -10, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(((-3)\/10)\/(2\/(-10))). Solve 3*h + 30 = 2*t - 2*h, -8 = b*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-48))\/((-11963)\/6836)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d - 4*d + 5*z, 0 = -4*d + 3*z - 1. Find the third derivative of x**2 + 2*x**d - x**2 - x**6 + 2*x**6 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -80, 5 in ascending order.\nAnswer: -80, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9792.722 centuries?\nAnswer: 11751266.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 33. Let r be (-34 + 0)*u\/8. Let o be 6\/(-10) - r\/25. Let j(h) = h**2 + 6*h + 1. Give j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89.2 + -81. Let v = -8 + l. Which is the nearest to 3\/2? (a) -4 (b) -2\/19 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 376b6?\nAnswer: -376b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.040243 - -47.981757. Round r to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 327866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/180 + v**5\/120 - v**4\/24 - 5*v**3\/6 + 3*v**2. Let a(u) be the first derivative of s(u). Is a(5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/181416 and 37\/181416.\nAnswer: 181416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + -305 + -4. Is u > -309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 26*t - 102 = 0, -84*d + 15 = -81*d - 3*t for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.534 millennia to centuries.\nAnswer: 7005.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 + 160*p**4\/3 + 310*p**3\/3 - 160*p**2\/3 - 104*p = 0. What is p?\nAnswer: -78, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (77\/(-14) + 5)*4\/1570. Let s = p - 22763\/1570. Let u = 1249\/4 + -302. Calculate the common denominator of s and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115427909.\nAnswer: 17, 569, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 35 = -9*b. Calculate the greatest common divisor of b and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27710655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**5\/15 + 77*w**4\/6 - 174. Find c, given that g(c) = 0.\nAnswer: 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.7. Let k = 10523 + -10523.06. Which is the nearest to k? (a) -2\/17 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1125 and 21646975.\nAnswer: 974113875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14\/126*18)\/(5\/(-35))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from nntggngnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43\/7 - 39\/7. Let w = 3393 - 3393.16. Which is the fourth biggest value? (a) p (b) 3 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8542069ns in days?\nAnswer: 0.00000000000013720146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14*-0.076\nAnswer: -1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(3*d**2 + 3*d**2 - 5*d**2) - 1 + d**3 + 1 - 889*d**3 + 636*d**3 - 202*d**3 + 3*d**3 - 2*d**3 + 0*d**3.\nAnswer: -451*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngw when three letters picked without replacement from {n: 2, f: 5, k: 1, v: 5, w: 1, g: 6}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, -0.2, -2\/7, -0.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1748\/(-60) - 2\/10)*-3. Let j = -123 + t. Let n be ((-24)\/(-10))\/((-14)\/j). Which is the closest to -2\/3? (a) 2\/3 (b) -3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*b**2 + 144*b**2 + 145*b**2 + 40*b + 145*b**2.\nAnswer: -2*b**2 + 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849 + -852. What is the second biggest value in -8, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcfcfff. Give prob of picking 2 f.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:35 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1596 + 339. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Let p(x) = 53369418*x. What is j(p(n))?\nAnswer: -5696589555317448*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 61. Let q be u(24). Solve -8 + q = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (1 - 2))*3\/18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 0, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.324328 to 4 dps.\nAnswer: -0.3243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 2718 - 2718.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -998, -2221, -3934, -6137, -8830, -12013?\nAnswer: -15686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234708 (base 12) in base 13?\nAnswer: 16b59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 4429\/403?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*i**2*s**2 - 2*i*s - 2*s**2 - s wrt i?\nAnswer: -138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:22 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2 + 7*f - 3. Suppose 2*y - n - 13 = 0, 0 = 3*y + y + 3*n - 11. Let a(t) = -8*t**2 + 8*t - 3. Let z(u) = y*a(u) - 6*s(u). Does 16 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -15*f - 16. Put 7, 2, f, 5 in descending order.\nAnswer: 7, 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021220211 (base 3) to base 14\nAnswer: 93c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 92*h + 2118. Let c be w(-50). What is the highest common divisor of c and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13271.987 + -13131.8. Let t = 28.1 + -168.1. Let j = a + t. Round j to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v + 0*v + 6340 = 257*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18671\/4641 + 37\/221. Calculate the common denominator of -61\/1701 and a.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 11*i - 22. Let k be g(-18). Let j = k - -624. Is j 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 x, 1 a, and 2 s when four letters picked without replacement from cxczascssszsxcsxssz?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s + 75 = 0. Suppose 0 = -c - 49. Let q = s - c. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.4 - 39.393. Let m = k - -1.993. Let r = 0.7 - 0.4. Which is the third smallest value? (a) -1\/2 (b) m (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 19 = 4*p, -480*t - 24 = -5*p - 484*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/(-14) + (21 - (13 - 318\/(-42))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 + 7*v - 9. Let d = 105 + -99. Is 27 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95532 times 5\nAnswer: -477660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**2 + 0*s**2 - 14*s**2 - 9*s**2 - 3*s**2 + s**2 + s**2 + 1 - 1 + (-1 + 1 + s)*(1 - 1 + 2*s).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30517 (base 8) to base 14\nAnswer: 4859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 13. Let m be d(-2). Suppose 10098 = m*g + 1353. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 0, 3*i = -2*p - 2*p + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -30. Suppose -c*u = -2*u - 64. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:41 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 3*n + 420 - 420 + n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 14*i - 2. What is the tens digit of n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c + 35*c + 22*c - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (316050\/(-140))\/(-35)*(-11)\/(-99)\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooobboo. What is prob of sequence booo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7*22\/(-6))\/((-11)\/33). Let r = a + 114. What is the remainder when r is divided by (-1)\/(0 + 2\/(-26))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1046707135 and 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from cjjj?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 881577.69 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -12) + (31 - (59 + -23))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*p + 13. Let l = -2 + p. Solve l*b = -d - d - 4, 2*d = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -2620, -3967, -5346, -6763, -8224?\nAnswer: -9735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 20.2. Which is the closest to 0? (a) 2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1019, -18935 in ascending order.\nAnswer: -18935, 19, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2349 times -14.5\nAnswer: 34060.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124083 is divided by 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 13*s - 26. Calculate p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 5*j - 12. Let h be d(-5). Suppose 17*c = h*c + 1152. Suppose 16*r = 13*r + c. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 5. Determine t(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - ((-15897)\/846 + 15) and -39\/470.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9629318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(46\/184).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/5 - 36*l\/5 + 48\/5 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -5*y**8\/112 + y**6\/15 - 101*y**4\/8 - 419*y**2. Find the second derivative of b(c) wrt c.\nAnswer: -300*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42992727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108730.\nAnswer: 2, 5, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -156. Let r(u) = u**3 - 2*u**2 - 5*u + 6. Calculate the remainder when w is divided by r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 5*b**2 + 11*b - 10. Let f = 66 + -56. Let m be s(f). Let z be (-8800)\/(5*(-4)\/m). Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**9\/756 - r**5\/30 - r**3\/3 - r**2. Let y(w) be the first derivative of s(w). What is the second derivative of y(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30945 + q**2 - 372288 - 62477 - 54208.\nAnswer: q**2 - 458028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-138)\/(-6))\/(0 + 7) and -101\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 142 = -118. Suppose 3*p - 4*y + 28 + k = 0, -2*y + 6 = 0. List the prime factors of (-2)\/p - (-476)\/24.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, -333, 2, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/8)\/(1040*18\/(-576))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times 539\nAnswer: -1347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 597 - 101 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(72) + sqrt(72) + sqrt(72)*2)**2 + -4)*2.\nAnswer: 288*sqrt(2) + 2322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 105 = 0, 5*y - 241*q - 243*q + 488*q + 80 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*x + 45, 10 = 2*x - 4*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**3 - 4*p**2 + 15*p + 5. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 349606*w - 4 + 5 + 185540*w + 208160*w. Let c be q(6). Let p = c + -3069837. Round p to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 4. Let k(o) = 2*o + 2*o + 5*o - 11*o. What is c(k(t))?\nAnswer: -8*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*s + 1 = 0, 2*l - s - s = -6. Sort 2, -1, l.\nAnswer: l, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -230, -231?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 3)*(-2 + 4 + 1) - 1 + 3 + 4)*(67*n**3 - 40*n**3 + 41*n**3).\nAnswer: -408*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550.8 - 551. Which is the closest to 1\/2? (a) -40\/11 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 488\/7 + -70. What is the closest to -2 in u, 2, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - (-49)\/(2\/2). Let n be 3*2 + 44\/11. Calculate the greatest common divisor of m and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217965, 217910, 217843, 217764?\nAnswer: 217673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10323.44427 rounded to the nearest 10?\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-105)\/(-20)*72\/135)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17308512*j + 2. Let z(g) = g. What is z(a(y))?\nAnswer: -17308512*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 4\/7, -14, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 - m + 305. Determine u(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptm when three letters picked without replacement from mpgtu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231 and 2212?\nAnswer: 72996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48217294.\nAnswer: 2, 149, 239, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6\/(-14) + 6\/(-14). Suppose 0 = -5*o + 19 + 56. Suppose 65 = 4*k - o. Solve x + k = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + 7*x - 4. Determine p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -23927739\nAnswer: -2\/23927739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v + 2. Let u = 0.16 - 0.06. Which is the second biggest value? (a) -2 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 239 = 5*j. Let a = j + 47. Solve a = 3*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/101880 and 19\/3654945?\nAnswer: 29239560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.373\nAnswer: -0.01119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7357381 to the nearest 10000.\nAnswer: -7360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-56))\/(6\/7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 17.5. Let i = 0.02 + -3.02. Sort i, 5, h in decreasing order.\nAnswer: 5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 2:52 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (-6 - (2 + -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than or equal to 26660\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m - 213. Let c be r(27). Suppose 5*t - 822 = c*p, 5*p + 1038 = 5*t + 208. Calculate the highest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8511, -68066, -229689, -544416, -1063283?\nAnswer: -1837326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120 + -4424?\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17342 is divided by 155?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*c + 84. Let p be (-160)\/(-70) - 4\/c. Solve 3*i = 3*q + 12, 3*q = -2*i - p*q - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**29)**(1\/17)*n**0\/n*n**(-21\/5) assuming n is positive.\nAnswer: n**(-297\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 5}. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 9. Let u(x) = 7*x - 19. Let s(o) = -5*n(o) + 2*u(o). What is the remainder when 1 is divided by s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 245, 383, 541, 725, 941, 1195, 1493?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 12*h**2 - 19*h + 12. Let y = 202 + -107. Let s = 102 - y. What is the units digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9701056 is divided by 495.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 - -1?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 15. Determine b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.1915 - -0.0915. Let g = 17 + b. What is g rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7631, 7630, 7629?\nAnswer: 7628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (19 - (-7 - -34))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 161123, 622808, 1392291, 2469578, 3854675, 5547588, 7548323, 9856886?\n\"Answer: c**3 + 153893*c**2 - c + 7230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:00 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:04 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20*-58700.51\nAnswer: -1174010.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 - 267. Put -17\/2, b, -3 in ascending order.\nAnswer: -17\/2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 33. Suppose 0 = 3*b + 104 - 125. Let j(u) = b + 5 - 12 + u**2. What is n(j(c))?\nAnswer: 3*c**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 315*v**2 - 5550*v - 12320.\nAnswer: 5*(v - 16)*(v + 2)*(v + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:12 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3394 = 6704. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 2*f**2 + 7*f\/2 + 5.\nAnswer: -(f - 2)*(f + 1)*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/34)\/((-45)\/90).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80300, 143347, 206396, 269447?\n\"Answer: q**2 + 63044*q + 17255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.164898 seconds to nanoseconds.\nAnswer: 164898000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80148 + -237775\/3. Let b = 906 - a. What is the common denominator of -5\/104 and b?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*3 + 5*1*sqrt(130))\/(sqrt(490)*-3 + 2*sqrt(50)\/sqrt(5)).\nAnswer: -8*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-928)\/416 + 1968\/68?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00226235733 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076040528 rounded to four dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2135389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*p + 21634 - 21634 as t*p + b and give t.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 + u**2. Let l be b(1). Let f(n) be the second derivative of 0 + 0*n**2 - 1\/12*n**4 + n - n**3. What is f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655596 is divided by 264.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r + 20 = 0. Let c be (-48)\/168 + 172\/14. Suppose c = 4*z - 0*z. Solve -z*m + 11 = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207935?\nAnswer: 5, 441587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*q - 4 = 0, 0*t - 5*t + 7 = 4*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/408 and -107\/176.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*d + 32, 3*v + d = 51 - 65. Let o be ((-3)\/((-36)\/58) + -5)*v. Find j, given that 9\/10*j - 1\/5*j**5 - 3\/10*j**4 + o*j**3 + 13\/10*j**2 + 1\/5 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 - 410040*m**3 - 1640112*m**2 - 1640096*m = 0.\nAnswer: -102506, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292 divided by -3.\nAnswer: 292\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 1554354033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, -2\/5, 0, 1975?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 4)\/(3\/(-4)). Let p be (-119)\/(-28) - (-1)\/o. Suppose 2*w + 120 = p*l, 0 = -4*l + w - 0*w + 122. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.60083611 - 22.601. What is l rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let v be (-3 + 0)*-1 - -3. Suppose -a + v*a - 25 = 0. Let c(h) = -a*h + 4*h + 0 + 0. What is w(c(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7966*l + 110 - 110 - 7963*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, and 1 d when three letters picked without replacement from {b: 1, k: 1, h: 2, s: 1, v: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 53 = a, -4*a + 40 = -15*u + 10*u. Let i be 0 + 2\/(-1)*15. What are the prime factors of ((-26)\/u)\/((-5)\/i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-3 - -1) - 888\/(-24). Solve -l*u = -17 - 32 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b1 (base 12) in base 3?\nAnswer: -120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 133100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -34*g**3 + 8*g**2 + 5*g + 12. Let o(p) = -103*p**3 + 22*p**2 + 16*p + 33. What is 4*o(q) - 11*s(q)?\nAnswer: -38*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3930 + 3927. Which is the closest to -1? (a) 2\/5 (b) 9 (c) 0.7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from {g: 4, i: 6, u: 1, y: 3, n: 2}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6443.2821 + -6443. Round u to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1.85, 4, 1.9, -4, -3?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.74 + 0.73. Let w be (-53 - -58) + (-1 - (1 - 1)). What is the third biggest value in t, 0.1, -0.1, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6850 + -6849.999995096. Round p to 7 decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, 0.4, 0.03, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220.67 - -222. Let r = z - 24.33. Which is the nearest to 0? (a) 2\/7 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.304 + -0.204. Put 1, -3, r, 0 in descending order.\nAnswer: 1, r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838 (base 16) to base 13.\nAnswer: c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, 0*y + 3*q - 18 = -3*y. Suppose 2*p - 3 = 3*c, 0*p + 5*c - 2 = p. Solve 0*d - 5*d - 3*v + y = 0, p*d - 12 = 3*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*q - 2*f - 37, 0 = 4*q - 3*f - 70. Calculate the remainder when 296 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2 (c) -32 (d) -10 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 505 and -6?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200640427 and 4407?\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017826 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313*-72.\nAnswer: -22536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (5*sqrt(363) - sqrt(363))**2 + (-4 + sqrt(363) + -3)**2.\nAnswer: -154*sqrt(3) + 6225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/5)\/((i*i**(-5))\/i))\/((i*i*i\/i**(-2\/9))\/(i*i*i**(1\/2))))\/((i**(2\/7)\/i)**(-18)\/(((i\/i**(2\/3))\/i)\/i)**(1\/74)) assuming i is positive.\nAnswer: i**(-109579\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 + 38*b**4\/7 + 222*b**3\/7 + 418*b**2\/7 + 332*b\/7 + 96\/7 = 0.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = -3*b + 2*p, p - 12 = 5*b. Let r be b\/(-8)*(-14 + 16). What is the second biggest value in 2\/3, 5, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -689, -4, 45 in ascending order.\nAnswer: -689, -4, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 16. Suppose -252 = -3*y + u*y. Does 14 divide (-16)\/12*y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -b + 12*x - 23, 0 = -4*b - 2*x - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkkdkkkk?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3117*x + 22427 + 55498 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(-64 + 126 + 517 + 245).\nAnswer: -824*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 20*p**2 - 159*p + 3774. Determine v(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 238 = 6*g - 130. Calculate the remainder when 2805 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2 - 2*l. Let g(y) = -390*y**3 - 5*y**2 + 267*y + 1. Let k(n) = 5*d(n) - g(n). What is the second derivative of k(r) wrt r?\nAnswer: 2370*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.43237188 to three dps.\nAnswer: 5.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*k - 4 - 4, v + 6 = 4*k. Suppose 0 = -5*i - t - 26 + 1, 3*i = 3*t - 33. Sort i, -2\/7, -1\/7, k in descending order.\nAnswer: k, -1\/7, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-117))\/((-210)\/(-126)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j + 718729 - 359286 - 359443.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = 2*h, 7*h = 2*h + 2*d + 17. Solve 0 = 3*b - 1 - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6921*m - 7216*m + 20355 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 935*n - 907*n + 336 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*w - 331*o + 330*o, -15 = w + 4*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110709 to seven decimal places.\nAnswer: 0.0001107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 18. Let q(f) = -4*f**2 + f - f**3 + 3 + 9*f**2 + 2. Give q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 - (-10 - -1) - (2 + 16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -80*v - 4. Let i be u(-2). Let o(d) = d**3 + 3*d**2 + d + 4. Let s be o(-6). Let r = i + s. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250 * -177266.\nAnswer: 44316500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15212, 2, 3, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 120, 4407, -3 in decreasing order.\nAnswer: 4407, 120, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**7\/280 + v**6\/120 - v**5\/20 - 7*v**3\/2 - 47*v. Let y(u) be the second derivative of d(u). Factor y(f).\nAnswer: 3*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2866, 10, -533, -2 in decreasing order.\nAnswer: 2866, 10, -2, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1004, 2090, 3170, 4244, 5312?\n\"Answer: -3*g**2 + 1095*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 36*g + 204. Let y be j(5). Let m(a) = -a**3 - 3*a**2 + 3*a - 4. Let d be m(-4). Sort y, -2, d, 5 in decreasing order.\nAnswer: 5, d, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l. Let v(q) = -78*q**2 + 36*q - 36. Let s(j) = 11*j**2 - 5*j + 5. Let c(i) = -36*s(i) - 5*v(i). Determine p(c(d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + g**2 - 5*g**2)*(-8 - 2*g + 8)*(68*g - 28*g + 37*g).\nAnswer: 154*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 times -0.08518\nAnswer: -0.442936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.18 - 11.18. Let j = 0.9 + -1. Which is the smallest value? (a) j (b) x (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 207, 297, 371, 423, 447, 437?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 5*p - 13, 4*x + 37 = 5*p. Let k(z) = 5*z**3 - z**2 + z - 7. Let u(g) = 4*g**3 - 6. Let f(q) = 3*k(q) - 4*u(q). Give f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1938*g + 4*h + 49 = 1941*g, -9*g - 3 = 3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 202926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*c - 29, -7*p + 6*p = 3*c - 11. Suppose 4*z + p*b = 1375, 136 = z - 3*b - 195. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-j + j + 3*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**2 + 974*i + 13825. Determine t(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168007?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84d4 + -51?\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2916, -114, 8408, 22650, 42612?\n\"Answer: 2860*w**2 - 5778*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Suppose 0 = -6*l - 3031 + 3013. Determine x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3313*i - 290. Is y(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2675968 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*c - 44, 0 = m + m + 3*c. Put 4, m, 7 in increasing order.\nAnswer: m, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 4 + 15*m + 4*m + 0*m + 17*m + 10*m.\nAnswer: 43*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 81 - 5*r - 52.\nAnswer: -5*r + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3091 + 4452. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-120)*(-16)\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 4*z + 88. Suppose 3*p - p - z = 0. Let s = -4 + 9. Solve 5*q = 5*g - 40, s*q + 0*g - g = -p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 567.7, 2.5 in decreasing order.\nAnswer: 567.7, 3, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8\/2 - (93 + -89).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -431 - -647?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/189 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(70))\/sqrt(2))\/(2*sqrt(567) + sqrt(7))*-5 + 4 + -1)*-4)**2.\nAnswer: -960*sqrt(5)\/19 + 59984\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346767401*b + 346767401*b - 3473*b**2.\nAnswer: -3473*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((48\/(-27))\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*u - 70, 0 = 561*w - 563*w + 5*u - 66 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590, -1199, -1784, -2333, -2834, -3275?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 16}. What is prob of sequence ddt?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meebrreen. What is prob of sequence nme?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -491997\nAnswer: 491997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 8. Let y(c) = 11 + 25 + 2 - 10 - 5 + 17*c. Give 11*w(k) + 4*y(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(2\/(-1)))\/((-22)\/110).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose -4*m = -5*j - 1 - 6, f*j = 5. Suppose -m*q + 0 = -15. Solve -l + 3*t = l - 18, 4*l - q*t = 32 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let t(u) = -u**2 + 5*u - 2. Let w be t(4). Let s = 82 + -81.6. What is the third smallest value in n, s, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452223554 - 5?\nAnswer: 452223545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384168.8ug to grams.\nAnswer: 0.3841688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -791*h + 59316. Determine m(75).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 1, i: 4, h: 3, s: 1, o: 1}. Give prob of picking 3 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 2. Let h be t(0). Suppose -3*w - 3 = -2*w. Let m = h - w. Solve 5*a - 5 = -m*u, -29 = -5*u + 3*a - 0*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 + 3*o. Let i be d(-4). Suppose 0 = -2*w + i - 2, k = -5*w + 5. Solve -p = -3*x + 7, k = 5*p + 4*x - 6*x + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 8*f + 5*f**2 - 7 + 16*f. Let d(l) = 4*l**2 + 6*l - 6. Suppose -2*b + 18 = -5*b. Calculate b*d(x) + 5*q(x).\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-16)*58 - 198\/33\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 5. Let f be c(0). Let m be 273\/7*2\/(-3). Let o = m + 51. What is the highest common factor of o and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115, -639, -1517, -2749, -4335, -6275?\n\"Answer: -177*r**2 + 7*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410890500.\nAnswer: 2, 5, 461, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, q: 3}. Give prob of picking 3 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 = -266*s + 3665 + 610 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 11*q**2 - 12*q - 11. Let x(i) = 3*i + 5. Let k(v) = -v - 2. Let y be k(3). Let r be x(y). List the prime factors of o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (817\/(-57) + 7)*3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 316 + -323. Let t be -48*1\/(g\/7). Calculate the highest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31053 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209 from 0.100447.\nAnswer: -208.899553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9330 - -1473?\nAnswer: -7b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (6 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212 divided by 152\nAnswer: -53\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 4\/((-8)\/(-2)). Suppose 0 = o*x - 24 - 0. Suppose -2*i = 2*i - x. Let w(p) = p**2 - 2*p. Let l(m) = -m. Give i*l(t) - 2*w(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-38)\/(-4))\/(2 + 355\/(-180)). What is the derivative of -107*c + 276 + a - 559 wrt c?\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 237, 370, 519, 690, 889?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) - (sqrt(110) + 1*sqrt(110)*5)))\/(sqrt(90)*2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101 (base 2) in base 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -70*z**2 + 6083*z + 583. What is t(87)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769.\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(4800) - (sqrt(4800) - (-1 + sqrt(4800) + 4)) - (sqrt(4800) + (sqrt(4800)*-1 + 2)**2))*1.\nAnswer: -4801 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 461 - 428. What is the greatest common factor of s and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-3)*24\/20. Let b(n) = n + 9. Let f be b(d). Suppose -h + f*u = -395 + 121, -4*h = -2*u - 1042. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 4, x: 6, i: 2}. Give prob of sequence exi.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*0\/31*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 38*l**3 - 4 + 4.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 0. Let v(c) = 6*c - 62. Let b(x) = -6*x + 62. Let y(g) = -3*b(g) - 2*v(g). What is the smallest common multiple of y(12) and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 89. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 20. Suppose -25 = 3*q + w, 42 = 3*q - 8*q - 2*w. Let o(c) = c**2 - c - 72. Let y be o(q). Solve 0 = -2*r - y*r - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -980\/391?\nAnswer: -980\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 70 = 0. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 9.61?\nAnswer: -9.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k + 1. Let v = -5 - 0. Let l = -2 - v. Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/764798 and -9\/172.\nAnswer: 1529596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(3 - 6) - -1. Let h = 16 - n. Suppose -3*f - h = 2*t - 49, 75 = 4*f - 5*t. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 1441. Let w(x) = -x. What is n(w(h))?\nAnswer: 2*h**2 - 1441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -104. Let y(z) = 107*z**3 - 2*z**2 + 1. Let s be y(-1). Let r = s + 156. Calculate the highest common divisor of i and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 5*w + 6. Let c be a(3). Suppose 2*j - 6*j - 12 = c. Let n = -4 + 0. Sort j, 1\/4, n in descending order.\nAnswer: 1\/4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f - 7. Suppose -6158*a = -6163*a. Calculate h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 4*x**2)*(368*x - 39*x**2 - 368*x)*(3 + 7 - 1 + (0 + 3 - 5)*(-2 + 1 - 1) + 8 + 7 + 0).\nAnswer: -1092*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(70)\/sqrt(160) + sqrt(7)) - sqrt(7) - sqrt(1008)\/sqrt(9) - (sqrt(343) + sqrt(343) + 1 + sqrt(28)*-1))**2.\nAnswer: 69*sqrt(7)\/2 + 33343\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a + 12. Let t be r(-2). Let q(o) be the first derivative of 1\/12*o**4 - 1\/9*o**3 - 1\/6*o**t + 1\/3*o + 1. What is k in q(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + -1306 + 0)\/(-2*(-1)\/(-25))?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let q(c) = -c**2 - 7*c + 6. Let j be q(-8). Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + -3*2\/27. Suppose 2*z - q - 1 = s, 4*z = 7*z + 2*q - 12. Suppose -16 = 4*m, -9*a + 4*a = -z*m - 28. Solve -a*w = -1 - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 689 - 1413\/2. Let d = -18 - w. Sort -0.3, -5, d in ascending order.\nAnswer: -5, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(133) + (sqrt(133) + -1*sqrt(133) - sqrt(133)) - sqrt(133) - sqrt(133)) + sqrt(133) + sqrt(133)))\/(sqrt(77)\/(sqrt(66)\/sqrt(6))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/20*13\/(1287\/220)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 3*t + 21 = 0, i + 3*t = -9. Let z = -195 - -197. Suppose z*o - 5*y - 3 = 0, -2*y = -0*y - 2. Sort 1, o, i in descending order.\nAnswer: o, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105158.\nAnswer: 2, 52579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2856*y**3 - 2*y + 84*y**2 - 322*y**2 - 2855*y**3 as m*y**3 + r*y**2 + c*y + k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -5*j**4\/8 - 2*j**3 - 9*j**2\/4 - j + 7. Factor p(v).\nAnswer: -(v + 1)**2*(5*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -52.\nAnswer: 69\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:10 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 239?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19 + 7 = 0. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + 387\/(0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16939 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1891222 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 2*d)*(3*d**4 - 3*d**4 - d**4 + (d + 0*d - 4*d)*(-2*d**3 - 3*d**3 + 4*d**3) + (4 + 1 + 2 - 3*d**3)*(3*d - d + 0*d)).\nAnswer: -4*d**5 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -229\/208008 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fd13 + 2be6?\nAnswer: 128f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/4 - 75*j\/4 - 329 = 0. What is j?\nAnswer: -47, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 365 + -3516?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -720, -176, 356, 870, 1360?\n\"Answer: -s**3 + 551*s - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 6 = 2*u - 5*k, -9*u - 5*k + 40 = -13*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c - 257 - 436. Let r = 65 + c. Suppose -348 = -r*h + 5*t, 2*t = 7*h - 3*h - 696. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/(329\/28))\/((-372)\/186)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = -2*r + 201, 0 = -2*r + x + 207. Let s = 184 - r. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 + 6*a + 11. Let p be (7 - 21)*2\/(-4). Let w be x(p). Solve -u + 4*m + w = -4, 4*u - 4*m = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47656 and 111?\nAnswer: 142968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6181 > 571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6775 or -0.079?\nAnswer: 6775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)*z*z**(-16))**(-2\/5))**(3\/8) assuming z is positive.\nAnswer: z**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:24 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05053953 to 3 dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (-3 + -4 + sqrt(700)) - (-2 + -4*sqrt(700)))*-1*6 + -1 + -2)**2.\nAnswer: 27360*sqrt(7) + 406449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-9 - (-153)\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193165?\nAnswer: 3, 5, 13, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c. Let w(y) = -4*y**2 + 3*y. Determine w(v(t)).\nAnswer: -784*t**2 + 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 13) + 33 + -98 + 13 + 29?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-234))\/(-28 - 74579\/(-2665))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554897.\nAnswer: 7, 17, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3 + 2)*-3. Suppose 5*z = z + 16. Let k(p) = 2 - 4*p**2 - z*p + 4*p - 6*p + 3*p**2. Calculate k(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2623071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-7)\/42). Is 6 a factor of (-104)\/t + 13\/(312\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 + o + 0*o**2)*(-3*o**2 - 2*o**2 + 2*o**2).\nAnswer: -9*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*i**3 + 407007*i**2 - 6559*i + 3839 wrt i.\nAnswer: 126*i + 814014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 188552?\nAnswer: 188552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 6, a: 4, l: 2, p: 4, e: 2}. What is prob of sequence xe?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*o - 12 = h, -h = 4*o + 19. Let k = h - -9. Let b be k + (-1 - 2 - -5). Solve -g + 5 = -b*d, -5*d - 4*g - 11 = -31 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -947*z**2 - 2840*z + 14. Determine h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 = -6*h, -2668*h + 2*d = -2667*h + 37 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-3))\/(1\/2). Suppose i*d = d. Suppose 3*n = 2*t - 19, -3*n = -t - d*n + 11. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -1\/16, 17.\nAnswer: -2, -0.3, -1\/16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -2*g - 0*g. Suppose 81*c - 45*c - 2492 = 1180. What is the highest common divisor of g and c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84986 divided by 82\nAnswer: -42493\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2663112 decades?\nAnswer: 2.663112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987833 is divided by 141118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310856672 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*d + 3*d - 13*d + (-4 + 3 + 3)*(d + d - 4*d) + 2*d + 1 - 1.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 2509.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -j - 10, 5 = 5*j + p - 2. What is the third derivative of -610*s**5 + 13*s**6 + 10*s**j + 610*s**5 wrt s?\nAnswer: 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*o - 2 = 0, -3*x + 3 = 2*o - 11. Solve 2 = x*q - q, 3*q + 9 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 6. Let d be q(-10). Suppose -d*j + 494 = 66. Let b = j - 56. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(76\/(-798))\/(24\/(-1764))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130)*4 - sqrt(130)) - sqrt(130) - (sqrt(130) - -1*sqrt(130))*5)\/(-4*((sqrt(90)*-1 - sqrt(90))*1)\/sqrt(9)).\nAnswer: -23*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29288.54 years?\nAnswer: 351462.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 2*b - 1. Let l be k(-2). Is -3 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*3*-4*-5 - ((sqrt(1900) + -1)**2*6 - (-1 + sqrt(1900) + -4)))*-2.\nAnswer: -1460*sqrt(19) + 22822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4452163\nAnswer: 1\/4452163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:06 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - (0 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -31251 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5412*k**2 + 11495*k - 12041. What is the first derivative of b(n) wrt n?\nAnswer: -10824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 - 30*c**2 + 29*c**2 + c + 6*c**3 - c in the form h*c + y*c**4 + n + j*c**3 + p*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 0 + 0*h**2 + 4\/5*h**3 - 11\/5*h**4.\nAnswer: -h**3*(11*h - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 37221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -41\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tebb when four letters picked without replacement from {g: 2, e: 4, b: 3, t: 2, i: 6}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -21a4390?\nAnswer: -21a4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.1 (b) 2 (c) 506 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13578777*x**2 + 13578777*x**2 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*j - 54 + 125 = -54. Let t = -37\/33 + 5\/11. What is the closest to j in t, 11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 985*m**2 - 13*m - 992*m**2 - 7 + 8 - 5.\nAnswer: -7*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:34 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 4*c. Put c, -2, 2 in descending order.\nAnswer: 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:56 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 4. Let g(i) = -i**2 + 1. Let q(o) = -4*g(o) - u(o). Let k(m) be the first derivative of -m**3\/3 + 39. Determine q(k(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*i**3 - 67*i**3 + 2*i**4 + i**2 + 25*i**3 to o*i**3 + x*i**2 + w + h*i**4 + c*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**11)**(-47))**(1\/37))**30)**(-14) assuming w is positive.\nAnswer: w**(-197400\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0*i**3 - 13*i**2 + 28*i + 12 - i**3 + i**2. Suppose 55*u + 127 = 49*u + 43. Let n be h(u). Solve -5*f - 3 = -3*c - 18, -3*c + 4*f - n = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 3*m**3 - 3*m**3)*(-1 - 2*m + 1 + (-2*m - 2*m + 7*m)*(0 + 1 + 1) + m + 0*m + 0*m)*(-2 + 0 + 1).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1434964 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 263, 5, -2889, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 21 + -10 - (-1 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63461, 126921, 190377, 253829, 317277, 380721?\n\"Answer: -2*o**2 + 63466*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 - 3*q**2)*(6*q - 1 + 4*q - 9*q + 23*q**2) + 0*q**4 + 33*q**2 - 29*q**2 + 9*q**4.\nAnswer: -37*q**4 - 2*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -45. Suppose -6*u = -2*u. Suppose 0 = -4*j - w - 6, u*j + 6 = -j + 2*w. Sort r, j, 5.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 3*u + 55. Let d = 367\/5 - u. Let w be (1\/2)\/(4\/16). What is the nearest to 0.1 in d, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19495.82 millilitres in litres?\nAnswer: 19.49582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -36*l**2. Let p = 0 + 10. Let x be 18\/(-4)*p\/(-15). Let y(d) = x - 3 - 351*d + 350*d. What is m(y(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247610 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19162853*u**4 + 9959351*u.\nAnswer: 229954236*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 + w**5\/20 - w**4\/6 + 2*w**2 + 14*w. Solve y(q) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 less than or equal to -1350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18*14)\/(338\/(-1521)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {k: 2, h: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8250 from -171.\nAnswer: -8421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y**2 + 744*y - 14. Let s(t) = 9*t**2 + 497*t - 9. Give 5*j(m) - 8*s(m).\nAnswer: -2*m**2 - 256*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (41 - 93) - (2 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 12, -5*a + 263 = 3*w. Calculate the highest common divisor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450.78 + 2201.58. Does o = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3465 divide 166340790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060544 divided by -12?\nAnswer: -421712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-160)\/(-48))\/(2\/195)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3123645009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 2:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**2 - 715*u - 3700 = 0.\nAnswer: -5, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3 - 3 + 4 - d - 3. Let w be t(-3). Suppose 3*j - 21 = 3*f, -w*f + 32 = -j + 3*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 1958, 2930?\nAnswer: 3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25534719.\nAnswer: 3, 7, 101, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:56 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*z**2 + 34*z**2 + 0*z**4 + z**4)*(-101 - 90 - 43) as f*z**2 + y + o*z**3 + u*z + s*z**4 and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/377 + 420\/(-1365). Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 54*k + 82. Let z(p) be the second derivative of 0 + k*p**4 + 0*p**5 - p + 1\/6*p**6 + 0*p**3 - 9\/2*p**2. What is the derivative of z(n) wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:45 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16901687 and 110.\nAnswer: 169016870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11645 (base 7) in base 12?\nAnswer: 193b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -2.2 (c) -0.13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 2?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -5*o**7\/42 + 99*o**4\/4 - 1535*o**3\/6 - 600*o. Find the second derivative of q(v) wrt v.\nAnswer: -100*v**3 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpz. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q - 196. Calculate b(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h - 2*h - 5 - 3*h + h. Let g be c(7). Let z = -2 + g. Which is greater: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95082.34kg?\nAnswer: 95082340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1799317*g**3 + 2404*g - 1799315*g**3 - 2404*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4441629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*g + 9019 + 47661 = -2708 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 plus 61234.5?\nAnswer: 61234.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) 4 (c) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/4 - 3) + 10. Differentiate -13 + z + 5*k**3 - 16 + 1 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -5 + (9 - (26 - 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*k - 2*k + 13, -2 = -u - k. Suppose f = -2*f - 81. What is the units digit of 2*-1 - f\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 5:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*sqrt(180)*1*-6)**2.\nAnswer: -486000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.314*0.03.\nAnswer: 0.09942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135991?\nAnswer: 239, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) 9\/11 (c) 0.2 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69\/7 + -835\/84. Let j be -2 + 0 + (-135)\/(-55). Let z = j + 13\/44. Which is the third biggest value? (a) 2\/13 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 418 = 8*w. Suppose 2*t + 41 = 4*t - x, -2*t - 5*x = -w. Solve -5*m + 2 = -2*j - 0, 0 = -3*j - 5*m + t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23617506.\nAnswer: 2, 3, 11, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 80. Let s be l(-27). Which is the third biggest value? (a) -39 (b) s (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (105\/(-210))\/((-2)\/(-4)). Is l <= -4\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684 divided by -1342?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 4*c - 3. Let n be f(2). Does n = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 836802.5 millilitres?\nAnswer: 836.8025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -10\/3*b**3 + 5\/2*b**2 - 14*b + 20 + 1\/4*b**4. Let a be d(10). Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-52)\/8 + 3). Let w be (-37)\/(-7) - 4\/q. Suppose 4*k + 149 = w*i, -4*i + 54 = 4*k - 58. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyymyyymyym. What is prob of sequence yy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6737\/2342 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**1*s)))**(1\/14)\/(s**(-3\/7)\/((s**(2\/5)*s)\/s)) assuming s is positive.\nAnswer: s**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18712.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 15}. What is prob of sequence ffn?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 9*n**3\/2 + n**2\/2 - 572*n + 2. Let v(o) = -2*o**2. Calculate a(v(w)).\nAnswer: -54*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3719669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 4*g**2 + 5*g - 6. Let o(l) = 3*l**3 - 9*l**2 - 11*l + 13. What is -4*o(t) - 9*y(t)?\nAnswer: 6*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-15 - -34 - 9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8386502mg?\nAnswer: 0.0000000008386502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/k**14 assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/60 - 13*c**5\/30 - c**4 - 161*c**2. Give k(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 + 4*b**2 + 10*b - 20. Let c(q) = -16*q**3 - 13*q**2 - 40*q + 59. Give 4*c(n) + 13*v(n).\nAnswer: n**3 - 30*n - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 152973?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-11)*592\/(-1776)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.261 + -0.461. Let f = 1 + -0.94. Let q = -0.16 + f. Sort -5\/3, q, r.\nAnswer: -5\/3, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370478 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let w = -0.5 - o. Let s = w + 0.332. What is s rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 4*p**2 - 13*p**2 + 0*p**3 + p**3 + 5*p - 1. What is the tens digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3121, 1183 in decreasing order.\nAnswer: 3121, 1183, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13643*i**3 + 613*i**3 - 8335*i**3 - 1312*i**3 + 589*i**3.\nAnswer: -22088*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 14*i**2 + 16*i + 3. Let t be b(-15). Let w = t - -19. What is the remainder when w is divided by (3 + -13)*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 39. Which is the closest to 3\/4? (a) 0.4 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 83.6. Let r = 30.5 + x. Let v be (-3)\/12 - 13\/(-20). What is the nearest to r in -0.1, 2\/3, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12671 is divided by 195.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1110 - 1152?\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 - 949 = 110*c - 51*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.21 + -21.49. Let i = 26.700041 + y. What is i rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w - w)*(12 - 6 - 31 + (2 - 3 + 2)*(-28 + 6 + 6))*(-3 + 4 + 0) - w - 1 + 1 to the form d + f*w and give f.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 502141809 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-61 - 1) + 47 + 20 + -44.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18144)\/(-196) - (-6)\/14. Suppose q*g = 98*g - 8165. What are the prime factors of g?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2074.9125 hours?\nAnswer: 86.4546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 5 = 0. Let c(t) = -t**3. Let k(n) = 4*n**2 + 32 + 33*n**3 - 32 - 28*n**3 - 6*n**2. Give b*k(q) + 4*c(q).\nAnswer: q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.258 from -21.381.\nAnswer: -21.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/60)\/((414612\/360)\/(-349))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose v + 2 = 2*d - a, -4*d + 32 = 3*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 21. Let q be j(16). Solve 9 = q*n - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.43417 - 30268962\nAnswer: -30268975.43417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.4416*0.4\nAnswer: 0.97664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.824 + -2.83. Let b = s + 11.8. What is b rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**2 + 30*t**2 - 145*t**2 + 31*t**2 + 29*t**2 + 35*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + -1 + (2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107660?\nAnswer: 2, 5, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/35 + 591\/15.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + 0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3379052 times -0.3\nAnswer: -1013715.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477135 is divided by 68104?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-20)\/8)*14. What is the highest common factor of p and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0184 and 6.\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-1)\/3)\/(260\/30).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((400\/56)\/5)\/((-4)\/(-343)*-7).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1662.83502 to the nearest ten.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*s + 82*s - 143724. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/51 and 27\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + f - 2832, -28*a = -27*a - 4*f - 600. Calculate the smallest common multiple of 12 and a.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 60 = 41*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -39*n + 40. Let s(b) = 34*b - 40. What is -6*s(c) - 5*x(c)?\nAnswer: -9*c + 40","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 3*c**2 + c**2)*((-2 + 0 + 3)*(-8*c**2 + 25*c - 25*c)*(6*c - 20*c + 5*c) + 0*c**3 + 2*c**3 - c**3).\nAnswer: -146*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.92 + -26. Let w = b + 0.08. What is the closest to w in 0, 1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-18)*104\/(-130). Let d = 20.8 - 21. Let o = 0.02 + -0.32. What is the third smallest value in w, d, o, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - t**4 + 2*t**4 + (-t**2 - t**2 + 3*t**2)*(-4*t**2 + 3*t**2 + 0*t**2) + 3*t**4 - 3*t**4 + 4*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/4 - 7. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652958.\nAnswer: 2, 326479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12ad2 - b2?\nAnswer: -12b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817754?\nAnswer: 2, 7, 58411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -666*p - 53. Let g = -177 + 172. Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1687520 and -101\/18.\nAnswer: 15187680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 263 + 263.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09213 and 1094239?\nAnswer: 1094239.09213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 35*w + 10. Let b(a) = 2*a**2 - 17*a + 5. Let j(h) = 5*b(h) - 3*f(h). Let z be j(-11). Let g be z\/273 - (-4)\/(-14). Is g > -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -4 (b) 17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018394173 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55395?\nAnswer: 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -727\/4 - -23761\/132. Find the common denominator of j and (1 - -2) + (-2177)\/847.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**2 - 16 + 46*c**2 + 16 to the form b*c + q*c**2 + f and give q.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/37 or -0.5?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Determine f, given that -3*f + 2*f**5 - 3*f**l - 2*f**5 + 6*f**3 + 0*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726073.\nAnswer: 521, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k**2 - 25*k + 11. Let p(j) = -3*j**2 + 5*j - 2. Let d(l) = -11*p(l) - 2*r(l). Determine d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + -47 + 25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*l\/l**(2\/21))*l*l))**(12\/7)*(l**(2\/21))**35)**(-3\/2) assuming l is positive.\nAnswer: l**(-107\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = 0. Solve q*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4351, -8665, -12979, -17293, -21607?\n\"Answer: -4314*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -741.0706 to one decimal place.\nAnswer: -741.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - j + 10 = 0, 3*j - 7 - 8 = 0. Let f be 56\/(-80) - 1\/2*-1. Which is the nearest to f? (a) 3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12 and -9 - -6 - ((-7)\/324 + -3)?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - n)*(1090 - 154*n - 43*n + 195*n)*(-7*n**2 + n**2 + 3*n**2).\nAnswer: -6*n**4 + 3270*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-36)*675\/150.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(2) + 4 + 3)*3)**2*4*-1.\nAnswer: -59400 - 14400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:51 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 358470 and 111.\nAnswer: 13263390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 - 541 = 300*l - 5856. Let v(f) = 29*f - 5. What is the remainder when v(6) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77130480 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808.4328 millimeters to micrometers.\nAnswer: 808432.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*k = -53, 0*u = u + 4*k - 13. Let d = 1519 + -1532. Let f = u + d. Let w(s) = s + 3. Give w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/51*(-22 + 1). Calculate the greatest common factor of l and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o + 37. What is l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 28*m**2 + 28*m + 8. Determine f(-4).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -62754257851 and -0.1.\nAnswer: -62754257851.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q + 95*q - 1043 = -215*q + 3962 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -b + 10, -b + 4*b = 5*g + 58. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -4*y + t, 3*t + 56 + 107 = 4*y. Let n = y - 2. Let u = n + -23. Calculate the greatest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/689*(-4)\/(-36). Let r = -1172057\/421668 - i. Let z = -26\/17 - r. Calculate the common denominator of z and 65\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 1. Let h be p(2). Let c be ((-42)\/(-8) + 2\/(-8))\/1. Sort h, c, 0 in ascending order.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w**2 - 255*w + 2206. What is y(9)?\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9351 + 25939. Is 29 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 1 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3 - o. Suppose 5*v = -5, c = -c - 2*v + 2. Let r be (-6)\/(-12)*c\/1. What is m(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 292, 420, 548, 676?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 34. Let r(q) = -41*q**2 + 57*q - 7. Let s(l) = 20*l**2 - 29*l + 3. Let t(x) = j*r(x) - 14*s(x). Find the second derivative of t(c) wrt c.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 28 - (44 - (51 - 74)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 + 4*k + 1. Let y be l(-3). What is the units digit of ((231\/(-5))\/(-7))\/((-2)\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98165 bigger than 98168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383693?\nAnswer: 383693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 8 = -15*f, -5*k = f - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -0.057445?\nAnswer: -0.057445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*r + 0 - 672*r - 3.\nAnswer: -1072*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40013 is divided by 13220?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1125 and 75?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1841965*m**3 + 2340*m - 39?\nAnswer: -11051790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*b - 4 - 80*b - 10*b - 16*b.\nAnswer: -162*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h + 5. Let g be l(-5). Suppose 3*a - a = 4*v - g, 5*v + 5*a = 135. Calculate the remainder when v is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10391, -10480, -10567, -10652, -10735, -10816, -10895?\nAnswer: -10972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = p, 4*p = 4*b - b + 56. Suppose 456 = 22*h + 2*h. Calculate the remainder when h is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624939673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*d - 3 - 7 = 0, 0 = -5*x + 5*d. Let r = 19 + -14. Solve r*i = -x*z + 25, 6 = -i + 3*z - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13914499 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*k**2*w**2 + 5*k**2 - 7*k*w**2 + 4*k*w + 9 wrt k?\nAnswer: -142*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 61 - 145. What is the highest common factor of m and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 + 104*w**3 - 6388*w**2 + 18376*w - 12096 = 0.\nAnswer: -56, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.8 + -18. Suppose -d - d - 6 = 0. Which is the closest to r? (a) -0.2 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 1:21 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21*y**2 + 10*y - 6. Let p(s) = -44*s**2 - 19*s + 10. Calculate 3*p(i) + 5*u(i).\nAnswer: -27*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 49. Let v = -47 + 59. Let r be i(v). What is the highest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1601, 1577, 1555, 1535, 1517, 1501?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 50. Let f be x(12). Suppose 5*v = -d - 24, -5*d + 3*v + 17 = -3*d. Let w(g) = -g**3 + g. Let i be w(d). Solve i + f = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -18*r**2 - 6*r**3 + 0 + 2\/15*r**5 + 1\/4*r**4 + 188*r - 1\/90*r**6. Factor a(w).\nAnswer: -(w - 6)**2*(w + 1)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/101363 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -2\/21, 23, -1\/88, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1191, 2383, 3641, 4995, 6475?\nAnswer: 8111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 not equal to -351014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 2. Let u be (2 + (-12)\/5)*-5. Let n(y) be the third derivative of y**5\/60 - 13*y**4\/24 + 3*y**3\/2 + 5*y**2. Give u*n(m) + 9*p(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -258*r**2 - 5*r + 15. Let t(p) = 779*p**2 + 15*p - 44. Let h(m) = 8*n(m) + 3*t(m). Find the second derivative of h(w) wrt w.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.3899489.\nAnswer: 0.3899489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:55 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39808 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -26*g - 9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 - 8*g**3\/3 + 2*g**2 + g - 1817. Determine r(-8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*g + 196*g - 56*g)*(31 - 5*g**3 - 31) to m*g + b*g**4 + f*g**2 + t*g**3 + z and give b.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6776*r**3 - 5383 - 267*r**3 + 988*r**3 wrt r.\nAnswer: -18165*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 2. Let w = -5 - -7. Which is the closest to 0? (a) 1\/3 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 at most 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3098, -6207, -9314, -12419, -15522, -18623, -21722?\nAnswer: -24819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*j**2*s + 5339*j**2 - j*s - 4*s**2 wrt s.\nAnswer: 98*j**2 - j - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)\/(8\/16). Suppose 2*r - 4*j + 38 = -5*j, -f*r - 72 = 4*j. Let o be (-6 + 2)\/r + 148\/10. Solve 0 = 2*d + d + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5610496 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen halves of a litre in millilitres?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/3)*x*x**(-3\/2)\/x)**(4\/15))**(-2\/11) assuming x is positive.\nAnswer: x**(76\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -207, -400, -699, -1140, -1759?\nAnswer: -2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/(-39 + -8). Is 0 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, s: 16, q: 1}. Give prob of picking 1 s, 1 q, and 1 k.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3 + x**2 + 5*x - 1 + 1 - x**3. Let o be (16\/(-20))\/2*5. Let y be -3*-2*o\/(-4). Determine z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**2 + 7*u + 9. Let t(j) = -5*j**2 + 4*j + 5. Let z = 8 - 8. Suppose -3*f + 13 - 1 = z. Calculate f*a(q) - 7*t(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. What is the second derivative of -13*i + 0*i**w + 0*i**2 - 7*i**4 + 7*i wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15497*m**2 + 4205*m?\nAnswer: -30994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 442054 (base 6) to base 16\nAnswer: 8f92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n + 3*h, -3*h = -9. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 12) to base 15.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(228)\/(sqrt(300) + 3*sqrt(300) + sqrt(300) + sqrt(300)))*2)**2.\nAnswer: -48*sqrt(19) + 90076\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -41. Let o = -29 + 40. Calculate the remainder when 20 - 0\/(-3)*j is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-114)\/12 - -7)*136. Let l = f - -350. Solve l*m - 17 + 47 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -15. Suppose 0 = -3*h - 5*p + u, 4*h + 2*p = 14 + 24. What is the remainder when 35 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167\/(-100534)*-172*(-14)\/(-4)*34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/3 - 16*p\/3 - 75 = 0. What is p?\nAnswer: -9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2010\/7 - -288. Suppose -s = t + 4 - 1, 3*s = -4*t - 10. Suppose 0 = -g + 3. What is the closest to t in -0.3, w, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -474443560 + 338878560. Round m to the nearest one million.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -0.4?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -443 + 131. Calculate the least common multiple of 38 and d.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*l - 7*y + 5*y + 7*y + 36, -2*l - 62 = 5*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/15840 and 43\/35470710.\nAnswer: 567531360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 3. Let m(z) = z + 1. Let j(w) = -2*d(w) - 7*m(w). Let i(v) = -v + 1. Let y be i(-1). Let k = y - 2. What is j(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150425631 is divided by 75212811.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-20)*(396\/(-30))\/(-11).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/10))**(-1\/7)\/(((u\/((u\/((u\/u**(3\/2))\/u))\/u))\/u*u)\/((u*u**(1\/37)*u)\/u)) assuming u is positive.\nAnswer: u**(1922\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -47\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from upuupppppu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvg. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/180 and -49\/1116.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*y**4 + 33*y**2 - 5*y**2 + y - 31*y**2 as l*y**4 + u*y**2 + a + v*y**3 + n*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhfhhkhhhjjjf. What is prob of picking 2 f and 1 k?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(0 + 4 + 1*sqrt(891) + 3 + -4) + -2)**2.\nAnswer: 4698*sqrt(11) + 73012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/6 + k**3\/3 + 2*k**2 + 8*k. Let m be o(-2). Let y be 13 + -14 + m\/2. Solve 8 = a - y*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*i + 1320 = -110*i - 90*i. What is the remainder when 8\/12 + 758\/6 is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79\/2 + -40. Which is the closest to u? (a) 2\/17 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 232, 481, 1150, 2449, 4588, 7777, 12226?\n\"Answer: 35*n**3 + 4*n + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 61 = 4*n. Let w(y) = -17*y**2 + 61*y - 145. Let j(g) = -14*g**2 + 62*g - 146. Let f(b) = n*w(b) + 7*j(b). Factor f(k).\nAnswer: 4*(k - 2)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 times 0.31?\nAnswer: -3.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8779806.187 rounded to the nearest one thousand?\nAnswer: 8780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqx when three letters picked without replacement from xpqel?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 10740?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -450.11\nAnswer: 450.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 744.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 741\/1976*80\/6. Solve a*c = 2*y - 7, 19*c - 24*c - 1 = 4*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-152)\/133)\/((-60)\/(-126))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/455 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233102 by -4019.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-1)\/3*741\/494?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(k**2 + 2*k**2 - k**2) + 59*k**2 + 325*k - 52*k**2 - 2 - 323*k - 2*k**2 - k**2 - k**2.\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -199*x + 39. Let u(f) = -78*f + 19. Let v(l) = 4*j(l) - 10*u(l). What is v(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220397.814 microseconds in days?\nAnswer: 0.000002550900625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 151*d. Let q(n) be the first derivative of -17\/6*n**6 + 0*n**4 + 0*n**5 + 4 + d*n**2 + 0*n - 3*n**3. Find the third derivative of q(z) wrt z.\nAnswer: -1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3586 and 16463?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**45 assuming w is positive.\nAnswer: w**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 - 1080*d**2 - 32228*d - 31152 = 0?\nAnswer: -236, -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - 0*z. Let o = -5257 - -5271. Sort o, -1, z in ascending order.\nAnswer: z, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 0, 0 = t + i - 1 + 5. Let a be -3 + (-3 + 2 - t). Suppose s - 2 = k - 3*s, 10 = 5*s. Solve a*f - k = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -76*a + 8357. Determine u(100).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -21. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 54, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1487.078 from -0.3.\nAnswer: -1487.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676700 rounded to the nearest 10000?\nAnswer: -2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, -21 = 4*l + l - 2*s. Let q(d) = d + 7. Let v be q(-5). Suppose -v*m = 14 - 6. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2009 + 2595 - 4604.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 3*w + 10. Let n be c(5). Which is greater: n or -1\/29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*2)\/((-2)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/37, 0.1, 1\/2, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 11. Let x be q(5). Let f be ((-18)\/4 - x)*0. Suppose -2*k + 3*p + 23 = f, 3*p + 40 = 3*k + 4*p. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/16 + 1\/16. Let w = 0.085 - -0.315. Which is the closest to k? (a) -0.3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 631, 2153, 5115, 9997?\nAnswer: 17279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -10 (c) 2\/709 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 18 = -4*a, 3*f = 2*a - 13 + 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25447+-0.15213\nAnswer: -25447.15213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*r - 3)*(6*r + 19*r - r)*(-3*r + 0*r**2 + 16*r + r**2).\nAnswer: 48*r**4 + 624*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k - 28 - 10*k**2 - k + 22*k - 34 + k**2 wrt k.\nAnswer: -18*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/(-16) - 7)\/((-1)\/(-20)). Let n(c) = -8*c - 230. Let z be n(o). Solve 0*v = -5*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3079 divided by -1146.\nAnswer: 3079\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/62944?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 2*k**2 - k**2)*(2*k + 2*k - k) + 0*k**3 - 3*k**3 + k**3 + (5*k + k - 4*k)*(0*k**2 + 0*k**2 + 2*k**2) to a*k**2 + l*k**3 + d + x*k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(10\/3)\/(-2). Let j(p) = p**2 - 5*p + 7. Calculate j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-72))\/((-20)\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b - 1. Let y(k) = 12*k**2 + 10*k + 2. Let v(i) = 4*p(i) - y(i). Let j be v(-3). Let n be -3 + 2 - j\/6. Is 8 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.18087 meters to kilometers.\nAnswer: 0.06818087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*c - 4 = -0*x, 0 = -5*c - 20. Suppose -i = 4*v - 77, -x*v - v + 4*i = -70. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/91)\/((-2)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 + 36 = 4*i, 0 = -3*c - 2*i + 29. Suppose -2*m - 3*m = -280. What is the greatest common divisor of m and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-18)*z))**(-8))**4 assuming z is positive.\nAnswer: z**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -93*l - 25. Calculate the least common multiple of 22 and i(-1).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125048)\/968 + 127)*99\/(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - -5) + (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 55*b)*(1 + 1 + 0) + (b - 3*b + 0*b)*(0 + 2 - 4).\nAnswer: -106*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 3*k - 5*k)*(-3 + 1 + 4)*(-186 + 79 - 144).\nAnswer: -2008*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61.0937 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -9 - (0 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (390\/(-40) - 6\/(-8)) + 3. Let b be (-5)\/((-60)\/36 + (-4)\/m). Let l(w) = -3*w - 3. Let f be l(-2). Sort -3, b, 2, f in increasing order.\nAnswer: -3, 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 22*t - 15 + 5.\nAnswer: 22*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/2 (b) -0.13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 352110 at most as big as 1056334\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 851920591 + 851920591.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 93974800 to the nearest one million.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22\/y)\/y**(-11))**(-45) assuming y is positive.\nAnswer: y**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 11. Let p be x(-8). Suppose 2*g + 4*z = g + 17, 0 = g + p*z - 12. Is (-6)\/9 - 161\/g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - (-78 + 109 - -94)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -3225666.\nAnswer: 116123976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 0*a - 4*a)*(3 - 9 - 8).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 79 in decreasing order.\nAnswer: 79, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141886784 and 1664.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*z - 7*z + 20 = 0, -3*z = -2*t + 2*z - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*x**5 - 53*f*x**4 + 155*f - x**2 wrt x.\nAnswer: -60*f*x**2 - 1272*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3. Suppose -3*g + 2*h = 4*h - 2, -4*h + 4 = -3*g. Let u be x(g). Let z(p) = 7*p**2 - u*p**2 - 5*p**2. Let m(f) = 8*f**2. Give z(m(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {e: 1, k: 1, z: 1, v: 2, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246254971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52481880 divided by -3960\nAnswer: -13253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/15 + -8\/15. Let u = 15.9 + -10.94. Let b = -0.04 - u. What is the closest to j in 0.2, 3\/4, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21012132002 (base 4) to base 5\nAnswer: -1102321134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t - 6*t + 3*t)*(3 - 16 - 19).\nAnswer: 416*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120202121 (base 3) to base 10.\nAnswer: -11491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + s + 2*s - 20 + 51 in the form g*s + w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.04, 3, -1\/3, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233\/7728 - -82\/161. Calculate the common denominator of y and -17\/1548.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 1bac1?\nAnswer: -1baac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-1))\/(-8))\/((-2)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/(-4) + 3). Suppose 4*l - o*l = u + 9, 3*l - 10 = 5*u. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 8) to base 9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/74 + 100232440\/10360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/7 + 2302962*w\/7 + 657988 = 0.\nAnswer: -1151479, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 1a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -4, -7, -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 52*h - 57*h + 9, -c = -7*h + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445 - 0?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5268b (base 12) in base 10?\nAnswer: -2596427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2572750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 30 = 2*q, -820*f + 821*f + 55 = 5*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 33*s + 28 = -37*s, 0 = 5*a + 3*s - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2273 by 6.\nAnswer: -2273\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 - 0.077?\nAnswer: 355.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*j - 4. Let s = j + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -9, -52, -129, -252, -433, -684, -1017?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6*(-7)\/105)\/(12\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) 733 (d) 2913.9 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81)\/(-6))\/((-3)\/(-4)). Suppose 2*d = h + 36. What is the remainder when 78 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1\/68 (c) 0 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 1. Calculate l(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211636 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 2*p - 34. Let j(i) = -80*i**2 - 55*i + 920. Let y(x) = 2*j(x) + 55*k(x). Let s(f) = 2*f. Determine s(y(w)).\nAnswer: 10*w**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 0.126, -2\/13, -2 in descending order.\nAnswer: 0.5, 0.126, -2\/13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025657356 to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 + -195. Let q be (-1)\/91 + m\/13. Let t = 3 + -2. Which is the second smallest value? (a) 0 (b) q (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84.41672 + -0.06328. Round b to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 y when four letters picked without replacement from zyjyejjezjjjjjjjjj?\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/(32 + (-1183)\/35)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*g - 38 = 3*h, -g = -h + 18. What is the second derivative of -h*r**2 + 2*r + 32*r**2 + 13*r wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-91 - (-2 - (-2 + 18))) - -12?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140 in 0.3, -2, 1\/2, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11. Solve l*q + 3*q = 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21*q - 12. Determine v(5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 782897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 45915?\nAnswer: 505065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:19 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (27 + 101 - 63).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-2)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 666247030 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17883?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 36415488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/112)\/((-63)\/(-72))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022020 - -1002110212?\nAnswer: 1010210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c. Suppose -3300000 = 5*y - c*y. Round y to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3956 + 4076. Solve 16*x - u = x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Let r be o(1). Suppose 5*b = 5*g - 25, -r = 2*g - b - 8. Let x = -0.04359 - -0.04359. What is the biggest value in g, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2. Let l(w) = w. Let q(p) = 3*p - 2. Let o(i) = -7*i + 5. Let y(c) = -2*o(c) - 5*q(c). Let f(v) = -l(v) - 2*y(v). Determine f(d(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 20, 0*q + 5*q - 4*p - 11 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(21\/(-18) + 9\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92109592 and 28252?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 - 4*p**2 + 5 - 4049*p + 4051*p to the form r*p + x + b*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 127067*q**2 - 4034789671*q + 109031972643.\nAnswer: -(q - 27)*(q + 63547)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -2*j - 3*w, 0 = j - 2*w + 10. Let q = 6 + j. Let f be 10\/(-15)*(-2)\/q. Which is smaller: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/2 - h**3\/6 - h**2 - h - 6. Let n be r(-1). Put n, -4, -2, -43 in decreasing order.\nAnswer: n, -2, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201 + -231?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**3 + 3*d**2 - 177*d - 365. Let j be v(-2). Sort 7, -4, j, 1.\nAnswer: -4, 1, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(112) - -6*(0 + sqrt(112))))**2.\nAnswer: 87808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 9*y - y + y - y + (-3 + 3 - 2)*(-3 + 3 - y) - 3*y + y + 0*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.144 + -0.156. Let z = 7 + n. Which is the second biggest value? (a) 3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/9, 200 in decreasing order.\nAnswer: 200, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 62*l\/3 + 116\/3.\nAnswer: 2*(l - 29)*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*f**3)*(-2*f + 4*f - f) + (-f**3 + f**3 - 4*f**3)*(0*f + 12*f + 0*f).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/7, 7, 3 in decreasing order.\nAnswer: 7, 3, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 less than -0.052?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*c - 12, 0*c = -5*y - 3*c - 34. Let n = 11 + y. Solve -5*r - 16 = q, 4 = -3*r - 5*q + n*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 77 + 11. Let t = -44 - k. Solve -c = z - 4*c - 8, 5*c + 10 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -23*u + 3. Suppose 14 = -5*q - 7*f + 5*f, -u*q - 2*f - 6 = 0. Let h(v) = -2*v**3 - 6*v**2 - 3*v - 6. Calculate h(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7215 + -2?\nAnswer: -7217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -23*r. Let j(g) = -g**2 + 11. Calculate j(u(n)).\nAnswer: -529*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -16. Let c = l - -13. Let y(a) = -2*a. Determine y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 87. Let d be 5\/(-2)*q\/(-55). Let k(r) = -2*r - 1. Calculate k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**8)\/d)\/d)\/d)\/(d**(-15)*d) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 726*y**2 + 1327*y?\nAnswer: 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**3 + 0*i**3 + (i**4 - i + i)*(0 + 2 + 5) - i**3 + i**3 + 2*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a century in months?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List 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 millions digit of 4667967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 59*m**2 + m - 2. What is z(1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 102*r + 109. Give i(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 1. Let f(y) = 6*y + 97. Let d(l) = -f(l) + 3*s(l). Let k be d(-13). Let n = -35 + 51. Solve -t = -4*m - k, -m = -6*m - 4*t - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 8*s - 63. Let x(l) = l**2 - 13*l + 16. Let z be x(s). Suppose -z*c - 2*h = -6, 5*c - 1 = c - 3*h. Put c, -9, -3 in descending order.\nAnswer: c, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*o + 408 - 813 + 404 in the form h + i*o and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(2*v - 2*v - 2*v) + (6 + 1 - 8)*(6 + 10*v - 6).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 183089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (18 - -1 - (39 + (-15 - 15))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*5\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Let x(g) = 0*g**r + 7*g**2 + 2*g**2 - 3*g**2. Let b(a) = 2*a. What is b(x(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5554\/7 + -749782\/945. Let t = k + 63107\/24570. What is the common denominator of -27\/13 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9770 + 29557\/3. Let d(o) = -20*o + 3. Let z be d(-4). Let i = v - z. Which is the third smallest value? (a) i (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1745*d*k**2 + 690*d wrt k?\nAnswer: -3490*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.801 - 0.031. Let p = k - 4. Round p to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 0.0729072857?\nAnswer: 2.0729072857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1\/p)**(-19)\/((p\/(p*p*(p*p*p**1\/p*p*p)\/p*p*p))\/(p**(-1\/9)*p)) assuming p is positive.\nAnswer: p**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*n + 181*n + 227*n - 1034*n + 259*n.\nAnswer: -130*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32053921 to the nearest integer?\nAnswer: 5662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r + 14. Calculate h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-14)*196\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - a + 18, -2*w = -28*a + 27*a - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(6\/(-228)*4\/10). Let y = -94 + 38. Let r = x + y. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 321\/1170 + 38\/(-741) - (-15)\/(-50).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140864820 by 7043241.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((-31)\/(-186))\/(4 + 41\/(-10))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 13*m - 21. Solve m*w = -0*x - x - 17, 4*x = -4*w - 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*c*n**5 + 4*c*n**4 - 1752*c*n**2 wrt n.\nAnswer: 7440*c*n**2 + 96*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/20350 and 46\/457875.\nAnswer: 915750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 0 - 6*u**2 + 18*u**2 + 20.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68564 divided by -281.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*m + 830, 4*m + 0*m + 2*b = 844. Suppose 0 = p + 2*p - m. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 27989 (b) 47 (c) -5 (d) -3 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:03 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -45*i**2 + 451*i + 26. What is a(11)?\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-24 - -13 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11327*i = -11295*i + 192 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = -3*i, 3*y + 0*y + i = -8. Which is the closest to 0? (a) y (b) -7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -34. Suppose -2*l + 56 = 2*w, 11*l - p*l + 15 = 0. What is the remainder when 41 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40093 times 0.4?\nAnswer: -16037.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22280842.23 + -3.\nAnswer: 22280839.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4672 - -2532. Round v to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 122*g - 30. Let k be t(-7). Let v = k + 1319. Calculate the remainder when 6\/9*(v\/(-2))\/(-5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from dhdddoddhooo?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/((-1)\/(3\/(-15))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 20\/16 - (1 + 11\/66). Let r(z) be the first derivative of c*z**3 + 1\/8*z**2 - 3 - 1\/16*z**4 - 1\/4*z. Factor r(j).\nAnswer: -(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h*(h*h\/(h**(-2)*h*h))\/h)\/h)*h))**(3\/4) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, i: 1, m: 2, d: 1}. Give prob of sequence dm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + (sqrt(14)\/sqrt(72) - (2*sqrt(42))\/sqrt(6)) + 3 + 2)*6)**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/72)\/(1\/3). Let o = 108 - 113. Sort s, o, 2\/7 in descending order.\nAnswer: s, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*h + 13, 4*h - 3*c - 23 = 2*c. Let b = 4.81 - -16.09. Let d = 21 - b. What is the nearest to 1 in d, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14350 and 334075?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104607.\nAnswer: 3, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1061216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 - 4*u - 70. Suppose 4*w = 3*w - 9. Let c = 6 + w. Calculate l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 42*p**3 + 280*p**2 + 22*p + 96. Give b(-8).\nAnswer: -3664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 938, 1388, 1838, 2288, 2738?\nAnswer: 3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 58\/5, -444176 in ascending order.\nAnswer: -444176, 1, 58\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -43*t + 1076. Let d be o(25). Let f = -194 + 126. Let j be f\/(-145) - 4\/10. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17809*j**2 - 28807*j**2 - 35328*j**2.\nAnswer: -46326*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b04 - 36d?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 98759?\nAnswer: -98758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ninety-four thirds of a minute?\nAnswer: 1880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 1, -37, 2, -2, 266.\nAnswer: -37, -2, 1, 2, 49, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4384?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-8 - (-4 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388291.\nAnswer: 97, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + 4*((1 + sqrt(891) + 2 - (1 + sqrt(891) + 5)) + 4))*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -93, 266, 893?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*l = -136*l - 30, -o = -l + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 2050 = 9*l - b, 10 = 5*b. Let y = -332 + l. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/7390?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -60. What is the nearest to k in -1\/3, 3\/8, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b5780 + 2?\nAnswer: 5b5782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14416 divided by -8441.\nAnswer: 14416\/8441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358 + 364. Which is the third smallest value? (a) j (b) -2\/9 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (1 - -1) + (-6 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 233?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, -48\/43, 2\/15, -1\/2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62885 + -0.34515. What is the second biggest value in 0.2, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a723 - 155?\nAnswer: 8a5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/6 - 13*d**3\/3 + 43*d**2\/2 + 52*d\/3 - 266\/3 = 0.\nAnswer: -2, 2, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 36. Suppose 0 = -2*y - 2*v - h - 8, 2*y - v + 6 = 0. Which is the fourth biggest value? (a) y (b) 0.3 (c) 1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 h when four letters picked without replacement from {c: 4, x: 2, h: 2, t: 4, a: 2, d: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 1. Let t(r) = -35*r**2 - 1339*r - 13. What is -11*b(q) - t(q)?\nAnswer: 2*q**2 + 1339*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 - 335. Let y(g) = -6*g - 9. Calculate the remainder when w is divided by y(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5*-1)\/(200 + -205). Solve j = y + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20402822 divided by -11.\nAnswer: -1854802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 3452585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 18*w**2 - w + 3. Determine j(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*i - 30, 5*w + 6*i = 2*i - 31. Let n(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - 3*g. Let x be n(w). Is x >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -1036\nAnswer: 13\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juv when three letters picked without replacement from {k: 1, i: 1, v: 1, u: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502 + 481. Let f be (14\/6 - 0)*(t - -27). Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 24. Suppose 13 = 15*l - 152. Suppose -13*s = -l*s - c. Solve -2*k = s*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1654*b + 198456. Determine t(120).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 - 4003*q - 5010 = 0.\nAnswer: -5\/4, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088314 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4)*15\/30)\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1\/5, -0.073, 0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101982792 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95479 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 7*w + 5. Let u be v(-8). Calculate the least common multiple of 14\/u*54\/(-21) and (-2)\/(7\/(-1 + -76)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*g - 12 = 0, 2*r = -2*g + 6 - 2. Let w be (-5)\/2*6\/r. Suppose -6 = -a - 4*l, -3*a + 4*l + w = -45. What is the lowest common multiple of 16 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11, 5, 0.2, 339.93, 2\/13, 1.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 2*l**2 - l - 44 + 23 + 2*l**3 in the form r + u*l**3 + i*l**2 + h*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + 40*i - 30. Let s be b(-7). Let r(h) = h**3 + 15*h**2 - 17*h - 18. Calculate r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqj when three letters picked without replacement from {j: 2, h: 1, w: 1, q: 2, u: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51244124 (base 7) to base 2\nAnswer: -10000010100111011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jro when three letters picked without replacement from {r: 1, n: 1, o: 7, d: 2, j: 4}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074, -1874, -2676, -3480, -4286, -5094?\nAnswer: -5904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v - 2*v)*(-29229*v**2 + 29229*v**2 - 318*v**3) as c + s*v + x*v**3 + m*v**4 + z*v**2 and give m.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 5. Let h be a(5). Suppose k = 2 + h. Suppose -z + 3 = 0, -k = -0*c - c - 4*z. Sort c, 3\/5, 0 in increasing order.\nAnswer: 0, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8765b (base 16) in base 11?\nAnswer: 6907650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42077573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77906.24ml in litres?\nAnswer: 77.90624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*l - l - 270, -3*l - 396 = -3*u. Let h = -77 + u. Let o = -14 + h. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 4) in base 16?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 4d?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 5*t)*(-t - 2 + 2) + 5 - 5 - 2*t**2 + 2 - 2 - t**2 + (3*t - 5*t + t)*(-2 + 2*t + 2) + 2 - 2 + 6*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11273 divided by -3?\nAnswer: -11273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*k - 71, -3*m - 2721*k = -2722*k - 47 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162222 and 216296.\nAnswer: 648888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/5)*r*r*r**8*(r\/((r\/(r\/r**(1\/6)))\/r*r))\/r**(-1\/2))**48)**(-12) assuming r is positive.\nAnswer: r**(-34368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 527106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -623*b*y**5 - 5*b*y**4 - 168*b*y**2 - 349*b + 3*y**4 wrt y?\nAnswer: -37380*b*y**2 - 120*b*y + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 7. Let u(g) = -g - 2. Let b(q) = -4*h(q) - 14*u(q). Let o(k) = 46*k**2 + 13*k**2 - 34*k**2. Give b(o(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w**2 - 72*w**2 + 71*w**2 - 42*w**2.\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -43. Let f = 55 + o. Let u = f - 12. Which is the closest to 1? (a) u (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -92*q + 882 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110000000111110000 (base 2) in base 7?\nAnswer: -40261603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -16 - -2) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5324)*1*-3)\/((sqrt(576) + sqrt(576) + 1*sqrt(576))*-2).\nAnswer: -5 + 11*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -1 (c) -0.1313 (d) -6 (e) -26 (f) -2 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80) + -2*sqrt(80))\/(sqrt(12)\/(sqrt(12)\/sqrt(4))) + 2.\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 - 30*q**4 + 75*q**3 + 60*q**2 - 348*q + 240 = 0. What is q?\nAnswer: -2, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61044, -61042, -61038, -61032, -61024, -61014, -61002?\n\"Answer: x**2 - x - 61044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feygfffyyfyyeffyyi. What is prob of sequence gy?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1377\/(-34))\/27)\/(116\/96 - (-26)\/39).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*d + 103 = -12, 0 = 4*m + 2*d + 90 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3220112 (base 4) to base 12\nAnswer: 8732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3183 and 3541618.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxdxddndxdnxnnxd. Give prob of sequence dxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -200?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzj. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + m + 1. Let w be t(2). Let b(h) = h**3 + 4*h**2 - h - 7. Let g be b(w). List the prime factors of 3\/g - (-1910)\/18.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 + 20*j**5 + 38*j**5 + 0*j**5 + j**5 + j**5 + (2*j - 4*j + j)*(3*j**2 - 3*j**2 + j**4) - 5 - 2*j**5 + 5 - j**5 - j**2 + j**2.\nAnswer: 51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.68025 + 3.78827. Let d = y + -2.008. Let h = 0.1 - d. Round h to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 0 + sqrt(180) - (-2 + sqrt(5) + -4))**2.\nAnswer: 132*sqrt(5) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 1. Let p(v) = -v**2 + 5*v - 8. Suppose 662*l + 1287 = 161*l + 285. What is l*k(s) + p(s)?\nAnswer: -s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 23036*i - 132664324.\nAnswer: -(i + 11518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19612074 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**2 + 8\/105*w**7 + 1\/5*w**6 + 1\/6*w**4 + 0*w**3 - 22*w + 1\/84*w**8 + 0 + 4\/15*w**5. Factor p(z).\nAnswer: 4*z*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 0.2, 6 in decreasing order.\nAnswer: 10, 6, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62688166 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 4*n - 8 = -9*v, v + 2*n = -14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 193236 and 75?\nAnswer: 4830900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2 + 18. Let d(g) = -7*g - 1. Let q(l) = -8*l - 1. What is j*q(s) + 5*d(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 115. Let v(a) = -1582*a. What is v(b(d))?\nAnswer: -1582*d + 181930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1042433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(308) + sqrt(308)*-2)*3)\/(4*sqrt(275)))\/(-5*1*sqrt(4) - (sqrt(64)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 7\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.55 + -10.55. What is the closest to t in 11, 1\/3, 95?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.71139 + 0.24.\nAnswer: -0.47139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 52, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**5*x + 8481*g**5 + 3*g**2*x - 3*g**2 - 2*g + 10*x wrt g?\nAnswer: 300*g**2*x + 508860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 3, 0, -4 in increasing order.\nAnswer: -4, -1, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. Let t be (-10)\/(-4)*(-8)\/q. Calculate the highest common divisor of t and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 183, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/4)*m)\/m**(-2\/13))**32)**(1\/61) assuming m is positive.\nAnswer: m**(792\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -133160 rounded to the nearest one thousand?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*2\/48)\/(1\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((21*b + 29 - 29)*(5 - 5 - 2*b) - 1 - 4*b**2 - 2469*b + 2469*b)*(-5 + 6 - 4).\nAnswer: 138*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -1. Let w = -4.7 - -4.9. Let f be (3\/(-7))\/1*-1. Sort w, i, f in descending order.\nAnswer: f, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(-35*v**2 + 5*v**3 + 35*v**2)*(-1 + 3 - 5).\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a hour in minutes?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(15\/24*6)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x - 4*x + 48438. Is 12 a factor of (x\/156)\/(1\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/6 - 316181*i\/2 - 474272\/3 = 0.\nAnswer: -1, 948544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26425, -52851, -79277, -105703, -132129?\nAnswer: -158555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 = -5*g + 3*m - 519, -30 = 5*g - 8*m for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.60862, 4, -12, 0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/12 + 3*f**2\/2 + 1. Let t(g) be the second derivative of n(g). Let x(w) = -2*w**2. Give t(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 5. Let l be s(-5). Let v = -12 - -4. Let j = v - -4. Sort l, -5, j.\nAnswer: -5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59479885*v**3*y + y - 17678714 wrt v?\nAnswer: 178439655*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 10*t**2 - t + 7. Let a be v(10). Let l = a - -6. Let q be 1*0\/(l*-1). Solve -3*k - 5 - 1 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 139\/11 in 1, -0.1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjurffe. Give prob of sequence rzue.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104857, 119184, 133511, 147838, 162165, 176492?\nAnswer: 190819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.543 - -26.55. Suppose 3*y + 8 = -o - 3*o, -2*o - 4 = y. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k + 8. Determine p(-18).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -314890 and -2204220\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/5? (a) 2\/5 (b) -2\/19 (c) -7 (d) -0.4 (e) 0.71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeeffee. Give prob of sequence feef.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**1))**12)**(-1\/3)*(r**(2\/9)*r*r**(2\/5))\/(r\/r**(-4)*r\/(r**(2\/3)\/r)*r) assuming r is positive.\nAnswer: r**(-257\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 14241 = 2927. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g + 20 = 0, 2*q = g + 15. What is the remainder when 77 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-6)*(-168)\/189. Let m be (-4)\/(1\/(-1)*2). Suppose 4*j = -l + h, -3*l + 4*j - 4 = -m*l. Sort l, -5, 0.15.\nAnswer: -5, l, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:07 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*l + 6, -3*l + 7 = 2*h - 6*h. Is (-180)\/24*l*-2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/((-2912)\/2145) + 26 - (-15)\/(-5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -k - 2*k + 3, -4*a - 8 = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2232 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*i - 31*i + 1470. Let q = i + 287. What is the greatest common factor of q and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 78. Calculate the remainder when u is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3639284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967852 is divided by 3420.\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4837*r - 180 = 4882*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(4 - 1 + 0)*(-s + 5*s - 3*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 390\/(-70) + (-12)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyp when three letters picked without replacement from luylauluapu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604843.\nAnswer: 17, 47, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = n, -5*f + 5*n - 33 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/44 and 65\/3676.\nAnswer: 40436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4410)\/(-70) - (131 - 47).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = -12, -3*w - 16 = -4*m. Suppose 3*d = -5*o + 311, -4*o + w*d = 4*d - 244. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y + 6*y + 5*y + 7*y. Let v(f) = 8*f. What is n(v(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -137, -129, -117, -101, -81?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g + 36 = 0. Let r be (-27)\/2*(-12)\/g. Solve -5*w + r = -2*z - 11, 4*z = 2*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 92?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 5, f: 3, i: 1, d: 2}. Give prob of picking 1 d and 3 m.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let m = d - -5. Suppose 0 = -t + m - 2. Solve t = h + 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**(2\/19)*n))*n)\/n)**9\/(((n*n*n**(-8))\/n)\/(n*n**18)) assuming n is positive.\nAnswer: n**(512\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16978376139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 5*u + 5. Let x(l) = -2*l**2 - 14*l + 14. Let n(p) = -14*i(p) + 5*x(p). Let r be n(-1). Is (r\/(-4))\/((-2)\/178) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let f(k) = 2*k - 3. Give -2*f(x) + 6*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-1 + 7)) + (4 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 490 + -488. Suppose 0 = -z*w + 8543 + 18339. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) -1 (d) 11 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**3*r**4*y + 4*l**3*r**2 + 2*l**3 - 10*l**2*r**4*y - 13*l**2*y + l*r*y - 10*l wrt r.\nAnswer: -96*l**3*r*y - 240*l**2*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + (sqrt(175)*-1 + -3 - sqrt(175)) + 2))**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - g**3 - 2*g**3)*(5*g + g + 2*g)*(1 + 3 - 2)*(-3 - 5 - 25).\nAnswer: 1056*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -66200 to the nearest one thousand.\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)\/s**(-1\/6)*(s**(-2\/3))**23)\/((s\/(s*s*s**(-5\/6)))\/(s*s*s**(1\/6)))**46 assuming s is positive.\nAnswer: s**(3847\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 20*h = 176. Suppose -67*s + 71*s + 2*a - 6488 = 0, 0 = -h*s - 3*a + 6488. What are the prime factors of s?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -22a?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 44*j**2 + 7*j - 14. Let t(z) = -39*z**2 - 8*z + 13. What is -8*b(q) - 9*t(q)?\nAnswer: -q**2 + 16*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrsbsjbbjssbsbjrrrs. Give prob of picking 1 s, 2 j, and 1 r.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048 is divided by 105?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/3*u + 1\/3*u**2 + 8 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - s**2 + 2 + 0*s - 5*s. Let d be 11\/((-33)\/2)*6\/1. What is w(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from mmlmmmlmllqlll?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408\/2483 + -2\/191. Let y be -16 + 4 - 1305\/(-116). Which is the nearest to y? (a) k (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*2)\/(-2) - 30\/(-480)*-32. Let a be (-10)\/(-6) + -5 + 3. Sort w, 5, a, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:19 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/2 - 55940232*v**2 - 223760931*v\/2 - 55940233 = 0. Calculate v.\nAnswer: -1, 111880466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 374*a + 6408. Determine h(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f9 (base 16) in base 13?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 54. Suppose -954*u + 114885 = -819*u. What is the greatest common divisor of q and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddyymdyd. What is prob of picking 3 d and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 + 1. Let i(x) = -x**3 - 10*x**2 - 10*x - 7. Let d be i(-9). Let n(y) = y**3 - 2*y**2 + 2. Give d*u(h) - n(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(95) - -2*sqrt(95)*-2)\/sqrt(5) + 2)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -16, 3, -5, 252 in decreasing order.\nAnswer: 252, 3, -2, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 8302 = -8548 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109643 is divided by 36476.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40009, 40025, 40057, 40111, 40193, 40309?\nAnswer: 40465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911416.\nAnswer: 2, 757, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 94771066+575673\nAnswer: 95346739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ucowooooyyoccwcooyy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3, 485, -13 in decreasing order.\nAnswer: 485, 1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33746623 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let n(a) = 3425024*a. Determine v(n(w)).\nAnswer: -6850048*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8403768 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843885 is divided by 2534.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 916928, 916926, 916924, 916922, 916920?\nAnswer: 916918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1529\/9357 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 381?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 + -497*(-1)\/(-4). Let m be (-589)\/b + (-6)\/8. Suppose 0*p = -4*p. Solve -c + 7 = -2*s, p*s + 19 = s + m*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h. Let z be 0\/(-3) - 3\/(-1). Determine k(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 29 + 4 = 0. Suppose 2*a + 0 = 5*q - 4, 3*q - 3*a + m = 0. Let y(x) = -6*x**2 + 3*x**q - 3*x**2 + 8*x**2. Let o(v) = 38*v. Calculate y(o(c)).\nAnswer: 2888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7186587257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-30)*m**(2\/11))\/(m**(-1\/11))**23 assuming m is positive.\nAnswer: m**(-294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -185*i + 188*i + 209, -2*i = -5*w + 211 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-13 - -5)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.3, 3, 374633, -0.1 in decreasing order.\nAnswer: 374633, 9, 3, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 735, 2889, 6479, 11505, 17967, 25865, 35199?\nAnswer: 45969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 6, 17, 28, 39?\n\"Answer: 11*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000225672 to seven decimal places.\nAnswer: -0.0002257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 - -2985\/8. Let f(v) = -2*v. Let q be f(-5). Calculate the common denominator of 10\/(-8)*(-2)\/q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12651, -25342, -38033, -50724, -63415?\nAnswer: -76106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 638, 648, 664, 686?\n\"Answer: 3*p**2 + p + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6734 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 + (-200)\/(-6). Let y = 33 - x. What is the common denominator of -23\/2 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(27)\/sqrt(12)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1631.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -j - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1339, 0, 2, 4, -1, 22 in increasing order.\nAnswer: -1339, -1, 0, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-2 + sqrt(117) - sqrt(117) - (sqrt(117)*-2*4 + sqrt(117)))**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 859361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 955710 divided by -6.\nAnswer: -159285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -6 - (-1 + -9 + -81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -160, -26, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -1\/20*u**5 + 26*u - 5\/12*u**4 + 9\/2*u**2 + 0 + 11\/6*u**3. Let z be t(-7). Calculate the highest common factor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*x**4 - 28*x**2 + 5*x - 944.\nAnswer: -1140*x**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 836335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(704) + -1)*4)**2.\nAnswer: -4608*sqrt(11) + 203040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/((-4*5\/2910)\/(-6)). Is (-9)\/(-72) + y\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01091 + -0.0109104854. Round p to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 6*a**2 - 12*a**4 - 3 - 10*a**4 + 5 + 90*a**4 - 5*a**2 to the form w*a**4 + f*a**3 + z + j*a + i*a**2 and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18466588 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 20. Let m be h(-14). Let b be 4*(-2)\/m + -6. Suppose 3*p + 3 + 5 = -s, 0 = -s - 5. Put 2, p, b in decreasing order.\nAnswer: 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzejjjjeejee. Give prob of picking 1 e and 1 z.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24978?\nAnswer: 2, 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 836925 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: Expand (-72 - 38 - 19)*(2*x - 2*x + 2*x).\nAnswer: -258*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(4\/(-60)). Let n(g) = -g - 8. Let a be n(l). Let u = a - -54. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*n + 39*n - 5*j - 23, -10 = 2*n + 3*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527121991 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {h: 1, g: 2, q: 1, v: 2, f: 1, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/1425*5\/(-1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 5, -42 in decreasing order.\nAnswer: 210, 5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2023, -7665, -16917, -29779, -46251, -66333, -90025?\n\"Answer: -1805*g**2 - 227*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2171.867 + -2173. What is f rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -16, 8, 62, 158?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -22213030?\nAnswer: -22213032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 12*u - 22. Let c be g(-14). Suppose c*a = -a - 126. What is the remainder when 8\/36 + (68\/a)\/(-1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176 by 44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 539 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 23. Solve -5*j + q = -3*u, 9*u - 4*u + 17 = 3*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frkp when four letters picked without replacement from prkrfss?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*i + c, 0 = 2*i - 0*c - c - 13. Suppose -5*r + 60 - i = 0. Let o be 0\/2 - (-89 - -1). Calculate the highest common factor of o and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:36 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/15, -29, -2\/7, 0 in descending order.\nAnswer: 2\/15, 0, -2\/7, -0.4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 102 = t, -4*t - 400 = -6*b + 2*b. Let l = -71 - t. What is the remainder when 57 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/53, 0.3, -0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -17. Let o = g - 20. Solve 3*z + 6 = 4*m + 5*z, o = 3*m + z - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(847) - (-3 + sqrt(35)\/sqrt(5) + sqrt(7)))**2.\nAnswer: 384*sqrt(7) + 28681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6952 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64756187 less than or equal to 64756186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8844278\/1477 + 5988. Are -1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -11. Suppose p - 3 = -i - 2*i, -3*i = -p - h. Suppose 0 = i*z - 7*z + 20. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - 13*m + 755. Does 5 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 14*z**2 - 13*z + 5. Let s be w(13). Solve 6 = s*b - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 84 + 3 + -1 + -9 + 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67050)\/(-1500) - 165\/(-550).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n - g - 11, 2*n + 10 = 4*g. Is ((-14)\/4)\/(n\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2*6\/(-21)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dc (base 16) to base 4.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 16, 4*x + 4*h = 24. Solve 4*n = -y - 10, -n + 4 = -y - x*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let f(y) = -y**3 - y**2 + y - 1. Let s(g) = 8*g**3 + 6*g**2 - 6*g + 7. Give r*s(q) + 6*f(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 827, 111.\nAnswer: 0, 111, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 95 = -3*u, 3*d + 2463 - 2500 = -u. Calculate the highest common factor of 3725 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/9 (c) 16 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -25*i**4\/12 + 8*i**3\/3 - 12*i**2. Let l be u(-2). Which is smaller: 233\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 13012159?\nAnswer: -13012159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 91 = 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/8189104 and -13\/4606371?\nAnswer: 73701936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**2 + c**2 + 0*c**2)*(-347 + 255 + 249) - 2 + 2 - c**2 + (c - 4*c + 5*c)*(-1 + 1 - 2*c) as d*c + r*c**2 + b and give r.\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1030, -1\/168, -0.5 in decreasing order.\nAnswer: -1\/168, -0.5, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -2, -1, 0 in ascending order.\nAnswer: -5, -2, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 + 3. Let c = 1.6 + l. What is the nearest to c in -1\/3, 0.4, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29184 and -29179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 9. Let x be q(-7). Let h = x - -54. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.24088 + 0.00312. Let p = -13.84 - 0.16. Let c = b + p. Round c to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = 4*i. Let x = 9 + i. Let l = x + -3. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytaa when four letters picked without replacement from jaattaxyxabt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 79 - (75 + -13 + -6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/(-34)*(-20)\/6. Factor -l - 4 - 3*l**2 + 7*l - 4*l**2 + b*l**2.\nAnswer: -2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1928 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (40 + -39 + (-2 - -10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 - 29 = 0. Suppose p = 6*v + 4. Solve 4*l = v + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let a be (c - -4)*1\/(-2). Let f(p) = 3 - 4*p**2 + p**2 + 2*p**2 - 2*p. Determine f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**3 + 0*k**3 + k**3)*(k - k - 2*k + (-1 - 1 + 0)*(k - 2*k - 2*k)) as d*k**3 + a + w*k**2 + q*k**4 + l*k and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 11, n: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + i - 17 = -10, -2*i - 6 = 0. Let f(p) = -1 + 4 - 456*p**m - 3 + 448*p**2. Let h(l) = 19*l**2. What is f(h(c))?\nAnswer: -2888*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 7) to base 15\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3536248l?\nAnswer: 353.6248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 98 = 49*p + 482 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmrwrrrrrmrrmwxmrrrm. Give prob of picking 2 x and 1 w.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 122, 223, 374, 581, 850, 1187?\n\"Answer: s**3 + 16*s**2 + 2*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9, u: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4104)\/132)\/9 - (-128)\/32?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(392) + (sqrt(392) - (sqrt(392) + (sqrt(392) - (sqrt(392)*1 + sqrt(392) - sqrt(392))))) + sqrt(392) + sqrt(392)))**2*-4.\nAnswer: -8\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 + k**2)*(-1620*k + 436*k - 1156*k - 243*k).\nAnswer: -5166*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 0.2.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 35 = 0. Suppose g = o - 1. What is the first derivative of p - g + 0 + 1 + 4*p wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 377, 755, 1133, 1511?\n\"Answer: 378*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 + f - 2. Let j be b(1). Sort j, 1, -11, 4 in descending order.\nAnswer: 4, 1, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*o**3*p**3 - 212*o**3*p + 65468*o*p**3 wrt o?\nAnswer: -1356*o*p**3 - 1272*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -10011110100111111011001?\nAnswer: -10011110100111111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98613\/100 - 986. Let i = d - -3\/25. Let m = 0.3 - 0.2. Which is the closest to m? (a) i (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*w + 17 = 0, 0 = -5*t - 4*w - 0*w + 35. Let s be (-329)\/(-21) + 2\/6. What is the third derivative of 4*n**t - 16*n - 9*n**2 + s*n + 3*n**2 wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027, -2052, -3073, -4090, -5103, -6112, -7117?\nAnswer: -8118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 180404, 180398, 180392?\n\"Answer: -6*d + 180410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 0*u)*(-2 + 3 + 0)*(-3*u - 4*u + 2*u)*(3 - 3 - 2).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -1062, -1599, -2120?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -217423.82 rounded to the nearest 1000?\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 + 900*j - 1780 = 0.\nAnswer: 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 3, 4, 43, -268, -5 in descending order.\nAnswer: 43, 7, 5, 4, 3, -5, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n**5\/3 + 5426*n**4 + 168094*n**3\/3 - 72716*n**2 - 10944*n = 0 for n.\nAnswer: -38, -16, -3\/22, 0, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 61 (c) -1\/2 (d) -0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 129 and -224115220103?\nAnswer: 224115220232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/25)\/(i*i**(2\/5)*i*i)*(((i*i**(-1\/5))\/i)\/i)\/i**(-3) assuming i is positive.\nAnswer: i**(-41\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -41. Suppose 10 = -m - 5*y - 10, 0 = 5*m + 5*y + q. Which is the closest to 0? (a) m (b) -1\/5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -19*b**6\/30 + b**5\/60 - b**4\/24 - b**3\/6 - 5*b**2. Let k = -2 - -1. Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 99?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 8 - 2 + (3 - 3 + 2)*(0 - 6 + 5))*(3 - 11 - 47)*(3 - 2 - 3)*(-75 - 25*i + 75) as n + k*i and give k.\nAnswer: 13750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 566960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1648*q**3*z**3 + q**3*z**2 + q**3*z + q**3 + 259*q**2 + q*z**3 + 3*q*z + 1334*z**3 + 3*z**2 wrt z?\nAnswer: -9888*q**3 + 6*q + 8004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 13*p**2 + 24*p - 16. What is the remainder when 10 is divided by i(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.3 (c) 1 (d) -0.03 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/18*1\/(-9))\/(-20*13\/(-6630)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 170*o**2 - 5*o + 1. Let u(v) = v**2 + v - 1. Determine j(r) + 3*u(r).\nAnswer: 173*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -5, -353, 77\/6, 5\/2, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 369220.49 rounded to the nearest one thousand?\nAnswer: 369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.143? (a) 11 (b) 0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d6 - 2?\nAnswer: 2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, -8 - 11 = -s + 3*r. Suppose 4*m - 6 = -2*u, -s*m + 4*u + 10 = 2*u. Let j be 3\/1 + m - -3. What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200586 is divided by 546?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -245.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - n = 4*b + 3, -4*n - 6 = -2*b. Let t = b + 2. Let m(r) = r + 5. Let l be m(-3). Sort t, -5, l in increasing order.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 54*b**2 - 55*b**2 + 12*b**3 as f*b + v*b**3 + i + z*b**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ppvvvppvvpvkv?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*d**2 - 1212*d**2 - 44*d**3 + 686*d**2.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-32))\/(2\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1851 - 1108. Suppose a = r - 1416. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14008517 != 14008514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 175\/22 - (-72)\/(-450)*50\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/85*170\/4*(-88)\/77.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.00976 centimeters in kilometers?\nAnswer: 0.0003200976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 610774 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 32.37 centuries?\nAnswer: 3.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 4745318.\nAnswer: 4745324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -152121943.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -52*y**2 + 789. Let k(h) = -51*h**2 + 2*h + 801. Let f(b) = 2*k(b) - 3*l(b). What is the derivative of f(q) wrt q?\nAnswer: 108*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*5)\/((32600\/(-1956))\/((-8)\/6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2 - 3*d + 4. Suppose -2*q - 12 = 2*y + q, -4*y + 2*q - 8 = 0. Is p(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 + 20. Let u = r - 222. What is the closest to -3\/11 in 0.3, u, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 19260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:29 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/49)\/(3\/7). Suppose 0 = -2*l, -2*w + 4*l + 0*l = 2. Put w, z, -7\/5 in increasing order.\nAnswer: -7\/5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105341 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u + 90. What is g(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*l + 13. Suppose -3*h = -6, -4 = 2*z + h - 20. What is the first derivative of -z*m**3 - 22 + 18*m**l + 13 wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.947 - 1.247. Which is the nearest to -6? (a) d (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 3*x - 23*x - 101.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-2)*253\/(-506).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-983 - -931) + (-3249)\/(-63).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 72\/(-64))*6\/1. What is the nearest to m in 0.04, -2, 2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 14 = r, -3*r = 2*h + 8. Suppose -q + 2*w = -6, 4*q + 1 = 2*w - 5. Let o be (r\/q)\/(21\/280). What is the highest common divisor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585889697.\nAnswer: 29, 20203093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 133. Let r be p(0). Let z = r + -350. Let h be z\/(-77) + 4\/22. Solve h*g + 8 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 7 + -4 + -4. Find the second derivative of -383 + z*b**2 - 7*b - 8*b**3 + 382 + 34*b - 3*b**3 wrt b.\nAnswer: -66*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**15\/c)\/(c\/(c*c**9)))**(-2\/81) assuming c is positive.\nAnswer: c**(-16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/14 and 33\/1436.\nAnswer: 10052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*w**2 - 2*w + 225*w**2 + 235*w**2 - 4*w.\nAnswer: -37*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724143912?\nAnswer: 2, 215517989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 904 = -3*o, 29 + 35 = 8*q. Calculate the highest common divisor of 260 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 118 = -2*r, -4*r + 7 + 9 = 0. What is the smallest common multiple of l and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4292 or 4252?\nAnswer: 4252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2648524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/10)\/((-3)\/15). Let q = 4 + i. What is the units digit of (5\/1 - -2) + q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 + 2*s + 1. Let t be u(-2). Suppose 0 = -175*v + 167 + 518 + 15. Solve -3*c = -t - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*3*-6*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5) + (-28 - -32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -846, -843, -840, -837, -834?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {y: 6, z: 10, p: 1}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - o**2\/2 + 6*o + 12. Let i be s(-6). List the prime factors of 758\/12 - 8\/i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.2. Let w = -15 - -15.7. Let p = w - z. Are 2\/5 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.83, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13787208 and 19080?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 1)*(1 + 2 - 1) - 664 - 375 + 452)*(-2*c + 2*c - 2*c**3) as k*c**2 + j + t*c + u*c**3 and give u.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s = -1. Suppose 5*t = k + 4*t - 1, 5*k + t + 19 = 0. Are s and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-249)\/(-1695) - 8\/40. Let p = -89\/452 + r. Let g be ((-6)\/(-4))\/((-9)\/4). Which is the closest to g? (a) p (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 14112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 183365.4.\nAnswer: -11001.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152756830 or -152756829?\nAnswer: -152756830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735827, 1471504, 2207179, 2942852?\nAnswer: 3678523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 11 = -39. Let w = -9 - g. Suppose -s = -2*s - 4*x + 24, -52 = -4*s - w*x. Calculate the lowest common multiple of 7 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -268 and 2734.59.\nAnswer: -732870.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017, 4088, 9197, 16338, 25505, 36692, 49893, 65102?\nAnswer: 82313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b93a7 + 5?\nAnswer: -1b93a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1789 + -2902. Let x = r - -7030. Let g = -1339 + x. What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = 15*s - 20*s. Suppose m - s = 7. Find the third derivative of m*o**6 - 15*o**2 - 9*o**2 + 2*o**2 - 58*o**6 wrt o.\nAnswer: 4800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 671929831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 226511.\nAnswer: 47\/226511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o**(1\/17)*o)\/o)*(o*o\/(o**3*o)*o)\/o)\/(o**(-1\/3))**(-11\/6) assuming o is positive.\nAnswer: o**(-1123\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u - 0. Let m be (u + 1 + 0)*-2. Suppose 2*c - r = 10, -5*c + m*r + 0*r + 24 = 0. What is the closest to 2\/9 in c, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17416836 to the power of 1\/2, to the nearest integer?\nAnswer: 4173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7 = -24. Suppose 2*r = -5*o + 119, o - x = -0*o + 3*r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -21*i**3 - 9*i**2 + 15*i + 61. Is l(-8) a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s. Let r(u) = -3 + 3 + 17*u - 9*u. Determine r(b(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 152185 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67366319?\nAnswer: 2399, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 667882567174?\nAnswer: -667882567158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26926.29 - 27230. Round k to the nearest integer.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-814)\/(-222) + (-247)\/69. What is the nearest to t in 5, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5887 + 5889. Let x(r) be the first derivative of -7\/3*r**3 - 1\/4*r**4 - 7 + 0*r**g + 4*r + 1\/6*r**6 + 3\/5*r**5. Determine k so that x(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -4. Suppose 0 = q*s + 5 - 11. Suppose p - 9 = -s*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8467 - 8470. Let h = 0.9 + 0.1. Let k(a) = a**2 - 3*a - 6. Let c be k(5). What is the second biggest value in 0.1, c, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**2 + t - 5. Let g be n(5). Suppose -5*v - 55 = -g. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/6 + 4*l**2 - 3*l. Let h be q(4). Solve -b - 2*y = 3*b - 18, 0 = -h*b + 5*y + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70259456, 70259444, 70259434, 70259426, 70259420, 70259416, 70259414?\n\"Answer: g**2 - 15*g + 70259470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8398 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.36946ml in litres?\nAnswer: 0.00536946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/45 + (-6)\/(-10). Suppose 3*s = 4 + 8, -3*d + 3*s = 18. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 - 5192948*s\/3 - 576994\/3.\nAnswer: -2*(s + 288497)*(9*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g + 488. Determine q(34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 2907868*d - 14539365 = 0.\nAnswer: -2907873, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -7. Let s = 6 - a. Suppose s*p = -2*p + 24. Solve p = x + 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184a (base 11) in base 12?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.027, 276, 10, 19, -1\/3.\nAnswer: -1\/3, -0.027, 10, 19, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2512*a + 2*f + 14 = 2514*a, -5*f = 11*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -849, -1942, -3523, -5622, -8269, -11494, -15327?\nAnswer: -19798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -22*u**2 - 16*u - 13. Let o(z) = -21*z**2 - 15*z - 12. Let j(t) = -6*o(t) + 5*w(t). Suppose -28 = 10*m + 12. Is j(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - -28*22\/(-231) and (1 - 0\/1)*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 + -149. Let n be -9*(2 + 10\/15). Let r = -9 - n. What is the remainder when z is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = y + 364, -3*t + 175 + 899 = 3*y. Solve -t = p - 362 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53549247 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -11, 3, -3 in ascending order.\nAnswer: -32, -11, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -15*o**8\/112 - 3*o**4\/8 - 2*o**3\/3 - 2*o**2 - 3. Find the second derivative of z(k) wrt k.\nAnswer: -900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.27, -1\/8, -6, -2\/13.\nAnswer: -6, -2\/13, -1\/8, 0.27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(sqrt(68) + 3) + -3 + -4 + -5)**2 + -1.\nAnswer: 1152*sqrt(17) + 10367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -26.3. Let p = x - -2.3. Let m = 1 - 1. What is the closest to -3 in -2\/5, p, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134671661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:58 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11011121002120?\nAnswer: -11011121002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11 - 5 = 0. Let h = 0 - g. Let o(n) = h*n + 2*n**2 + 3*n**2 - 2*n**3 - 6*n**2 + 3. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x. Suppose x = 4*h - 4*i + 20, -6*i + 1 = h - i. Is 11 a factor of ((-44)\/(-6))\/(h\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43366 divided by -49\nAnswer: -43366\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22414.74 and -15335.5.\nAnswer: 7079.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let o = 3\/157 + 124\/1727. Sort o, l, -0.1 in decreasing order.\nAnswer: l, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1467417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -18*q**3 + 864897*q**2 - 13689333*q - 17148138 = 0.\nAnswer: -7\/6, 17, 48034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314404 (base 5) to base 16.\nAnswer: -296c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6284, -6292, -6302, -6314, -6328, -6344, -6362?\n\"Answer: -l**2 - 5*l - 6278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 6 + (2 + 2 - 2)*(2 + 1 - 1))*(-4*w**3 + 3*w**3 + 0*w**3).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 5*z - 1. Let x be y(-3). Let u be (1\/(6 - 5))\/((-2)\/x). Suppose 11 = -n - 4*i, 5*n + u*i - 2 - 33 = 0. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.6713*-12\nAnswer: -8.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*p - 2*p**2 + 217*p - 628*p.\nAnswer: -2*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/1*(-4)\/(-6). Let v be x\/(-5) + 3\/15. Let s = 7 - 13\/2. Which is the biggest value? (a) -4 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.52464866 + 19.525. Round z to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63315318 divided by -6.\nAnswer: -10552553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110\/3 + -36. Let g = -3 - -3.2. Let u = -2.9 + 3. What is the nearest to f in u, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2. Let r(l) be the second derivative of 2*l**3\/3 + 90*l. Give s(r(t)).\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4671a + 223?\nAnswer: -464a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94858 and 747834.\nAnswer: 32156862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21 = 2*t + 1, -4 = 2*t - 4*m. Suppose t*r - 6 = 3*x + r, x - 5*r = -12. Suppose -x*b - 7 = -154. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 3*x - 3. Let c be k(2). Let a = 4 - c. Solve 0 = m - 5*s + 9 + 9, -a*m = -3*s + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f + 4*f + 249623 - 6*f - 249623.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5 - 1. Let a(q) = -q**2 + 10*q - 5. Let l be a(5). Suppose 0 = -l*f + 16*f. Sort f, 4, m, 2.\nAnswer: m, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8501, -33995, -76485, -135971, -212453?\nAnswer: -305931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -1\/12*r**4 + 0*r**3 + 22*r + 0 + 2*r**2. Factor d(q).\nAnswer: -(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 12*24\/20. Sort -4, l, 1 in decreasing order.\nAnswer: 1, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.45 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386 + 386 - 5*t**3 + t**3 + 5*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 4:29 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6345 and 133\/183354.\nAnswer: 387793710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3883 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1408*o + 477*o - 67860 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -346 (b) 1\/10 (c) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:07 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*y - 780. Suppose y = 23*r - 228. What is the smallest common multiple of r and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(66))\/(-1*sqrt(6)*-5).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 819*u. Let w(s) = -48*s. Calculate i(w(r)).\nAnswer: -39312*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - a + 1 + 2 = 0, -3*a = -2*m + 7. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2157*z**3 + 3*z**2 + z + 9. Suppose 7 = -b - 0. Let l be o(b). Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/((-32)\/112)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 388 = 1268. Suppose -3*n + 4*p - 130 = 0, 7*n + 4*p + a = 3*n. What are the prime factors of (-21)\/(-49) - n\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1887 - -1893. Calculate the greatest common factor of i and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1535134?\nAnswer: 1535135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f = -77*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 224751 = 3*s - 224740, -s - 3 = 2*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 254. Suppose 6*j - 2*t = 10*j - 8, 2 = j - l*t. Calculate the highest common factor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*v**4 + 1927*v**3 + 9*v**2 - 1927*v**3 wrt v?\nAnswer: -480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1668.52 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18035 = 5*c, -16*c - 2*i + 18035 = -11*c. Is c a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + -6 - -4 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154968454 - 154968429.0000156. Let f = y - 25. What is f rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqvkvzvqvqvqvv. What is prob of sequence kk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 915, 1826, 2737, 3648, 4559?\nAnswer: 5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {l: 7, p: 6, r: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1733, 5, -1 in descending order.\nAnswer: 5, -1, -1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 15 = -4*j + 5*w, -9 = 3*w. Suppose 373 - 13 = 61*x - 6. Suppose x*c - j = 25. Sort c, 6, 1, -5 in descending order.\nAnswer: 6, c, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - 361*q**2\/5 + 1746*q - 39168\/5.\nAnswer: -(q - 17)*(q - 6)*(q + 384)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313107 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 172*n + 66*n = -39*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36137055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*l - 115, -l = 2*j + 2*j + 101. Let p be -1 + j\/(-24) - (-2)\/8. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 + 668. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 1596776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7 and (-1 - 3\/(-13))\/2.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84008220.\nAnswer: 2, 3, 5, 17, 82361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 834 and 504292.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41710252 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) + (sqrt(1536) - 2*sqrt(1536)) - 1*(sqrt(216) + sqrt(24)))\/(sqrt(36)\/sqrt(3)*-3*3).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 17. Let a(z) = -7*z**2 + 500. Calculate a(w) - 3*h(w).\nAnswer: -4*w**2 + 551","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 27321?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/300 + 131*h**4\/30 - 35*h**3\/2 - 3986*h**2. Let k(b) = 0. Calculate b.\nAnswer: -525, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6724 + -6280. What is the highest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 350, 1952\/7, -0.1, -5\/2 in increasing order.\nAnswer: -5\/2, -0.1, 1952\/7, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347\/2 - 180. Is -353 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -2\/13 (c) -5\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 15*l**2 + 11*l + 3. Let r(i) = 2*i**2 - 20*i + 18. Suppose 71 = 9*t - 1. Let o be r(t). Is 45 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142402 + 15379669\/108. Let c = f + 43\/108. What is the common denominator of c and -2\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + 1 + 5*(-3)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g)\/g**(-2\/43) assuming g is positive.\nAnswer: g**(-342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*((-5*-3*(-2*sqrt(42) + sqrt(42)))\/(sqrt(6)*-2*3 + sqrt(294)*1))**2.\nAnswer: 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5507\/1156 - 4\/289. Let r be 0 + (1 - (-21510)\/(-21514)). Let v = r + 742217\/86056. What is the common denominator of v and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585362?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9828\/2576 + (-6)\/92.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f**2 - f - 2. Suppose 5*n - 10 = -5*x, x + 3*n - 2 = 10. Let l = -4 - x. List the prime factors of c(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -332*i**2 + 29*i + 7. Let q(l) = -2*l**2 + 2. Let h(m) = -n(m) + q(m). Find the second derivative of h(b) wrt b.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3001546 - 352?\nAnswer: 3001164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:21 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1821 + 1822. Which is greater: -2\/167 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c + 36. Determine f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9102, -8584, -7724, -6528, -5002, -3152?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*c - 19 + 36 = 0, 2*k - 2*c = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 6019703.\nAnswer: 6019706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.246383.\nAnswer: 0.492766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 1\/42*w**7 - 1\/3*w**5 + 0*w - 1\/36*w**6 + 0 + 0*w**3 + 5\/1008*w**8 + 7*w**2 - 5\/9*w**4. Determine o so that f(o) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -76.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Let r(c) = -c**3 + c**2 - c - 8. Let y be r(j). Let h = 13 + y. Solve -3*v + 24 = -4*z - 0*v, -h = -z - 2*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427573919.\nAnswer: 17, 83, 303029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7550 + 7543. Let d(j) = 2*j**3 + 8*j**2 + 2*j**3 - 3*j**3 + 7*j - 9. What is d(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + -3 + 6 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*p)*(3 - 3 - 1)*(0*p**3 + 0*p**3 + 2*p**3).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23022133 (base 4) to base 13\nAnswer: -17a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 - 0 - (-18 - 7 - -24 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - (-56)\/(-42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:33 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 5. Let l = -104 + 107. Suppose 10 = 2*r, -3*g + 5 = -l*r + r. Let x(p) be the first derivative of 11*p**2\/2 - 9*p + 3. Give g*k(b) - 3*x(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 1329 = 8*g. Let u = -153 - g. What is the remainder when u is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*x**4 - 98*x**2 + 2.\nAnswer: 1560*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16. Suppose -x = 5*b - 4*b - 23, -4*x + 2*b + 68 = u. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394177 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 85*p - 182. Suppose 0 = -3*s - 4*t + 290, -4*s + t + 0*t = -355. Calculate the remainder when s is divided by k(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19649833871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 301581, 603164, 904747?\n\"Answer: 301583*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21924645*u - 191261174 wrt u.\nAnswer: -21924645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4c?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2306)\/(-4) + -8*(-6)\/32. Suppose 19*r + 15*r = w. Solve 5*g - 3*z = -28, -4*g + z - r - 4 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 3)*((-219)\/(-45) + -5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.016034 + 0.516034. Suppose 3*y + 28 = 2*y. What is the nearest to y in o, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -15 (b) 0.5 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89714*q**3 - 89714*q**3 + 2067*q**4 + (-4*q**3 + 5*q**3 + 0*q**3)*(1 + 2*q - 1) - 3*q**4 - 2*q**4 + q**4.\nAnswer: 2065*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*c + 8, -3*c + 6 = k - 6*c. List the prime factors of -3 + (2 - -39 - k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9 + 74*c - 21 - 75*c. What is p(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1190 and 29834.\nAnswer: 2535890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y - y)*(-8 + 25 - 67)*(3*y + 0*y - y)*(-7 + 9 + 9) to the form b + z*y + l*y**2 and give l.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18169, 35274, 51285, 66202, 80025, 92754, 104389?\nAnswer: 114930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 9*a**2\/2 - 9*a + 17. What is g(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-7905)\/3978 + 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 3, 239475, -1 in increasing order.\nAnswer: -202, -1, 3, 239475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 - 10*u)*(0*u**2 + u**2 - 3*u**2) + (-4*u + 2*u - 6*u)*(3*u**2 - 2*u**2 + 5*u**2).\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 27 = 2*h + 3*b, 0 = 2*h - 4*b - 54. Suppose -6*n - 69 = -h. Let x(a) = 9 - 4*a + a - a**2 - 3*a. Calculate x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22865019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*c - 6, -2*x + 8 = 21*c - 25*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -2, -0.06, 56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppoppppp. Give prob of sequence ppo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 2. Suppose 63*a = 62*a - 2. Calculate f(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4826*m - 16354*m - 885*m.\nAnswer: -22065*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 43 = -3*d, -2*r + 66 = -2*d + 4*d. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 39*v - 23. Let t(h) = 3*h - 12. Let w be t(6). Does 12 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -0.6 (c) -5324\/305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 - 11*f - 13. Let r be x(-9). Let k be (-8)\/(-10) + r\/25. Solve 5*i - k = 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = 2*x + 8, -1 = 3*x + 2*n. Which is the nearest to x? (a) -2\/33 (b) 0.4 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*o - 291, -5*u - 2*o + 1468 = -5*o. Let f = -583\/2 + u. What is the smallest value in -10, 2\/11, f, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7013, -15278, -24787, -35534, -47513, -60718, -75143, -90782?\n\"Answer: j**3 - 628*j**2 - 6388*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose -y = -z - 2. Calculate the remainder when 7 is divided by (-1)\/(-1 + y\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/4 - 6733*u\/4 + 108355 = 0.\nAnswer: 65, 6668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8*h + 6 = 0. What is the remainder when h + 1 - 24\/(-3) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (34 + 7)\/((-3)\/(-3)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28119299 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202 - 184 - (0 + 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 - 6*m**2 + 0*m**2 - 7*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 4*u - 2. Let k = -1 + 3. Let s be m(k). Let w(a) be the second derivative of -a**4\/12 - 5*a**3\/6 - a**2\/2 - a. Calculate w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16411*j + 1132359. Calculate h(-69).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420748.\nAnswer: 2, 293, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50b88 + -511?\nAnswer: 50677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/45 - -19\/45. Let j(x) be the first derivative of 3 + 0*x**2 + 1\/4*x**4 - a*x**3 + 6*x. Give j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10021954.264948711 + 10021953.12. Let u = v + -23.855050859. Let o = u - -25. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(72) + 3 + sqrt(8))*5)**2 + (sqrt(2) + sqrt(2)*-1*2 + sqrt(2) + -1 + sqrt(18) + sqrt(2))**2 + -5.\nAnswer: 1192*sqrt(2) + 3452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l + 1. Let q(c) = 19*c - 4. Let t(n) = -5*m(n) - q(n). Calculate t(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*c - 140*c = 49791. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddiddiddid. Give prob of picking 3 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (726\/1331)\/(18\/(-1518)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 6*r + 3*r + r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312793 rounded to four decimal places?\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*a + 52, -74 = -3*a - 0*l + 2*l. Calculate the greatest common factor of a and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + (sqrt(468) - (1 + sqrt(468))) + sqrt(468) - sqrt(156)\/(sqrt(24)\/sqrt(2)*-4)) + -1)*-6)**2.\nAnswer: 450*sqrt(13) + 73269\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28179.48 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*v + 86*v - 386*v + 3*v - 74*v.\nAnswer: -943*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -85483*0.1\nAnswer: -8548.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d + 1191321 - 2139709 = 2523991. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f. Suppose 2*x + 48 = -2*x - 4*a, -40 = 5*x + a. Let o(d) = 3*d. Suppose -p + 7 = 5. Let c(u) = u. Let m(j) = p*o(j) + x*c(j). Give m(i(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*p*y**2 - 1515199*p + 46565*y**2 + 7*y - 54 wrt y?\nAnswer: 20*p*y + 93130*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by 2458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052808 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) - (sqrt(208) + -1))) + -4)**2.\nAnswer: -40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v. Suppose v = -3*d - 2*w + 3 + 2, 5*d = -2*w + 15. Suppose -3*y = 2*z - 128, -z = d*y + z - 216. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/(43 - 42).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n - 70. What is g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Find the second derivative of -a**4 + z*a**4 - 2*a - 2*a - 3*a**4 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 48. Let i be w(16). Solve -2*f - 3 - 7 = i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/4 - 9*b**2\/4 + b + 3 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 1\/5, 9, -5, -1904?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66361153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**2*h*h)\/(h*h\/(h*(h**(2\/51)\/h)\/h)))**(-5\/3))**(3\/22))**(-9\/7) assuming h is positive.\nAnswer: h**(780\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33024 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*h + 110*h - 1344 = 0. Is 42 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 11c324?\nAnswer: 11c322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -166, -301, -562, -991, -1630, -2521, -3706?\nAnswer: -5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76, 71, 62, 49, 32?\n\"Answer: -2*s**2 + s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 32. Calculate the greatest common divisor of 126 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -821312.703 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + -46. Let w = h + 54. Let p = -0.1 + -0.9. What is the biggest value in 5, p, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2 + 1 + 1300 + -1306)*14\/(-49).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*b - 114. Let v = -8.215 + 7.715. What is the closest to -2 in v, b, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 >= 1771\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1815*a**2 + 1815*a**2 - 5447*a**2 - 795 + 1816*a**2 as c*a + i + n*a**2 and give i.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3724.12978 + 3724. Let z = -115 + 115.126. Let l = x + z. Round l to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/8 of a hour?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -55, 1, -61, -9, 4, 23.\nAnswer: -61, -55, -9, -5, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 1633 - 776 + 854 - 10*n.\nAnswer: -18*n - 1555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 + n + 7. Let j be s(-8). Let m = j - 70. Suppose -m = -5*o + 14. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 30\/4*52\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 6*o + 4*v = 17, 0 = -o + v - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*g - 20, t - 4*g = -3*t + 32. Let w be (20\/(-105))\/((-4)\/t). Put w, -12, 2, 4 in ascending order.\nAnswer: -12, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/34 and -95\/486.\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 120541?\nAnswer: 120541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128) - (2 + sqrt(128)*-2))**2)*-6*-1 + 4.\nAnswer: -576*sqrt(2) + 6934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173175758 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -825\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 18 + 3*f + 2*f**2 - 3*f + f as h*f + i + v*f**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-6)\/201) + -4. Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1, 0.0636, -0.3, 0, -1\/10, -0.302?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1080\/150 + 8\/10. Let f(y) = y**3 - 8*y**2 + 2*y - 7. Let w be f(s). Let l(k) = k**2 - 8*k - 10. What is l(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1570642 is divided by 936.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3368*b - 5290 = 3138*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26475, -105924, -238341, -423726, -662079?\nAnswer: -953400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from tnhntnghththgtthgtg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 10. Let f be a(-14). Suppose -3*w = -3 + 9. Let g(s) = -2*s**3 - 2*s**2 + 2*s. Let i be g(-2). Sort f, w, i in increasing order.\nAnswer: f, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**22*c*(c**(-22)\/c)\/c assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-25 - -6)) + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4, 24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, 58, -0.5, 3, 57?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20)\/(91\/56)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926013579.\nAnswer: 69401, 70979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.8899427 microseconds?\nAnswer: 0.00000000009131878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 20*m - 13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -4.9. Let z = 0.84 - 0.9. Let d = -0.44 + z. Which is the third biggest value? (a) d (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 37 = -3*k. Suppose -2*i + k = 3*p - 0*p, 2*p - 5*i - 12 = 0. Let g = -15333 + 15377. Calculate the highest common divisor of p and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.28 - 1.28. Let r = 0.17 + -0.59. Let v = r + -0.08. Put v, t, -29 in decreasing order.\nAnswer: t, v, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f + 2*v, v = f - 2*v - 10. Let i be (1\/(-2))\/(2\/(-24)). Let g(r) = 3*r + r + r + i + r**2. Give g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/143 and 10\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260309 = 19*l - 98088. Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 2*b + 8. Let l be (b + 35999)\/(11\/(-110)). What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6275038 to the nearest integer?\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/8 (c) 2 (d) 0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -2*f - 5*a, -5*f + 10*f - 2*a + 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/3*2*10\/(-4). Suppose 7*i = d + 12. List the prime factors of 15\/((-25)\/(-10)*i\/260).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -69*l**5 - 4708*l**3 - 2176*l + 5*l**5 - 1133*l**4 + 2381*l**4 + 240 + 5964*l**2 = 0.\nAnswer: 1\/4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -3\/4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-2)\/(-5))*11416\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11848 (base 9) to base 15.\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -852 (b) 64 (c) 3\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Let j be c(5). What are the prime factors of ((-30)\/(-10))\/(j\/(-44))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*k**3 - 4*a**2*k - 62*a**2 + 131*a*k**5 + 2*k**3 wrt k?\nAnswer: 6*a**2*k + 2620*a*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvvvvmvvmvvvv. Give prob of picking 2 v.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192358, 384966, 577574?\nAnswer: 770182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3164657 less than 13993270?\nAnswer: 17157927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-9\/2))**(10\/7)\/((n*n*n*n**27\/n)\/n*n**(-27)))**(2\/53) assuming n is positive.\nAnswer: n**(96\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 11:26 PM?\nAnswer: 227","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1981 - -2009. Sort -2\/15, -2.6, x in descending order.\nAnswer: x, -2\/15, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 8*u**2 + 17*u - 7. Let v be r(5). Solve 4*h = -7 + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 3*d**2 + 17*d - 187. Let n be m(9). Is n greater than or equal to 938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26253 is divided by 25701?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*n - 3568 = -79*n - 4*m, 5336 = 3*n - 2*m. Is 89 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:19 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-144)*-6 - 8\/(-6). Let u be -2 + 4 - (-1 - 7). Let y be ((-4)\/u)\/(1\/(-20)). Calculate the highest common divisor of a and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5316 + -97.\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 2, 16, 5 in decreasing order.\nAnswer: 16, 5, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39588739*l - 39588662*l - 1 + 1.\nAnswer: 77*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 39*a**2 - 3440*a + 271. Determine c(88).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34250 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4992\/271 (b) -536 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*t - 92856 + 111945 = 0 for t.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -423736.3618 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36740?\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 362*z**3 - 11*z**2 + 156*z - 516. What is the hundreds digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-215424)\/(-2374)) + (-2)\/9. Let t = u + -1\/272. Which is the biggest value? (a) 0.08 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/51? (a) 0 (b) 2\/3 (c) -3\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.16 + -6.86. Put 0.4, -3\/7, s, -1.5 in ascending order.\nAnswer: -1.5, -3\/7, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 277*c - 1885. What is d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9101 less than -5131834?\nAnswer: -5140935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64209 - -64208.6. Let a = 9 - 18. What is the second biggest value in g, -0.5, 5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654000401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5765 + -3551. Calculate the remainder when u is divided by 547.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1\/4. Are k and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. What is the nearest to -1\/3 in p, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115318 is divided by 992?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 2*p + 2. Let f be o(1). Let l be 1\/f - 65\/(-39). Suppose -4 = 3*g - 7. Which is the nearest to g? (a) l (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 193. Suppose -4*u + 5*w = -s, 2*w - 12 - 138 = -4*u. Suppose 4*y - u = 121. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 271\/5?\nAnswer: 271\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*b + 147, 30*b + 104 = 5*a - 41 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 39*r**2 + 6*r - 11. Let m be t(2). Find the third derivative of m*b**4 - 458*b**4 + 186*b**4 + b**3 + 160*b**4 + 132*b**2 wrt b.\nAnswer: 1080*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-12)*c*c\/c**(-11) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/204 and -80\/39.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 26*t**2 - 49*t + 16. Give m(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/21)\/(-5 + 0 + 1334\/261)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 3*i + 11*i - 13*i in the form h*i + g + k*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**4 - 58851*x**3 + 795303*x**2 - 2740218*x + 1178640 = 0. Calculate x.\nAnswer: -9822, 1\/2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 70.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -30*c + 7806. Determine o(43).\nAnswer: 6516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-351)\/162 + 2 + (-2)\/4)*84. Let p = -1.1 - -1. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2988 and 131\/4482.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 2, a: 8, y: 3}. What is prob of sequence ai?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006964 rounded to five decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-3136) - 1\/(-4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4929 greater than -4969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4546098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 18 = m. Suppose 43 = -2*j + 2*h + h, 5*j + 45 = -5*h. Let v be j\/(-63) - 32\/m. Solve -10 = -v*x - c, 0 = -x + 3*c - c + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f + 135*f - 43*f = 1453228. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2667\/5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854711?\nAnswer: 3, 73, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:38 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*8\/1 - 8\/4. Let q(x) = x. Let p be q(1). Suppose -8*m - 129 + 89 = 0. Put k, p, m, 4 in decreasing order.\nAnswer: 4, p, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - z + 1 - 2*z + 1.\nAnswer: -3*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446798?\nAnswer: 2, 11, 23, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:01 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 1589, 3769, 6809, 10703?\nAnswer: 15445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(1 - 1 + y) + 2*y - 6*y + 3*y + (-5 + 5 - 3)*(0*y + 5*y - 2*y))*(-3*y + 4*y + 0*y) to g*y + x + j*y**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 2331 = 2229. What is the highest common factor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(272))**2 + (-2 + sqrt(17))*4 + -4.\nAnswer: 4*sqrt(17) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 140 = -7*p. Let x = -14 + 7. Let n be (x\/p)\/(1\/6). Which is bigger: n or 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-4*(-153)\/(-72)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6449146 and 22?\nAnswer: 6449146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/101000 and -61\/135000?\nAnswer: 13635000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -50*f. Let h(y) = 799*y. Let g = -13698 - -13695. Give g*h(m) - 47*o(m).\nAnswer: -47*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 85 - 6 - 23 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.594 - -0.006. Let g = c + -0.578. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/3*f**2 - 2\/9*f**3 - 9 + 0*f. Suppose b(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5248 - -5248.4. Which is the third biggest value? (a) z (b) 150\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 16 + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 - -308. What is the remainder when g is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(-30)\/(-9)*-3. Factor 5 - 22*c**4 - 2*c - l + 5*c**2 - 4*c**3 + 23*c**4.\nAnswer: c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 32*l**2 - 3*l + 6. Let r be i(8). Suppose -2*p = 2*p - 12. Suppose -r = -4*z + p*z. What is z rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 0, 3*a + 5*b + 41 = 103. Suppose 17 + 7 = -4*p - 2*l, -4*p - a = 5*l. Let z = -6 - p. Solve -4*y = -z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35150 and 380760?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114703729 and 2198?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 1, n: 1, i: 6, j: 2, k: 7}. Give prob of sequence ka.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 18. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069658524 to the power of 1\/3, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 5870095.\nAnswer: 64571045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 385*l**2 + 2998*l + 6781. Give q(377).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5\/3 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.81421 to two decimal places.\nAnswer: -16.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1070 = 2*y. Let w be (273 - 11)*(-1)\/2. Let k = w - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38757420 divided by 3510\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-44)\/10*-5*14\/(-84).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.29 - 0.29. Let q = l + -6. Let r = 15.1 - q. What is the nearest to 1 in r, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-2 - (-12)\/5) + 14. Let y = 6 + k. What is the derivative of 4 - y*z**2 - 23 + 17*z**2 wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)\/q)**(8\/3) assuming q is positive.\nAnswer: q**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 21 = -5*o, 4 = 3*o - c - 9. Solve 5*a = 5*p + 40, 7*a + 5 = -o*p + 2*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*j + 11*j = 8*j + 6*t - t + 129, 0 = -2*t - 60 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 24*k - 536 = 0. Let h = k + -89. Suppose -10*f + 235 = h. Is 18 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191911884 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + (sqrt(80) - (0 + sqrt(80))) + sqrt(5) + sqrt(45) + 5 + 3 - (sqrt(45)*-4 + -2*sqrt(45))))**2 + -3.\nAnswer: 1472*sqrt(5) + 10833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-4)\/(-3). Let j be -2 - (-5)\/((-10)\/(-4)). What is the second derivative of 2*n + j*n**2 - y*n**2 - n wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20*j**2 + 16*j - 18. Let z(h) = 7*h**2 - 5*h + 6. Let u(q) = -q**2 + 11. Let v be u(0). Let t(p) = v*z(p) + 4*m(p). Factor t(a).\nAnswer: -3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142083?\nAnswer: 3, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -r - 174, -6*n + 7*n = 4*r - 96. Which is greater: n or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9392000 divided by -5.\nAnswer: 1878400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1009.463 - 2.463. Let k = h + -1004.876. Round k to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/8)*z*z)\/z)\/z)**(-2\/13)*((z**6*z)\/z)**(4\/31) assuming z is positive.\nAnswer: z**(1093\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.793327591 to two decimal places.\nAnswer: 17.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1076, 2149, 3222, 4295, 5368?\n\"Answer: 1073*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*a - 2547 = -2*k, -1534 = -3*k + 4*a. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + k + 2. Let q(m) = -17*m**3 - 26*m**2 - 6*m - 12. Let u(b) = 6*o(b) + q(b). What is the third derivative of u(s) wrt s?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 51 = -2*j, j - 8 + 0 = 2*k. Let t be (3\/(-9))\/((-2)\/j). Solve 15 = t*r + 5*g, 4*r - g + 3 = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.73 + -0.27. Which is the closest to 0? (a) v (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-2))\/((-8)\/(-2464)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36331 is divided by 8730?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y. Let j = -63 - -27. Let b be -4*((-105)\/j - 3). Do y and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 20.3. Let d = 0.3 - m. Let c = 2 + d. Round c to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1045004583.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**3 - 20*a**2 + 110*a - 90. Let t(y) = -3*y**3 + 13*y**2 - 73*y + 60. Let z(f) = 5*o(f) + 7*t(f). List the prime factors of z(-15).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s - 12. Let x be 47\/15 + s\/(-45). Find the second derivative of 4*g - 4*g**x + 0*g**3 - 3*g wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 9, -1.32, -2\/11?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526447, -1052907, -1579365, -2105821, -2632275?\nAnswer: -3158727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**4 + 273*w**3 + 22*w**2 + 2*w. Let z(k) = 6*k**4 - 1359*k**3 - 121*k**2 - 11*k. Let s(g) = -11*c(g) - 2*z(g). Suppose s(h) = 0. Calculate h.\nAnswer: -285, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2293 = 787. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from vvvvvvvggvgv.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-231)*6\/(-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 297500 divided by 148750\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24120 and 199\/6600?\nAnswer: 1326600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 407383668.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 260? (a) -0.04 (b) 0.4 (c) 2 (d) -493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102312320 + -22?\nAnswer: 102312232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 90*q**2 - 9*q**2 + 70*q**2.\nAnswer: 142*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*z + 5*j, 2*j + 5 = 3*z + 1. Let r be 10\/(-15) + z + (-10)\/(-6). Let m be (r + -979)*15\/(-10). Round m to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616891 is divided by 132?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (23 - 14) + 32\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*g - g. Suppose s + g = 2*v, 2*s - 4*s = 4*v - 62. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7102*a**6 - 8355*a**2 wrt a.\nAnswer: -852240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 4, i: 6, t: 1}. What is prob of picking 1 e, 1 q, and 1 i?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 - 38*g**2 - 36*g = 0.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -994*a*o**2 - 233*a*o + 9*a wrt o.\nAnswer: -1988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -81 times -4842\nAnswer: 392202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91458 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1023 to 3 decimal places.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + l + 5 = 0, 0*n + l = 5*n - 5. Let x be n\/(2*2\/(-4)). Let o(h) = h**2 + 2*h + 20. Is 10 a factor of o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/72 and 113\/282.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(-4)\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(-1\/25)*x)\/x)\/(x**(-7)*x)*x*x**24\/x*x*(x\/x**(-24))\/x assuming x is positive.\nAnswer: x**(1424\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35041 (base 8) to base 2.\nAnswer: 11101000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**6\/2 + 12*h**5\/5 + 3*h**4 - 2*h**3 - 15*h**2\/2 - 6*h - 105. Factor t(x).\nAnswer: 3*(x - 1)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 - 2*o - 30. What is c(-4)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 96 = 68 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 973*s + 3. Let g(z) = 3893*z + 9. Let r(u) = 4*a(u) - g(u). Let d = 4 - 3. Let t be 0 - (-1 + d) - 5. Determine r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3612*q - 216 = 3588*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 48 = 0. Suppose -1 - 4 = -j. What is the derivative of 38*x - j - 20*x - y*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.92 from -2.73762961722.\nAnswer: -5.65762961722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5215.25l?\nAnswer: 5215250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501541.502505 - -265.\nAnswer: 501806.502505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-8)\/20. Let l = 2.01 + -0.01. Which is the third smallest value? (a) l (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 13*n - 38. Suppose 2*q = 6, -3*b + 3*q + 10 = -17. What is the tens digit of s(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -120 (c) -2\/59529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 229*k + 281. Let g be v(-43). Which is the smallest value? (a) g (b) -4 (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 1:50 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -346*k - 1. Let h be r(-2). Suppose 1402 = 2*a + 2*b, -2*a + 3*a - 4*b - h = 0. Let z = a + 62. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*161.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n + 20. Solve 0 = -k + 5*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 190, 0 in decreasing order.\nAnswer: 190, 108, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-14))\/((-4)\/14)*4\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let g(d) = d**2 + d - 1. Let u = 5 + -6. Let i(m) = -5*m**2 - 2*m + 2. Give l*g(x) + u*i(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 8. Let i(n) = -3*n + 10. Let r(g) = 3*i(g) - 4*q(g). Let a(f) be the third derivative of -f**4\/12 - f**3\/2 + 2*f**2. What is -5*a(s) + 8*r(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137744641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -2*w + 339. Suppose 2*d + 220 = 4*a, 3*a - 164 - w = 5*d. Let j = 8 - d. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 3*h**3 - h**3)*(-3*h + 2*h - h) + 8324*h - 8324*h - 105*h**4.\nAnswer: -113*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by ((-6)\/(-2))\/(21\/(-2))*-686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 47, 103, 181, 281?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - -1. Let s = -18 + c. Let y = s - 18. Solve -3*r + y = -g, 3*g + 0*g + 4*r - 26 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.941 - 0.059. Let t = p - -44.8. Let j = 0.20000096 + t. What is j rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let t(d) = 516*d. Calculate v(t(b)).\nAnswer: -1032*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 13. Let f be i(3). Suppose -156 = -f*d - 66. What is the second derivative of 24*c - 14*c**4 + d*c**3 - 9*c**3 + 4*c**4 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.79, -0.008, 3 in decreasing order.\nAnswer: 3, 0.79, -0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5490836 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 3751?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1355 + 347 + 341 + 346 + 341 - 33*n**2.\nAnswer: -33*n**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1705415?\nAnswer: 1705411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -338*o**5 - 780156*o**4 - 587861458*o**3 - 143527891976*o**2 - 22070780160*o - 848742400 = 0?\nAnswer: -880, -548, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = 2*b. Let f(a) be the first derivative of -5\/2*a**b - a - 1. Determine f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 12) to base 7\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3746 = -s + 6493. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1027964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -37148093?\nAnswer: -33433283.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9908088 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -299*z - 33*z + 1 - 8. Suppose -13*x + 71*x = -174. Is j(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(6)\/sqrt(3) + -1 + (sqrt(22) - (sqrt(264) + -2*sqrt(264))\/sqrt(12))\/((sqrt(44) - (sqrt(44) - 2*sqrt(44))) + sqrt(11)).\nAnswer: -23*sqrt(2)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39987 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 12) in base 3?\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*w + 2, 4*w + 8 + 4 = -4*o. Let t = o + 4. Let c = 28 - 17. Calculate the smallest common multiple of t and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - (5\/4 - (-1190)\/(-140)). Is -0.0254 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.28 and -0.1?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:57 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5850 and 18.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35458411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/3 + 23*f**3\/3 - 10*f**2 - f\/3 + 10\/3 = 0.\nAnswer: -1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8.1*-0.01346\nAnswer: 0.109026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81920 and 1152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*v = -364376004, -15*j + 3*v + 364375994 = -11*j. What is j rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2 in descending order.\nAnswer: 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 793*b*k**2 + 12172*b*k + 2*k**2 wrt k?\nAnswer: 1586*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -436*t + 426*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.824 millennia to centuries.\nAnswer: 6128.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*x + 14 = 0, 4*z - x + 1 = 2*x. Suppose 2*t - 3 = 5. Suppose -3*l + 0*l - t*c = 9, 4*l + 11 = -5*c. Sort -4, z, l in increasing order.\nAnswer: -4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {b: 6, n: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -25. Which is the closest to z? (a) -1\/3 (b) -0.2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3759, -3898, -4049, -4212?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*j + 14 = 340*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, k: 6, r: 2}. What is prob of sequence kkxk?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2210 and 53430?\nAnswer: 908310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, j: 5, w: 7}. Give prob of picking 2 t.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/174463 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.235 - -4.29777. What is y rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) 1 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-1260)\/1560)\/((9\/(-1))\/3*-4)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 + 2*t - 102 - 101.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**2 - 40*v + 5. Let p be j(3). Sort -24, p, -5, 4.\nAnswer: -24, -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12889.11 - 13055. Let u = i + 168. What is u rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 11*h**2 + 123*h - 17. Let p be y(-7). Let i(r) be the third derivative of 0*r**3 + 0*r**p + 11*r**2 + 0 - 1\/90*r**5 + 0*r. Factor i(t).\nAnswer: -2*t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.327 + -0.272. Let z = o - -0.63. Let n = z - 0.0309982. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4513 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1854971 (base 14) to base 11\nAnswer: -6881680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/12)\/((-2)\/(-168)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:57 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 7*h - 9. Let n be w(4). Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(209) + sqrt(209) + -1*(sqrt(209) + -1*sqrt(209)) - sqrt(209))\/(2*sqrt(396))*-3.\nAnswer: -sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -44082.97.\nAnswer: -44082.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -35*t + 31. Let o(a) = -86*a + 78. Let z(i) = -12*m(i) + 5*o(i). What is the first derivative of z(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -487 + 466.7. Let d = -20 - f. What is the nearest to 2 in -0.01, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 i, and 1 e when four letters picked without replacement from eiyyiliinlnyyenlnenn.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -151\nAnswer: -25\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3000 and 168.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 + 2)\/(-2))\/(11 - 12). Solve -3*k = -v + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 2, b: 3, a: 4, o: 1}. Give prob of sequence ba.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Let h(d) = -d**2 + 8*d - 11. What is the units digit of h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4507802 centuries?\nAnswer: 4.507802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 2786*g**2 + 82736*g + 154336 = 0. What is g?\nAnswer: -2756, -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 0*m**5 + 0*m**2 + 48 - 5\/7*m**7 - 1\/4*m**4 + 0*m**6 + 0*m - 56\/3*m**3. Find the third derivative of z(v) wrt v.\nAnswer: -600*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in 2\/3, 8, -1, 2\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -71*j + 13. Let o(f) = 36*f - 7. Determine 11*o(l) + 6*z(l).\nAnswer: -30*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1287254 rounded to three decimal places?\nAnswer: 11.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -333 + 13*h + 333 - 2*h + 2*h - h - h - 5*h + 5*h + 2*h + 2*h - 3*h + (-4 + 0 + 2)*(h + 4*h - 3*h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*r - 2917 = -395*r + 2011. Solve r*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000011001 (base 2) in base 12?\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75742*q**2*v**3 + 2*q**2*v**2 - 14*q*v**4 + 2*q*v**2 + 332165*q - v**2 wrt v?\nAnswer: -454452*q**2 - 336*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5*t - 8*t)*(1 + 0 + 1) + t + 0*t - 2*t + (-t - 2*t + t)*(-2 + 5 - 2).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 17*s - 1224 = -134*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 8, 2, -17 in decreasing order.\nAnswer: 8, 7, 2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(108\/32)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 11:41 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-107)\/(-65) + (-13)\/(-1690)*26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 4*v**2 + 10*v - 3. Let l be w(7). Sort l, 1, -5.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**4 + 1 - 1 + (-1 - 1 + 0)*(-7*v**4 + 13*v**4 - 10*v**4) + (3*v**3 - v**3 + 0*v**3)*(-3 + 3 - v).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-15))\/(266106\/(-16632) + 16)*5 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from akujrkau.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160556 is divided by 80274.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 433236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1 - -1) + (-7 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.2. Let j = -0.4 + m. Let u = j + 1.2. Which is the closest to u? (a) 4\/5 (b) 1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 272 = 5*h - 789, 0 = h - 4*g - 221. Suppose 4*a - h = 1663. What are the prime factors of a?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269 is divided by 68?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {i: 8, e: 6, n: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 58 + 20 = 0. Let u = d + 6. Suppose -3*m + 12 = 0, 4*p - 92 = 2*p - 4*m. What is the highest common factor of u and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + s - 578 = 0, -3*w - w = 5*s - 454. Let z = 124 - w. Calculate the highest common divisor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 0.2 (c) 0.1 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 199, 123, -170 in decreasing order.\nAnswer: 199, 123, 1, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1331) + 0 + sqrt(1331) + (0 + sqrt(1331))**2 + sqrt(1331))*6 + -2 + -4*6*sqrt(1331).\nAnswer: -66*sqrt(11) + 7983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 - -304.4. Let z = 0.5 + -0.9. Let i = r + z. What is the closest to -0.1 in 2\/7, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*8*(-4 + 27\/6). Let x = -77 + 69. Let v(i) = 2*i + 40. Let h be v(x). What is the greatest common factor of h and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25518763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-2)*18\/(-360)*12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011001111111000101110110 - -101?\nAnswer: 111011001111111000101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*3\/(-16)*(-24)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-38) + 116\/19 + 3. Is (0 - -4570) + (-9 - -21 - r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/3 and 11\/233592.\nAnswer: 233592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 + 9*f - 27. What is l(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((27 + (-47794)\/1771)*7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36686 and 0.1.\nAnswer: -36685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 18 = -4*q, 0 = 2*q + 3*q + 2*v - 34. Suppose i - 2*g + q - 17 = 0, -4*i - 4*g - 16 = 0. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -80040\nAnswer: 5602.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9165, -18730, -29087, -40632, -53761, -68870, -86355, -106612?\nAnswer: -130037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-196)\/(-8))\/(-7))\/((-1)\/4). Solve -6 = 5*r + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-12))\/((-6)\/(-24)). Let w(k) = k**3 + 23*k**2 + 21*k - 16. Let q be w(-22). Solve 9 = s*v, 4*x - 3*v = -q*v + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4852 - 1739 = -55*j + 25443. Calculate the least common multiple of 20 and j.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h - 2. Let z be (-1)\/(-2)*(3 - 3). Let k be (-10)\/2 - z - -3. What is the units digit of a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from yayyaayaayypyaaaap?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = -2*h - 2*p, -2*h - 2*p = 3*h - 2341. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217145 - 4363165.\nAnswer: -4580310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*k = 368*k - 44282. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 - -100 - (91 + (0 + (-7 - 0) - -7))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 323.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 1988 = -1960 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 19*m - 112, -3*l + 3*m + 30 = -7 - 29 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u - 1. Let w(l) = l**3 + 9*l**2 + l + 13. Let h be w(-9). Suppose h*k + 14 = 2*q, 5*k = q - 1 - 6. Suppose -3*y = -q*y - 4. Calculate z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 + h**3\/6 - h**2\/2 - 2*h - 203. Let q(z) = z**3 + 2*z**2 + 4*z + 3. Determine q(j) - 3*y(j).\nAnswer: j**3 - j**2 + j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1933*w**3 + 187*w**2 + 1 wrt w?\nAnswer: -11598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzzz when four letters picked without replacement from zzzzzzzzddzzzzzzzz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -v - 3, 0 = 4*l - 3*v + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54744065083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2. Let g(h) be the second derivative of h**4\/12 + h**3\/6 + h**2\/2 - 57*h. Let o(b) = -b - 1. Let k(j) = -3*g(j) - 3*o(j). Calculate k(c(q)).\nAnswer: -300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151 - (-48 + 115) - -10?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -52. Suppose 0*d + 5*n - 43 = -4*d, -3*n - 32 = -d. Solve d = -5*l - u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*z**4 + 149 wrt z.\nAnswer: 244*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -163\/5 < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600319071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n**2 + 6845*a*n + 23*a - 156705*n**2 - n wrt n?\nAnswer: -4*a - 313410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1447050\/101 + -3090492679\/215736. Let o = 2\/267 - l. Let k be 4\/(-10) + (-78)\/30. Is o < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 18*u + 2. Let m be w(18). Let k be 3\/(-2)*(-10)\/3. Suppose -18 - 7 = k*x. Sort m, x, -1.\nAnswer: x, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7274 is divided by 54?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 25, 8 in increasing order.\nAnswer: 8, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {h: 4, e: 3, r: 2, t: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 + 0*x**3 - 4*x**3)*(4 + 5 - 4) + (4 + x**2 - 4)*(2 + 2*x - 2).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 3*a + 166, 5*s - 4*a = 207. Let l = s - 14. Suppose d - l - 21 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4 = -4*g, 4*g + 10 = 259*l - 258*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = n - 11604, 7*n + p - 58104 = 2*n. What is n rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11 - 2*f - f - f + 2*f. Let i be w(-6). Put 4, 5, i in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:41 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 0*w**2 - w**2 + 5*w**2 + 4*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b*n*p - 11*b*p - 7*n*p - p + 3 wrt n.\nAnswer: -5*b*p - 7*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + (1252\/20)\/(-1). Let x = 53 + p. Is 2 - x\/(-3 - -4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let p = 17 - 17. What is the biggest value in p, -0.6, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75817548 to the power of 1\/2, to the nearest integer?\nAnswer: 8707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 o when four letters picked without replacement from {q: 2, t: 2, o: 2, n: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 + 362 + 2*q - 362.\nAnswer: 28*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*i - 80 - 127 = 65. Find v, given that -6\/7*v**4 - 4\/7*v**3 - 2\/7*v**5 + 2\/7 + 6\/7*v + 4\/7*v**i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 20. Let b be j*((-16)\/(-12) - 2). Suppose 4*l + 108 = 2*z, b*l - 2*l - 284 = -5*z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let x be c(-1). What is the remainder when (4*37)\/((-56)\/(-24) - 1) is divided by 3 + -2 + (26 - x)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2 + 3*s - 2. Let k be (57\/24 + (-12)\/32)\/2. Let v(j) = j**2 - j. Give k*a(g) + 3*v(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -612 - -585. Let x = 202 + -223. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/(-4) - 1\/(-2). Let a = 11 + r. Suppose -5*b + b = a. Solve -2 = -y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, -5\/4, 2, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -5498975.\nAnswer: -5498975, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/30 - 213*l**5\/10 + 731*l**2\/2 - 325*l. Differentiate s(c) wrt c.\nAnswer: 4*c**3 - 1278*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321514 <= -321534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1603 = -5*g + 2*p, 5*p + 0*p - 618 = -2*g. What is the highest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/21*12635\/570.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4, 0 = 5*l - 11*g + 9*g + 1. Let c(m) = 16*m + 17*m - 34*m. Let f(o) = -5*o**2 - 4*o. Give l*f(h) + 4*c(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 275243.4mm?\nAnswer: 275.2434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2070 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1031 divided by -1.\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 divided by -3?\nAnswer: -631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -713 - -715. Solve 3*x + 6 = 4*x + 5*s, 5*x + t*s - 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92.5 + -92.2. Which is the second biggest value? (a) -19 (b) y (c) 23 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*f = -296*f - 133 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, -2, 4, 1 in descending order.\nAnswer: 238, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -4\/3, 51.178, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23331344 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q + 3. Let a be h(-2). Sort 8, a, 5.\nAnswer: a, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cglluluuuvcvcdu. What is prob of sequence gcuc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99257824793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3127440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2 - (-26)\/14). Suppose 7 = -3*q - p, -q + 0*p - c = 5*p. Let s = 10 + -11. What is the closest to s in -1, q, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061 is divided by 816.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2310 + -20?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z**2 + 2*z + 1. Suppose -114 = -36*c + 38*c. Let m = 42 + c. Let t(g) = g + 19. Let d be t(m). Give l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 198545548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/71162 and 43\/99586136.\nAnswer: 697102952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352080 and 9003468.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5200674 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114082, 114077, 114072, 114067?\nAnswer: 114062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose -6 = 3*v - z. Let n be (-460)\/(-75) + v\/15. Solve -3*u = 4*q - n - 3, -3*q - u = -8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 - 423*v**2 + 653*v wrt v?\nAnswer: 12*v**2 - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 9*f - 12. Let w be -42*((-3)\/(-6) - 1). Suppose 2*r - 41 = -w. Calculate h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-80)\/(-40)*13\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 14. What is the remainder when q(5) is divided by ((-3)\/12 + (-240)\/64)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.602221 grams to micrograms.\nAnswer: 2602221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26479305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/3 + 4. Let d(u) = 11*u + 22. Let c be d(-6). Let s = c - -39. What is the nearest to 5 in h, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1370915 and 24150?\nAnswer: 41127450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4960)\/(-56) + 2)\/(20\/(-70)). Which is greater: -312 or c?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minus -0.13193?\nAnswer: 27.13193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*282\/(-27) - (-340 + 337)\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -7*c + 110. What is the least common multiple of 8 and 8\/c - (-408)\/60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 3*i)*(0*i + 12*i + 0*i)*(2*i + i - 2*i).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - 3 - -2 - (9 + -3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 5, a: 2, f: 2, v: 1, w: 2}. What is prob of sequence wlws?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337.471 - -0.471. Let q = -337.00307 - m. Round q to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1481*u + 1226*u - 3079*u)*(-3 + 3 - 1)*(-1 - 3 + 5).\nAnswer: 372*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {k: 12, w: 7}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 746635*u**2 + 27951794200*u - 5864634609020.\nAnswer: 5*(u - 74558)**2*(u - 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.54 + 0.6. Let t = -0.02 - f. Let c = -0.08000009 - t. What is c rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -394, -397, -400, -403?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 29*g**2 + 5304*g - 166663. Calculate v(32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13666 (base 13) in base 4?\nAnswer: 20312122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1004*y**2 + 977*y - 977*y as t*y + d*y**2 + g and give d.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12362?\nAnswer: 2, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -200. Suppose c = 4*g + 76. Let d be g\/(-3)*(2 - 2). Solve d = -3*q - 2*q + w - 6, 0 = -q - 5*w + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**3*t**3 - 3*j**3*t - 16*j**3 + 13312*j**2*t**2 - j*t - 8*j + t**3 wrt t?\nAnswer: 18*j**3*t + 26624*j**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 97*c - 8442. Let l be u(-47). Let s = -1 - -12. Calculate the greatest common factor of s and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209394422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -12859355.\nAnswer: -12859355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4451580 is divided by 533.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*l = -3, -2 = 4*j - 5*l + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 79. Calculate the least common multiple of y and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f + 5*y + 5, 0 = 4*y + 16. Suppose -4*i - i - 2*d + 23 = 0, i + 2*d - 11 = f. Solve 5*u = -i*p - 7, 0 = 2*u + 2*p - 2 + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let t = 656 + -510. Let h = -146.2 + t. Which is the closest to 0.6? (a) -1 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 22. Let b(s) = -13*s - 45. Let k(q) = -3*b(q) + 7*u(q). Let p be k(-11). Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 17*z. Let p(i) be the first derivative of -81*i**2 + 2107. Let f(x) = -6*x**2 + 2*x - 1. Let b be f(1). Calculate b*p(j) - 48*u(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 (base 13) in base 14?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 4*o - 3*s + 92, 5*o - 4*s = -151. Let z = o + 23. Let l be (z - -4)\/(-4 - -2). Solve -2*n + 12 - 2 = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 8*d**2 + 3*d + 31. Let o be v(-8). Let t be (o - 1)\/(9\/6). Let q(y) = 2*y**2 + 5*y - 6. What is the remainder when q(t) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*((-8)\/(-4))\/(-6). Let j(b) = -11 - p*b - b + b**2 + 0*b - b. Let m be j(7). What is the smallest value in m, -1\/3, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.2 take away 43642531.97?\nAnswer: -43642569.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) -451.5 (c) -2\/9 (d) -1\/6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44197 = 2*c - 3*f + 2*f, 44182 = 2*c + 4*f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - (0 - -5)) - (-223 - -214)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3851619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 17, l: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 41720.\nAnswer: 333760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/40*5)\/((-5)\/(10\/1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4.8. Let q = -0.19956 + x. Round q to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/14 - 11\/21. Let r(g) = 1. Let d(n) = -n - 2. Let x(k) = -d(k) - 3*r(k). Let q be x(5). What is the second biggest value in q, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 greater than or equal to -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 67.\nAnswer: 54\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19051353?\nAnswer: 3, 2116817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*c\/c**(-2\/17)*c*c\/(c\/(c*c**13)))**2 assuming c is positive.\nAnswer: c**(684\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:10 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*f*q**2 - 2*c*f*q - 2*c*f - 775*c*q**2 - 1691*c*q - f*q**2 + f*q wrt q.\nAnswer: 4*c*f - 1550*c - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -770980 rounded to the nearest 1000?\nAnswer: -771000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -7391?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(25)\/sqrt(45) + 1 - (sqrt(50)\/sqrt(90)*4)**2.\nAnswer: -71\/9 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-286)\/88 + (-2)\/(-8). Let g be (2 + 3 + l)*(-1)\/(-1). Let u(r) = -r**2 - 4*r - 4. Let h(d) = -5*d - 5. What is g*h(p) - 3*u(p)?\nAnswer: 3*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:43 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6026, 0, 5 in ascending order.\nAnswer: 0, 5, 6026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122703519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bef + -5?\nAnswer: -bf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 8*n**2 + 4*n - 2. Let q be k(-5). Let y = 208 + q. Solve y = -2*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-41 - -43)*5*(-2 + 3). Suppose -639 = b - o*b. Calculate the lowest common multiple of b and 11.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*60\/55. Let w = y - -117\/176. Suppose -2*b = -5*b. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1298*d**5\/5 - d**4\/4 - 1459*d**3\/3 + 96. Find the third derivative of h(t) wrt t.\nAnswer: -31152*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343)*-1 + sqrt(343)) + sqrt(343) - (sqrt(343) + (-1 + sqrt(343) - sqrt(343))*-5))**2 + -2*sqrt(343) + 0 + -6*(2*sqrt(343))**2.\nAnswer: -8207 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4. Suppose -549 = -37*c - 24 - 44. Calculate the remainder when d\/((1 - 2)\/25) is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let r be (2\/3)\/(5\/15). Let s be 1\/(2 + (-3)\/r). Let b(y) = -3*y - s*y + 5*y - 4*y**2. Calculate t(b(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7741*d + 69669. What is k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, -891, -2411, -4551, -7317, -10715, -14751, -19431?\n\"Answer: -o**3 - 301*o**2 + 4*o + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 118*q**2 + 3*q + 465. Give c(-118).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 10. Suppose -h*g - 4 = -14. Calculate the least common multiple of g and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9, -4*y + 125 = y + 5*x. Suppose 0 = -y*o - 113 + 25. Are o and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 319*l + 8677. What is z(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p*s**2 - 7*p*w**2 + p*w + s**3*w + 62*s**2*w**2 - 72*w**2 wrt s?\nAnswer: -8*p*s + 3*s**2*w + 124*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(10 - 10 + 3*a**2)*(a**3 - 2*a**3 - 2*a**3).\nAnswer: -45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 5, 2\/9, 69, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 204, -5?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 57 = 27. Suppose -4*s - 1 = -c. Suppose s*v + 5 = 45. Calculate the least common multiple of 10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*x**2 - 812*x**2 + 410*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 3. Let k be p(7). Let g = -1 - k. Suppose 18 = -0*v + g*v. 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 the third smallest value in 247, -1, -1\/7?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6068.72 rounded to the nearest ten?\nAnswer: -6070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2ba9b9 (base 12) to base 5\nAnswer: -142310402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35079002?\nAnswer: 2, 7, 23, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2) - -5)\/1. Let a(f) = -f**3 - 3*f**2 - f - 3. Let p be a(-3). Solve p = -z*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2883*p**2 + 1116*p + 108.\nAnswer: 3*(31*p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33812434 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*i + 9 = -6, 3*d + 14 = 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -173.\nAnswer: -5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.064 + -56. Let w = z - 0.061. Let h = w - -0.097. Which is greater: -0.34 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7083 and 210546897?\nAnswer: 631640691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let t(u) = -12*u - 1. Let n be t(-1). Let r be (-4)\/(-1) + (-1 - 1). Solve -b*x - n = -r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59431?\nAnswer: 103, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 24956721?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let h(z) = 198*z. Give c(h(f)).\nAnswer: -39204*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/160, -1\/4, -2\/7, -1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, x: 1}. What is prob of picking 1 k, 1 x, and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 5*b + 2 = -20*v, 2*v = 3*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -31*m**4\/24 - m**3 - 34*m**2. Is g(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6748 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111\/209 + 7\/11. Which is the closest to n? (a) -5\/2 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 5, 0.2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012854 times -363?\nAnswer: -4.666002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-180 - -47) - (-2 + -5).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10093 + -756. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3232 + -3?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9013 less than 49?\nAnswer: 9062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/856 and -23\/20.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810901 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 912868, -3 in ascending order.\nAnswer: -3, 4, 912868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*f**2 - 12*f**2 - 12*f**2 - f**3 + 4 + 2*f**4 - f**3 in the form w + r*f**4 + p*f**3 + t*f + i*f**2 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y. Suppose y*t = 5*t - 30500000. Suppose 0*u = -u + t. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, -4*v - 5*w = 4 - 31. Suppose -127*f - 172 = -131*f. Let x = -38 + f. Solve 0 = 3*m + 5*o + x, 4 - v = 3*m + 4*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times -458295\nAnswer: 119156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03612 - 1322987122.\nAnswer: -1322987122.03612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 487571873 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -19. Put f, -2\/5, -5 in descending order.\nAnswer: f, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let p(t) = -t. Let g be -146*(2 + -3)\/1. Suppose -22 = 6*d + g. Let a be 4\/(-14) - (-20)\/d. What is a*p(r) - l(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2290*r**2. Let f(b) = -21*b - 1. Give m(f(j)).\nAnswer: -1009890*j**2 - 96180*j - 2290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 5)*(-3*g**2 - 3*g**2 + 4*g**2 - 4*g**2 - 2*g**2 + 4*g**2 + (-3*g + 5*g + 0*g)*(-3 + 3 - g) + 0*g**2 - 5*g**2 + 4*g**2 + 5*g**2 - 20*g + 20*g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:41 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 9*u - 4. Let n be l(-8). Let k = n + 65. Is 12 a factor of -72*(k - (-51)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, m: 2, j: 1, c: 4, p: 4}. Give prob of picking 3 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. What is the remainder when 1 + v + 0 + 66 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 61, 108, 155?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/9)\/t))\/(t\/(t**(2\/3)\/t)))\/((t\/t**(-1\/4))\/(t**(6\/11)*t)) assuming t is positive.\nAnswer: t**(293\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 + z**2. Let k be a(-1). Let h be (0 - (-1)\/(-1))*k. Differentiate -3*v - 4*v + h + 7*v + 2*v**2 wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978627187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1134446.98 and 0.\nAnswer: -1134446.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1956 + -1956. Solve 0*z - 1\/8*z**5 + 0 + 0*z**2 + x*z**3 - 1\/8*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2429498 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:29 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnrnnnnnnnffnfff. Give prob of picking 1 r and 2 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {y: 6, k: 3, p: 2, s: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118728, 114613, 110498, 106383, 102268, 98153?\n\"Answer: -4115*k + 122843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + -3 + sqrt(704).\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12400 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -30. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 6*o - 6. What is j(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 733939.7 decades in centuries?\nAnswer: 73393.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -247\/725?\nAnswer: -247\/725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**3\/3 - 3*c**2 - 3*c. Let x(v) = -v**2 - 99*v - 1938. Let q be x(-72). What is f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -19 - (126 - 110).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1628101 micrometers?\nAnswer: 0.00001628101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865364.\nAnswer: 2, 47, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 13*t**2 - 22*t + 32. Let s be p(6). What is the greatest common divisor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3310*v - 1677*v + 2385 = 1686*v for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28772144 divided by -3596518.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-10)\/((-120)\/9)). Let g be -1*0\/(4 + l). Suppose 4*z - 168 = -4*t, -z = -g*t - 4*t - 47. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -40. Find the third derivative of -10*b**3 + 22*b**2 + 33*b**2 - 73*b**o wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*b - 1 + 9, 12 = -5*y - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0, -1\/9, -10\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 0 + -1 - -1. Let q be (55\/20)\/(r\/(-8)). Suppose 24 = q*c - 7*c. Solve c*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d**3\/4 + 113*d**2 + 1961*d\/4 + 77\/2 = 0. Calculate d.\nAnswer: -11, -7, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m - 4. Let k(n) = -5*n + 5. Suppose 4 = 3*p - 8. Let h(g) = p*k(g) + 5*c(g). Let f be h(1). Solve f*j = 3*i - 8, 0 = -j - 0*j - 3*i - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7881.0000222 - 7881. What is w rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39220\/(-86) - 966\/(-20769). Put 4, 2, 0, h, 1 in decreasing order.\nAnswer: 4, 2, 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 1, a: 7, m: 3, v: 5, f: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107930227 - -1?\nAnswer: -107930226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -30*v + 36. Let y(t) = -7*t + 9. Let z(c) = 2*h(c) - 9*y(c). Let n(l) = 2*l - 9. Let d(k) = 4*n(k) - 3*z(k). Determine d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 44, 94, 182, 320?\n\"Answer: 2*d**3 + d**2 + 7*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6768, 6797, 6846, 6915, 7004, 7113?\nAnswer: 7242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/5 - 7*a**4\/24 - 5*a**3\/6 + a**2. Let d be f(-4). List the prime factors of 2\/5 - d\/(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-100)*1\/(26 + 689\/(-26))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/11 - 115*q\/11 = 0.\nAnswer: 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:15 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1732 (base 8) in base 4?\nAnswer: -33122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -380430 - -225174. Is (2*1\/3)\/((-16)\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*i + i + 12, -16 = -2*q - 4*i. Let g = 14221 - 14228. Sort 4, g, q, -3.\nAnswer: g, -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(162) - (sqrt(162) + 2))*-2*-3 + (sqrt(162) - (-2 + sqrt(162))) + -4 + -2 + 1 + sqrt(162))**2*-6.\nAnswer: -3372 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 6. Let d be q(-6). Let l(y) be the second derivative of y**4\/12 - y**3\/6 + 15*y**2 - 9*y. Does 15 divide l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + x**2 - 2*x + 4. Determine g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9) - -1)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 1550\/70 - 1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*b*g + 54*a*g + a + b - 13 wrt g.\nAnswer: -2*a*b + 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6455 + 5?\nAnswer: 6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8016?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2138\/5 + 428. Let q = -3 - -3. Let r = -3 + q. Which is the smallest value? (a) 0.1 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 9*w + 8. Let h be q(-8). Let l = 3 - -2. Find the second derivative of -3*s + h*s + 5*s**5 - 2*s**5 - s**l wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17929897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:44 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/5 - 117*y**2\/5 - 13689*y\/5 + 1601613\/5 = 0.\nAnswer: -117, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*r - 18 = 0, 0 = 267*s - 245*s - 4*r - 138 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 4209?\nAnswer: 25254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1768)\/624)\/(17\/(-21))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 10*j + 8. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d + 15b4?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(75) + -5)**2.\nAnswer: -200*sqrt(3) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -445 + -3?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 662463 + -3?\nAnswer: 662460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-95)\/(950\/(-20)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -263142*v + 17. Let m be k(-14). Let s be (-1)\/3 + m\/15. Round s to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 + 7*m - 3. Let b be q(5). Let z be 4\/((-40)\/45)*(-36)\/81. Suppose -b*p + 2*p = -5*s - 80, z*p - s = 31. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 824*v**2 - 105*v - 105. What is the hundreds digit of c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00182 + -22.36818. What is d rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1164)\/(-485)*5\/(-2). Let i(u) = u**2 + u. Let a(t) = -4*t**2 - 10*t - 1. Calculate d*i(b) - a(b).\nAnswer: -2*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*b - 1543, -42*b = 4*p - 41*b + 2042. Is -510 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -96, -136, -202, -300, -436?\n\"Answer: -o**3 - 4*o**2 - o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 168*q - 2086299 - 3474837. What are the prime factors of q?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**6\/720 - w**5\/120 + w**3\/9 + 3*w**2\/2 - 2*w. Let v(x) be the first derivative of g(x). Suppose v(t) = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 4*c - 1. Let g be n(-3). Let l be (-44)\/(-6) - g\/6. Calculate the highest common divisor of 24 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 + 26*u - 174. What is the remainder when q(6) is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 149, 251, 353, 455?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297570.\nAnswer: 2, 3, 5, 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60.36112 and 0.05?\nAnswer: 60.41112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/21 (b) 1\/5 (c) -0.9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**2 + 11*n. Let x(h) = h**2 + h. Let c(m) = -2*a(m) + 22*x(m). Let g(f) = -f**2. What is g(c(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.06, 6\/145, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -4. Let y = 12 + q. Suppose y*i + 3 = 3*i, -3*i = 2*v - 527. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + w = 172004, 0 = 4*o - 6*w + 5*w - 137605. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4*u**2 + 683*i**3*u + 3*i*u**2 + 19*i*u + u**2 wrt i?\nAnswer: -12*i**2*u**2 + 4098*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5046400128 to the nearest integer?\nAnswer: 71038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 44593.\nAnswer: 35\/44593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-7))\/1 - 664\/(-28). What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10634 divided by 1067.\nAnswer: -10634\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 + 5. Let d be w(8). Let p(v) be the third derivative of v**4\/3 + 7*v**3\/6 - 7*v**2. What is the tens digit of p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 5. Let m be y(2). Let x = m - 13. What is the derivative of -30*v**x - 3 + 20*v**4 + v - v wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.54 and 0.25.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0 + 0*k**2 - k**2 + 2*k + 2*k**2 + 4. Is o(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 5*t + 5. Let x be s(-5). Solve -3*o - 1 = x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 246896 to the nearest one hundred.\nAnswer: 246900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*f + 201*f = 11*f - 8112 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -576 + 581. Let l(w) = 2*w**2 + w + 1. Let j(h) = -9*h**2 + h - 16. Let x(o) = -j(o) - 5*l(o). Let z(b) = -b**2 - 9*b + 16. Determine u*z(c) - 7*x(c).\nAnswer: 2*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044 = -949*v + 844*v + 1211 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 1249534 in increasing order.\nAnswer: -3, 17, 1249534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480982 divided by 2238.\nAnswer: -240491\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0368143011 to six dps.\nAnswer: 0.036814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2. Let b(h) = 12*h**2. Suppose 0 = -2*j + 5*p + 35, 2*p + 108 = 5*j + 31. Calculate j*r(o) - 4*b(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -5.173833.\nAnswer: -0.5173833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 5*l - 132, 3*q = l + 410. Suppose 5*k = -17 + q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhx when three letters picked without replacement from xhx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 235060 = -235052 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let n(z) = -5*z**2 - 7*z + 7. Let h(m) = 2*m + m - 3 + 0 + 2*m**2. Determine g*n(x) + 7*h(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*x + 28. Suppose -5*i + 3*q = -37, q - 11 = -i - 2*i. Calculate the highest common divisor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47520)\/(-10800)*1*-10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, h: 2, x: 1, a: 1, v: 1, m: 3}. What is prob of sequence mqam?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**7\/8820 - p**6\/630 - p**5\/35 - 3*p**4 - 29*p**2. Let n(v) be the second derivative of r(v). Factor n(j).\nAnswer: 2*(j - 6)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v + 2*b = 88, -b - 47 = -2*v. Let n(h) = -2*h + 169. What is the smallest common multiple of n(v) and 143?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 10:36 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 3:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*y - 4*y - 3, -5*k = 2*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (94\/(-3290))\/(1\/(-1015)). Let q be 2 + 1*(2 + -1). Suppose 116 = q*p - p. Calculate the highest common divisor of p and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3 - 2*q - 6 + 3. Let t(j) = -5*j**2 - 7*j. Let s(y) = 3*y**2 - y**2 + y + 2*y. Let r(l) = 7*s(l) + 3*t(l). What is r(f(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -123*3\/15*-5. Let v be (-1)\/((-124)\/w - -1). Suppose v = 2*x + 47. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:56 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**5 - 4*w**4 + 108*w**3 - 44*w**2 - 100*w + 48 = 0 for w.\nAnswer: -4, -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 205 (b) -53 (c) -5 (d) 1\/4 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**(6\/7)\/t)*t))\/t*(t\/t**(-1\/3))\/t assuming t is positive.\nAnswer: t**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v + 3188 = -1320. Calculate the smallest common multiple of v and 362.\nAnswer: 8326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + 23*f. Let x(b) = -17*b. What is t(x(k))?\nAnswer: 289*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/14)\/(-9 + -2 - 4424\/(-392)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*u**3 - 36 + 36)*(0 + 0 - 1).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - 2*t + 1. Suppose 3*l = 149 - 158. Let p be (l*(-12)\/(-27)*-3)\/2. Give i(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v + 36. What is the tens digit of l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4\/11 (c) -0.5 (d) 0.05 (e) 10.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135971 is divided by 135951.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247288872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + 147. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + 5*f = 116*d + 20, 5*f = -3*d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from zxzzzzzxzzxzzzzzzzzz.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34077, -34081, -34085, -34089, -34093, -34097?\n\"Answer: -4*l - 34073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:49 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let s = w + -7. Let p = s - -7. Solve -2*k + 7*k + p*t - 12 = 0, -3*k = -4*t - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43341123 - -3?\nAnswer: 43341131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 847683190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 895485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:23 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5483 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0 + 10. Let n(c) = c**3 - 5*c + 4. Let f be n(3). Suppose -d - 3*d - f = 0. Sort 0, d, k in decreasing order.\nAnswer: 0, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278 + 284. Let y = 33\/5 - m. Let l = 0.99 + -1. Is y less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(-18)\/(-30)*(1275\/45 - 9).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.4 + 44. Suppose 10*f - 7*f - 15 = 0. Which is the smallest value? (a) 2 (b) -0.5 (c) v (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3053173\/2429642 - -4\/32833. Let v = -5525\/2 + 33301\/12. Calculate the common denominator of i and v.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**3\/(x**(-2\/7)\/(x**(-4)*x)) assuming x is positive.\nAnswer: x**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1040913748 rounded to five dps?\nAnswer: 0.10409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29211197 is divided by 3558?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208\/19 equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*l - 2*l - 6, -2*g + 2*l = 0. Let q = 4 - g. Let w be (-8)\/10*(-2)\/8. Which is the closest to q? (a) -4 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 r when three letters picked without replacement from {r: 6, j: 9, v: 1, e: 1, a: 2}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*g - 3*g**3 + g**4 + 77*g + (-g**2 + g**2 - 2*g**3)*(-38*g - 65 + 65).\nAnswer: 77*g**4 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/27*0 - -5. Suppose 0*g = u*g + f - 7960, -6354 = -4*g + 2*f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, -23, -3, -4 in increasing order.\nAnswer: -23, -4, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4373*y**2\/2 - 15195. Let i(k) = -3*k. Calculate i(p(v)).\nAnswer: 13119*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114362 and 227911?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, c: 1}. Give prob of sequence qc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**8\/6720 + s**7\/2520 - s**6\/360 - s**5\/120 - s**4\/12 + 3*s. Let v(l) be the third derivative of g(l). What is v(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/12 + y**4\/6 - y**3\/2 + 24*y**2. What is the least common multiple of f(1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 72.8. Let d = -6.6 - f. What is the third smallest value in 2\/11, 4, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4.10279\nAnswer: -20.51395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3335 = -14*v + 3727 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/24 + 1\/2. Let q(w) be the second derivative of -2*w - 1\/12*w**4 + 1\/6*w**3 + 0 + n*w**2. Factor q(g).\nAnswer: -g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 79*i**3 + i - 1. What is the units digit of n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.7051 - -9.7. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 2, m: 4}. Give prob of picking 1 r and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -32\/5873, 2, 0?\nAnswer: -32\/5873","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z. Let m(x) = -7*x. Let h(k) = 6*l(k) - 7*m(k). Let w(d) be the second derivative of -5*d**4\/12 + 75*d. Calculate w(h(g)).\nAnswer: -845*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 170164867 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88849421*d**3 - d**2 + 4*d - 1017588?\nAnswer: -533096526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h - 2. Suppose -3*g - 4*y = 0, -4*g + 5*y + 19 = -3*g. Suppose -4*n = -2*z + g, 3*n - 6*z + 10 = -z. Suppose 7*o + 6*o - 26 = n. Calculate w(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 - 55154251.\nAnswer: -55154140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170057\/21 or -8097?\nAnswer: -170057\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jammamaoajaaozjmajum. What is prob of picking 1 z and 1 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/16 (b) 0.01 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*-6*2*(4 + -4 + sqrt(425) + 0) + 5)**2.\nAnswer: 2400*sqrt(17) + 979225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (-2 + 3*sqrt(300)))**2 + (6*(5 + sqrt(300)))**2)*-6 + -4 + 1.\nAnswer: -77427 - 21120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -1)\/(56\/22508). Let i be (2 + 1 + 1601)\/(-1). Let z = w - i. Calculate the common denominator of -23\/11 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 11. Let g(v) = -2*v + 11. Determine 6*g(t) + 5*j(t).\nAnswer: -2*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*s - 1017, 1180*v - 1176*v - 1356 = -5*s. Solve 9 = 336*n - v*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 - 267. Let g = n + 627. What is the third biggest value in -0.9, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) -1\/3 (c) -6 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -357712565?\nAnswer: -357712572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307615 and 2805?\nAnswer: 922845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1258, 2515, 3772?\n\"Answer: 1257*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -2 - -14) + -35.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)**(-20\/7)\/((r\/((r*r**(-29))\/r)*r*r)\/((r**(1\/9)*r*r*r)\/r)) assuming r is positive.\nAnswer: r**(-269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, b: 3, r: 3, i: 1, j: 1}. Give prob of picking 1 j and 2 r.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16\/12)\/(((5\/3)\/5)\/((-1924)\/208))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -10, -3*c - 214 = 3*w - 244 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 10*u**2 - 2*u + 3. Let k be n(-10). Let h = k + -16. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -415 - -411. Let j = 0.0166 + 2.9484. Let l = 0.035 + j. Which is the fourth biggest value? (a) v (b) 12 (c) -0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51289.36 nanoseconds in seconds?\nAnswer: 0.00005128936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7099*v + 12535*v = -4911*v + 2429955 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*v**2 + 2*v**2 + 3*v**2)*(145 - 145 + 16*v).\nAnswer: 16*v**3 + 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150\/3331 + 8912\/49965. Let 0 - 4\/15*j**3 - 8\/15*j - 14\/15*j**2 + l*j**4 = 0. Calculate j.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290.24861 - 290.38. Round z to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5))\/((-12)\/(-60)). Is (-682)\/x*(-24)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -11*r - 9. Suppose 0 = 10*l - 72 + 12. Let h be (r - -5)*15\/l. Sort -11, 1, h in decreasing order.\nAnswer: h, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 102. Suppose 2*z = 3*z - m*k - 88, 5*z - 2*k - 505 = 0. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -90*b - 91*b + 177*b. Let w(f) = 19*f - 1. Let s(h) = 37*h - 2. Let m(a) = 2*s(a) - 5*w(a). Give 2*m(q) - 11*x(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*g - 811*g + 489*g**2 + 268*g + 270*g.\nAnswer: 489*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 2 + -2 + (89 - 84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**2 - 37*x**2 - 3*x - 2 - 18*x**2 + 62*x**2 - 1. Let w(g) = 13*g**2 + 8*g + 8. Give 8*i(y) + 3*w(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3a806 (base 11) to base 6\nAnswer: -1125251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/(-6)*63\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Is 33*1\/(6\/j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 1\/8 (b) -6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 3*h - 1. Give y(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 7*b**2 + 4*b + 14. Determine r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 121, 137, 155, 175, 197, 221?\n\"Answer: v**2 + 11*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 24?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 57*h + 810 = -17*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2 - 5*i**2 - 3*i**2)*(4*i + i**3 - 2*i - 3*i).\nAnswer: -4*i**5 + 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g**3 + 12*g**2 + 3*g - 3. Let k(r) = 29*r**3 - 25*r**2 - 5*r + 5. Let l(x) = 3*k(x) + 5*p(x). Find the third derivative of l(h) wrt h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -820 + 848 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-320)*10\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i**2 + 31*i**2 - 19*i**2)*((i + 3*i - 2*i)*(4*i**2 - 4*i**2 + i**2) - 2*i**3 - i**3 + 2*i**3)*(-5 - 4 + 1).\nAnswer: -240*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.44 * -295\nAnswer: -424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8300*j**4 + 52*j - 1.\nAnswer: -99600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 2. Let n(i) = 17*i + 2. Let g(c) = n(c) - 2*t(c). Let b(a) = -26*a - 13. Give -6*b(w) - 13*g(w).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvcccvcvccvccyvycvv. Give prob of picking 2 v.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 737 + 927. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*h = -930*h + 1045 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from zzzzxzzzxzxxzzzx?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34839 divided by 3?\nAnswer: -11613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 56 = -11*u. Sort -436, 0.3, u.\nAnswer: -436, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-11 + 13)*-5*(-59034)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(693)\/(-1*sqrt(11)) - (sqrt(7623)*-1)**2.\nAnswer: -7623 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**3 - 3*p**2 + 5*p + 15. Let q be a(-2). What is the hundreds digit of 29\/q - (-3266)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 53*m - 86*m + 45*m - 80*m + 2.\nAnswer: -174*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3438\nAnswer: 1375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000904 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 480*t - 484*t - 132 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221379, 442803, 664271, 885783?\nAnswer: 1107339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 + -240. Solve -z*q = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13419105)\/10098 - (-10)\/(-85). Let f = q - -1329. Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240408252.\nAnswer: 2, 3, 7, 954001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -0.1063485446.\nAnswer: 0.4936514554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 32426*o**2 - 32428*o**2 - 4*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0723083 - 91267239.\nAnswer: -91267239.0723083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 11514*u**2 - 22095366*u + 14133669118.\nAnswer: -2*(u - 1919)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157877777879 + 0.3.\nAnswer: -157877777878.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - y = 56, y = -4*v + 5*y + 112. Does 8 divide (0 + 6\/7)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 219095 and 29?\nAnswer: 219095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a1286 (base 11) to base 9.\nAnswer: -13078016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 - 44909170*g**2\/3 + 252104201245974*g - 2268937676486258\/9.\nAnswer: 2*(g - 33681877)**2*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8298 divided by -5.\nAnswer: -8298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 4*b - 19. Let t = b + 11. Let z be (1 + 0)\/(1\/t). Solve -q = z*q + 6, -4*q - 14 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 242.5 (c) -4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 82 = -38. Calculate the remainder when 6\/21 - (-374)\/14 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*b + b - 9*b. Let h be (-6)\/27 + (-11)\/(-9). Let u be 13*7 - (2 - h). Calculate the greatest common factor of u and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*v + 35*v + 5*b - 44 + 59, 3*v = -4*b - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*t - 209*t + 5*m - 130 = 0, 6*t - 45 = -3*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 28 + 364 = 0. Suppose 0*d = 2*d - t. Find the common denominator of 4\/d*333\/6 and 79\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(9\/(-1641))*1. Suppose 5*k - r = 172 + 753, 3*k + r = o. Find the third derivative of -k*h + 184*h - 6*h**3 - 2*h**2 + 6*h**2 wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a year?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzt when four letters picked without replacement from zzztzzzzzztz?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559 divided by 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 0 - (-2)\/1. Suppose 5*r - 1 = c. What is the highest common factor of r and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-16)\/f)\/f))\/f**18 assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*s**4 - 49*s**3 + 16*s**2 - 7?\nAnswer: 768*s - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 71367170*a. Let n(g) = -5*g. What is n(q(f))?\nAnswer: -356835850*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -0.4 (b) -0.5 (c) 1\/4 (d) -1\/12319 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831889.99 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/15 - 22*c**2\/15 - 16*c\/3 - 32\/5.\nAnswer: -2*(c + 3)*(c + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003131010 (base 4) to base 11.\nAnswer: -179645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, -2059, -39, 1 in ascending order.\nAnswer: -2059, -39, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g - v - 1, 26 = 3*g - 4*v. Let f be (-6)\/(-1 + g + -3). What is the second derivative of -3*i**2 + 37*i**3 - 33*i**3 + f*i**2 + i wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 420360278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 11*i - 8. Let l(x) = -x**2 + 12*x - 26. Let h be l(5). Calculate t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -36*x**3 - x**2 - x. Let c be w(-1). Suppose 0 = -3*d + 3*g + 42, -4*d + g = -d - c. Calculate the smallest common multiple of 4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302\/5 + -60. Let k = 0.46 - -1.54. What is the smallest value in l, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -22. Calculate the greatest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kba when three letters picked without replacement from {b: 3, k: 4, h: 4, x: 3, a: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 9:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 204, 683, 1534, 2859, 4760, 7339, 10698?\n\"Answer: 17*w**3 + 33*w**2 - 9*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 340*m + 547094 - 556954 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 73, 0.29, -5.2, 131?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:02 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220210 - 2201022?\nAnswer: -210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ddpdpppaddappdpd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -27*l + 181. What is v(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*t = -315, 0*t = -3*k - 3*t + 435. Suppose -v + k = 2*v. Calculate the remainder when 199 is divided by v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y. Suppose -h - x = -5, 3*h - 4*x = 1 - y. Solve -h*v = -v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 365*y + 145. Let r be x(2). Calculate the greatest common divisor of 35 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-400)\/70 + (-4)\/14. Let q be (2\/j)\/(-4 + (-35)\/(-9)). Solve 3*g = 2*s + 13, -5*g - q*s + 24 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i**2 + i + 5. Let u be (-2)\/6*-3 - (2 - -2). Let o be n(u). Let h = o - -323. List the prime factors of h.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 7538112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*j - 39311280000 = -87*j. Round j to the nearest 1000000.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036098003786 rounded to six decimal places?\nAnswer: 0.036098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69429 and 2063673.\nAnswer: 2133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2\/45*g**5 - 1\/180*g**6 + 2\/9*g**3 - 6 - 1\/2*g**2 + 0*g - 5\/36*g**4. Let w(i) be the second derivative of y(i). Factor w(s).\nAnswer: -2*(s - 2)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(9\/18*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186253135.\nAnswer: 5, 37250627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.35 + -17.35. Let l = -1.74425955 + 0.74425889. Let p = i + l. Round p to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45912 + -31412. What is s rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38615, -38524, -38419, -38288, -38119, -37900?\n\"Answer: 2*b**3 - 5*b**2 + 92*b - 38704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-4\/15)*g**(-1\/2)\/g*g**(1\/4) assuming g is positive.\nAnswer: g**(-43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(300) - sqrt(300))*-1 + 0 + -1*sqrt(300) + -5 + 3)**2.\nAnswer: 240*sqrt(3) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 11*x**2 - 58*x - 704. Calculate the least common multiple of 2065 and p(-12).\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11377057 to the power of 1\/2, to the nearest integer?\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3350, 3422, 3546, 3722, 3950, 4230?\nAnswer: 4562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*z. Let i be 6\/12*12\/z. Solve 3*v = 3*h - i, 0*h + 3*h - 3 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 13*y**2 - 15*y - 1. Let g be x(14). Let j(h) = 4*h**2 + 23*h + 14. Let u be j(g). Suppose -u = 4*v - 4197. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 12*p. Suppose -3*i - 8549985 = -5*c, 2*c - 4*c - 2*i + 3420010 = p. Round c to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(133) + -3*(-2*sqrt(133) - sqrt(133)))\/((sqrt(700)*2 + sqrt(700))*2 + 3*(sqrt(700) + -2*sqrt(700))).\nAnswer: 7*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = 0. Let r(n) be the first derivative of -3*n**2\/2 + 2*n - 5. Let k be r(-1). Put a, k, -4 in descending order.\nAnswer: k, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1583*c = -1579*c. Solve -2*v - 2*k + 10 + 6 = c, -5*v - 2*k + 25 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 2047453 - 2047453.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.3 + 14. Let k = p + 0.3. Suppose -17*f - 2*f = -5*f. What is the second smallest value in -2\/9, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -607 (base 11) to base 10\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-19)\/(-247) + 107013\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-189)\/(-42)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 6*t + 197. List the prime factors of b(-29).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s, 11*c + 0*s = 4*s + 919. Which is greater: 81 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*g = -73*g + 24. Solve -5*p - 5*v = 30, 0*p = -g*p - 2*v - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/64176 and 23\/28?\nAnswer: 64176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 26 - 18 - 16*t - 129 + 19*t.\nAnswer: 3*t - 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from {n: 4, e: 2, y: 1, r: 6, q: 3, s: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 243272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 l when four letters picked without replacement from {l: 6, e: 11, f: 1}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8988 and 1926.\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.9 - 11. Let p = 92 - 56. Let l = w - p. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a**2 + 5*a. Let c(z) = -7*z**2 + 2*z. Suppose -25 = -l - 4*v, 3*l - v = 11 - 1. Suppose 19*r + 5 = -33. Determine l*c(p) + r*d(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/4*-1*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u - 619*u + 13*u - 645*u - 30912 = 0 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33894636*y**2 + 11038553*y wrt y?\nAnswer: 67789272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -323*o + 344*o + 107 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113335 is divided by 578.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -2\/9 (c) -75482679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 + 10*n**4 - 60*n**3 - 40*n**2 + 160*n.\nAnswer: 5*n*(n - 2)**2*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2 - 119*f + 2640. Does 5 divide r(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14099*v - 296096. Give g(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84734057 - -10?\nAnswer: -84734047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*22156\nAnswer: -22156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135458, 130198, 124938, 119678?\n\"Answer: -5260*a + 140718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448318.\nAnswer: 2, 13, 43, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 88 - 122 = -5*d, 0 = -2*d - 5*b + 34. Solve -d*c = -5*s - 4, 0 = 3*s - 117*c + 121*c - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*t**2*u**2 - 3*c**2*u**2 - 15*c**2*u + 273*c*t**2*u**2 + 28*c*t**2 + c*u + 2*t*u**2 - t*u wrt c?\nAnswer: 8*t**2*u**2 - 6*u**2 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115347*n**2 - n + 6277?\nAnswer: -230694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/112 and -51\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -25c?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -3 (c) -0.2 (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3135 - -4766. What are the prime factors of n?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0085024 centuries?\nAnswer: 0.00085024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106958 divided by 3481?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*4\/10)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 700569 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 7*l**2 - 5*l + 9. Let x be g(-6). Suppose -3*o + 11 = 2*c, c - x*o - 1 = -0*o. Let r = -3.2 - -0.2. Put r, c, -2 in decreasing order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1426742 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/36 and -157\/12276.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**4 + p**2 - 3*p + 1. Let n(v) = 19*v**5 - 49*v**4 + 54*v**3 - 9*v**2 - 22*v + 7. Let l(w) = 21*k(w) - 3*n(w). Let l(f) = 0. Calculate f.\nAnswer: -1\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 36. Give p(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.0406676232 + 0.0406680732. Let t = 14 + n. Round t to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 491 = 23. What is the remainder when 3023 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - a**3 + 0)*(0*a - 2*a + 3*a)*(-387*a - 10030 + 10030).\nAnswer: 387*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2411*g + 1203*g + 1224*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.957357 nanoseconds to seconds.\nAnswer: 0.000000000957357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 4*t + 4*t - 2*t - 2*t + 3*t + (-1 + 1 - t)*(-2 + 3 + 0) + 0*t + t - 3*t)*(t - t - 3 + t) as u + v*t + f*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-25))\/((-864)\/31680) + (-6)\/5?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 9*a**3 + 5*a**3 + 7*a - 12*a + 5*a**3 - 1 - 9*a**2 to the form g*a**2 + v*a + c + l*a**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -46, 200, -0.3, -4, -376.\nAnswer: -376, -46, -4, -0.3, 3\/4, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(125) - (-2 + (sqrt(125) - sqrt(125)*-2)) - 3*-2*sqrt(125)))**2.\nAnswer: -240*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28983700)\/(-35) - 5) + 26\/91 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g*q**3 - 224*g*q**2 - 404*g*q + 118652*q**3 + 5*q**2 + q + 1 wrt q?\nAnswer: 84*g + 711912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:23 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171475 divided by -1805?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75357450 divided by -17815.\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493517429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11871280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 9*n**2 + 23*n + 23. Let h be m(-11). Let x be 8 + 3\/(-9) + (-8)\/h. What is x rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.1. Suppose -10 = g - 6*g. Which is the biggest value? (a) g (b) d (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a**3 - 3*a**2 - 9*a - 1. Let x(k) = 12*k**3 + 4*k**2 + 11*k + 1. Give -5*j(h) - 4*x(h).\nAnswer: 2*h**3 - h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c)\/c**(2\/25)*c**(-11)\/(c*c**(-3\/7)) assuming c is positive.\nAnswer: c**(-3614\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4687*q - 14077. What is u(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 11 - -11) + -5 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*d - 62*d + 46*d to the form h + v*d and give v.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - 4*h + 5. Let m be f(5). Suppose 5*x + 5 = m. Let c = 55 + -163\/3. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533 = 67*p - 131 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from titjvtttj. Give prob of picking 3 v and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 6. Suppose 5*l + 0*q - 2*q = 8, 3*q - 5 = -l. What is the lowest common multiple of l and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13355 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -19*n - 19. Let r(o) = -o**2 - 5*o - 6. Let i be r(-4). Sort n, 3, i, -3 in decreasing order.\nAnswer: n, 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -5. Solve -1 - 14 = -3*t + h, -5*t + 5*h = -g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2 + (-3)\/2). Let n be 247 + (f - (6 - 3)). Suppose -976 = -l - n. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 16512.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -508\/535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 43089128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:44 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3363540 and 427?\nAnswer: 23544780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023658 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrufrrfrfuuuruu. Give prob of sequence ufu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-10)\/(-15)*-3). Suppose r = -2*b - 59 + 237. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 k when four letters picked without replacement from cgccgkcccgkkggg.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17101591831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**2 + 535 + 262*z**2 + 506 - 1041.\nAnswer: 223*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 22 = -o - o, 16 = -4*x. Let t be -5 + (-4)\/(28\/(-2891)). Is (t\/9 + 3)*o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381060911 to the power of 1\/2, to the nearest integer?\nAnswer: 19521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21526)\/3572 + 12\/2)\/((-9)\/(36\/2))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/421 or 0?\nAnswer: 6\/421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6*(4\/(-4))\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111863503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -431.1 and -18.8.\nAnswer: 8104.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0.2 (c) 11\/62 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109459*n - 12132 = 109796*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + x = 7*q - 138343, -5*q = -3*x - 345862. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 15) to base 4\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 9*d + 2. Let m be u(0). Let o(t) = -8*t + 2. What is o(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(((-480)\/(-15120))\/(2\/(-3))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50124, -100226, -150330, -200436?\n\"Answer: -w**2 - 50099*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.25 + 0.15. Let j = -26 + t. What is j rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -0.016 (c) 56.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*k + 70 - 7 = 0, 0 = -i + k + 17. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*(-7)\/392*-218?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10635)\/2136*(-14)\/12 - 2. Let h = 1\/267 + r. Calculate the common denominator of -71\/10 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 2*y. Let f(w) = -11*w**2 + 5*w. Let k(l) = 2*f(l) + 5*h(l). Let z(b) = 2*b + 14. What is k(z(v))?\nAnswer: 12*v**2 + 168*v + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*-2 + (sqrt(114) + 1*sqrt(114))*1)\/(sqrt(42)\/((sqrt(56)\/sqrt(2))\/sqrt(4))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40685, 40688, 40691, 40694, 40697, 40700?\n\"Answer: 3*b + 40682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10986, -10983, -10980, -10977?\nAnswer: -10974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19497806 divided by -22?\nAnswer: 9748903\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 61. Suppose f - 192 = -y*z, 2*z - 192 = -z - 2*f. What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.27578nm in kilometers?\nAnswer: 0.00000000008127578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(-1\/68))**(20\/7)\/(a**(-3)\/a*a*a**(-6\/11)*a)**(-1\/28) assuming a is positive.\nAnswer: a**(-723\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677765 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176166384 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/6*b**4 + 2*b + 0*b**2 + 0 + 3\/20*b**5 + 0*b**3. What is the third derivative of u(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 - 1413*k**4 + 9923*k**3 - 24123*k**2 + 24134*k - 8520 = 0.\nAnswer: -1420, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t - 5*i - 11, -4*i - 22 = -5*t. Differentiate 2*p - t*p + 3*p - 7*p - 4 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 103 - (56 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -22488 - -24273. Calculate the smallest common multiple of 50 and z.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/169216 and 103\/704?\nAnswer: 1861376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 19972410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uulr. Give prob of sequence uu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/30 - n**5\/60 - n**4\/24 + 4*n**2. Suppose -7*r - 157 + 150 = 0. Determine h(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4633 - 92553\/20. What is the common denominator of -49\/45 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 889158 or 889157?\nAnswer: 889157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let t = 1695 - 1695.2. Which is the closest to t? (a) i (b) -3\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**4 - 47*k**3 - 9*k**2 + k + 8. Let r(t) = -9*t**4 - 108*t**3 - 19*t**2 + t + 16. Let g(a) = -3*r(a) + 7*y(a). Factor g(x).\nAnswer: -(x - 1)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*v - 14*v + 15*v)*(v**2 + 4*v**2 - 3*v**2)*(2 + 2 - 3) in the form z + a*v + o*v**3 + j*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16565300 (base 7) to base 13.\nAnswer: 450a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6801220?\nAnswer: 2, 5, 340061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -239, -4, 0.3, 34\/7?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282.385806 rounded to 1 dp?\nAnswer: 3282.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -335. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*y + 5 = 0, -4 = 4*x - 2*y + 6*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547173071?\nAnswer: 547173071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2648.\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Let g(n) = 6 - 3*n**3 + 2*n**3 + 5*n + 2*n**3 - 7*n**2. What is g(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32792 and 204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 1\/2, -0.6 in increasing order.\nAnswer: -0.6, 0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -325, -334, -357, -400, -469, -570?\n\"Answer: -r**3 - r**2 + r - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/14 - (-4)\/14. Suppose 0 = t*h - 31 - 113. Suppose -p = p - h. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2 and 35\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 17*g**2 + 70*g - 85. Give j(-9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809 + 2772 = 9*s. Suppose -14*k = -s - 51. Calculate the smallest common multiple of k and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.8 + -9.61. What is c rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 + -12)) + -2 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 404, -3, -4, 2, -7 in descending order.\nAnswer: 404, 4, 2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162861894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 2 - 2)*(5*z + 14 - 18 + 7) as m*z + n + v*z**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 5*i**2 - 2*i**2)*((2*i + i - 12*i)*(-1 + 1 + 2*i) + 55*i**2 - 16*i**2 - 20*i**2) as j*i**2 + n*i**3 + u*i**4 + l*i + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -41. Let y = p - 55. Which is the closest to y? (a) -0.5 (b) 2 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -295*m**3 + 5597*m**2 - 5597*m**2 + ((-m + 5*m - 2*m)*(-1 - 1 + 0) + 3 + 2*m - 3)*(2*m - 7*m + 2*m**2 + 3*m).\nAnswer: -299*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.209 - -0.14. Let p = -0.07 - g. 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: Round 28.305 to 0 decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 575 - 561. Sort -2, a, -0.03.\nAnswer: -2, -0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.179 + 0.249. Let v = -1.1 + 1.17. Let t = v - w. Which is the biggest value? (a) 1\/6 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 11}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:00 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 102, 223, 382, 573, 790, 1027, 1278?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.31723005 to 2 dps.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 4660956.\nAnswer: -93219.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 21*b - 184 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5) - (-8 - (-4112)\/560)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/80 - 3*p**4\/32 + p**3\/2 + 470*p**2. Factor c(g).\nAnswer: -3*(g - 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*y + 10 = 0, n - 19 = 5*n + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/2 + 5*k**2 + 15*k\/2.\nAnswer: -5*k*(k - 3)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, z: 4, h: 3, b: 4, j: 1}. What is prob of picking 2 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6 + -5) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 29*j**2 + 104*j + 1395. What is s(-13)?\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {n: 1, o: 3, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17739 - -17755. Solve 0 = 8*u + f*u - 192 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41565 divided by 1?\nAnswer: -41565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -46\/3. Let l(u) be the first derivative of -x*u + 1 - 1\/3*u**2 + 2\/9*u**3. Find g such that l(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 87, 1, 5, -3, 20 in descending order.\nAnswer: 87, 24, 20, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d\/(d*d**(-3\/2)))\/(d**(-2\/7))**49 assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (37044\/1680 - (-4 - -10)) + -16?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -y + 71, r - y = -r + 44. Let b = r - 11. Solve h + h = t + b, -20 = 5*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 2 = -4*j - y, 0 = -5*j + y + 23. Let l(p) = 7*p**3 + 9*p**2 + 11*p + 15. Let n be l(j). What is the greatest common factor of 90 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/7 - (-56)\/980*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 - 15*k**2 - 32*k**2)*((3*k - 4*k + 5*k)*(0 + 0 + 2)*(-3 + 2*k + 3)*(2*k - 1 + 1) - 4*k**2 - 2*k**3 + 4*k**2).\nAnswer: -1200*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220021012 - -2?\nAnswer: -220021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(2\/9)*r*r)\/r))**11)**(2\/9)\/(r**(2\/7)*r*r**(-6))**(-4\/15) assuming r is positive.\nAnswer: r**(-5104\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1284121 (base 9) to base 4.\nAnswer: -2230020103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*c = 16, 3*g - 5*c + 0*c = -14. Let u be (2\/(-4) + g)\/(1 - -2). Which is smaller: u or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 - 1 = 0. Is a smaller than -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 64. Let x be a(0). Suppose 0 = -3*b - b + x. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011 (base 2) to base 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5246452?\nAnswer: 2, 37, 35449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 920 + -606. Suppose 0 = c*j - 320*j + 4410. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 1030*k + 22197. What is a(22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19.229*-1\nAnswer: 19.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f. Suppose -2*i - 5*l + 45 = -49, -3*i + 3*l + 99 = 0. Let m(s) = -116*s + 44*s + i*s. Suppose -5 = -5*w + 5. Determine w*m(q) + 15*v(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085535 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:27 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 195. Let x = g - -127. Calculate the remainder when x is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 19*j**2 - 20685*j - 372662. Determine b(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 o when four letters picked without replacement from {o: 3, m: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7137711\/513 + (-16)\/(-12) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + t + t**2 + t)*(2*t**2 + 4*t**2 - 4*t**2 - 2*t).\nAnswer: -6*t**4 + 10*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 15077073.\nAnswer: -1507707.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2 - 19. Suppose -4*x - 19 = -p, 40602 = 3*j + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -100*l + 5. Let j(d) = 25*d - 1. Determine 9*j(h) + 2*s(h).\nAnswer: 25*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11409*s + 11409*s - 81*s**3 - 116*s**2 wrt s?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10)*5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 428, 646, 864?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/7)*f*f)**(-6\/29))**(-31) assuming f is positive.\nAnswer: f**(2046\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*o + 3*o + o)*(-2 - 1 + 1) + 3 + 58*o + 1 - 2)*(4*o + 2*o + 0*o) in the form q*o + n*o**2 + b and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**3*x**2 - 177*a**3*x + 5*a - 28677*x**2 wrt a?\nAnswer: 33*a**2*x**2 - 531*a**2*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 5}. Give prob of sequence zgg.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 5*y**4 - y**4 + (6 - 2 - 2)*(-2 + 5 + 2)*(-5 + 2*y**4 + 5) to the form q*y + n*y**4 + c*y**2 + s*y**3 + g and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193898 divided by 1447.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*f**2*s**2*v + 7*f**2*s*v - 7*f + 9*s**2*v + 7*s**2 wrt f?\nAnswer: -70*s**2*v + 14*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.1047\nAnswer: 0.04188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = -45*h + 233550. What are the prime factors of h?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1442 divide 30406729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let d(n) = -2*n**2 + n**2 + 0*n**o + 2 + 2*n**2 - 2*n**3. What is the tens digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 202*p**2\/9 + 4928*p\/9 + 11776\/3.\nAnswer: 2*(p + 16)**2*(p + 69)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 4378.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-51)*(20 - (2 - 5)\/(-1)). Solve 3*f = 20*f - w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -5*j**3\/6 - j**2 - 9*j. Let z be t(-1). Solve 0 = 3*d + 4*f + 3, 0 = -4*d - 0*d - 3*f + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/(h*h\/(h**(2\/13)*h)))\/h)*h**(-2)*h)**35 assuming h is positive.\nAnswer: h**(840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**40\/((s*(s*(s\/((s*s**0)\/s))\/s*s)\/s)\/s**0) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*q + 440 - 146 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/2*(-555)\/45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2068 + 6274\/3. Find the common denominator of h and -58\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 600 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13570123 - 0.6?\nAnswer: 13570122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 c when four letters picked without replacement from cycccyccyycyy?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/7 - 12*c**4\/7 + 36*c**3\/7 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**5 - 8292021*f**3 - 85287*f**2 + 245*f wrt f?\nAnswer: -420*f**2 - 49752126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 3*r + 7*r + (2*r - 1 + 1)*(1 + 0 - 3) - 3 + r + 3)*(-r - 1 + 1)*(2*r + 4*r - 5*r) in the form l*r**3 + z*r + p + u*r**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**6 - 32*t**5 - 91*t**4\/3 + 1144*t**3\/27 + 232*t**2\/9 - 224*t\/9 - 77. Find w such that x(w) = 0.\nAnswer: -1, -2\/3, 1\/3, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555*z + 594 = 276*z + 312*z. What is the remainder when 1255 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 + -288902?\nAnswer: -288902.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53.56 and -419962145.1?\nAnswer: 419962198.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*p + 317*p + 85 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a - 50*a - 8*a**2 - 841 + 11*a**2 - 4*a**2.\nAnswer: -(a + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*2\/(-10). Which is the nearest to -2? (a) -0.1 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*f**2 + 274\/3 + 45*f.\nAnswer: -(f - 137)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 12020?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1700) + sqrt(1700) + -2)**2 - (sqrt(425) - (sqrt(425) + -1))) + 3.\nAnswer: -80*sqrt(17) + 6811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.4 - -29.1. Let g = -129.7 - -122. Let h = z + g. Which is the nearest to h? (a) -3 (b) -0.14 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2532 from 0.3.\nAnswer: -2531.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 27*i**2 - 5*i + 34. Let o(m) = 2*m**3 + 54*m**2 + 11*m - 69. Let k(s) = 6*o(s) + 13*x(s). Let b be k(-27). Is 9\/16 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/2 - 15*v**4\/2 - 19*v**3\/2 + 267*v**2\/2 - 206*v + 90 = 0.\nAnswer: -10, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 4*g + 65999992, 4*g = 8. Round k to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439325 is divided by 87848?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -7*n + 2*n, 3*n + 6 = -5*o. Suppose -v = -5*h - 9, -3*h = -v - n*v + 53. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(5 - 0). Let j = -37 + 37. Is j at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = 4. Suppose -37*d - 5*d + 887 - 89 = 0. What is the remainder when d is divided by 2\/(-4) + (-30)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121155 divided by 985.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 350 - -2191. What is the third derivative of -4*z**5 - g*z**2 + 2573*z**2 - 9*z**5 wrt z?\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32562011.\nAnswer: 311, 104701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (108\/180)\/((-1)\/(-5)). Let t(n) be the first derivative of 0*n**2 - 2 - 3\/2*n**4 + 0*n**s + 4*n. Differentiate t(p) wrt p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 154*b**2 = 0.\nAnswer: 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 658 + -656. Factor -3\/5*d**3 - 3\/5*d + 0 + 6\/5*d**m.\nAnswer: -3*d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -7886.31?\nAnswer: -7885.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 152?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2190, 2408, 2732, 3162, 3698, 4340, 5088?\n\"Answer: 53*v**2 + 59*v + 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let a(r) = -2*r + 0*r + 14*r. Determine a(w(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(1088) - (-3 + 0 + sqrt(1088))) + 2 + sqrt(68)\/sqrt(4) + sqrt(17) + (4*sqrt(170) + sqrt(170) + sqrt(170))\/sqrt(10).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.945 times -17?\nAnswer: -16.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 72. Suppose -4*t - 4*b = t - 10987, -s*t = 2*b - 10981. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127707 by -6.\nAnswer: -42569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 3. Let d = 6 + -8. Let m(c) = -2. What is d*p(h) + 6*m(h)?\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1357*g + 1326*g + 399528. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 28*s - 10*s. Suppose 19*w = 16*w + 5*m + 184, 3*w + s*m = 191. What is the highest common divisor of w and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p - 0*p. Let t(k) be the second derivative of 0*k**2 + 1\/3*k**3 + 1\/4*k**4 + 2*k + p. What is the second derivative of t(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Let z = 3.3 - x. What is the closest to -1\/2 in -1\/5, z, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4675 by -1.\nAnswer: -4675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**3 + 1 - 2*l**3 - 3*l**3 wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 0, 3*r - 12674 = -3*p - 1784. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3202644 divided by -55218\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4496 + -4481. Solve -3*l - w = -10*q + 11*q, 3*l + 3*q = -21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 476, -5, 32\/13, -0.18 in decreasing order.\nAnswer: 476, 32\/13, -0.18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - 5*w**2\/2 - w - 1. Let q be k(-4). Let p(m) = -4*m**2 - 3 + q. Let c(d) = -d. What is p(c(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose -14 = 3*c - 4*z - 45, 4*c + 4*z - 32 = s. Let k = 14 - c. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.67 - 0.17. Is g equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310050200 rounded to the nearest 100000?\nAnswer: -310100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 345\/2300*184\/3?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + ((1 + 1 + sqrt(162) - sqrt(162) - (-1 + sqrt(162) + 4))**2 + -1)*-5).\nAnswer: -1628 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x - 2. Let k be v(6). Suppose -224 = k*g - 0*g. Let h = -32 - g. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250120 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: What is (-9)\/(((-6696)\/434)\/36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-2 + -1 + -1). Let t = g + -1. Let r(b) = -b**t - b**3 - 8 + 8 + 2*b + 0*b. Determine r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((70\/6)\/5)\/(84\/216).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(37\/(-25 + 395))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 6) + 10*3. Suppose -3*r - 3*a - u + 113 = 0, a = 3*r - 77. What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-105))\/(5\/40*4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 834 and 106?\nAnswer: 88404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10114553 + 762?\nAnswer: -10113571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0 - 16. Let w be (15*20\/(-15))\/((-2)\/t). Which is smaller: 39 or w?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189543.\nAnswer: 3, 23, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 91 = -17 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -182224*t. Let i(y) = 13*y. Determine i(o(g)).\nAnswer: -2368912*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8065815 to the nearest integer?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 3, k: 6, c: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11.4. Let w = 99 + -99.4. Which is the closest to 1? (a) 2\/7 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2434, -1284, 1828, 7880, 17850?\nAnswer: 32716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 120 = -17*p. Is p bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*o - 4*o - 107 = 9*x + 81 - 242, -3*x - 47 = -5*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -38 + 44. Is (1 + 351\/n)*-14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/140*3\/(-3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2*o**6\/3 + 24*o**5\/5 - 15*o**4 + 32*o**3\/3 + 96. Suppose k(t) = 0. What is t?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -28, -52, -72, -82?\n\"Answer: j**3 - 7*j**2 - 8*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijdjc. Give prob of sequence jcj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*y + 3138*y + 1 - 1.\nAnswer: 2883*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -478, -1829, -4516, -8983, -15674?\n\"Answer: -74*y**3 - 2*y**2 + 65*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20621399 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqc when three letters picked without replacement from qclwqwojqoww?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p - 3. Let f(h) = 7*h - 1. What is 10*f(d) - 4*l(d)?\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = 4. Let y = -5 + 7. Let s = y - l. Sort s, 3\/7, -3 in decreasing order.\nAnswer: s, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -61\/4 (c) -0.03749\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((-292)\/60 - -3). Let i = 5\/8088 + -677021\/525720. Let q = m - i. Which is the second biggest value? (a) -1 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396310930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 44*v**2 - 96*v + 144 = 0. What is v?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from wpwpwwwwkwppww.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 - 7*d**2\/2 - d - 2. Determine g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o. Let u(v) = -v**3 + 8*v**2 + 6*v. Suppose k + 6*k = -7. What is k*u(r) - 6*q(r)?\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*n + y, -14*y + 15*y + 20 = -10*n - 2*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 12. Let g = 17 + -23. Let b be m(g). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 20 - 4. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1. Let n(j) = j + 7. Suppose 2*t + 2*i + i = 19, 14 = t + 3*i. Calculate t*a(k) - n(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -145*b + 294. Let o be n(2). Solve -o*d + 1 - 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjfjjjfjojfftjjjffo. Give prob of sequence fjtf.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - -0.3. Let s = -3 + t. Let r = -1 - s. Put r, 3\/4, -1 in descending order.\nAnswer: 3\/4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y + 18. Let t(a) = a**3 - 5*a**2 - 3*a - 8. Let v be t(y). Let f = -16 + v. Which is bigger: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, w: 2}. What is prob of sequence wwa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z + 8 + 52 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-140)*5 + (-221)\/91. Which is the closest to 1\/2? (a) -7 (b) o (c) -5\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.8 in -1395, 18, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*u**3 - 537864*u**2 - 1613673*u\/5 - 48411.\nAnswer: 3*(u - 8965)*(10*u + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 1, d: 13, a: 3}. What is prob of picking 1 y and 1 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95116 and 2741142?\nAnswer: 1650167484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2098 = 23*m + 479*m + 14146 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -162*y + 1. Let d be a(-1). Suppose -5*b + 679 = 2*i, 4*i + 4*b + b = 1363. Let h = i - d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 <= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15357 or -15358?\nAnswer: -15358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*f + 3)*(308 + 341 + 23) to the form a + p*f and give p.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*j + 1302 = -27*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-2) + (-515077)\/(-73593). Does -1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15741 or 15609?\nAnswer: 15609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588, 1372, 2354, 3534, 4912?\nAnswer: 6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from idixuiuii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 9*v**3 + 3 + 5*v + 7*v - 37*v**2. Let r(q) = -20*q**3 + 75*q**2 - 24*q - 7. Let a(n) = 3*r(n) + 7*x(n). Let a(h) = 0. Calculate h.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + ((6 - 2) + -13 - (-42 - -6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144.05 + 139. Let p = -45.75 - z. What is p rounded to 0 dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 8)*(-q - 1 - 1 + 0) - 16*q - 27*q + 2*q + 1 + 2*q - 1 + 2*q + 2*q - 2*q + (2 - 2 - 2)*(-2*q - 2*q + 2*q) - 4*q + q + 4*q + 2*q - 2*q - q.\nAnswer: -38*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2516 from 4300556568.\nAnswer: 4300554052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-5))\/((1071\/135)\/17). Which is the third biggest value? (a) 1\/9 (b) u (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -8*s - 66. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 13270*r**2\/3 + 925225*r\/3 + 5390000.\nAnswer: (r + 35)**2*(r + 13200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-20))\/((-14)\/(-8))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 23*c = -3195. Let j = -349 - c. Let i(n) = -n**3 + 7*n**2 - 7*n + 6. Give i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2.8, 5, -2\/283, -11, 2?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 478\/117 or -0.078?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -31537468 >= -31537468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/3 + 10*g - 6. Let a(t) = -37*t**2. What is i(a(d))?\nAnswer: 74*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/3 + 6*u**2 + 10*u - 50\/3 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) -94\/26625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1986 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:14 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -420\/11 (b) 4 (c) 34.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -161*o - 2054 + 127 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -144. Let d = 449 - t. Is d a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 14*u + 12. What is the lowest common multiple of 32 and a(-8)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 47 - 46 - 8*2\/1. Let u(x) = x**3 + 15*x**2 - 4*x - 46. Determine u(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -184.6, -8, -5, -0.016.\nAnswer: -184.6, -8, -7, -5, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5690 + -2db0?\nAnswer: -8550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -35*d - 155. Let j be r(-6). What is the greatest common factor of j and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 19 - 1 = 0, 11 = -x + 3*i. Suppose -p + x = -4. Let h = -3 + 5. What is the remainder when p is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 a, and 1 i when four letters picked without replacement from iimafaa?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/9294 and -55\/55764.\nAnswer: 55764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 1. Let x(i) = -i**2 - 3*i + 4. Let t be (-9)\/(-2) - 17\/34. Give t*s(d) - x(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -202?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68909 + 254*n**2 - 68909.\nAnswer: 254*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -121, -196, -287, -400?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673496.\nAnswer: 2, 3, 11, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83007377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 159 - 453 - 7*w**2 + 146.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + 93 + (2 - -9) + (5 - 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -56.9, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 18*t**2 + 25. What is w(-18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-8)\/(-14))\/(3*56\/(-588))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11199.\nAnswer: 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8377 + 8380. Let v(l) = -l**3 - l**2 + l - 2. Let b = -3 + 1. Let m be v(b). Solve m = 2*u + u + x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*q - 410 = 0, 40*r - 38*r + 4*q + 230 = 0. Let x = 127 + r. What is the least common multiple of 4 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i)**(-1\/26)*(i*i*(i**(1\/3)*i)\/i*i*i)**(1\/95) assuming i is positive.\nAnswer: i**(-517\/7410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/21500 and 17\/304440.\nAnswer: 7611000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00744588 + -208.7.\nAnswer: -208.70744588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-7)\/(2\/2). Let s(x) = -197 - 155 + 100 - 15*x. Let r be s(-17). Solve -4*i - i = r*t + 1, -w = -4*t - 3*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + sqrt(13)*-1 + 5)*1)**2 - (-2 + 2*sqrt(208))**2.\nAnswer: -436 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 15670*r + 7239212.\nAnswer: 2*(r - 7342)*(r - 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-3)\/(-9))\/((-26)\/(-1482)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t + 2. Let s be c(4). Suppose -s = 7*u - 8*u. Let o(a) = 2*a - 3. What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000567835683 to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*b - 8226 = -8187, -3*c - b = 30 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310856 divided by 23912.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n - 3. Let o be y(-5). Suppose -i - o = -3*i. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55320315 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3052493*l**4 - 2*l**3 + 10659*l - 429.\nAnswer: 36629916*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 + 4*c + 3. What are the prime factors of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-2997)\/6) - 1076\/54?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 minus 15985770?\nAnswer: -15986101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 2. Let d(s) = 2*s - 3. Let z(v) = 4*d(v) + 5*y(v). Let r be z(-1). Solve b + 0*b = -w - 5, r = 4*w + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(((-12)\/(-14))\/(57 + -56)). Solve -43 = -a*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-56))\/(1\/(-26)). Let b = p + 401\/70. Let q = 1226\/7 - 176. Calculate the common denominator of b and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (39 - 2) - (-7 - -21)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-105) + (-2)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512 + 550*v + 3*v**3 - 512.\nAnswer: 3*v**3 + 550*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100\/500 - (-213)\/(-15) - (0 + -49)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.4856 centuries in months?\nAnswer: 641382.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 350414 divided by -19?\nAnswer: -350414\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7793?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-264)\/(-84))\/(2\/(-12)). Let z = x + 19. Which is the biggest value? (a) z (b) 0 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/49 in 0.4, 146\/1105, -2?\nAnswer: 146\/1105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, k: 5}. What is prob of picking 4 m?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r*v**3 - 2*r*v**2 + 6*r + v**3 - 14 with respect to v.\nAnswer: -12*r*v**2 - 4*r*v + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1880 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*x + 14625*x = -1190*x + 57468 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-130)*55\/(-2). Let y = -0.75 - -0.55. Which is the third smallest value? (a) -6 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:21 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (110 - -14) + 11 + 0. Calculate the highest common divisor of 480 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14842850 rounded to the nearest one hundred thousand?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83\/(-1660))\/(5\/875).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 9 + 9 + 7*p**3 + 2*p - 3*p as q*p**2 + w*p + x*p**3 + b and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-1312)\/96. Solve -a*v + 45 + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*p**5 - 52*p**5 + 22*p - 141*p**5 - 155*p**5 - 171*p**5 wrt p.\nAnswer: -9060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + -17)\/6*(-58 + -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**2))\/u*u**(-3))\/((u*u*u**(-2\/3)*u)\/u)**(-22) assuming u is positive.\nAnswer: u**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -140*o**2 - 32*o**2 - 2*o + 2*o. Let s(b) = b**2 - 3. Let c(z) = 10*z**2 - 33. Let u(k) = -2*c(k) + 22*s(k). Calculate m(u(r)).\nAnswer: -688*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 + z - 2. Let g be p(-2). Is 9 a factor of (-20)\/(4\/g) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69 + -3d4?\nAnswer: -36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.4 + 7. Let n = 2 - 1.6. Let j = n - z. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-2)\/5. Let h(a) = -a**3 + 3*a**2 + 4*a + 3. Let b be h(4). Let y = b - 4. Is p > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.57. Suppose -2*v - 4 = -16. Let x be (5 + 1)\/((-45)\/v). What is the nearest to -1 in y, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 1094\/7. Let l = 1 + 1. Suppose o - 17 = 5*f, -3*f = 2*o + 4 + 14. Which is the nearest to w? (a) l (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 0, -3\/2, 8 in descending order.\nAnswer: 8, 0, -0.4, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 317 + 7*t - 24*t - 309 + 653127*t**2. Let j be (-16)\/10*-2*(-65)\/(-26). Let v be d(j). What is v rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.069 + -30.931. Let r = 141 + d. Let c = -110.000055 + r. Round c to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/7, -82\/13, -7?\nAnswer: -82\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000110010 - 101?\nAnswer: 10100000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 223034?\nAnswer: 223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -j + 2, 2*a - 4*a - 7 = -5*j. Let h be 3 - -5 - 2\/j. Is 6 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1268, -2541, -3816, -5093, -6372, -7653?\nAnswer: -8936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1717.3?\nAnswer: 343.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 48 = 4*m, a = -2*m + 6*a - 38. Let h(y) = -y**2 - 8*y + 13. Let i be h(m). Solve -4*k + w = 5, i*k = -2*w - 3 + 13 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-12)*249\/(-166)*4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)\/(t*t\/t**20*t))**(-33) assuming t is positive.\nAnswer: t**(-3729\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-3)*(-70)\/175\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w**(-6\/11)\/w)**(-47) assuming w is positive.\nAnswer: w**(282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from awrrswgsagaargi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 - 2732*y\/9 - 932978\/9.\nAnswer: -2*(y + 683)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84170311 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.63 + 0.63. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690055.7ml to litres.\nAnswer: 690.0557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.5348 rounded to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4198 - -4878. What is the highest common divisor of 238 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 146 (c) -267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.09 - -12.\nAnswer: -68.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -k + 3*b, 277*b - 278*b = -5*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 19*y - 3. Let u be a(-5). Let s = 108 + u. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/2*(-1032)\/(-430) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -0.3 (b) 2\/19 (c) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.479791 or -60\/13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, 93, -1 in decreasing order.\nAnswer: 93, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 172.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 + 82256*v**3\/5 + 329013*v**2\/5 + 411262*v\/5 + 164504\/5 = 0. Calculate v.\nAnswer: -82252, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 3*u**2 - 9*u + 1. Let w(h) = -10*h**3 - 10*h**2 - 32*h + 4. Let r(p) = 14*n(p) - 4*w(p). Calculate r(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {z: 4, j: 2, t: 1, d: 1, q: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 19 + 35)*(-8 + 16 + 12)*(-1 + 1 - 2*x).\nAnswer: 1200*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14333 - -11707. Is 105 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at most 3730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 26*o**3 + 6*o**2 + 17*o + 23. Let w(l) = -9*l**3 - 2*l**2 - 6*l - 8. Let t(u) = -4*a(u) - 11*w(u). What is the second derivative of t(h) wrt h?\nAnswer: -30*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 1. Let y be w(-2). Suppose -66 = 8*v - y*v. Let g = v + 34. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:02 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -3*t - 35*v + 15, 3*t = 2*v + 19. Solve t*o + 54 = -0*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*-2*(-1)\/2. Let q be n + 2\/(-10)*32. Let p = 249\/35 + q. Sort 3, p, 4\/9 in ascending order.\nAnswer: p, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in 0.2, -4639, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -3\/5, -0.1, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 564 (b) 1\/14 (c) -12 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*z + 22*z - 66*z.\nAnswer: -133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - 2*z**2)*(0*z**2 - 6*z**2 - 2*z**2 + (-z + 0 + 0)*(z - 2*z + 0*z))*(-1 + 1 - 3*z).\nAnswer: 42*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((124\/248)\/((-2)\/(-20)))\/(34\/4).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4243*c**3*m**3 - 670*c**3*m**2 + 10*c*m**3 + 90*c*m**2 wrt m.\nAnswer: 25458*c**3 + 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - d - 8*d**3 - 19 + d.\nAnswer: -2*d**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 2*a. Let p be 135509\/(-180620) - (-4)\/a. Let m = p + 1\/4105. Calculate the common denominator of 13\/22 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2952, -115, -5 in increasing order.\nAnswer: -115, -5, 2952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217262\/15 + -14491. Let q = 31\/5 + r. Let u = -1.9 - -1.4. What is the second smallest value in -1\/7, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28941 = 121*s - 110*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w = 33*w - 648. Let p = 339 - w. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*w**(2\/5)\/w)\/w)\/w*w)**25\/((w\/((w\/(w*w**0))\/w*w*w))\/w)**(-26))\/((w**(-1))**(-32))**(-11) assuming w is positive.\nAnswer: w**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from {l: 1, j: 1, w: 7, q: 7, z: 2}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 177*v - 39172. Determine z(121).\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 200?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -0.2331.\nAnswer: -5.2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g + 0 + 1\/60*g**5 + 7*g**2 + 3\/2*g**3 + 1\/8*g**4 + 1\/12*g**6. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(1225) - sqrt(1225))\/(-2*sqrt(847)).\nAnswer: 10*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12306 divided by 586?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100800.9 centuries to decades.\nAnswer: 1008009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.3. Let l = 5.09 - 0.09. Suppose -3*r = 25*x - 30*x - 9, 3*r = 4*x + 6. Which is the closest to -1\/4? (a) l (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*a - 2*a - 5*a)*(-2*a + 2*a**2 - 2*a**2 + 2*a**2) to the form d*a**3 + m*a + h + j*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.234 and 0.0099.\nAnswer: -0.2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177542, 177560, 177588, 177626, 177674, 177732?\nAnswer: 177800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 100006.7776 to the nearest 10.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let x(h) be the third derivative of -29*h**4\/12 - 28*h**2 + h. Determine b(x(n)).\nAnswer: -6728*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3\/83 (c) 1\/3 (d) -6\/571 (e) 3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 3 + (-4 + 0 + 3)*(3 - 3 - 1))*(12412050 + 10641*r**2 - 12412050) in the form a*r**2 + y*r + k and give a.\nAnswer: -31923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 40*g + 1256. Determine q(45).\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 + 511. Let q = p + 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026641 divided by -5159.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22*b + 105. Let u be 13*(-15)\/(-1560) - ((-410)\/(-16))\/5. Calculate h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8210289 by 3.\nAnswer: -2736763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3*t**5\/5 - 5*t**4\/4 + 177*t**2\/2 + 91. Find the second derivative of g(w) wrt w.\nAnswer: 36*w**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21108.492328 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + 0.8. Let z = 228.2 - 228. Let t = 0.195 + 3.805. What is the third smallest value in t, z, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4949*y. Let d(p) = 6*p**2. Give d(z(f)).\nAnswer: 146955606*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340\/477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42525\/4 - 10631. Let f = 1 + -1.2. What is the closest to f in -5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 313073052.\nAnswer: -1\/78268263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(98) + -1)**2 - (sqrt(98) - 4*(-1 + sqrt(98))))*-4.\nAnswer: -368 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + w - q, w + 12 = 3*q. Suppose w = -3*g - 0*g. Let h = -18851 + 18849. Which is the closest to g? (a) h (b) 5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1347*z - 1347*z + 1 + 10*z**3 + z**2 to the form w*z**3 + b + c*z + o*z**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191171887 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127947449 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - 20242?\nAnswer: -20402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-6)\/(-4). Let s be 2 - 0 - (t + 39). What is the remainder when 5 is divided by s\/(-21) + (-2)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-4) + -1 + 1. Suppose 4*h + 3*l = 40, -h - 2*l + 9 + z = 0. Let j be ((-1)\/3)\/(h\/12). Sort 4, j, 0.2 in descending order.\nAnswer: 4, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2 = -h, -4*h + 131 = -5*x + 214 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuubuubuuuuuubuuuub. Give prob of sequence uuub.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 1149720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4. Let o = 11 + -10. Let s = k - o. Put s, -3, 2 in decreasing order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 343194*w + 686380 = 0. What is w?\nAnswer: 2, 171595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:16 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5 (b) -521 (c) 6 (d) -2\/3 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42946 is divided by 118.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43263 (base 7) to base 6.\nAnswer: 121520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 3. Let w(b) = -b**2 + 9*b - 7. Let t be w(1). Let g(r) be the third derivative of -r**4\/24 - r**3\/6 + 59*r**2. Give t*v(m) + 2*g(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 56*v - 82 + 8, 39*v - 23*v + 99 = -5*p + 14*v for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (330\/8)\/(-3*5\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.351594 - 16.389\nAnswer: -17.740594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1779\/4, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 89*q + 568. Let j(y) = -192*y - 1135. Let v(x) = 4*j(x) + 7*z(x). Differentiate v(c) wrt c.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.52904 and -5?\nAnswer: 2.47096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 55 (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*p + 18432 = -185*p - 144*p - 86*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - o - 6 = 0, 3*o - 12 = 0. Suppose h - 149 = -2*z, h - 5*z = c*h - 596. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4315359 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 4*g**2 + 4*g**2 + (0*g**2 + g**2 + g**2)*(0*g + g + 0*g) + 46 - 7*g**3 - 46 - 3 + 3 - g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27868 - 154*p - 27868 - 170*p - 39*p.\nAnswer: -363*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 2*w. Let d(g) = -g**3 - 11*g**2 - 13*g - 5. Let r(b) = -d(b) + 6*v(b). Suppose -7*o = 32 + 3. Determine r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 16*d**2 + 15*d + 12. Give r(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkekerkkggeg. Give prob of sequence egrk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653137*l**3 - 5*l + 0*l + 637634*l**3 + 5*l.\nAnswer: 1290771*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = 5*o + 49. Let g = -56 + o. Calculate the remainder when 62 is divided by g\/9*(-12)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 316566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -62472 <= -62471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:18 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25058, 45949, 66842, 87737, 108634?\nAnswer: 129533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.09, 4, -2\/247, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2302*s**2 - 574*s - 3541120 wrt s?\nAnswer: 4604*s - 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414503671 a multiple of 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10288*b**2 + 355*b**3 - 10290*b**2 - 3 + 163*b**3 to the form s + p*b + x*b**3 + m*b**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -17*z + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - i = -5*i + 8, -5*i = 5*m + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 6*s - 6*s)*(34 + 24 - 16)*(-2 + 0 + 3).\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 63\/(-30) + 2254\/(-460). What is the nearest to 0.1 in 1\/3, 1\/2, -0.78, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66625 (base 13) to base 10.\nAnswer: 185593","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) - (sqrt(275) - (sqrt(275) + 2))) + sqrt(275) + -2)*5 + (2*sqrt(44) + sqrt(66)\/(sqrt(12)\/sqrt(2)))*-2)**2.\nAnswer: 46475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*w + 2*t + 2*t, 0 = -3*w + t + 10. Suppose 4*p - w*p = 8. Suppose -3*i + i + p = 0. Solve n + x = 6*x - 23, i*x - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203231525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = -43*m + 590. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1702*c. Let m(r) = 50*r. What is 69*m(g) + 2*t(g)?\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1604 + 1601. Let o = -0.4 - -0.3. Put 2, h, 1, o in descending order.\nAnswer: 2, 1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -36, -49, -64?\n\"Answer: -s**2 - 8*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 + 0*p**3)*(-5*p + 2*p + 0*p)*(0*p + 3*p - 2*p) + (3 - 3 + p)*(-5*p**3 + 4*p**4 + 5*p**3).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/6 - 43*s**2 - 9629*s\/6 - 1562 = 0. What is s?\nAnswer: -213, -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s + 23*s + 44*s**3 - 171 + 65*s**3 - 30*s in the form n*s**2 + l*s + h + w*s**3 and give h.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7567720 divided by -189193.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/345)\/((377384\/(-35))\/46)?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2135 - 631. Calculate the greatest common factor of 32 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28216 - 28217. Is h bigger than -2\/8411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Let c(s) be the second derivative of -2\/9*s**3 + 2\/15*s**5 + 0 - 3*s + 1\/6*s**4 - 4\/45*s**6 - 1\/3*s**g. Determine a, given that c(a) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -380689*q**3\/4 - 63508427*q**2\/4 + 2781324*q - 121743.\nAnswer: -(q + 167)*(617*q - 54)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let j be c(3). Suppose -w = -f - 6*w - 14, j*f = 4*w + 34. Let u = 187 + -184. Calculate the greatest common divisor of f and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3967, 157\/4, 1.\nAnswer: -2\/3967, 1, 157\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4153507 (base 9) to base 14.\nAnswer: 41b18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 2, 1\/8, 5, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.8 + 2.8. Let w = b + 9. Let u = 799 + -801. Is u at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7185.997 - -7209. Let p = b - 23. Let a = 0.003062 - p. Round a to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*d**3 + 5*d**2 + 4 wrt d?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -2*y, -3*b + 3*y = b + 15. Let f = 672 + -666. Suppose -f*m + 5 + 7 = b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5 + 20. Let d(x) be the second derivative of -x**4\/12 - x**3\/6 + 2*x**2 + 124*x. What is d(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = -11*o + 23 + 6, -2*z + 24 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 51806*k**2 - 12021*k**2 - 11503*k**2.\nAnswer: -75330*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 320, 657, 1104, 1655, 2304?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*i - 210 = 0, -24*i + 19*i - 20 = 0. Suppose -n*c = -21742 - 42516. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26 - -1)*(-28)\/140. Solve -6*r + a = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*m**2 + 7*m**2 + 0*m + m)*(11 + 8 - 9) to the form n + d*m + i*m**2 and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -562635 (base 7) to base 14\nAnswer: -28355","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.733688 kilograms to nanograms.\nAnswer: 6733688000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1367 and -0.01.\nAnswer: 0.001367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 2*u**2 + 181. What is j(0)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, v: 3, j: 2, z: 1, w: 2, g: 4}. Give prob of picking 1 g and 1 z.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from {e: 1, f: 1, z: 3, m: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37065.81406 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -4\/3, -1\/2, 550, 0, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:55 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 115. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 185098857*a + 492068868 wrt a?\nAnswer: 185098857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 - -0.15?\nAnswer: -316.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768\/960*(-75)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -1807?\nAnswer: 1807.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 885?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 119 - 1351 = 0. Are k and -61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:59 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14556*v + 9792 = 14862*v for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(14\/21). What is the common denominator of -32\/3 and c + -2 + 5\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1)*-2*2. Suppose 2*s - s + j = 0. Let c = 1.83 - 2.83. What is the closest to c in s, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -453, -917, -1381, -1845, -2309?\n\"Answer: -464*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.7? (a) 2 (b) 0.5 (c) 1.8 (d) -2 (e) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16913260489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 2*c + 5*c. Let w(l) = -2*l**2 + l**2 + 2*l**2 - 2*l**2. Let d(t) = 6*t**2. Let j(i) = -6*d(i) - 39*w(i). What is j(q(r))?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*30012026.\nAnswer: -15006013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 45\/(-10) - 11\/14. Let r = -2\/1783 + -32084\/8915. Let s = -59\/15 - r. Put s, t, 3.2, 0.2 in decreasing order.\nAnswer: 3.2, 0.2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)*i)\/(i\/i**(-8)))\/(i*i\/i**(3\/7))**40 assuming i is positive.\nAnswer: i**(-2983\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6357.166 weeks to microseconds.\nAnswer: 3844813996800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 26349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/4)\/(((-36)\/23696)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288)*1 - sqrt(288))*6 + -3 + ((sqrt(288) + 2)*5 - sqrt(288)) + 3)**2.\nAnswer: 1200*sqrt(2) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 1. Let a(f) = -f**4 + 4*f**3 - 3. Let j(r) = -a(r) - 3*h(r). Solve j(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.71 - -13.7. Which is the second smallest value? (a) u (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310303*r**2 + 298578*r**2 - 134561*r**2.\nAnswer: 474320*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 363*v - 5 + 8 to l*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -0.29. Let a = -68 - -341\/5. Let x = -3 - -2. What is the third biggest value in a, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 574494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 5*i - 2. Let j(u) = u**2 - u + 1. Let v(k) = -k - 11. Let c be v(-12). What is c*o(q) + 4*j(q)?\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j + 1. Let l(q) = 2*q**3 + 7*q - 5. Give -6*c(t) - l(t).\nAnswer: 4*t**3 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 - 4*o + 120. Let s be r(9). What is the greatest common divisor of 87 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -2, 1 in ascending order.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-5\/4)\/j)\/j*j*j**37)**(-1\/33) assuming j is positive.\nAnswer: j**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and (-64)\/144 + (-188)\/(-18).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62290184 and 76615.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*l + 4 = -p, 0 = -p - l. What is the highest common factor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**3 + 6*k**2 - 6*k + 1. Let i(p) = -44*p**3 - 17*p**2 + 17*p - 3. Calculate -17*f(z) - 6*i(z).\nAnswer: 9*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2909, 2908, 2907, 2906, 2905, 2904?\n\"Answer: -q + 2910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let k be t(-3). Let -15*p + 5*p**2 + 15*p**3 - 10 + 16*p**4 - p**k - 9*p**4 - p**4 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/8)*v**(-10))\/(v\/((v\/v**(-12)*v)\/v)*v**(-3)))**3 assuming v is positive.\nAnswer: v**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6704.5 + 6707.1953. Let g = v + -2.537. Let x = g - 0.15. What is x rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/7))\/l**(-10)*(l**12*l)\/l**(-4) assuming l is positive.\nAnswer: l**(197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 47248288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 8.2. Let f = y - -9.2. Suppose -2*x = 2*x - 4. What is the nearest to f in 0.3, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:17 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51017653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19565 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + -148. Let v = c - -161.9. Suppose -2*l = -2*k + 12, -5*k + 26 = -0*l - l. What is the third biggest value in -0.2, l, 3, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68384165929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -22. What is the remainder when 32 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 10*l**2 - l - 8. Let n(c) = c. Let a(d) = -2*n(d) - p(d). What is the units digit of a(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a**2 + 0*a + 5*a**2 + 4*a - 3. Let j(s) = -s**3 - s**2 - s. Let u be j(-1). Let b(t) = -t + 1. Calculate u*w(q) + 3*b(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564 - -19. Let o = 583.0772 - s. What is o rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-9))\/(7 + (-57)\/9). Suppose 3*u - 4*r - 24 - 14 = 0, -5*u + 55 = -5*r. What is the tens digit of 28\/a*u\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and 1.58.\nAnswer: -0.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 440449 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, and 1 g when three letters picked without replacement from {g: 1, j: 1, t: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*q**2 - 68*q**2 - 70*q**2 + 2 + q)*(-1 + 1 - 2*q).\nAnswer: 84*q**3 - 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45297572 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1095*h**3 + 6*h**2 + 6*h + 4041. Let r(b) = -1097*b**3 + 7*b**2 + 7*b + 4043. Let i(v) = -6*r(v) + 7*z(v). Differentiate i(o) wrt o.\nAnswer: -3249*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 2*s**3 - 6*s + 5*s - s + 24 to w*s + t*s**2 + a*s**3 + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 7*k. Let a(i) = -3*i**2. What is a(m(t))?\nAnswer: -48*t**4 - 168*t**3 - 147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.07, 0.25, 38, -189?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*a + 230*a + 5130 = -2424 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/12*f**5 + 1\/4*f**4 + 0*f + 1\/120*f**6 + 0 - 16*f**2 + 4\/3*f**3. Let m be g(-4). Solve -w - 1 + 6 = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24570 and 810.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g)\/(g*g**(2\/9)))\/(g**1*(g\/(g\/(g**1*g)*g)*g)\/g*g) assuming g is positive.\nAnswer: g**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8765.1428 to the nearest one hundred.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*b**4\/13 - 358*b**3\/13 + 372*b**2\/13 + 1322*b\/13 + 716\/13 = 0 for b.\nAnswer: -179\/62, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -6\/11 (b) 0.01 (c) 0.8 (d) -1425 (e) 0.5 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 5*q - 4. Let v(l) = 6*l**2 - 10*l - 8. Let h(o) = 5*t(o) - 3*v(o). Determine h(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19248\/5, 3\/5, -0.16, 4 in descending order.\nAnswer: 19248\/5, 4, 3\/5, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*b + 20, b - 11 - 5 = -4*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17472)\/(-364)*(-1)\/((-3)\/(-2))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 394, 916, 1666, 2656, 3898?\n\"Answer: 2*d**3 + 96*d**2 + 4*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*g + 11 = 0, -h = -4*h - 2*g. Suppose 25 = 7*w - h*w. Let i = -0.6 + 4.6. Which is the third smallest value? (a) i (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96097 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.211 + 20.789. Let t = 27 - u. Let g = -3 + 2. Sort g, 3\/7, t in descending order.\nAnswer: t, 3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0 + 1\/60*a**5 + 11*a**2 + 3\/2*a**3 - 1\/24*a**4 + 0*a. What are the prime factors of r(7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2875.\nAnswer: 8625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63017.14 meters to micrometers.\nAnswer: 63017140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z. Suppose 2*j - 4 = -z*j. Let n be 2\/42 - 14\/(-49). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 3\/8*i**2 - 144*i - 3\/40*i**5 + 0 + 0*i**4 - 1\/40*i**6 + 1\/4*i**3. Find g such that v(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466822, 466820, 466818, 466816, 466814, 466812?\nAnswer: 466810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.439 - -1.42. Let y = 0.0189949 + z. Round y to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89784 divided by -36?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 12*z + 2. Let f be w(-5). What is the greatest common factor of 75 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x, -4*x = -5*u + 10. Suppose -5 = u*k - 11. What is the highest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42\/(-28)*40\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068035 rounded to four dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-4)\/(-5) + 17\/35. Put b, -0.2, -5 in ascending order.\nAnswer: -5, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/6 + 2*w - 1\/6*w**2.\nAnswer: -(w - 13)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22396069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaax when four letters picked without replacement from {a: 5, x: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*r - 92, r - 3*r = 3*s - 308. Let d be s\/(-70) + 1 + 0. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36223 (base 7) to base 12\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14157942 to the nearest integer?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/23605?\nAnswer: -4\/23605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 23?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -66 - (-1 + 4) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let s be (-6)\/2*4\/6. Which is bigger: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q**3 + 6*q**2 - 8*q + 3. Calculate a(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 27*m + 24.\nAnswer: 3*(m - 8)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 60*k**2 - 162*k**2 + 50*k**2 + 0 + 1 + 51*k**2.\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-84)*(-3 - 5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2\/7, -10\/11.\nAnswer: -1, -10\/11, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/100)\/((-7068)\/15390) and -16\/45?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485891105 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10945 + 10812.708. Let i = v + 0.292. Let q = i + 109.2. Round q to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 2. Let m be u(3). Let t = -6 - m. What is the greatest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 8*j - 7. Suppose 4*p = 5*i - 42, 29 = 2*i - 4*p + 5. Suppose -1 = v + i. Determine t(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3425 = -3443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 379467.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 402, 389, 360, 309, 230, 117, -36?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/5))**(-18))**(-1\/4)*((a**(-10)*a)\/a**9)**(1\/77) assuming a is positive.\nAnswer: a**(1989\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(45) + -2 - sqrt(45))) + sqrt(5) + sqrt(15)\/sqrt(27))*3 - (sqrt(15) - (-1*sqrt(90))\/sqrt(6))\/(2*sqrt(108) + sqrt(3)).\nAnswer: 6 + 89*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - g)*(-1 - 2 + 0)*(g**3 - 2*g**3 - 6*g**3).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 1 + sqrt(192))*1)**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 4*p + 2. Let a be d(4). Let m(q) = q**3 - 4*q**2. Let w be m(4). Factor 2\/3*i**a - 2\/3 + w*i.\nAnswer: 2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 2 + (-3 + 4 - 2)*(1 + 4 - 4))*((0*c - 3*c + 5*c)*(2 - 2 + c) + 5*c**2 + 11*c - 200840 + 200840) to j*c + f + a*c**2 and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5209368, -5209436, -5209504?\nAnswer: -5209572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10560 divided by 8\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a30f (base 16) in base 9?\nAnswer: 512762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/(-120) - 3\/(-5). Let m = 53 + -52.9. What is the second biggest value in 0, o, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*n = -2*y - 82, 109 = 3*y - 4*n. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/120 - i**5\/12 - i**4\/24 + 5*i**3\/6 + 29*i**2 - 4. Factor n(p).\nAnswer: (p - 5)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17611*g**3 + 281915*g**2 wrt g.\nAnswer: -105666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.127*-26\nAnswer: -3.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -406 + 591. What is the highest common divisor of 74 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**3 + 2*o**2 + 3*o - 4. Let q(j) = -482 + 489 + 63*j**3 - 5*j - 75*j**3 - 4*j**2. Calculate -3*q(t) - 5*v(t).\nAnswer: 6*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 553*g**2 - 32*g + 20. Let z(c) = 69*c**2 - 4*c + 3. Let n(t) = -2*b(t) + 17*z(t). Let q = 8 - 13. Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 0.5, -0.004?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271.7 + -208. Let d = f - 64. Put -0.4, -0.1, d, 80 in decreasing order.\nAnswer: 80, -0.1, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75292889 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1060*o + 1. Let d(c) = 529*c + 1. Calculate -5*d(y) + 3*p(y).\nAnswer: 535*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*1725\/(-124200).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*g + 5*t, 5*t + 6 - 1 = -5*g. Let o(k) = k**3 - k**2 + k - 11. Calculate o(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 7*i - 11. Calculate m(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-1)\/9)\/(4\/12). Let u(w) = -23*w + 10. Let x be u(v). What is the greatest common factor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*p**2 - 99*p?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 13) in base 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 70. Is (((-14)\/c)\/(-7))\/(1\/2733) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 0\/3. Let m = 1.2 + -1. Let y be -1*(-21 + 23 - 0\/(-2)). What is the third biggest value in y, m, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.021, 7\/8, 1\/8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5836816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/(-1*2\/1). Suppose -4\/3*f**3 - 2\/3*f**4 - b*f**2 + 0 + 0*f = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766942 != 4766946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 868 = 0. Let x = -206 + a. Is (-4)\/(-18) - x\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 + 312. Suppose -2*i + v = -159. What are the prime factors of i?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 15. Let m be u(-4). Is m at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 24, 43, 66?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (85\/(-1))\/(-5). Find k such that -8 - o*k - 8*k**3 + 28*k**3 + 2*k**2 - 9*k**2 + 15*k**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4199397218 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 834 - 838. Let a = -255\/11 - -1389\/77. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/52*4*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045877533 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-12 + (5 - 41)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 7*i. Let l(n) = n**2 + 16*n + 56. Let v be l(-10). Let r be x(v). Calculate the highest common divisor of 300 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681658063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679735403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 + 6*z + 8. Let l be a(8). Let s be (1\/2)\/((-2)\/l). Suppose -2\/7*g**4 + 0 - 8\/7*g**3 - 8\/7*g**s + 0*g = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(128)*-6))\/(2*(sqrt(3) - 1*sqrt(300) - (sqrt(432)*-1 - sqrt(432)))))**2.\nAnswer: 1\/64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-1\/13)\/(k**1\/(k**(-3\/2)\/k)) assuming k is positive.\nAnswer: k**(-459\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 249?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119794, -119922, -120136, -120436, -120822?\n\"Answer: -43*s**2 + s - 119752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -136620 (base 7) to base 13\nAnswer: -c00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:29 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965.4781 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 - 326*v**4 + 22016*v**3 + 738080*v**2 + 5846016*v + 8921088 = 0. Calculate v.\nAnswer: -12, -2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130758 is divided by 26147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**3 + 2*a**2 - 565*a - 6. Let f(p) = -10*p**3 - 3*p**2 + 564*p + 9. Let o(u) = -2*f(u) - 3*h(u). Find the second derivative of o(s) wrt s.\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uquuququuuuuqu. Give prob of picking 4 q.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153158 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 7. Let l(q) be the second derivative of 2*q**3\/3 + 4*q**2 + 2*q + 69. Suppose 4*o + 20 = -0*o. What is o*b(z) + 4*l(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - (3 + -1)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 52. Let h = p - -16. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17448 + 3123 - 3483 = -8*w. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.018612?\nAnswer: -3.018612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/3))\/(-15 + (-10191)\/(-688))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(-12*(1001\/(-112))\/(-11)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 2994 = 23*p. Let u = 2466 - p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 12*d - 72. What is the remainder when 75 is divided by j(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 + 9048*d**3\/5 - 2059282*d**2\/5 + 1141932*d - 3254416\/5 = 0?\nAnswer: 4\/5, 2, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*n - 265 + 143 = -1262. Solve 5*a - 2*t = 3 + n, -a - 19 = 5*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (1 + -4) - 1. Suppose 5*p - 69 - 26 = l. What is the remainder when 37 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + 37. Suppose m = 6*m - f. What is the tens digit of 6\/m - 89\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75 + -4bd?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2669 - -502. List the prime factors of r.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + -1.08. Let f = a - -1.3. Let o = -0.208 + f. What is o rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*y = 0, 4*p + 19 = -y + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10*(-9)\/(-12))\/((-6)\/8). Solve 2 = z*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*v - 10. Let k be 123\/9 + v*6\/(-9). Solve 5*w - k = -3*j, 3*j = -0*j + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.69836204 and -57.1.\nAnswer: -55.40163796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + (1 + sqrt(1620) - sqrt(1620)) + 4 - sqrt(1620)) + sqrt(1620) + 3 + sqrt(1620) + -2)**2.\nAnswer: 432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8, -a - 503*r = -498*r - 8. Solve 16*u + 114 - a = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 - 140 - (7 + -5 - 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 2.3. What is the third smallest value in 4, -10, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-6)\/(-2520))\/(18\/(-162)*21\/(-14))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5712 and 8400.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 110*f - 2. Let l be p(2). Let v = 107 + -104. Suppose -l = -v*h + 133. What is the highest common divisor of 39 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14614, 29017, 43012, 56395, 68962, 80509?\n\"Answer: -34*p**3 + 14641*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.8 - 42.9. Let y = 3.1 + u. Which is smaller: y or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(102)\/(sqrt(6)*2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i - 14*i**2 - 41*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16735405*u**2 - 8570533 wrt u.\nAnswer: 33470810*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20919049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/70)\/(-11)*60*-7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**5 + 0*z**2 + 0*z**4 + 0*z + 65\/3*z**3 + 0*z**6 + 28 - 33\/7*z**7. What is the third derivative of u(x) wrt x?\nAnswer: -3960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10632, -42512, -95646, -170034, -265676?\n\"Answer: -10627*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 12*p - 14. Let c be s(-10). Let d(q) = q + q - c*q. Let x(g) be the third derivative of g**4\/12 - 8*g**2. Give x(d(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 846763230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1247218 weeks in hours?\nAnswer: 20.9532624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246224978.\nAnswer: 2, 83, 1483283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - 1\/(-6). Let q = -6 + 11. Let j = q - 0. Sort b, j, 0.1 in ascending order.\nAnswer: b, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvwwvvvvvvllvvvvv. What is prob of picking 1 v and 2 l?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 7, 2, -7 in descending order.\nAnswer: 7, 4, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -5, -18, -37?\n\"Answer: -3*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 68 = -l + 2*w, -3*l + 4*w + 40 = 0. Let i = l + -7. What is the remainder when 44 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/10)\/((-39)\/390)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26478900 and 100872?\nAnswer: 52957800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -19*m - 16 - 72 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 8*c. Let q = 325 - 317. Put c, q, 2, 4 in descending order.\nAnswer: q, 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2192*s - 2192*s + 24*s**2.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 4. Let g be t(3). Suppose 0 = 4*m - g*j - 738, 0*m + 4*m - 740 = 4*j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(2 + sqrt(200))*5.\nAnswer: 40 + 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10171 + -9560. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 3*l**2 + 2*l - 3. Does 2 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(4\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let d(l) = -575*l. Determine v(d(i)).\nAnswer: 575*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -459*a + 2295. Let i be h(5). What is l in 2\/7*l**2 + i - 6\/7*l = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/4, 3, 0.044, 2\/7 in descending order.\nAnswer: 3, 5\/4, 2\/7, 0.044, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3023*h**2 + 3019*h**2 - 6044*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1405 - 1453. Find the common denominator of 12\/163 and c.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-5)*n\/n**(4\/3))\/(n**(-2\/11)\/((n\/n**(-4))\/n)))\/((((n*n**(4\/5))\/n)\/n*n*n**(1\/4))\/(n*n*n**(-2\/3)*n)**(-43)) assuming n is positive.\nAnswer: n**(-60413\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 186*f**2 + 79*f + 10204. What is i(94)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**3 - 4*n**3 + 13*n**3 + 15*n**2 + 5 - n**3 - 21*n. What is the hundreds digit of a(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 308.4 and 45571.\nAnswer: 45879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/90 - q**5\/60 + q**3\/3 + 2*q**2. Let d(r) be the first derivative of t(r). What is the second derivative of d(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-3360))\/((-52)\/51792).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*g - 68 + 428 = 0, -2*w = g - 168. What is the remainder when w is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**5\/60 + u**4\/12 - u**3\/6 - 5*u**2\/2 + 4*u. Let f(g) be the first derivative of y(g). Factor f(d).\nAnswer: -(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*1 + 1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -55. Let y = 60 - 12. Suppose 3*i - y = 3*h - 2*h, -2*h - 66 = -4*i. What is the greatest common factor of i and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15896*q + 15275?\nAnswer: -15896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*f, 3*c = -f + 6*f - 6. Suppose f*o - 24 = 21. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**4\/24 + n**3\/3 + 2*n**2. Let u be q(-2). Suppose u*c + 4*c = 52. What is the highest common factor of 104 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 2*v**2 - 4*v**2 + v**4 + 4*v**2 - 2*v**3 as l*v**4 + o*v + z*v**3 + g*v**2 + p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 - 10747781.\nAnswer: -10747819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111110 (base 2) to base 3\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11550 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: Express -2*j**2 + 3*j**2 - 6*j**2 + (-3 + 1 + 0)*(0*j**2 + 2*j**2 - 4*j**2) + (3*j - 1 + 1)*(14*j + 35*j + 8*j) in the form r*j + o + d*j**2 and give d.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413 by -4.\nAnswer: 413\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 32, -4331, -1.\nAnswer: -4331, -1, -0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11977*s - 922234. Give q(77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(112)\/sqrt(112))\/((sqrt(64)*2)\/sqrt(8)) + (sqrt(288) + -1 - sqrt(288) - sqrt(288)) + sqrt(14)\/(-4*sqrt(7))))**2.\nAnswer: 388*sqrt(2) + 9441\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*i**2 + 42*i**2 - 313*i**2 + 245*i**2 - 374*i**2.\nAnswer: -959*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14)\/(13\/390)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860 by 6.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6882*g - 206460. Calculate i(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12464*t + 198*t**2 - 12464*t + 0.\nAnswer: 198*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/91128 and -23\/793896.\nAnswer: 3014423112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -646 or -3169\/18?\nAnswer: -3169\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 2*d + 0*d - 11*d + 33*d + 45*d + (-d + 3*d + d)*(2 + 0 - 3).\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27576, -27644, -27712?\nAnswer: -27780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = j + 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -937 and 30.\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/10*-15*(12 - 6\/(-3)). Sort u, 3, -7 in descending order.\nAnswer: u, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14732\/1957 or 8?\nAnswer: 14732\/1957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 147591721453620.\nAnswer: -147591721453616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 6*r - 0*r. Suppose -j - 5*j = -r. Solve -5*q + j*q = 3*w + 9, -3*w + 16 = 2*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 12, y: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 5}. Give prob of picking 2 e and 1 a.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.254 + -0.046. Let p(s) = -s + 5. Let o be p(8). Which is the nearest to 1? (a) -1 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3306483052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 600 + 590 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23891 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a + 10 - 27*a + 69*a**2 - 24 + 13 + 50*a.\nAnswer: 69*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-989)\/(-2208)*-12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 not equal to 4847\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(459) + sqrt(459))\/(sqrt(144)*5))\/((sqrt(147) + (sqrt(147) + (sqrt(147) - sqrt(147)*1) + sqrt(147))*1)*-1).\nAnswer: sqrt(17)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*k + 184 + 240 = 0, -2*w = 2*k - 194. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180.4? (a) 0 (b) 2\/5 (c) 2.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/60 + p**4\/4 - p**3\/6 + p**2. Let i be 4\/(-8)*-2 - 21. Let q = 25 + i. Determine b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (17 - (48 - 45))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28012034.\nAnswer: 2, 31, 37, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 - 9*r - 17. Determine l(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -306*m + 1303. Let v be y(4). What is the greatest common factor of 8137 and v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(10\/7)*w)\/w*w)**27*w**29*w*w**22 assuming w is positive.\nAnswer: w**(661\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7*(-15)\/(-30). What is the third smallest value in 0.3, -1\/9, 3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n + 103. Let r be v(15). Let h(y) = -y**3 - 16*y**2 - 11*y - 33. What is the units digit of h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116285671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s + s)*(-23 - 39 - 17) + (-2 + 1 - 1)*(2*s - 5*s + 4*s) - 5 + 5 - 4*s in the form a*s + v and give a.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:29 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -79645, -79560, -79475?\n\"Answer: 85*s - 79730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: -149 * 1\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + u + 28 = 6*u, -5*a + 5*u - 10 = 0. Suppose -a = -5*p + 7. Find the first derivative of 2 + 2 + l**p + 0 - 2*l**2 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3397, -3401, -3405, -3409?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 85. Let u = t + 55. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*o + 3*y, 0 = -o - 25*y + 24*y + 20. What is the remainder when 3309 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*j - 109*j**3 - 61*j + 2 - 3*j**2 + 3*j**2 + 3*j**2.\nAnswer: -109*j**3 + 3*j**2 + 260*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, 3\/5, -0.3, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1932933, 3865885, 5798853, 7731837, 9664837, 11597853?\nAnswer: 13530885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10036.9 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 485.261 + -485. Let u = -0.039 - n. Which is the closest to 2? (a) 3 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 34391?\nAnswer: 34390.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9887*t**3 - 18*t**2 - t + 3 wrt t.\nAnswer: -59322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by -66.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:17 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13597374 is divided by 3399202?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0 + 1\/2*g**4 + 0*g**3 + 7*g**2 - 19*g. Find the first derivative of y(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**15*i*(i*i*i\/(i\/(i**7\/i)))\/i*i*i)\/(i*i*(i**(2\/19)\/i)\/i*i**(-2\/65)*i) assuming i is positive.\nAnswer: i**(-6267\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125 - 7206\/54)*-9.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/11)*p)\/p)\/(p\/p**2)*(p**(-1))**38 assuming p is positive.\nAnswer: p**(-394\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790847613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2 + 2 + 57\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462.988 times -0.4?\nAnswer: -585.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67428 + 120067. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*n - 44, 5*n - 124 = -0*n + o. Suppose 2*t - 5*t + n = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2105\/13 - 10473\/65. Solve 0 + 0*i**3 + z*i**4 + 0*i + 18\/5*i**5 + 0*i**2 = 0 for i.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239242587?\nAnswer: 11, 29, 263, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(5 - 0) + (-62 - -61). What is the greatest common factor of q and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133)*4 + sqrt(133)) - sqrt(133) - (sqrt(133) + -2*sqrt(133))*-6)\/(4*sqrt(175)*2 + (sqrt(175) - 2*(sqrt(175) + sqrt(175)*-2))).\nAnswer: -27*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*(-48)\/28080)\/(76\/(-40))?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12020705 + 12020115.98319. Let x = 589 + s. Round x to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5326175 and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 - (-24)\/5. Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538150 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -7 - 0. Put -1, -2\/9, s in decreasing order.\nAnswer: -2\/9, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -5, -56, -0.5 in descending order.\nAnswer: -0.24, -0.5, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -2. Suppose -5*r + l = -r - d, -4 = -4*r + 2*l. Sort 0, 4, r, -5 in ascending order.\nAnswer: -5, 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.39 + -0.39. Is j >= 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/(-24)*1321 + -2. Let i = -2522 + f. Calculate the common denominator of 119\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/7 + 1372074*t\/7 + 156882255123\/7 = 0. Calculate t.\nAnswer: -228679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 1408*k + 247808.\nAnswer: 2*(k + 352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3224 and 20560?\nAnswer: 8285680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 33\/9)*-51. Let d = h + -118. Find the third derivative of 239*n**4 - d*n**4 - 117*n**4 - 18*n**2 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 times 11\nAnswer: -7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w + 4. Let h be p(-4). Which is the closest to h? (a) -3 (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5*f**4\/4 + 31*f**2\/2 + 5*f. Differentiate a(o) wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 9*n**2 - 8*n + 23. Give i(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, d: 1, v: 1, m: 2, x: 1}. What is prob of picking 1 m and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1315255249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4007 + -35995\/9. Suppose -162 = 4*k + 2*y, 5*k = 5*y - 11 - 154. Calculate the common denominator of k and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -301, -444, -583?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34510*y**2 + 34460*y**2 - 14*y + 14*y - 12 - 68885*y**2.\nAnswer: 85*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - x = 2*h + 12, -x = -h. Let f be (-2 - -3) + h\/1. Let u(q) = q**3 - q**2 - q. Let o(w) = -2*w**3 + 3*w**2 + 2*w - 2. Calculate f*o(c) - 3*u(c).\nAnswer: -c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 + s**2 - 2. Let y(z) = 10*z**3 + 2*z**2 - z - 6. Let o(x) = 7*p(x) - 2*y(x). Suppose 2*g = 4*b + 2, 14 = -2*g - 0*b - 4*b. Give o(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/8 - 1049068*q + 2201087337248.\nAnswer: (q - 4196272)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express -73*i - 375*i + 117*i as b + u*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44524315 and 40476650?\nAnswer: 445243150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 75777, 0, -3.\nAnswer: -3, 0, 4, 75777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 180490588 - -3?\nAnswer: 18049058b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3676440241 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 68432140, 5 in descending order.\nAnswer: 68432140, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1.4, -0.08, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249919?\nAnswer: 3, 7, 71, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 + 7*v + 11. List the prime factors of d(10).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 27450*k + 29 = 27446*k, 2*k + 15 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**8)\/(z*z\/(z**0\/z))*(z*(z\/(z\/(z\/(z*z*z\/(z*z**3)))))\/z*z*z)**(-12) assuming z is positive.\nAnswer: z**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, 2\/31, 20, 0.4, 46, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -122, -168, -234, -326, -450, -612, -818?\n\"Answer: -k**3 - k**2 - 22*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:43 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -83. Calculate the greatest common factor of r and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 3, a: 1}. What is prob of sequence ta?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10 + (-26)\/10. Let m be (4\/24)\/((-8)\/(-84)) + q. Which is the closest to 0? (a) 1\/22 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 19*r - 9. Let p be z(-20). Let g = 51 - p. What is the remainder when 398 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -366774 + 366782, 0 = -2*q - 2*t - 14 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.195 times 26035\nAnswer: 5076.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/4)\/(-5))\/(268\/(-6432)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1276 (b) 2\/3 (c) -0.1 (d) 2 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2169.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40504, 40503, 40502?\nAnswer: 40501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 57 = -461. Let y = 301\/4 - o. Which is the smallest value? (a) -1\/7 (b) -0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p - 6*p + p**2 + 2 - 8*p + 0*p**2. Let b(f) = 11*f + 7. Let g(h) = 16*h + 10. Let s(t) = 7*b(t) - 5*g(t). Determine -5*s(o) - 3*z(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2. Let p(u) = 88*u - 1119995. Determine p(f(n)).\nAnswer: 88*n**2 - 1119995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9200 and -31\/706400?\nAnswer: 16247200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1422026706 divided by -237004451.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x - 3. Let y(q) = 4*q**2 - 6 - 5*q**2 + 1. Let k be y(0). Let d be j(k). Solve -d*f + 8 = -5*r + 33, 15 = -3*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/41918730 and 79\/20?\nAnswer: 83837460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*d = -415*d + 3375 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -0.1. Let r = w - 0. What is the nearest to -0.1 in -0.1, -3\/8, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2306196 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -3 (b) -16.9 (c) -21017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 divided by -51?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) -2\/143 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1028, 888, 664, 362, -12, -452, -952, -1506?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - ((-2)\/(-1))\/2. Let i(b) = 31*b**2 + 5*b - 16. Let t be i(-3). Suppose l*u + u = t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/13)*j**(-12\/5) assuming j is positive.\nAnswer: j**(-136\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/20)\/((-28)\/(-20))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/11584 and 53\/1726197.\nAnswer: 110476608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y\/y**(1\/5))))*y**(1\/3)*y)\/(y**0*y)**(1\/38) assuming y is positive.\nAnswer: y**(859\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*v**2 + 4*v**2 + 11*v**2.\nAnswer: 91*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 424 and -2?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 - 8. Let n = y + -255. Let d(b) = b + 1. Let f(i) = 5*i**3 + 4*i + 2. Give n*d(s) + f(s).\nAnswer: 5*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose t*r = 4*r - 70. Suppose -w - r = -6*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79456 - 15493799\/195. Let l = 3\/65 + d. Find p, given that l*p**3 + 5\/3*p**4 - 5\/3*p**2 + 0 - 2\/3*p = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -1, -2, -3 in descending order.\nAnswer: -1, -2, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 33*f**2 + 74*f - 10. Let n be d(-30). Let c = n + -462. Let a(z) = -3*z - 3. Calculate a(c).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 + 30*z**3 - 32*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 413340332 (base 5) in base 12?\nAnswer: 69b5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.6416142.\nAnswer: -0.25664568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 408763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -5*k + 3*x + 95, -4*k + 4*x + 136 = 0. What is the remainder when 93 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2. Let g(b) be the third derivative of -b**6\/60 - b**5\/15 - b**3\/2 + b**2 - 32. Calculate g(h) - 4*u(h).\nAnswer: 2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -32. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -47, 3, -3 in descending order.\nAnswer: 5, 3, 2, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 4. Let l(p) = -p**2 - 3*p + 5. Let q(n) = -6*n - 2. Let f be q(-2). Suppose -f - 2 = 4*d. Determine d*h(z) - 2*l(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005476 rounded to five decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 48*n**2 + 6*n - 94. List the prime factors of k(-13).\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 13*i + 42. Does 9 divide s(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -54\/5*g**2 + 1\/25*g**5 + 18\/5*g**3 + 0 - 127*g - 3\/5*g**4. Find j, given that t(j) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1825 divided by -2204\nAnswer: -1825\/2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 3*r - r**2)*(-1229 + 2536 + 997) to q*r + u*r**2 + v and give u.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -502*9\/(-24) + 9\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, e: 1, q: 1}. What is prob of sequence ggeq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14791354?\nAnswer: 2, 7395677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*u**6 + 3*u**3 - 71*u**2 wrt u?\nAnswer: 6360*u**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 29569.9 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*f = -29, 12827 = 50*j + 4*f + 14277 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -52. Let g = 15 + b. Is 14 a factor of (6 + -3)\/((-1)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 + a + 1. Let x be v(-2). Let o be ((-32)\/40)\/(x\/(-5)). Let n(k) = -2*k - 11. Let m be n(o). Put 5, 6, m in decreasing order.\nAnswer: 6, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - 39\/44. Let k be 2\/(-4) + 4\/((-704)\/(-124)). Let p = k - j. Find the common denominator of p and -4\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 5:33 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**7\/105 - 37*g**6\/120 - 13*g**5\/60 + 3*g**2 + 24*g. Find the third derivative of f(u) wrt u.\nAnswer: 48*u - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3420942 by 282.\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -209, -181, -131, -53, 59, 211, 409?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*c = 96*c + 21. What is the closest to 1 in 10, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 3*m + 24, -3*m = -6. Is j\/(-9)*3*-67 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q + 2. Let a(m) = 3*m + 1. Calculate -5*a(l) + 2*o(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -8)\/(1\/(-92)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 0*x**4 + 3*x**4)*(-4*x + 4*x + 2*x) + 6*x**3 - 6*x**3 - 3*x**5 + (0*x**2 + x**4 + 0*x**2)*(-8*x - 13*x + 350*x).\nAnswer: 330*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -80. Suppose 3*b - r*b + 9 = -z, 3*b + 3*z - 51 = 0. What is the second derivative of -b*a**5 + 17*a + 22*a**5 - 2*a**5 wrt a?\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 618985 times 18\nAnswer: 11141730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*v**3 - 46*g**2*v - g**2 - 2*g*v**3 + 14*v**3 - 11*v**2 + 8*v wrt g?\nAnswer: 2*v**3 - 92*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7122*u**4 + 2*u**3 + 3*u**2 - 7*u - 199?\nAnswer: -85464*u**2 + 12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/462 and -1\/981?\nAnswer: 151074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**3 + 15*m**2 - 24*m - 8. Determine f(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5302 is divided by 98.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*h + h + 2*h + h.\nAnswer: 8*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*x**4 - 7*x**3 - 20*x**2 + 130*x + 52926822?\nAnswer: 56*x**3 - 21*x**2 - 40*x + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3318\/11 - -302. Let g be (18\/(-132))\/(1\/(-4)). Find v, given that -g*v - 2\/11*v**2 - i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6\/7))**(-38))**25 assuming m is positive.\nAnswer: m**(5700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: c46 (base 16) to base 12\nAnswer: 199a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -11729*r**4\/12 - 2337*r**2 + 4948*r. What is the first derivative of w(c) wrt c?\nAnswer: -23458*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6301.\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62818, 62935, 63052, 63169?\n\"Answer: 117*k + 62701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4322 + -13?\nAnswer: 4305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/7*g - 34\/7*g**2 + 3\/7*g**3 + 0 = 0. What is g?\nAnswer: 0, 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.26 + 20. Let o = m + 1.26. Let h = 699\/7 - 100. What is the closest to -0.1 in -2\/3, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*j**2 + 1468540*j - 618336 = 0. Calculate j.\nAnswer: -77292, 8\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2280810 times -2\nAnswer: -4561620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573 - 573. Let u = 0.31 + 0.6. Let s = u - -0.09. Which is the closest to s? (a) -2\/7 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28*(2 + (-9)\/6). Let o = -9 + i. Solve -u + 5*r + 7 = 3*u, u = o*r - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51983481 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/322523 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -57. Let a be -2*b\/24 - (-14)\/(-6). Is (-1)\/a - (-667)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099002?\nAnswer: 2, 43, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppphqhphqphphpphhph. Give prob of sequence hhh.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -81.59?\nAnswer: 77.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10177634347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5\/(z**(13\/6)*z*z) assuming z is positive.\nAnswer: z**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w - 10. Let h(x) = 65*x - 27. Let y(z) = -4*h(z) + 11*r(z). Let k(i) = -3*i. Calculate k(y(g)).\nAnswer: 54*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i\/((i*(i**(1\/5)\/i*i)\/i)\/i)))*i**(-3\/4))**34 assuming i is positive.\nAnswer: i**(-323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 5\/4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 44. Let g be d(12). Suppose g + 27 = v. Calculate the remainder when (0 - 278\/4)*-2 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*w - 852 - 7069, -4*s = 4*w - 10568. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2\/13 + 753060\/2730.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-334266)\/4)\/(21\/154*-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357.133 - 357. Let g = 0.033 - k. What is the nearest to 0 in 4, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 - 2119 = -4*s. Let u = s - 318. Let x = u + -154. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -109, -94, -63, -10, 71?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/25 (b) -6 (c) 3\/79 (d) -3\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -96*q + 85*q. Let h = -1 - -27. Suppose 2 - h = -4*l. What is the smallest common multiple of l and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13.7. Let i = q + 0.6. Which is smaller: 4\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684903446.\nAnswer: 2, 17, 20144219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*v = 6*i - 17, 5*v + 13 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.00482622 take away -12?\nAnswer: -36.00482622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 2*k + k. Let h be 15\/30 + (-222)\/4. Let u = h + k. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v - 24. Let k be t(2). Suppose 2*z + 8 = 4*o, k*z = -3*o + 7 + 10. Calculate the lowest common multiple of z and 1\/(-1) + 2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/3 (b) -737 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 + -3309\/16. What is the common denominator of 3\/8 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 408967\/36284 + 11\/4\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:50 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 + n + 1. Let d be i(-2). Let y be (d - 10)*(1 + 0). Suppose 0 = -2*o + 35 + y. Calculate the highest common divisor of 120 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 + 88*q**2 - 428*q. Let i(u) = -2*u**3 - 30*u**2 + 143*u. Let m(n) = 11*i(n) + 4*t(n). What is the second derivative of m(d) wrt d?\nAnswer: 12*d + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - 140. Let f be (-20)\/r + 27102\/7. Let t = f - 34781\/9. What is the common denominator of 29\/4 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - a**2 + 6*a**2 + 12*a**2. Let u(p) = -p. Determine q(u(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {o: 1, a: 2, t: 2, z: 2, b: 1, y: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m**2 - 71*m - 303. What is the units digit of f(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24*l**3 + l**2 + l - 2. Let m = 5298 - 5297. What is f(m)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120002102 (base 4) in base 11?\nAnswer: -67a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.102 in 0.5, 4, -0.27, 0.9?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-7) - (-293)\/2051. Suppose 0 = 4*a - 2*a - 150. What is the greatest common divisor of t and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*j*t**3 + 3*j*t**2 + 273*t**3 wrt j.\nAnswer: 72*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 31610*d + 49959605.\nAnswer: 5*(d - 3161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/5)*o))**(-12)\/(o*o**(-2\/15))**(-48) assuming o is positive.\nAnswer: o**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 4*n + 6. Let y be v(3). Let b = y - 36. Let c(p) = p**2 + 5*p + 3. Let d be c(-5). Solve b*s = -d*j, -s - s + 5*j = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2145 + 1334250?\nAnswer: 1340435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - b + 21, -18*y + 20*y = 4*b - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.869007 * 0.127.\nAnswer: -0.110363889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 793 - -5108. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2507*r + 15445*r - 343539 = 4349*r - 4478*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 624, 618, 610, 600?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**2. Let i(c) = c - 2. Let g be i(2). Let z(d) be the second derivative of g*d**2 + 0*d**3 + 1\/12*d**4 + 0 - d. Determine a(z(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 4, n: 1, h: 2, g: 2, p: 2}. Give prob of sequence hyyt.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*m**2 + 86*m**3 - 85*m**3 + m**2 + 2*m**4 + m + 6*m as z*m**4 + j + y*m**3 + w*m**2 + v*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*h - 4*b, -8*h + 325315*b = 325313*b - 52 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/7 + (10\/20*-18 - -5). Let 4\/7*b**2 + 4\/7 - i*b**3 + 2*b = 0. Calculate b.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s + 0*s**3 + 1\/8*s**4 - 3 - 2*s**2. Let n(g) = -5*g**2. Give j(n(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16365 to three decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -710*u**4 - 235*u**3 + 3493219.\nAnswer: -2840*u**3 - 705*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t + 1. Suppose 6 = -2*b, a - 3*b - 15 = -2*a. Suppose 0 = 5*v - a*x + 17, 3 + 2 = 5*x. What is j(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*i + 3, 4 = 2*i - i - 5*f. Let u(t) = -9*t**3. Let a be u(i). Suppose 0 = -b - 2*o + a, 4*b + 5*o = b + 24. Solve -8 = b*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0) + (-436)\/520. Let b = -6\/13 + n. Find the common denominator of b and 50\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565, 5043, 17311, 41263, 80793, 139795?\nAnswer: 222163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-48)\/(-42) - 3\/21). Let t(b) = 149*b + 16. Let h(y) = 100*y + 11. Let v(c) = q*t(c) - 7*h(c). What is the first derivative of v(s) wrt s?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1253.66 + 1242. What is j rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*i - 18, 114*k - 26 = 4*i + 115*k for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27208 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, 80168.\nAnswer: -17, 5, 80168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Let j be k(-6). What is the remainder when 48 is divided by (-3)\/(-4) + 111\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.15 or 43436.9?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - 2*s**3\/5 - 64*s**2\/5 + 58*s - 45.\nAnswer: (s - 5)**2*(s - 1)*(s + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031 = 222*w + 4139 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -30. Find the second derivative of -12*m + v*m - 3*m - 14*m - 22*m**3 wrt m.\nAnswer: -132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (312\/(-30))\/(1\/(-15)) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -58. Suppose 6*q = q + n. Let h(d) = -16*d**2 + 26*d + 46. Let u(a) = -3*a**2 + 5*a + 9. Let v(b) = q*u(b) - 2*h(b). Calculate v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 4.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808413172?\nAnswer: 2, 7, 17, 242621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 6)*(-11 + 9 - 33 + (-1 + 3 + 0)*(-4 + 0 + 6))*(-8*h + h + 4*h + (-h + 3*h - 4*h)*(5 - 4 - 3)) in the form a*h + j and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13882913, -3, 9 in increasing order.\nAnswer: -3, 9, 13882913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - c = 15, t + 20 = 5*c. Let j = 4 - t. Does 5 divide j*19*(-1)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:53 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1550 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 + 9*r + 1. Let f be y(9). Let z be (-40)\/(-36) + (-2)\/(-9). Let x = z - 5\/6. Is f greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529\/150 - -121\/150. Which is the nearest to l? (a) 0.2 (b) 0.3 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 520449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = -38*k + 142 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-3) + -250 + 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + ((-2)\/3 - (-93284)\/(-9744)). Let q = b - 2\/203. Calculate the common denominator of 100\/(-6)*(-24)\/(-70) and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - (-2)\/56. Let f be (17\/5)\/((-7)\/392). Let b = -191 - f. Is v not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34923 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -14. What is the least common multiple of 4 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 0.23. Let f = x + 0.1. What is the second smallest value in 0.2, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-2)\/(6\/(-9)). Suppose 50 - 65 = 5*o. Sort o, 2, s in increasing order.\nAnswer: s, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x**2 + 3*x. Let p be 86\/(-30) + 2\/(-15). Calculate the remainder when 26 is divided by o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8116 divided by -4.\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010354 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -226b6 (base 12) to base 3\nAnswer: -2100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - n - 2. Let h be g(-6). Suppose -h*q + 3 = -9. Solve 0 = -y - 4 + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23757712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 3. Let w(i) = 14*i - 6. Let o(b) = 5*m(b) + 3*w(b). Let n(z) = 2*z**2 - z. Let u be n(1). Let k(t) = u + 0*t - 3*t + 2*t. Give -3*k(v) - o(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535594 is divided by 53558?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/5 - (-8)\/20. Let f be (-3)\/9 - k\/3. Let w = f + 38. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, m: 1, f: 1, s: 6, b: 5}. What is prob of sequence me?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c = 61*c + 123 + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 132813 = -l, -6*b + 9*b = -4*l + 79697. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4719\/198 - -26.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*k + 10*k + 3*k)*((8 - 1 - 2)*(-2 + 4 - 3) + 0 - 6 + 3) to the form n + q*k and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13528, 13529, 13530?\nAnswer: 13531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246 + 248. Suppose 2*g + 20 = 3*l + w*l, 5*l - g = 15. Solve 0 = -l*j + 5*j + 2*h, -h = 4*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239312176 divided by 4.\nAnswer: -59828044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 8. Suppose 4*w = -11 - 21. Let q be n(w). Suppose 3*h + 1 - 7 = q. Let a(u) = -u**2 - 1. Give a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/520?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174387 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 7:56 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316 - -160. Let m = 253 + z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12665 and -12679 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682248 is divided by 2665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (-7448)\/(-342) - 12?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301861542 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 2*s**4 + 5*s)*(5 - 1 + 2)*(0 - 8 + 1) to the form b*s + a*s**3 + o*s**4 + n*s**2 + x and give o.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.59 + -2. Let w = 0.09 - g. Let o be 2\/6*3\/2. Which is the nearest to o? (a) 0.2 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -78.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20867*i**5 - 6180*i**3 - 2481*i**2 - 8604.\nAnswer: -1252020*i**2 - 37080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 12. Let m be x(-5). Suppose -130 = -3*l - 4*f, 3*l + 3*f = m + 119. Let w(b) = 2*b + 3. Calculate the remainder when l is divided by w(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 36*a + 2 - 37*a + (2 + 5 - 2)*(-4*a + a + 4*a) - 3*a + 0*a + a in the form x*a + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4588 is divided by 177.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r + 68*r + 44*r + (2 - 5 + 4)*(25*r - 5*r + 6*r) as a*r + y and give a.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (63 - 17 - 31)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 591.3 - 618. Let o = 27 + h. Let k = 5 + -5.4. Which is the biggest value? (a) -1 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4078*t + 1477. What are the prime factors of p(4)?\nAnswer: 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-3\/5))\/j)**(15\/2))**(-16))**(2\/27) assuming j is positive.\nAnswer: j**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + d - 3. Let g be p(3). Let m be (-2)\/(-4) + g\/(-12). What is the first derivative of 3 - 2*q**2 - 5*q**4 + m*q**4 + 2*q**2 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k + h = -3141, 0 = -5*k + 2*h + 7852. Calculate the highest common divisor of k and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 - 11*u**4\/12 + u**3\/3 - 6*u**2 - 33*u. Let t be n(11). Solve -2*h + t = -2*y, -5*y - 2*h - 18 = -0*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkkxxxkxkxxxkxxkkxg. Give prob of picking 3 x and 1 g.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/96394 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/250 + -493\/1750. What is the fifth biggest value in -1, -6\/5, q, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 - i - 9 + 9)*(i**2 + i**2 + 0*i**2) to the form q*i**4 + f*i**2 + c*i**3 + n*i + w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Sort 2, x, -2, 4 in descending order.\nAnswer: x, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -1\/6*w**4 + 2\/9*w**3 - 1\/9*w**2 + 0 + 9*w. Suppose v(m) = 0. Calculate m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*n - 84803, 5*o - 2*n - 50075 = 55937. What are the prime factors of o?\nAnswer: 2, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98991829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -15712*k - 1948283. Calculate l(-124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 3*y - y in the form o*y + s and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 35*r - 18. Let g(m) = 2. Let w(d) = d - 12. Let t(n) = -6*g(n) - w(n). Determine o(t(b)).\nAnswer: -35*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21\/21*(0 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157743354?\nAnswer: 2, 3, 29, 307, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 250*a**2 + 109*a - 35619. Calculate c(-251).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 11. Let m be x(5). Suppose -5*d + 3*i - 15 = -39, 0 = -3*d - 4*i + m. What is the smallest common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzszpszmzmzzmsmzzsp. What is prob of sequence pmz?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + 123.4. Let x = 116 - s. What is the third smallest value in -110, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101101011001011001 (base 2) to base 9\nAnswer: 752586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 34. Let x be 40\/6 - i\/60. What is the greatest common factor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7408 + -7113. What is the highest common divisor of 195 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 0.3, 1.15 in descending order.\nAnswer: 1.15, 0.3, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 30462, -1, 2 in decreasing order.\nAnswer: 30462, 8, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -311 in 53, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1641264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiizzzizz. What is prob of sequence izzz?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(162) + (-1*sqrt(162)*2)**2 + -3.\nAnswer: 9*sqrt(2) + 647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tut when three letters picked without replacement from qtfzuttttffq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*p - 28 - 64 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f - 188 = 0. Let h be 0\/((-540)\/(-27) - 19). Sort 4, h, f.\nAnswer: f, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/15 - 10\/(-75)*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z - 125*z - 81*z + 482*z - 96*z.\nAnswer: 71*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 129\/346?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*r + 90 = 0. Suppose r = -a + 12. Suppose 3*o + a*o = 0. Solve 4*c - 5*c = o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 + 1199*f**3\/2 - 367067*f**2\/2 + 4571437*f\/2 = 0 for f.\nAnswer: 0, 13, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -50*w**5\/7 + 29080*w**4\/7 + 280984*w**3 + 653852*w**2 + 1595690*w\/7 + 151748\/7 = 0.\nAnswer: -59, -2, -1\/5, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3145825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 284 + 13*k**2 - 570 + 286 - 3*k in the form c + x*k + f*k**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n + 10. Let j be c(-8). Let l = -6 + j. Suppose -9 = -3*v + 4*m, -l*v = 4*m + 1 - 13. Solve v*z - 3 - 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:34 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 20*l + 1258. Let i be l\/(-11) - 6\/(-22). Let y be ((-2)\/3)\/(2\/(-3)). Solve y = -5*k + 3*u, i*u + 21 = -3*k + 2*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 - -471. Let h be (2\/(-3))\/(44\/12). What is the nearest to 0 in w, 0.07, h?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 31. Let l = m + -32.052. What is l rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkqnn. What is prob of sequence qk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 11*h**2 + 13*h + 17. Let y be i(-12). Solve 12 = -y*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -u + 5*u - 5, -5*u = 2*m - 10. Let n(r) = r**2 - 8*r + 5. Let s be n(7). Let i be 78\/(-4)*s\/3. Solve -x - 4*z - i = u, 2*x + 2*z - 1 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-7 + 4 - 0). Sort d, 2, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -53. Suppose -x - i*v + 11 = 0, 18 = -0*x + 3*x + 4*v. Solve x*u - 34 = 5*t - 15, 3*u = 5*t + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/414*(-9)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4470 and 45?\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 + 7*y - 6. Suppose 0 = -13*b + 12*b - 6. Calculate h(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 34*c + 3. Let b(l) = -3*l**2 - 36*l + 2. Determine -3*b(a) + 2*k(a).\nAnswer: 3*a**2 + 40*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out -10730 * -88.\nAnswer: 944240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-3)\/sqrt(5) - (1 + sqrt(1700) + 0)**2.\nAnswer: -1701 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 547284420*z + 24960019697894700 = 0. What is z?\nAnswer: 91214070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/45 and -41\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1238687 or 1238689?\nAnswer: 1238689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = -3*r, -3*r - 2*r - 4*g + 27 = 0. Suppose -r*l = -3*u + 33, -u = u + 2. List the prime factors of (-1696)\/(-28) + l\/(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22950 - -23251.21. What is a rounded to zero dps?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/20)\/((-9)\/(-30)). Let y be -1*(-6 - -3 - -6). Let p = 5 + y. Solve 4*z - p*d - 4 = 10, 0 = 3*z - 2*d - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1277051*n - 1277142*n = -4641 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:04 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4550016 kilograms to grams.\nAnswer: 455.0016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**5 + x**4 - 21378*x**3 - 2*x**2 - 53338307*x wrt x.\nAnswer: -240*x**2 + 24*x - 128268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222326*q**2 + 245394?\nAnswer: 444652*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -673.73 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -190801*s**2 - 19*s - 7. Let b be g(-9). Let y = b - -40054717. Round y to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4246.03 - -4246. Let j be (2\/3)\/((-8)\/(-6)). What is the closest to j in -0.4, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - t + 2*t)*(-152469*t**2 - 165132*t**2 + 297990*t**2 + (t - 2 + 2)*(1 + t - 1)) as l + b*t**3 + a*t**2 + z*t and give b.\nAnswer: 19610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/10 + z**4\/8 + z**3\/6 + 65*z**2 + 2*z + 22. Let d(p) be the first derivative of x(p). Calculate d(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(350)*2*6)\/(sqrt(7) - sqrt(112)*-5))**2.\nAnswer: -80*sqrt(2)\/7 + 996\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 4. Suppose 24 = 2*u + 2*u. What is the lowest common multiple of z(-6) and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + r + 518 = -27, 725 = -4*b - 3*r. Let l = b + 1016. Suppose -4*k - 318 = -l. Round k to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*s**3*v - 3*s**3 + 2*s**2*v - 3*s**2 + 3*s*v + 7*s - 2*v - 2 wrt s.\nAnswer: -114*s*v - 18*s + 4*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + (sqrt(19) + -3*sqrt(19) - sqrt(19)) + sqrt(19) + 1 - (sqrt(190)\/(sqrt(40)\/sqrt(4)*4))**2)*-6.\nAnswer: -39\/8 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3244 = 7*m - 2321. What are the prime factors of m?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23688 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*f = -15, 0 = 5*q + 4*f + 70 - 79 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1230, 2443, 3632, 4797, 5938, 7055?\n\"Answer: -12*p**2 + 1249*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 592\/1332 + 374\/9. Solve -355 = 29*s + z*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13257000 rounded to the nearest one hundred thousand?\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, e: 2, g: 9}. What is prob of picking 2 h and 2 g?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45764?\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632392*i**2*y**3 - 18*i**2*y**2 - 174943*i**2*y - 5*i**2 + i*y + 2*y wrt y?\nAnswer: -3794352*i**2*y - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11327 - -11275.99. Let j = 51 + q. Let h = j - 0.49. Which is the closest to -1\/2? (a) 1 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 18. Let h be x(-14). Let m = -17 - h. What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1071933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33658 (base 10) in base 4?\nAnswer: 20031322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -13, 3, 6.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -61. Let v be (3\/(-9))\/((h\/15)\/(-8)). Solve v*j = -3*r + 3 - 4, 0 = -2*r - 3*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d**2 - 8*d + 2. Let q be n(-8). Let l(h) be the first derivative of q + h - 1\/2*h**2. Find the first derivative of l(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178\/(-420) + (-2520)\/(-7425) + (-16)\/(-264).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4\/2 - s**3\/3 + 25*s**2. Determine c(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -1.4 (b) 2 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039, 8256, 27847, 65998, 128895?\nAnswer: 222724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 + -341. Let x be (-23 + 21)*(-10)\/h. Suppose 7*f + 4*n = 3*f + 4, -f + 2*n - 8 = 0. Put 2, x, f, 18 in descending order.\nAnswer: 18, 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-18) + (-2 - -3)\/(2\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06510011 to four decimal places.\nAnswer: -0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 35. Let b be s(15). Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8079945?\nAnswer: 3, 5, 193, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-5)\/(-45)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.938 - -3.897915. Let d = o + 0.007582. Let k = -0.0333 - d. Round k to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2627*n + 449*n**2 + 2902*n - 5530*n.\nAnswer: 449*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -567030334947 from -0.2.\nAnswer: 567030334946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 7*j**6\/150 + 9*j**5\/100 + j**4\/30 + 6*j. Factor r(z).\nAnswer: z**2*(z + 1)*(7*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 15*g**2 - 42. Let u be p(-7). Solve 7*h = -u + 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 783*x**2 - 29849*x + 152. Calculate d(-35).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 3}. Give prob of picking 2 j and 1 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (526\/(-2104))\/((-1)\/(0 - 68)). Let r(g) = 3*g + 25. Calculate r(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.046833 - 0.653507. Let q = h - -0.71. Round q to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k + 21. Let y(m) = 2*m - 7. Let s(p) = 14*y(p) + 4*z(p). Give s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -378. Let g = w - -167.00000512. Round g to seven decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -38.33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*((-32)\/(-10))\/(-4). Suppose 0 = 2*k - 8, -3*a + 52 = -0*a - y*k. Calculate the least common multiple of a and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.6 - 14.6. Sort 0, -1, x in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.051*-65\nAnswer: 3.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-124 - (4 - 1)) + -1. Let d = -83 - i. What is the highest common factor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 166134*i**2\/7 + 5318336*i\/7.\nAnswer: -2*i*(i - 83099)*(i + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -14*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**4\/2 - 10*a**3\/3 + 7*a**2\/2 + a + 43. Is j(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 2. Let b(a) = -a**3 - 2*a**2 - 3*a + 3. Let c be b(-3). Let m = c - 15. Suppose -q - m = q. Determine g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 844800 divided by 6\nAnswer: 140800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.485 + -73. Round x to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162.983 times 0.1\nAnswer: 16.2983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 19 (c) 10 (d) 351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 4. Suppose -2*o - z = -7, 10*z - 12*z = 5*o - 17. What is the remainder when b(o) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let s be f(0). Suppose t - 17 = -w - w, s = 5*w - 3*t - 15. Let y be w + -4 + (-14)\/8. What is the closest to -1 in 2\/15, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 8*g**2 + 7*g + 4. Let h be w(7). Let j = 0 + h. Suppose -193 = -5*q + j*a, 0 = 3*a - 0*a + 6. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 - 8*i - 4. Let u(s) = -6*s**2 - 9*s - 4. Suppose -14 = 2*r - 4. Let c(q) = r*t(q) + 4*u(q). What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + 8*w**3 - w**3 - 2*w + 2*w**2 - 5*w**2 - 8*w**3 - 3 as c*w + i*w**4 + p*w**2 + d + h*w**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:46 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 - 22 = 0. Suppose -w = -g*s - 3*w + 434, 0 = 3*s + w - 260. What is the third derivative of -2*p**3 + 86 - s + 4*p**2 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5 - 15. Suppose -3 = 4*b - b. Sort b, x, -3 in ascending order.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*a - 2 = -94*a. Let o(c) = -2*c**2 - 2*c - 2. Let g be o(-2). Let k be 3\/(g\/(-8) - 1). Is a bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 625351.9 millilitres?\nAnswer: 625.3519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100411985 to the power of 1\/2, to the nearest integer?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 16*s - 16. Let v be i(-9). What is the tens digit of 2112\/20 + -3 + v\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57203, -114524, -171845?\nAnswer: -229166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193.12 + -187. Let p = -6 + c. Let q = p - 0.119962. Round q to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Suppose s = -3*s + 12. What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 82.68645 hours?\nAnswer: 0.49218125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r = -67703 + 65932 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95037173347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.3. Let f = 0 + -4. Let m = 0 + f. Which is the second smallest value? (a) m (b) h (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**2 - 5\/3*n**3 - n**5 + 0 + 25\/12*n**4 - 15*n + 1\/6*n**6. Factor g(c).\nAnswer: 5*c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 3. Let f(i) = -3. Let u(a) = 5*b(a) - 6*f(a). Suppose w = -2*w + 36. Calculate the remainder when u(4) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9957*x**3 + 1115*x + 10813598 wrt x?\nAnswer: 29871*x**2 + 1115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1 - 3*h - h**2 + 3*h. Let w(o) = -3*o**3 + 4*o**2 + o + 4. Let m(t) = 4*i(t) + w(t). Find the second derivative of m(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43*(-110 + 53 - -58)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 45*p**2 - 305*p + 52. Let n be w(-51). Put n, 4, 25 in descending order.\nAnswer: 25, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161\/15010 - -2\/395. Let c = f - -6347\/1140. What is the common denominator of c and 81\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144952.99 rounded to the nearest 10?\nAnswer: 144950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007998*20.\nAnswer: 0.15996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33*u**2. Let q(c) = c**2 + 3*c + 4. Let a be q(-2). Let o(g) = g**2 + 8*g**a - 8*g**2. Calculate j(o(v)).\nAnswer: -33*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Let m = 118 - 114. Which is the second biggest value? (a) u (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -71.47. Let s = y + -0.57. What is s rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2. Let s(d) = -2*d**2 - 38*d - 133. Let g be s(-14). Let h be (-16)\/6*(-9)\/4. Let c(u) = h*u - 11*u + g*u. Give n(c(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 114*v**2 + 15*v + 16. Is 17 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 2*m - m**2 - 2*m + 8*m**3 - 2*m**3 + 7*m**3 - 1. Determine w(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4002, 7964, 11878, 15744, 19562, 23332?\n\"Answer: -24*a**2 + 4034*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 258.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -1\/11, -4\/7 in decreasing order.\nAnswer: 0.3, -1\/11, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -602\/3 and -200 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -2 - -5) + (-28 - 19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -22*r**2 + 113*r - 9. Let n be o(5). Solve -3*b = -n - 6, -4*y + b = 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2054*((-30)\/(-12) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1168053 and 67.\nAnswer: -1167986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 10:25 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11*v - 4. Let o be w(10). Suppose 8*u - 10 = o*u. What is the third derivative of -3*i**u + 5*i**5 + i**5 - 5*i**2 wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + -1.28. Let b = 1.452 + r. Round b to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 - 3 = 0. Suppose 5 = 2*s + v. Solve s*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/48 and (-60)\/64*(-8)\/((-960)\/(-85)).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1053 != -1054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 19168391.\nAnswer: -13\/19168391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 + 4*q - 5. Give g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1961*a*p - 86*a*t**2 - 19*a*t - 1946*p*t**2 + 2*t**2 + 352*t wrt p?\nAnswer: 1961*a - 1946*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x + 80*x + 112. Sort 0.1, 1, -340, -3, x in decreasing order.\nAnswer: 1, 0.1, x, -3, -340","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.03359492 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a + -10?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 340 + 605 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1272*d**3 - 1513*d**3.\nAnswer: -241*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 31*p + 49 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11da4 (base 16) in base 2?\nAnswer: -10001110110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f + 77 - 107 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13239 = 14*m + 13155. Let q(y) = -y + 3*y + 4 + 4*y**2 + 2. Let o(g) = 5*g**2 + 3*g + 7. Determine m*q(x) - 5*o(x).\nAnswer: -x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6647, -13320, -19981, -26624, -33243, -39832, -46385?\n\"Answer: n**3 - 6680*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v + 12*v - 6*v)*(-4 + 2*v**2 + 4 + v) to a + r*v**2 + o*v**3 + g*v and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 1452*j - j**2 - 4 - 5*j**2.\nAnswer: -3*j**2 - 1452*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(833))**2 - ((sqrt(34)*-2)\/sqrt(2) + sqrt(85)\/sqrt(5)*-3)) + -1)*-4.\nAnswer: -20*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4873110 = -210*b + 5385180. What are the prime factors of b?\nAnswer: 3, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3443*l**2 - 1806?\nAnswer: 6886*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -8978217?\nAnswer: -8978213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - -2 - (-12 + 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 10*x**2 - 15*x + 96. What is s(7)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 972534.4 weeks?\nAnswer: 6807740.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0629189, -14, 38 in ascending order.\nAnswer: -14, -0.0629189, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.1 - 65. Which is greater: 33\/2 or b?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b. Suppose b*s = -3*s + 9. What is the derivative of -4*c**2 + 0*c**2 + s + c**2 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = -b, 5*y - 34 = -2*b. Suppose 5 = -h, -2*i - 4 = 2*i - 4*h. Let r(n) = -n - 2. Let o be r(i). Solve 0 = d - p, d + 2*p = y + o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2297080.8 milliseconds?\nAnswer: 38.28468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5 + 32*v**4\/5 + 168*v**3\/5 + 128*v**2\/5 - 16*v = 0.\nAnswer: -2, 0, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 + 9*q + 8. Let a be r(-6). Let k = 30 - a. Suppose 16 = -4*n + k. Let p(j) = -j**3 - 4*j**2 - 2*j + 1. What is p(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:51 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -62, -5, 83, -2 in decreasing order.\nAnswer: 83, -2, -4, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0 - 4. Suppose -1 = -q + c, -4*q + 26 = 3*y. Suppose -3*r = -y*r + 159. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p - 191*p - 66*p = 12753 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1972 - -2388. Let m = 56 + -43. What is the greatest common divisor of m and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 times 0.2?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -530034 - -3525?\nAnswer: -522105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -5, 5, 0.2, 2\/5 in ascending order.\nAnswer: -53, -5, 0.2, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 10*a**2 + 6*a + 36. Determine h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 10191, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16986 by -72.\nAnswer: -2831\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -6 - (-312)\/13. Solve -3*m = -5*c - 5*m + n, 4*m + 12 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {p: 4, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = -16*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (-54 - (6 - 11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/18922 or 1?\nAnswer: 1\/18922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -85828, -1.\nAnswer: -85828, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + 15 - 14 - -8) + 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 12\/(6 - 2). Solve -2*z - 2 + f = 5*k, -3*z - 3*k - 6 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 24810 + 24810.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*f**4 + 5*f**3 + 8*f**3 - 22*f**3 + 51 + 10*f**3 wrt f.\nAnswer: 76*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 39. Does 7 divide j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1402 divide 368220715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1373 = 1381 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 221.69?\nAnswer: 221.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.653. Let p = l - 0.04699983. What is p rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15413986 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2496.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a kilometer in meters?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4, 147.\nAnswer: 5\/4, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -151. Let s(j) = -67. Let i(l) = 9*s(l) - 4*y(l). Let a(x) = x + 7. What is -a(r) - 2*i(r)?\nAnswer: -r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -1*(1 + 1). Let q(s) = -6*s**3 - 2*s + 3. Let b(g) = 7*g**3 + g**2 + 3*g - 2. Let d(x) = 5*b(x) + 6*q(x). Determine d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 18. Let q = 79 + f. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 8 - (7 - 2)) + (33 - 20) - 47.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 q, and 1 a when three letters picked without replacement from {j: 1, t: 7, a: 2, q: 1, r: 2, y: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 17. Let z be c(6). Let u = -6 - z. Solve -3*l + 10 = -5*m - 2*l, 5*m + 10 = -u*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545455026 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-52 + -2 + (0 - 17) + -1816 + 1818)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**5 + 86020*b**4 + 687690*b**3 - 2579240*b**2 + 2751305*b - 945780 = 0.\nAnswer: -17196, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) 1.7 (c) -19 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269824783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p - 2*m, -p = -3*m. Solve p*f + 4 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (11 - -27) + -39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - 2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 - 5. Let p = 3 + -2.6. Let f = p + r. Is 0.1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2055571.\nAnswer: 7, 103, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237, -5, -3\/5, 3, 555 in increasing order.\nAnswer: -237, -5, -3\/5, 3, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 5)*(p - 2*p - p) + 4*p - 3*p - 2*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33130720 divided by -1183240\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 + 0 = 0. Let m = 25 - 24. What is the third biggest value in 0.1, p, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 3*x. Let h(n) = 3*n**3 + 5*n**2 + 4*n + 11. Let k(t) = t**3 + t**2 + t + 1. Let u(l) = h(l) - 4*k(l). What is the units digit of u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 9*r**2. Let w(t) = 3*t**3 + 26*t**2. Let m = -3 - 1. Let p be m\/(-1) + 5 + -3. Give p*w(u) - 17*k(u).\nAnswer: u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.66 + 31.6600002487. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7116328440?\nAnswer: 2, 3, 5, 13, 506861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*v - 27 = 0, -6*c + 5*c = -v + 3. What is the nearest to 0 in -2\/7, c, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**2 + 5. Let t be y(2). Let a = -22 + t. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.92 - -0.08. Let z = -107.924385 + 101.9244. Let h = s + z. What is h rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n = 118*n - 64*n. Let l(r) = r**3 - 8. Determine l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 20*f + 54 = 0, -1623*f - 66 = 4*q - 0*q - 1628*f for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 6:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from gxxqxgskxqkqll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {q: 3, d: 2, i: 4, w: 6, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.577108 rounded to 3 decimal places?\nAnswer: 25.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16931 + 28808. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/7 - -1)*(-6384)\/608. Let f = -2 - -2. Suppose -5*d + 3 = -f*v - 2*v, v = -5*d + 6. Sort 0, d, x in descending order.\nAnswer: x, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 not equal to -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45, -143, -241, -339?\n\"Answer: -98*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -10085.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**18)\/u))\/(u**0*u*u*u) assuming u is positive.\nAnswer: u**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-7) - 0 - 6\/21. Let q be (6\/y)\/(3 - (-1032)\/(-345)). Suppose -2*i + 159 = -q. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656.83 * -6839\nAnswer: 4492060.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + r - 18, -3*c + 0*r + 26 = r. Let m = c - -9. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10 + 0)\/((-3564)\/6600)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14509 = 5*l, -s - 22*l = -19*l - 7255. What are the prime factors of s?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 837 = -281. What are the prime factors of y?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 28*o**2 + 32*o + 102. Calculate the remainder when v(-3) is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 2, l: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -7*a. Let j(l) = -76*l**2 + 5 - 72*l**2 - 8*l**3 + 143*l**a + 1. Let m(u) = u**3 + u**2 - 1. Give j(o) + 5*m(o).\nAnswer: -3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*x + 118 + 49 + 12*x + 204 wrt x.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzz. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1053)*1)**2 + 1 + (sqrt(208) + 0 + 1 + sqrt(208) - (-5*sqrt(208)*-1 - sqrt(208)))**2.\nAnswer: -106*sqrt(13) + 1912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 518.061 grams?\nAnswer: 0.518061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 2)\/1788)\/(7\/28). Let o = 49\/149 + x. Which is the smallest value? (a) o (b) -5\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(-6 + 6 + 8*u)*(-4472 + 4472 - 17*u**3).\nAnswer: -680*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -12. Let o be 6\/(-9) - 70\/(-6). Let w = o + r. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.0085781 take away 15?\nAnswer: -40.0085781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 8, b: 5, g: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 0*t + 5*t - 3*t - 3*t + (3 + 1 - 3)*(-2*t + 3*t + t) + t + 0*t + 0*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 6454580.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 1078 + (24 - 24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 1. Let x(c) = c**3 + 2*c**2 - c - 3. Let g = -75 + 73. Let i be x(g). Let u be a(i). Solve 21 = -5*l + u*l + 4*b, -4*l + 4*b - 36 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 341 + -349 + (2 - (-2 - -19)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9103*n - 9116*n - 130 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 14*g**3 - 12*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315802.36 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 6*d**3 - 2*d)*(12 + 4 - 3)*(4 - 5 + 3)*(13 - 30 - 20) to the form n*d**2 + w*d**3 + h + y*d and give w.\nAnswer: 5772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17))**(13\/5)\/(((j\/j**(-8))\/j)\/(j\/(j\/(j**(4\/17)*j))*j)) assuming j is positive.\nAnswer: j**(-464\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/3 + 356*m**3\/3 + 19949*m**2\/3 - 20306*m\/3 = 0. What is m?\nAnswer: -286, -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1680)\/(-2058)*(-14)\/(-8)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 + -3321.7?\nAnswer: -3325.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 4\/(-10))\/((-364)\/455). Sort 0, 32, i, 25, 0.1 in ascending order.\nAnswer: i, 0, 0.1, 25, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796916 is divided by 66?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1156)\/18 + (-12)\/(-54) - 6. Let p be (d\/(-315))\/(2\/18). Solve -5*q + 4*l = -p*q + 15, 5*q + 5*l - 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*t + 106*t + 97*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o**2 + 13*o - 1\/3*o**3 - 2. What are the prime factors of f(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-6 + 3 + 2)*(-158673366 + 158673366 - 9851*l).\nAnswer: 9851*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 25 = -5*k. Let p = 35 - k. Suppose -r - y = -10, -2*r - p = -7*r - y. Solve -3*o + 2*s = 3, r*o = -2*s + 6*s - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000072837127 to 7 dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0540604 nanometers to kilometers.\nAnswer: 0.0000000000000540604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54110349 a multiple of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhrh when four letters picked without replacement from {h: 2, q: 3, w: 1, f: 1, r: 1, e: 11}?\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/24 - 19*c**3\/6 + c**2. Let k(z) be the first derivative of 2*z + 1151. Give -2*d(o) - 18*k(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 24\/151 (c) -2 (d) 5 (e) 1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdfdfdf. What is prob of picking 1 d and 2 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282857942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*p + 9, 4*w - p - 4 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.15061km to nanometers.\nAnswer: 34150610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m + 7\/24*m**4 + 0 - 1\/60*m**5 - m**2 - m**3. Calculate the remainder when 11 is divided by l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000311404 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 12 = -13*d. Let p(v) = -1 + 0 - 2*v + d*v + 12*v. Give p(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7210 - -7228. Solve 0 = 11*a - t*a - 49 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 32*w**2 - 64*w - 31. What is the tens digit of q(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/80 and -71\/22274?\nAnswer: 890960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/439924 and -55\/3052.\nAnswer: 3079468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l**3 + 991*l**2 + 198*l + 1007. Give a(71).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574559417 to the power of 1\/2, to the nearest integer?\nAnswer: 59788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138177.\nAnswer: 3, 13, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6575494.\nAnswer: 2, 3287747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -3. Find the second derivative of -3*w**2 + 3*w**2 - 3*w**3 + r*w - w**3 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -3*c**4\/2 - 14*c**3\/3 + 7*c**2 + 6*c + 8. Factor p(t).\nAnswer: -2*(t - 1)*(t + 3)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 49 + 13*v + 9*v - 34*v - 47*v - 4*v. Let p(t) = 4*t - 3. Give 6*m(j) + 98*p(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**15\/y)\/y)\/y**(2\/129))**(15\/11) assuming y is positive.\nAnswer: y**(8375\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - (5 - (-1 + -1)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 6*l**2 - 3*l + 2. Let y(z) = -2*z + 3. Let m be y(4). Determine o(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-2316)\/386*3\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.8535 rounded to the nearest integer?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 8. Let u be (3 + (-4 - -2))*(0 - q). Solve f + 10 + 0 = 5*t, -u = -f - 3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 4. Let y be l(0). Let b be -4 - (-32)\/12*3. Suppose b = -y*f + 28. Solve -f*q + 4*q = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 4. Let w be f(4). Suppose 5*x = -w*x + 10. Let c(o) = 0 + 5 - o - x. Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 15. Let u be w(-7). Suppose 4*r - 82 = c - u, -r + 28 = -5*c. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -269. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, 4707 in increasing order.\nAnswer: -4, -3, 3, 4707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 26, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*t**3 - 2 + 0 - 3*t**3 + 3*t**3 + 15*t**3 in the form a*t**3 + h*t + c + k*t**2 and give a.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0 - 31*p**2 + 0*p + 11\/6*p**3 + 7\/24*p**4. Let o(w) = 10*w + 16. Let r = -8 + 3. Calculate r*o(u) + 7*a(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1871*u - 1210. What is the thousands digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 0.4, 2.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -111110101000001 (base 2) to base 4\nAnswer: -13311001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -833 - -832.23. Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -501*n + 3075 - 3075 + 179*n in the form q + l*n and give l.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668614 or 668618?\nAnswer: 668614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*n - 33778 = -b, -3*b + 33788 = n. What are the prime factors of b?\nAnswer: 2, 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-1 - 3) - (-6 + -1)) + 6 + -47.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + sqrt(891) + sqrt(891) + 1 + -4)*4*2)**2*-5.\nAnswer: -1160960 + 92160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 18069*c**5 + c**3 + 351357*c**2?\nAnswer: -120*c**3 + 1084140*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -10, -2\/9, -17\/267, -0.1?\nAnswer: -17\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 8*w)*(-4*w**4 + 4*w**4 + w**4) + (3*w**2 - 3*w**2 + 2*w**2)*(0*w**3 + 0*w**3 - 2*w**3).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**3 - 57*b**2 + 608*b - 40. Is z(13) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65*(-99)\/(-1716))\/((1\/21)\/(48\/(-54))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10990786*l**2 + 9876878*l?\nAnswer: 21981572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 8. Let q = l - -5.1. Let v = 0.8 + -0.7. Are v and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11082428 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b + 5 - 140 = 0. Solve -4*c + c + 4*h = 3, -b*h = 2*c - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4806843 minutes in seconds?\nAnswer: 28.841058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**4 - b**3 - 13*b**2 + 3*b + 7. Let y(t) = 24*t**4 - 3*t**3 - 51*t**2 + 12*t + 27. Let o(q) = 9*f(q) - 2*y(q). Factor o(l).\nAnswer: 3*(l - 1)*(l + 1)**2*(2*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 83.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/350 and 47\/9650.\nAnswer: 67550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/((j\/(j*j**0))\/j)*j*j*j)\/j)\/j)\/(j**(-2\/15)\/j))**(-4\/19) assuming j is positive.\nAnswer: j**(-308\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 8:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 5*l**2 + 7. Let m(o) = -2*o**3 - 3*o**3 + 4 + 8*o**2 - 5*o**2 + 6*o**3. Let j(z) = 3*f(z) - 5*m(z). Differentiate j(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let a(y) = 6*y. Let i(m) = -67*m. Let s(x) = 66*a(x) + 6*i(x). Give s(b(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/42 - 7*l**6\/15 - l**5\/5 + 69*l**4\/2 + 135*l**3\/2 - 992*l. Let p(y) = 0. Calculate y.\nAnswer: -9, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39599\/6 + 31\/186.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 2*h**2 - 20*h - 10. What is j(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/20*12*455\/(-392))\/(3\/8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 - 11*c + 16. Give f(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 47*w + 2166. Determine l(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22230\/7 < 3175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)**(-40))**(-4\/13))**(-13) assuming f is positive.\nAnswer: f**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 11. Let h be m(13). Suppose 5*w - h*j - 10 - 4 = 0, -w = -5*j + 11. Suppose -6*p = -4*p - 20. Calculate the remainder when p is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 18 + g - g + 6.\nAnswer: g + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/11)*q*q**(1\/2)\/q*q)**37)**(4\/3))**27 assuming q is positive.\nAnswer: q**(23310\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b - 20. Let q be y(-8). Let c = -31 - q. Let k = c + 41. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w + 101 - 67 - 2*w**2 - 30.\nAnswer: -2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let t = 3631.63 + -3630.63. Let z = -3 - -3.1. Let y = z - -1.9. Which is the closest to t? (a) y (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {j: 2, v: 1, z: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 896569 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521722 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6951*s**3 + 16*s**2 + 23*s. Let n be v(-10). Let m = 2329630 + n. What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 p, and 1 v when four letters picked without replacement from bvprpejr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189233012 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 14) in base 13?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139338895 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + sqrt(11) + sqrt(396)*2)*4)**2.\nAnswer: -1664*sqrt(11) + 30004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304946?\nAnswer: 2, 17, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d + 6126 = 6470 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 22. Let c be h(-14). What is the common denominator of -73\/8 and (6\/160)\/(2\/(-5))*c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c + 2. Let r be m(3). Suppose 0 = -0*g - r*g. Let b(u) = -u**3 - u**2 + 35. Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/28 and -33\/169.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8\/5 (b) -3\/17 (c) 0.11 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. Let l = r + 4.1. Let t = -7 - -10. What is the second biggest value in l, t, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 5*z + 2. Let u be j(4). Let s = -5 - u. Find the third derivative of -a**2 + 0*a**5 - a**2 + a**s wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010021 - -2?\nAnswer: -1010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 75*n = 78*n + 20, 3*n = -12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*a**3 - 127*a**3 + 136*a - 134*a**3 - 129*a**3.\nAnswer: -6*a**3 + 136*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41547 divided by -41547.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = -1. Suppose 3*t = -2*p + 6745, p + 6720 = 3*t - w*p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:27 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**9\/432 + o**8\/105 + 11*o**7\/840 + o**6\/180 - 2*o**3\/3 + 2. Let f(j) be the third derivative of y(j). Factor f(t).\nAnswer: t**2*(t + 1)**2*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1469832 divided by 2\nAnswer: -734916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -1) + 216 + -237.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293*v**2*x**2 + 33*v**2 + 2726*v*x**3 + 790*v + 5 wrt x.\nAnswer: 586*v**2*x + 8178*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(-1\/17)\/((u*u**(-3\/7)\/u)\/(((u**(-1\/10)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-3319\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23370 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 1. Give c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.987 + -0.013. Let f = -8377.6 + 8378. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 354 + 52 = 3*a, 443 = 3*k - 2*a. Suppose 9*w - 8*w - k = 0. Calculate the remainder when w is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u + 1)*(-2*u**4 - 3 + 3 + (3 - u - 3)*(-16*u**3 - 13*u**3 - 16*u**3)).\nAnswer: 86*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20\/3, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m + 13. Let v(w) = 4*w + 24. Let g(r) = 6*r + 41. Let q(y) = -3*g(y) + 5*v(y). Let i(f) = 8*f + 1. Let s be i(1). Give s*q(u) + 2*k(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2946*g**2. Let r(s) = 14*s. Calculate m(r(z)).\nAnswer: 577416*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6022\/39 + -1236\/13. Let o = d + -60. Let n be (1\/(-4))\/(2\/(-8)). Put n, o, -5, -2\/7 in decreasing order.\nAnswer: n, -2\/7, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1901460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 435 + -400. What is the lowest common multiple of 40 and r?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.52 + 12279.536.\nAnswer: 12225.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 3\/(-2 - -3). Suppose -z*a - h + 40 = -a, 2*a - 5*h = 21. Suppose 0 = -a*x + 17*x - 236. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -613649526.\nAnswer: -613649525.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.85, 2, 2\/125, -1\/1070 in increasing order.\nAnswer: -1\/1070, 2\/125, 0.85, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-2*8\/24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*w - i, -34*w - 5*i = -39*w - 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52258)\/52470 - 3\/(-4 + 1). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 404 = 2*r - 280, -3*r + 1026 = 4*o. Let u(x) = 32*x**2 + 2*x - 1. Let v be u(2). Let g = r - v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104146153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = 3*s, -2*b - s - 4*s = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (-18)\/(12\/(-4)) + 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11659, -23274, -34889, -46504?\n\"Answer: -11615*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 2.4. Let y = -46334 + 46333.9. Which is the nearest to y? (a) u (b) -0.5 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*1)\/(sqrt(32)\/sqrt(64)) - (-3 + (sqrt(891) + sqrt(891)*-2 + sqrt(891))**2)*-4.\nAnswer: -4*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3 + 111\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81221769?\nAnswer: 3, 9024641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Suppose 3*h + b*x - 8 = -0*h, 2*h + 3*x - 6 = 0. Let r(z) = -z**2 + 5*z + 5. Let p be r(5). Sort -3, p, h in decreasing order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28014)\/580 - -48)*5\/9\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1096\/9 and -123 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607*r - 3150 = -443*r. Solve 1\/3*x**2 + 1\/6*x**r + 0 - 1\/2*x = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01704 and 21.3.\nAnswer: 21.28296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q - 9 = 82*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 37*z - 76. Let m be q(32). Calculate the highest common divisor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 + -4 - -10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-15))\/(-2*(-3)\/(-36)). Which is the closest to -1? (a) 0.5 (b) -2\/15 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -q + 5*i, 3*q - 3*i + 7*i - 92 = 0. Let u = -21 + q. Solve -2*t - 20 = -u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 401031 and 5022?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 3*h + 4 - h - 4 + (2 - 2 - 1)*(-24*h - 42*h - 3*h))*(3 + 0 - 1).\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 366*m + 2214.\nAnswer: -(m - 6)*(m + 738)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9758 and 7990.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 7*v**2 + 7*v - 37. Let u be t(7). Solve -u*x = -15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 2*z + 0*z)*(18 - 18 - 5*z) - 45*z + 45*z - 15*z**2 to the form j*z + y + u*z**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 1 + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8280 to the nearest 100.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34854 divided by 11618?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1950260859 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 102, 321, 756, 1479, 2562, 4077, 6096?\nAnswer: 8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*m + 24, 3*m + 20*v - 3 = 15*v for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 5, b: 5, c: 1, y: 4}. Give prob of sequence abb.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a*u**3 + 326*a*u + 476*u**3 + u**2 + 2 wrt a.\nAnswer: 4*u**3 + 326*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102203 + 2301?\nAnswer: -44402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1201192 by -600596.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/84*(-4725)\/(-50)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 751385 and 5.\nAnswer: 751385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-38) + (6926040\/285 - 29)?\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 238250328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30079.8 + -7\nAnswer: -30086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29295736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/3 + 3*m**2\/2 + 7*m. Let z be 0 + 1 - 2\/(-1). What is g(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -17*s. Let h(b) = -4*b. Let a be ((-9)\/8*2)\/(3\/(-8)). Let z(t) = a*u(t) - 26*h(t). Let f(m) = -18*m. What is z(f(x))?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471154076 is divided by 7391?\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -95606974 and 1.1.\nAnswer: -95606972.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/931 and 28\/9.\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 3, 51 in descending order.\nAnswer: 51, 12, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-77 - 10) - -39.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 482?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13054*x = 13055*x - 40 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/(-20) + (0 - -2). Is -1 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/8 - 2\/4. Suppose f - 7 = -o + 2, 4*o - 24 = -f. Let v be (f\/j)\/(286\/33). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 6*o + 4. Suppose -3*x = 18 + 3. Let s(l) = l. Let i be s(x). Give c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/21)\/(-6))\/(91*82\/89544)\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/8*s**2 - 225\/4*s + 50625\/8 = 0.\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d - 23 + 4 + 12. Let p be q(2). Suppose 0*j - 3*j = -9. Solve -25 = 4*v + 5*n, v + j*n + p = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j - 21. Let o(t) = -5*t + 8. Let k(g) = -4*g + 7. Let c(h) = 6*k(h) - 5*o(h). What is 21*c(x) + 2*s(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5757*n + 2000*n + 1967*n + 1522*n + 1402*n.\nAnswer: 1134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 1\/6*d**3 + 13\/2*d**2 - d + 0. Let x be t(-12). Is x > 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110120220022 - -10011?\nAnswer: -1110120210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -684 or -0.07?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 76?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127770307*t - 266063266 with respect to t.\nAnswer: -127770307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5652190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 541956117 + 541956117.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 7, v: 1, p: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -51*w - 45. What is p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 2011.066.\nAnswer: 2011.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n*n**(-2\/7)*n))*n*n)**12\/((((n\/(n**0\/n)*n*n)\/n)\/n)\/n*n)**38 assuming n is positive.\nAnswer: n**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16110 = -4*h - 2782. Let c = h - -47281\/10. Calculate the common denominator of c and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 67666388, 4, 0 in decreasing order.\nAnswer: 67666388, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i - 113*i + 569*i - 117*i - 116*i - 112*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 17*m**2 - 17*m + 20. Let p be g(16). Let n be (-2*2)\/(0 - 8\/p). Suppose -w + 1959 = -0*w - n*q, 2*q - 9735 = -5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(1 - 1 - 1)*(-5398*k - 4937*k + 4160*k) as j + m*k and give m.\nAnswer: 12350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 11 + 5*z - 3*z + 7*z. List the prime factors of c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330181 is divided by 2208?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -13. Solve -2*j + 5 = 3*o, w + 19 = 4*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -50*z. Let i(q) = -17*q. Let l(x) = 3*i(x) - m(x). Let k(b) = 6*b - 1. Give k(t) + 4*l(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -234*i - 5. Suppose 1 = 4*k + 5. What is the hundreds digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*r - 0*r + 1, -5*y + 10 = -5*r. Let k(j) = -15*j**3 - 39*j**3 + 0*j**2 - 1 - j - j**2. Is k(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 + -86. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45485 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 1, k: 4, a: 2, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 1\/2*b**2 - 2*b + 3 + 1\/3*b**3. Determine i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 2*m - 46, 4*v - 16*m + 12*m = -28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 71*v**8\/56 + 10*v**4 - 3*v + 13. Find the third derivative of j(l) wrt l.\nAnswer: 8520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-68 + 63)*(-1 + (-3)\/6).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 2. Let d be t(2). Let f = 18 - d. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -16446?\nAnswer: -16451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 - 6 - (29 - 30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/5 + -2\/15. Let s be ((-670)\/200 - -3) + 3\/(-12). Let b be (-26)\/35 - (-9)\/15. What is the nearest to v in 4\/5, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(13862\/41532 - 3\/9). Let l = o + 12441. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Solve -2*s + 3 + b = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 77*a - 2398. Let i be m(29). Sort -1, i, 3.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Let u(p) = -124*p - 56. Let n(a) = -16*g(a) - u(a). Let o be n(4). Calculate the greatest common divisor of o and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1832626 divided by -48227.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2139, -0.5, 3, 22, 2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 8. Let c(v) = n*v**2 + 3 - v**2 + v - 6*v. Let d be c(3). Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696522 and 58638?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 732 = -4*n, -3*w + 6*n + 735 = n. Solve -3*q + 22 = 5*l, -4*l + 2*q + w = 218 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1427 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1.2, 12\/71?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w - 3603 + 2973 = 0 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) -126 (d) -0.04 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2325056 + 9188621263\/3952. What is the common denominator of i and 83\/12?\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37397786 divided by -40694\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (3 + 12 - (-20 + 36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*224\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*((-1)\/1 - 5). Let q(z) = -z**2 - 8*z + 79. Let b be q(6). Sort b, x, 5.\nAnswer: b, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 526855*a - 84424800.\nAnswer: 5*(a - 105531)*(a + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 17 + 2)*(-2*q**3 - 3*q**3 + 6*q**3) + q**2 - q**2 - q**3.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggypqg. What is prob of picking 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 502821093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 4322.\nAnswer: 4322.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22203540 and 4934120?\nAnswer: 44407080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 0, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*n**4 - 82 with respect to n.\nAnswer: -604*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-6)\/((-36)\/(-12)))*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279633371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.36 (b) 5 (c) -2 (d) 0.5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-105)\/25 - (-12)\/(-15). Let f = -528 - -524. Put 3, 1, f, v in decreasing order.\nAnswer: 3, 1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4436*d - 7886?\nAnswer: 4436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*n = -7*n - 118, 2*j + 74 = -n. Let v = 116 + j. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 6292.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, -2, 699 in descending order.\nAnswer: 699, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*n + 276*n - 49521 = -831*n - 159825 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584974 is divided by 83?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(-2 + 1). Solve -2 = j, t*n + 4*n - 6 = -5*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) -1 (c) 0.24 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2073*y + 4139*y - 2071*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 25*d**3 + 29*d**3 + 10*d**3 - 19*d**3 as h*d + z*d**2 + g + i*d**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 11) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - 2. Suppose -m - 2*z = -z - 4, 12 = 2*m - w*z. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436006271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-7)\/14) - (-52)\/2. Calculate the greatest common divisor of t and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*3 - sqrt(17)) + 4)**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 258, 806, 1668, 2874, 4454, 6438, 8856, 11738?\n\"Answer: 5*w**3 + 127*w**2 + 132*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnny when four letters picked without replacement from {n: 4, e: 1, f: 1, y: 1, t: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -2, -303?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*q - 115 = -5*q, 280 = 3*z + 2*q. Suppose 0 = -10*d + z - 0. Solve -3*p + d = -4*c, c = 2*p + p - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123836960 divided by -1508\nAnswer: 82120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/6 - 217\/42. Sort -5, 256, 2\/13, x in ascending order.\nAnswer: -5, 2\/13, x, 256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*m = -25, 0 = 2*r + 3*m + 3 - 2. Let q(y) = 6*y**3 + 3*y**2 - 21*y - 23. Let d be q(-1). Sort d, 2, r in decreasing order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(19) + 0.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 23676*z**4 + 140161918*z**3 - 280252812*z**2 + 140114569*z.\nAnswer: z*(z - 11837)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/49590 and 73\/219588.\nAnswer: 62582580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-2)\/(-20712)). Suppose 7*g = -139 + 391. Is (-3*(-8)\/g)\/(4\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 4 - 5834*d**2 + 5587*d**2 + 7*d**3.\nAnswer: 2*d**3 - 247*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-one halves of a century?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6356 at most 44\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -24*n**2 + 2012*n - 17469. Determine g(74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:31 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3500 (base 6) to base 3.\nAnswer: 1010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1723945 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/604 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 3*q + 0*q + 68 - 4*q.\nAnswer: -11*q + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + -3*(-110)\/(-33). Sort 1, 4, 7, v in descending order.\nAnswer: 7, 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*v - 36*v + 4*v**2 - 2*v**3 + v**3 + 7 + (3*v - 2*v + v)*(4*v**2 - v**2 - v**2).\nAnswer: 3*v**3 + 4*v**2 + 5*v + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 2*s - 24*s**2 + 4*s + 63 to a*s + v + d*s**2 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -97.5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -15 - (6 - -2) - 28\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 7*m + 2*m - m**3 + (2*m + 0*m - 5*m)*(-2*m**2 + m**2 + 3*m**2).\nAnswer: -7*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.251 - -0.339. Round k to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*2)\/sqrt(12) + sqrt(3) + (sqrt(3)*-1 - sqrt(3))*-2.\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - 3) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 9*f**2 - 30*f + 48. Let s be q(3). Solve 0 = 2*i + 2*p + 23 - 15, -4*p = -s for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -11340 (c) 213 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = 3*y - 41, 29622 = -4*c - y + 29633 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 12311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98) + 1 - (sqrt(98)*-1 + 3))**2.\nAnswer: -84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - i = 16 - 12, 4*i = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-14)*(-1 + 1). Let a(z) = -z**2 - z + 5. Calculate a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 6. Let b be ((-50)\/4)\/j*2. Solve -x = 0, -b*r - 3 = -2*r - 4*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let f = l - -5. What is the derivative of 2*t**3 + 7*t**4 - f*t**3 - 1 - 4*t**4 wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/60705 and -31\/25560?\nAnswer: 485640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151764630 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3337111709 + 8119192641203\/2433. Let l = -1\/811 - n. Let d = 61 - l. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -8 (c) -41.8 (d) -3 (e) -4 (f) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -155. List the prime factors of ((-170)\/(-30))\/((-2)\/t).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 676003 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43, -1\/38, -0.5, 0, 0.7?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11)*-1*-4 + sqrt(11)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381\/175 - -117\/25. Find the common denominator of o and -30\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 240. Let o = -28 + k. What is the remainder when o is divided by 0 - -6*(-75)\/(-90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 89*o**2 + 113*o - 2333. Calculate v(90).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 7*d + 5. Let f be t(7). Suppose 13*s + 5 = 8*s. Put -6, f, s in decreasing order.\nAnswer: f, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*v + 2*v. Suppose 0*q - 4*q = -40. Solve v*l + l = -q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8093568 by -24088.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -10\/7, 64, 4, 104 in increasing order.\nAnswer: -10\/7, -1\/4, 4, 64, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = o - 65, 0 = o + 4*o + 25. Let a = -5 - t. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(sqrt(500) + 1) - (sqrt(500) + (-1*-2*sqrt(500) - sqrt(500)) + sqrt(500)))*4)**2 + -2 + 5.\nAnswer: 9520*sqrt(5) + 392292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (228\/20 - 5) + (-2)\/5 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = 38. Let g = -7 + f. Suppose x - 1 = -g*x. Calculate the highest common factor of x and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063*f - 10220 = 552*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/30 - b**5\/60 - b**4\/12 + b**3\/2 - 20*b**2. Let j be s(1). Solve -3*d + 6*n - 17 = n, -5*d - 24 = -j*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 13*b**2 + 11*b - 12. Calculate z(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11.0725. Let x = 1.33 + -1.4. Let w = x - p. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*r**5 + 3*r**4 + 22*r**3 + 977*r**2 - r + 2.\nAnswer: -1140*r**2 + 72*r + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkc. What is prob of sequence kc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14888931 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v - 18*v - 15*v - 15*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -106, -149?\n\"Answer: -43*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/11, 4, -5, -2\/7 in descending order.\nAnswer: 4, -2\/11, -2\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 11*c - 36. Let b(h) = 15 - 1 - 35 - 28 + c*h. What is the hundreds digit of b(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 3*h. Give o(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 265007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**3\/4 - 54*h**2 - 585*h\/4 + 3927 = 0.\nAnswer: -68, -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2852397.824 to the nearest 10000.\nAnswer: 2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*h = -228*h - 4*r + 36, -5*h + r - 30 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-2) - (267408\/288)\/(-619)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*360\/48.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 516 + 67. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703 - 341 = -12*b + 302 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.72978 + 0.73. Round w to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.292995 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 708*k + 2*k**2 - 90*k**3 - 726*k - 20*k**3 - k**2 in the form q*k**3 + h*k**2 + s + c*k and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 - 6*h - 1. Let o be x(-6). Let u(c) be the second derivative of 3\/20*c**5 + 0 + 3*c + 1\/2*c**2 + 0*c**3 - 1\/6*c**4. Calculate u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17598 divided by -8?\nAnswer: 8799\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -79. Suppose 7 = -4*t + z. Solve 6*i = t*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182 divided by -9?\nAnswer: 2182\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 2481.\nAnswer: -297.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50288831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 10*d - 11. Let f be i(-11). Suppose -4 = 5*z - 2*o - 2, 3 = -2*z + 3*o. Is z < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Solve 5*r - 3 = -3*s + 2, 2*r - 2 = -c*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*a**2*n**3 + 6246*a**2 + 4*a*n**3 + 3*a*n - 20*n**2 + 3*n + 3 wrt a.\nAnswer: 222*n**3 + 12492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -529 less than -527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(350))\/(-6*sqrt(28)).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 8. Suppose 5*o = 2*o + 48. Suppose 3*f + o = -5. Let n be q(f). Solve -n = a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391647 divided by 3?\nAnswer: 130549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566 - 6*f**2 - 292 - 561 - 566 - 559 + 2544.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3) + -7 + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o - 3. Let p(g) = -677*g**3 - 3*g**2 - 5*g - 3. Let m be p(-1). Let j = m - 675. Calculate q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5635 - -911048. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.54 + 4.79. Let l = d - -0.75. What is the nearest to 0.1 in 23, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 556, 584, 684, 892, 1244?\n\"Answer: 6*d**3 - 14*d + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -20. Let w(m) = m**3 - 7*m**2 + 8*m + 12. Let t be w(y). Solve -3 = -t*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 + 382 = -6*o - f, 2*o - 5*f = 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3689\/5 - -29497\/40. Let u = -21\/4 + 11\/2. Sort g, -5, -0.3, u.\nAnswer: -5, g, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1494*c**2*m*o**3 + 8157*c**2*m*o**2 - 196*c**2*m*o + 30753*c*m*o**3 - c*m*o - o**2 wrt o?\nAnswer: -8964*c**2*m + 184518*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*-2)\/sqrt(6) + sqrt(7) + (sqrt(343) + 0)**2)*-3.\nAnswer: -1029 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3*n + 5*n)*(-25 - 8 + 0).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 - 11*i - 9. Let h be r(-6). Suppose 4*p - l + 250 = 0, p + l + 44 + 21 = 0. What is the tens digit of (-6)\/h + p\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68849, -275114, -618895, -1100198, -1719029, -2475394, -3369299, -4400750?\nAnswer: -5569753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 10*g**3 - 6*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -959 - -963. Let w(b) = b**2 + 4*b. Let f be w(-4). Solve f = -g*u - 6 + 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -6.1 (b) 1.8 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6*h + 17*h)*(12*h**4 - 18*h**4 + 114*h**4).\nAnswer: 2160*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 4*s**3 + 71*s**2\/6 - 2*s\/3 - 192. What is g in c(g) = 0?\nAnswer: -2, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50675832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-48)*8*18\/4. Find w such that -45*w**2 + 5*w**3 + g*w**4 + 340*w + 4 - 285*w + 2*w**4 - 24 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/3412, 5, -4, -5\/7, 12\/7?\nAnswer: -3\/3412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*i + 30*i + 15*i)*(-2*i + 10 - 10).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*27\/24*396\/(-1782).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 42 + 67 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {k: 3, j: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 10*u - 3. Let q be z(-15). Let s(x) = x**2 - 7*x. Let f be s(8). Suppose 32 = -4*v + f*v. What is the greatest common divisor of q and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*c + 1003, -3*c = -3*q - 46 - 695. Are c and 252 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4063525 + 3.407. What is f rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-12)*4\/(-26)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 314948, 317208, 320980, 326270, 333084, 341428, 351308, 362730?\n\"Answer: n**3 + 750*n**2 + 3*n + 314194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.5 (c) -2 (d) 1201 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 3*m**2 + 4*m**2 - m. Let b(q) be the second derivative of 7*q**3\/6 - q. What is b(w(z))?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13787 is divided by 4555?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 3345827991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 277620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 1.302 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -3244, -7456, -13356?\nAnswer: -20944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1926.04662s?\nAnswer: 0.02229220625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.99 * -0.68839\nAnswer: -0.6815061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*o + 32, 2*i - 3*o = 13 + 54. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-30)*(-675)\/(-45)*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 + -274. Solve -m = 4*q + 13, f = -5*q + 10*m - 8*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2200871 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 13*v**4\/8 - v**3 + 2*v**2 + 167*v. Let l(p) = -1092*p + 169. Give -6*l(s) - 169*q(s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 12. Let l = n - 36.81. Let k = 0.1908 - l. Round k to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84a (base 11) in base 15?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -378*-0.19\nAnswer: 71.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/39)\/(78*-1)*-12?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3140*r - 768046 = -2635*r - 2143*r for r.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/143010 and 77\/10215.\nAnswer: 143010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 61. Let u = p - -33. Suppose -254 = -5*t + u*w - w, -5*t + 2*w = -253. Calculate the remainder when t is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12501 is divided by 1247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -294 - -79. Let c = 1600 + o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-291 - -101) + 47 + 20.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzpttqtqowpppo. What is prob of picking 1 p and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 10*u**2 - 6*u + 1. Let z be n(-6). Suppose -c + 176 = -z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 0)*(0 - 1 - 3)*(-8 + 3 - 4)*(0 + 1 + 5) - 2 + 2 - 2)*(-2 + 3 + 1)*(-4*z + 2*z + 3*z) in the form j + m*z and give m.\nAnswer: -2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1923818 - 1923801.00066. Let f = 15.3 + 1.7. Let u = f - t. What is u rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 22. Suppose 5*q - 2*g - 25 = -7*g, -2*q - 5*g + t = 0. Suppose q*o + 16 = 4*o. Solve w = o*c + 20, w + 15 = -3*c + 3*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48870 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 281, 5, 1, 51, -1 in decreasing order.\nAnswer: 281, 51, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**5\/100 + d**4\/20 - d**3\/10 + d**2\/10 + 4*d + 3. Let w(r) be the first derivative of x(r). Factor w(n).\nAnswer: -(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y + 33 + 33. Let p be (-3)\/y + (-2)\/(-4). What is the closest to 0 in -3\/8, -3, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 278, 351, 424, 497, 570?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6759, 13148, 19549, 25968, 32411, 38884, 45393?\n\"Answer: s**3 + 6382*s + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -13*q**2\/2 - 15*q - 12. Is d(-7) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*y = 2, -2008038*m + 2008003*m - 3*y = 362 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**6*d*d)\/(((d*d**(-7)\/d*d)\/d*d)\/d))**(-2\/73) assuming d is positive.\nAnswer: d**(-34\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*f**2 - 6*f - 72*f**2 + 12*f to z*f + k*f**2 + y and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7215*r + 14421. Calculate j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7629 + 7629. Let z(o) be the first derivative of 0*o + d*o**3 + 16\/5*o**5 + 3*o**2 + 0*o**4 + 1. What is the second derivative of z(q) wrt q?\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/10)\/(1\/(-160)). Suppose 25*s + 69*s + 196*s = 18560. Calculate the highest common divisor of s and w.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.1 + -6.9. Let d = 954.1 + -921. Let n = u + d. Is 2\/33 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -117*a**4\/2 + 155494*a**3 - 103792656*a**2 + 618929064*a - 10549656 = 0.\nAnswer: 2\/117, 6, 1326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g + 2*z, -802 = 4*g + 3*z - 811. Solve -3*r + 0*a + g*a - 12 = 0, 0 = -4*a + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -722 + 724. Solve 0 = 3*j + 12, j + 2 + m = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 393 = w, 5*w = 5. Let i = p - 1177\/6. What is the common denominator of -69\/2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 5*h. Let a be n(4). Suppose r + a*r + 15000 = 0. What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1036 by 259.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let r = 1406 + -1415. Let q(d) = -d + 1. Let x(g) = 2*g - 5. Let p(f) = 2*q(f) - x(f). What is r*y(l) - 2*p(l)?\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 2*n + 3*n - 10*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59112248 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -421004 times -0.2?\nAnswer: 84200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -707783, 4, 5, 5\/3, 0.1 in ascending order.\nAnswer: -707783, 0.1, 2\/11, 5\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q**2 + 1192*q + 1980. What is u(110)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*j + 11956 = -5924, -j + 8938 = m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422*v + 730*v - 724*v + 43896 = 0 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + -1)**2*1 - (5 + sqrt(44)\/sqrt(4)).\nAnswer: -5*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331 + -132031?\nAnswer: -202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d**4\/4 + 867*d**3\/4 - 2817*d**2\/4 + 2517*d\/4 - 279\/2 = 0. Calculate d.\nAnswer: 1\/3, 1, 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 696 and -84021981132.\nAnswer: -84021980436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -2141, -4816, -8561?\nAnswer: -13376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 4*l + 52. Let u be z(0). Find the common denominator of (-1482)\/u*(-5)\/36 and 137\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o*o)\/(o*o**(-2\/9)*o)*o*o\/(o**(-6\/7)\/o)*o*o*o\/(o**(-9)\/o)*o*o assuming o is positive.\nAnswer: o**(1265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87580125 and 4050.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - 0.93. Let j = n - -5. Let s = 3.66 - j. What is s rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 21*b**2 + 2*b + 33. Calculate the lowest common multiple of v(-5) and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213980879.\nAnswer: 7, 29, 31, 37, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1218 and 1740?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*w - 39*w**2 + 82*w**2 - 1045*w + 2092*w + 57*w**2.\nAnswer: 100*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642800 rounded to the nearest 10000?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 - 22*f**2 - 23*f + 12. Let w(z) = 5*z**3 - 21*z**2 - 22*z + 9. Give -3*i(t) + 4*w(t).\nAnswer: 2*t**3 - 18*t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (sqrt(108) - (sqrt(108) + -1 + sqrt(108)) - sqrt(108)))**2.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 598.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 4. Let v = 24 + -4. Suppose 4*n - 3*k + v = 0, -3*n + n + 3*k - 10 = 0. What is the tens digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 3*t - 2*t)*(-t - 3 + 3 - 1)*(3*t**2 - 3*t**2 + 2*t**2) to c*t**2 + u + q*t**4 + n*t**3 + o*t and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3109, 10471, 30447, 69343, 133465, 229119?\n\"Answer: 1051*n**3 + n**2 + 2*n + 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 - (-16 + 6 - -13))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(57)\/sqrt(3) - sqrt(19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051641913?\nAnswer: 1667, 1230739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786426 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.61293 + 1.531. Round l to 3 decimal places.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 464*b**2 + 6736*b - 445. What is z(449)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*f = 6, 3*f = -5*c + 7*f + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1444\/1083*(0 - 3\/(-2)). Let l(v) be the third derivative of 0*v + 9*v**n + 0 - 7\/6*v**3 - 7\/24*v**4. Let s(z) = 6*z + 6. Calculate -5*l(k) - 6*s(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63481591 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243315 (base 7) in base 13?\nAnswer: 191c66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 + -4. Let u = a - 1.5. Sort -1\/9, 0.3, u in descending order.\nAnswer: 0.3, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3405462 and 41\/24095250.\nAnswer: 1277048250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.06 (b) -9 (c) -1\/11 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-96 + 0)*(-3)\/148. Let p be ((-4)\/6)\/((-1)\/(-9)). Let b = p - -6. Is n bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9492 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(49)\/sqrt(7)) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 632817*j**3*t + 124*j**3 + 50*j**2 + 3*j + 2 with respect to t.\nAnswer: 632817*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78609 - 79442 = 17*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + h**2 - 10*h + 20. Is n(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(44))**2*1 - -3*sqrt(33)\/sqrt(3)).\nAnswer: -176 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1240\/(-62)*(-2)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1700 is divided by 154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -8. Let a be 26 - (v - 2)*1. Suppose p + i = 3*p - a, -3*i + 51 = 5*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3432, -3429, -3416, -3387, -3336, -3257, -3144?\n\"Answer: z**3 - z**2 - z - 3431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227107189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200001211 (base 3) in base 15?\nAnswer: 9b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*u - 9*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -2*l - 2*c + 212, 0 = 3*l - 4*c - 529. List the prime factors of l.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 0. Suppose -2*b = s*b - 10. Let l = -234 + 234. Sort l, -5, b.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (-4 - -4) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 4956?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uudu when four letters picked without replacement from dduuuuuduu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145351157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*o**2 - 86*o**2 - 31*o**2 as r*o**2 + h*o + n and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 4) in base 6?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 4*sqrt(539))*2 + ((sqrt(539) + -1)*4 - sqrt(539) - (-4*(-1*sqrt(539) + sqrt(539)))**2)*5.\nAnswer: -28 + 161*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*a**2*b*h*n**2 - a**2*n**2 - 13*a*h**3*n**2 + 3*b*h**3*n + 2*h**2*n with respect to b.\nAnswer: 70*a**2*h*n**2 + 3*h**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 12002242?\nAnswer: 12002214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 115. Suppose -5*o + r + 2 = 0. Solve -5*u - o*j = -3*u + 4, -u + 13 = -5*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:25 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 189671 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: What is the common denominator of -27\/5512708 and 52\/23429009?\nAnswer: 93716036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 2*x**3\/3 - x**2\/2 - x. Suppose 0 = -4*p - 5*c + 54, 3*c - c = 3*p - 6. Let n(o) = 4*o - 1. Calculate p*n(v) - 5*l(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1338288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(21*(-10)\/300).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2542*q + 1672*q - 2289*q.\nAnswer: -3159*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-10) - (-8676)\/90 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k. Let t be r(2). Does 2 divide -2*t\/4 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w - 95. Let x(g) = 5*g. Let a(p) = -t(p) - 5*x(p). Let m be a(8). Calculate the greatest common factor of 135 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845 = -85*b - 75 + 335 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21802 - -1)\/(-8 - (-13 + 10)*3).\nAnswer: 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*k + 366, 5*j + 5*k = 147 + 183. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8776, 17602, 26454, 35344, 44284?\nAnswer: 53286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.4. Let b = 3315 + -13261\/4. Suppose -q = 3*q - 8. Put 19, q, t, b in decreasing order.\nAnswer: 19, q, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 62 = -4*c - 46, -4*c = g - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-270544)\/(-5180))\/457*(-10)\/28\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -868.42 rounded to the nearest 10?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -2 (c) -0.2 (d) -2\/7 (e) -30 (f) -101515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.105577 seconds to minutes.\nAnswer: 0.18509295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(24\/10 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**5\/8 + 63*w**4\/8 + 147*w**3\/4 + 171*w**2\/4 - 297*w\/8 - 405\/8 = 0.\nAnswer: -15, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * -0.576.\nAnswer: 42.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/28 and (-1)\/(-6) + (164\/726)\/(224\/(-168))?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - -1) + (-275 - -277).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -351.\nAnswer: 2\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -16\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3 - 163*i**2 + 122*i + 48.\nAnswer: -(i - 1)*(i + 24)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 231150542471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (179*h - 16*h - 36*h)*(52 - 20 - 28) + 2*h + 5*h - 5*h to j*h + m and give j.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -21*k**3 + k**2 + k + 1. What is a(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 308 in -1\/3, 0.6, 1, 4, 321, -2\/13?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:38 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - 7*o + 2*o)*(-29*o**2 + 21*o**2 - 90*o**2)*(-3*o + o + 0*o) to m + u*o**3 + p*o + j*o**4 + k*o**2 and give j.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1656032303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -5, -0.19, 20, -0.086, 0?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8223 from -0.5317948023.\nAnswer: -8223.5317948023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51123 and 6.\nAnswer: 306738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/18)\/((-910)\/(-117) + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 3*t = 3*l - 10, -3*l - 35 = -4*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -0.00951.\nAnswer: -0.10951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/11)*(o*o*o\/o**1*o)\/o)**5 assuming o is positive.\nAnswer: o**(160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345260 (base 8) to base 2.\nAnswer: -11100101010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -70, 3\/4, -0.1, 0.1, 1.6 in ascending order.\nAnswer: -70, -2\/7, -0.1, 0.1, 3\/4, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dptdtktt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 27*n**4 + 183*n**3 - 357*n**2 + 288*n - 84 = 0. What is n?\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/28)\/((-2)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 647 + -367. Calculate the greatest common divisor of 56 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**5 + 8*a**5 - 4*a**5)*(0 + 4 - 5)*(-3 + 3 - 1)*(4 - 2 + 4).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -16. Suppose o = -o + q. Let i = 15 - o. Calculate the greatest common divisor of 81 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -14\/145, 0.1, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 + 99*y - 18. Let w(l) = -l**2 - 11*l + 2. Let i(a) = 2*b(a) + 18*w(a). Let n(j) = -126*j - 77. Calculate n(i(z)).\nAnswer: 252*z**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6034411.\nAnswer: 3\/6034411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 0.16. What is the nearest to -0.1 in -0.5, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 686*f = 693*f - 335, -f - 2*f + 144 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139 and 103696363.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146417.015 rounded to the nearest 100?\nAnswer: 146400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -3\/8, 50?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 476628936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5314, 5315, 5316, 5317?\n\"Answer: m + 5313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3816, 15634, 35324, 62880, 98296?\nAnswer: 141566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9730608820 less than -0.4?\nAnswer: 9730608819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b. Let q be i(-1). Suppose q = m - 3 + 4. Let y = m + 1. Sort 3, y, -3 in decreasing order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -837 in 7\/5, -76, -2, 5\/3?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445737 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196584618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3723 and 0.2.\nAnswer: 3723.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14238 = -3181*p + 2164*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.40027729 rounded to 2 dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2139 - -4.0221. Let y = 4.3 - l. Let j = 1.064 - y. Which is the closest to 0? (a) j (b) 1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000 (base 2) to base 3.\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 - (-7 + (-4 - -8)). Let d be (-8)\/m*40\/16. Calculate the least common multiple of 0 - (-2)\/(d - 1) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 14*s. Is v(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 5)\/4*(-4)\/66\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4973.266 rounded to the nearest integer?\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -2\/7, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*p - 876 - 3492. Let m = 152 + p. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 + d. Suppose -v + 4*x - 5*x = -6, 14 = 2*v + 4*x. Calculate g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/6 - o**2 + 13*o. Determine g(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/38532 and -23\/29640.\nAnswer: 385320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -75972 at least -75967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 657*l**2 + 3342*l + 4032.\nAnswer: -3*(l - 224)*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + z - 27. Let v be b(0). Calculate the common denominator of (-2)\/(-16)*-6*510\/v and (-2)\/7 - (-639)\/56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267751*q**4 - 17*q**3 + 2*q - 7735.\nAnswer: -3213012*q**2 - 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z - 105 + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t - 14. Let m(l) be the third derivative of -l**4\/24 - l**3\/6 - 5*l**2. Determine 3*a(p) - 42*m(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60782 * 0.3\nAnswer: 18234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 67864?\nAnswer: 67864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -39. Let p(x) = x**3 + x**2 - 1. Let a(k) = -3 - k**4 + 0 + 3*k**2 + 3*k**3 + k**2. Let f(q) = d*p(q) - a(q). Let f(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*r**2 - 154870 + 51620 + 51623 + 51625.\nAnswer: -821*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*c + 2*t - 3, 5*t = 5*c - 5. Let w(r) = -2*r - r + 2*r + 8 + 0. Determine w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/525 or 1?\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -536, -3631, -9290, -17513, -28300, -41651?\n\"Answer: -1282*b**2 + 751*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let f = 0.02 + b. Let y = 0.38 + f. What is the biggest value in y, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 0.2, 0.1, 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -9*n - 80. Solve 0 = -n*h - f - 4*f + 9, -2*h + 3*f = 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 3. Let p be q(-6). Let w = p - 4. Let f be w\/3 - (-77)\/(-21). Sort -2, 1, f in decreasing order.\nAnswer: 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2126535*v**5 + 36*v**2 + v + 12247?\nAnswer: 127592100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 1, r: 5, g: 2, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/20 + 2*k**4\/3 - k**3\/3 + 8*k**2 - 39*k. Let s be x(8). Solve 4*m + 2*f - 6 = s, 12 = -2*m + 2*f + 2*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382191403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -51*d - 1875. What is the remainder when 98 is divided by o(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032027763 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1460*k - 104 = -1473*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 10*c**2 - 2*c**2. Let s(l) = 648*l + 459. Let u(o) = -17*o - 12. Let a(x) = 4*s(x) + 153*u(x). Give t(a(z)).\nAnswer: 405*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**5 + 5*c**4 + 5*c**3 - 17*c**2 + 6*c. Let h(m) = -2*m**5 - 10*m**4 - 11*m**3 + 34*m**2 - 11*m. Let l(w) = -13*g(w) - 6*h(w). Factor l(k).\nAnswer: -k*(k - 1)**2*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 29679558389403.\nAnswer: 29679558389398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (0 - (6 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 318, 287, 240, 171?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 21 = -4*b - d, -4*d = b. Suppose u = -b*u + 5. Let o = 2 + u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6951*g**2*i**2 + 5*g**2 + 1017 wrt i.\nAnswer: 13902*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8332, 8328, 8324, 8320, 8316, 8312?\nAnswer: 8308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 32*q - 57 + 31*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 52. Let f(g) = -5*g**3 + 3*g + 8. Let i(m) = 4*m**3 - 2*m - 7. Determine j*i(q) + 5*f(q).\nAnswer: -q**3 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2433146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - -d26b?\nAnswer: d23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-24))\/((-255)\/40) - (-16)\/153?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 + 1. Let r be z(2). Suppose 4*h = -c + 14, 0*h + 2*h - 4*c = -2. Let l = r + h. Solve -2*d - 7 = -2*m + 3, -d - m + 3 = l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44530 + -6753?\nAnswer: -52383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976 (base 10) to base 4.\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 139*q + 77 - 137*q + 273*q. Let f be i(0). Does 77 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 3, h: 1, o: 3, e: 2}. Give prob of sequence ozho.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*155*131\/(-12183)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 - 8*n + 3. What is the common denominator of s(5) and 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143973 by 9.\nAnswer: -15997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*4\/30)\/(6\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -427, -620, -793, -940?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*k**2 + i**3 - 69*i - 69*k**2 wrt k.\nAnswer: 2*i**3*k - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 28, -4, 3, 606 in descending order.\nAnswer: 606, 28, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3305950 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33497*g - 32724*g - 20871 = 0. Suppose 2*d + 13 + 4 = 3*j, -4*j = d - 8. Suppose 2*s - j*s = -7. What is the remainder when g is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 5 + 0 + -160 + 173?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 13.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.009 in -3, 3\/7, 18, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164090032?\nAnswer: 2, 827, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 18*d**2 + 36*d - 13. Let r be o(16). Differentiate -3*i**2 + 9*i**2 + r - 84 with respect to i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (24 + -28 + 20 + -48)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 0, 25 in descending order.\nAnswer: 25, 7, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3*1)\/(-22*38\/418).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93068526?\nAnswer: 2, 3, 15511421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let k = 2.994 + l. Round k to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(20*3\/3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 - 71*p**2 + 47*p**2 - 32*p**2.\nAnswer: -101*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 38*i**2 - 9*i + 3 + 7*i + 5 in the form h*i + g + x*i**2 and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -0.005 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2264 or 2338?\nAnswer: 2338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -139*x. Let c(f) = -143021*f. Give b(c(d)).\nAnswer: 19879919*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/(m**(-2\/19)*m*m))\/(m**0)**(-4))**(4\/15) assuming m is positive.\nAnswer: m**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8*j + 32 = 0. Solve 0*l - 3*l = -s - 4, 2*s - j = -2*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -7, -2, 0.\nAnswer: -7, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 3:05 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 140 = 104. Let g be (t\/(-12))\/(-1 - 66\/(-63)). Solve g*d + 16 - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40628 + 62681. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 20*p**2 + 19*p + 1114. Let q(o) = 11*o**2 + 7*o + 557. Let l(v) = -3*f(v) + 7*q(v). Differentiate l(j) with respect to j.\nAnswer: 34*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.4447 and -0.11.\nAnswer: 6.3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 3.02. Let m = -12.3 - -12.5. What is the closest to -3 in -0.5, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*4\/(1\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -217. Let x be ((-7)\/(224\/40))\/(c\/(-4)). Solve 2*b - 3*m = -m + 8, x*b + 4*m = -16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ykkyyykkkyyyykky.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179729*j**2 + 2359559*j**2 - 1179826*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 20*j = l, 0 = 47*l - 87*l + 41*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1 - 35)\/((-5 + 11)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35705841146859\/1251460 - 1398036280\/49. Let l = n + 1\/2554. Find the common denominator of -119\/10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009082 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from xvrxp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 3*o + 7. Let v be j(5). Let f(g) = -g**2 - 2*g + 3. Let w be f(v). Suppose w*z = -z + 5. Solve m + 29 = z*k - 0*k, 4*m - 5*k = -41 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121804733 to the power of 1\/2, to the nearest integer?\nAnswer: 11037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25553371 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: Calculate the highest common factor of 54936 and 743400.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 162, 161?\n\"Answer: -q + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3083, -13593, -31535, -56909, -89715, -129953, -177623?\nAnswer: -232725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -215, -432, -721, -1076, -1491, -1960, -2477?\nAnswer: -3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 + -2310?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 157811?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:08 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-2)\/(-4)*-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*i = -7911, 4741 = 3*o + 128*i - 127*i. Calculate the highest common divisor of o and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149191945*j**2 + 169971757*j wrt j.\nAnswer: 298383890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2903 + 217134.\nAnswer: 220037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12877 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200131 or 1?\nAnswer: 200131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/(-112) - (-46)\/7. Find the third derivative of 2*z**2 - 2*z + 56*z**g + 3*z**2 + 23*z**6 wrt z.\nAnswer: 9480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228\/25 - -2477\/225. Let o(t) = t**3 - t**2 - 2*t + 3. Let z be o(2). Which is bigger: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 + 7 = 0. Let d(b) = 4*b + 3. Let h(z) = -4*z - 2. Let w(x) = q*h(x) - 4*d(x). What is the remainder when 39 is divided by w(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297 - 19*y**3 + 315 - 612.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 51, 111, 187, 273, 363, 451?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111022201 - 120221000?\nAnswer: -10002020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -944 + 425. Which is smaller: -520 or p?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/27)\/(1\/12). Suppose t*n - 27675 = 8701. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.8. Let z = -1010201\/4194 + 301\/466. Let w = z + 240. Put 3, w, d in ascending order.\nAnswer: w, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.70946586 to 2 dps.\nAnswer: 11.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -2*z = -g - 183, 12 = -c*z - g + 289. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (464 - 1 - -1)*(-16)\/(-32). What is the highest common divisor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -28 - 13*l + 79 + 13 + 30*l. What is the remainder when 180 is divided by i(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-12)\/(-1176)*-28).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 + 3270?\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 54, -138, -418, -792, -1266, -1846, -2538?\nAnswer: -3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*u - 9*u. Suppose -2*g + 9 = -11*g. What is the remainder when g\/((-1)\/(3 + 1)) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.8 - -115. Let y = -47 + 48. What is the nearest to -15 in y, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3*r + 0*r + r - 4*r + 2*r + (r - r + r)*(-1 + 4 - 4) + 5*r - 4*r - 3*r)*(70*r - 37*r + 18*r) to the form h + i*r**2 + q*r and give i.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4425?\nAnswer: 4\/4425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 24 + 3\/8*o**3 + 9\/2*o**2 = 0. Calculate o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-85)\/34)\/((-2)\/(-4)). Let t(b) = -3*b - 7. Calculate t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxpxxpx. Give prob of picking 1 x and 3 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(0*r + r - 3*r) - 2*r + 3*r + 0*r + (-1 - 1 + 1)*(0*r + 4*r - 6*r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16850737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 645\/37, -2, -0.3.\nAnswer: -5, -2, -0.3, 1, 645\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpr when four letters picked without replacement from {x: 1, p: 2, r: 6, f: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 135?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -99. Let l be ((-9)\/x)\/(6\/(-8)). Let 3*j**5 - 9*j**3 + l*j**2 + 0*j**3 + 0*j**3 = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-224))\/(((-33)\/(-24))\/(-11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 2. Suppose -4*n - 36 = -12. Let v(p) be the third derivative of p**4\/24 + 4*p**3\/3 - p**2. Let k be v(n). Calculate i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1776*c - 4300 = -1786*c. What is the greatest common divisor of 258 and c?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let k = 41 - 40. What is the third smallest value in -2\/5, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 22517 + 22165 = -22*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900485 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 3. Let v be l(5). Suppose -y - j = -19, -5*y + v*j + 103 = -0*j. List the prime factors of (y\/6)\/((-10)\/(-45)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101200 + -101?\nAnswer: -20102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106604 and 0.3.\nAnswer: -31981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(-15)\/(-375)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 15*i**3 + 3072828*i**2 + 157369969488*i - 125897942208 = 0.\nAnswer: -102428, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 27 (c) -1\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 66 - 18 = 3*h, g = h + 8. What is the third derivative of 0*t**5 + 3*t**5 - 5*t**5 + g*t**2 + 15*t**5 wrt t?\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 50, 88, 138, 200, 274?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -46*u**2. Let n(k) = k. Let o(z) = -4*z - 12. Let a(b) = -2*n(b) - o(b). Give t(a(m)).\nAnswer: -184*m**2 - 2208*m - 6624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 90.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let r(c) = 9*c - 50 + 61 - 155. Let t be r(16). What is the nearest to t in -3, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhphthhhhptphheh. What is prob of sequence eth?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 14*y + 25. What are the prime factors of s(-11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3476 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flflrrafylf. What is prob of sequence yal?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -659, 0.3, 1, 5, -4, -2\/11, -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316805449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 70*k. Let n(z) = 14*z + 2974 - 5942 + 2968. Determine c(n(s)).\nAnswer: 392*s**2 + 980*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1584)))**2 - ((sqrt(275)*1 - sqrt(275))**2 + 2).\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 0*q**4 + 5*q**4)*(-4*q - 2*q + 5*q) + (0 - 4*q**2 + 0)*(2 - 2 + 4*q**3).\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/((-45)\/(-135))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5019*i**3 - 33*i**2 + 5028*i**3 + 33*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/60 - m**4\/12 + m**2 - 1. Let j(k) be the second derivative of u(k). Find the second derivative of j(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**3 + 565*s**2 + 3450*s - 7875.\nAnswer: 5*(s + 15)**2*(4*s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27656921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 231*u**3 - 1 - u**2 + 6*u**2 - 3*u - 232*u**3. Determine w(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07976 and 553878110.99?\nAnswer: 553878110.91024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 188*v + 2. Let t(b) = 92*b + 1. Give 3*g(d) - 5*t(d).\nAnswer: 104*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, s: 3, r: 5}. What is prob of picking 2 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 208796?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 185.8573 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (-1112)\/(-16) + 1\/2. Calculate the highest common divisor of 77 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561809 is divided by 12967?\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkkbjk. What is prob of sequence jbk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfvqqfcccft. Give prob of picking 1 f and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*r**2 - 428860*j**5 - 5430*j**2*r**2 - j**2*r + 10*j**2 wrt j.\nAnswer: -120*j**2*r**2 - 25731600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2 + 1)*(-31 - 8720\/(-280))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 5. Let w(n) = n + 6. Let s(t) = -t**3 - 2*t**2 + 4*t + 1. Let d be s(-3). Let h be w(d). Let k(f) = 2*f + 6. Calculate h*v(x) + 3*k(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q**3 - 14 - 43*q**3 - 2*q**2 + 3*q**4 + 2*q + 14*q**3 + 15*q**3 + 0*q**3 to the form m*q**2 + c*q**3 + v + b*q + a*q**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*8*(-2)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaam when four letters picked without replacement from {k: 7, a: 3, x: 6, m: 3}?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92504 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 4, 23.58, -0.4?\nAnswer: 23.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*f**2 + 440\/3*f - 24200\/3.\nAnswer: -2*(f - 110)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/13118 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.6 + 19.9. Let j = -4.7 - 1.3. Let a = j + x. Sort -1\/2, a, -5 in decreasing order.\nAnswer: a, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-48))\/(187\/(-306)) - (-60 - 4 - 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -17. Suppose m*d + 38 = -42. Let q = d - -49. Solve -3*u = k - 0*k - 11, 2*u = -5*k + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91633107 to the power of 1\/2, to the nearest integer?\nAnswer: 9573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18481584 to the power of 1\/2, to the nearest integer?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + j**2 + j**2 + 2*j**3 - j - j**3 + j + (2*j - 4*j + j)*(j**2 + j**2 - 4*j**2) - 21*j - 4*j**3 + 21*j.\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15)*c\/(c*c*c**(-1\/3)) assuming c is positive.\nAnswer: c**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z + k + 331 = 0, -2*z = 3*k - 311. Let g = 231 - 329. Let f = g + z. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1522083*i*l + 59*l - 1259 wrt i?\nAnswer: -1522083*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77654 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4112 + 4117. Let r be -5 + 3\/(-1) + 1. Sort 1, 2, m, r in increasing order.\nAnswer: r, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o - 3*x - 20 = -148, 0*o = o + 2*o - 2*x - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(176))*4)**2 + 0.\nAnswer: -480*sqrt(11) + 3041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 16 - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:36 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 27*k - 22. Let i be p(-7). Is (1 - i*424 - -5) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1387 = -i + 6*i, 5548 = 4*j + 3*i. Suppose -107 = p - j. Suppose -6*u + p = 2*u. Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -12. What is the smallest value in -9, g, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**3 + 7*c**3 + (1 + c**2 - 1)*(2 - 2 + 3*c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -95*l**3 - 15*l**2 - 25*l + 15. Let a(v) = 24*v**3 + 4*v**2 + 6*v - 4. Let x(p) = -15*a(p) - 4*m(p). Find the second derivative of x(j) wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4461987800 to the nearest one million.\nAnswer: 4462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16041 - 903. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 4*z + z)*(13*z**3 - 2052 + 2046 - 3*z**4 + 46*z**3).\nAnswer: -9*z**5 + 177*z**4 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 7 - 13*z + 1 to the form j + v*z and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298157217 to the power of 1\/2, to the nearest integer?\nAnswer: 17267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59609*d**3 + 59396*d**3 + 59653*d**3 - 178620*d**3.\nAnswer: 38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:58 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137185347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -708 - -908. Solve -71 + z = 43*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*s - 8. Let z be s\/(-15) + (-2)\/10. Let u = -0.4 + 0.3. Which is the third smallest value? (a) z (b) -2\/9 (c) u (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 5*r + 1, 0 = y - 2*r + 1. Let f(t) = t**3 + 3*t**2 - t - 3. Let v be f(y). Suppose -2*p - 2*p = l - 222, 3*p + 2*l - 169 = v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1\/1)*17. Let v(s) = 36601 - 73249 + 4*s + 36610. Let k be v(q). Calculate the highest common divisor of k and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t + 10. Let z be (0 + (-15)\/6)*t. Let h(o) = o**3 - 5*o**2 - o - 2. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t**2 + 29*t - 12 = 0. Calculate t.\nAnswer: -12\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35429?\nAnswer: 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*o**2 + 5*o**2 - 2*o**2 + 3*o**2 - 1 + 1 + (-o + 3*o - 3*o)*(-29 + 29 + 10*o) + 3*o**2 - 2*o**2 - 2*o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w*w*w*w*w\/((w\/(w\/w**(-19)))\/w*w)*w)\/w))\/(((w\/w**(1\/9))\/w)\/w))**(-15) assuming w is positive.\nAnswer: w**(1030\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)*o\/o**(-1\/5)*(o\/o**(1\/2))**(14\/9))\/((o\/o**4)\/(o*o**(-3\/2)*o)*o**2\/o**(-1\/5)) assuming o is positive.\nAnswer: o**(53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 - 63)*(-5)\/10. Solve 0 = -s*b - 6 + 88 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18 and 59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 8\/7 (b) -12626 (c) 15\/2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7875 and 99.8.\nAnswer: 100.5875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - (-2 - -3)) - (23 - 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 4) + 5 + 8. Suppose 4*s - 8 = 4*c, -3*c + 8*c = -4*s + 26. Let l be (16\/2)\/(s\/10). Calculate the highest common divisor of l and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose 0 = -f*w - 4*h + 863, -3*w = -0*h + 2*h - 871. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/140)\/(27\/244). Let q = -28\/9 - n. Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16196 - 16197. Sort -5, l, -28, 4 in increasing order.\nAnswer: -28, -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*l**4 + 14*i*l**2 - 922*i - l**3 with respect to l.\nAnswer: -8*i*l**3 + 28*i*l - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5\/7 + 123*k**4\/7 + 8553*k**3\/7 + 8301*k**2\/7 - 8550*k\/7 - 8424\/7 = 0. What is k?\nAnswer: -36, -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 + 8*p + 322. Let l be c(-27). Let n = 8905 - 13066. Let f = n + l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-146)\/(-8) - 18\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**3 - 127 + 127 + 2*f - f**3 - 2*f + (-3*f**2 + 5*f**2 + 0*f**2)*(-f + 0 + 0) + (-1 + 4 - 5)*(-f**3 - f**3 + 0*f**3) + 7*f**3 + 18*f**2 - 18*f**2.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 18*m + 740 = 0. Calculate the remainder when 258 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1593, 1537, 1447, 1323, 1165, 973?\n\"Answer: -17*x**2 - 5*x + 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*h - 12, -2*x = 2*h + 3*h - 24. What is the closest to 2\/5 in 0.4, 1\/3, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1\/10)))\/((((b*(b**1\/b)\/b*b)\/b)\/b)\/b)*b**(-9)\/(((b\/(b*b**(-3\/5)))\/b)\/b) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14420 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let c be ((-12)\/d - -2) + 13. Factor -6*s**3 + 2 - 12*s**2 + 9*s - 4 + c*s**3.\nAnswer: (s - 1)**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*j + 18, -2*s + 12 + 2 = 4*j. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 41\/840*c**6 - 5\/168*c**4 - 1\/70*c**7 + 0 + 1\/21*c**3 + 0*c + 10*c**2 - 17\/420*c**5. Let b(a) = 0. Calculate a.\nAnswer: -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 5. Let y be d(-3). Let u = 18 - y. Suppose -2*h - u*a + 14 = 0, -4*h + 3 + 11 = -3*a. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13\/(t\/(t**(-1\/5)*t*t*t)) assuming t is positive.\nAnswer: t**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -44*n. Suppose n = 94*c - 89*c - 10. Factor -49*t**3 - 9\/2 + 35\/2*t**c + 12*t.\nAnswer: -(2*t + 1)*(7*t - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/1878097743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/2 - 11*p**3\/3 - 4*p**2 + 11*p + 1415. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14150*n - 46*n**4 - 139*n**4 + 3*n**3 + 14149*n in the form y*n**2 + q*n**4 + x*n + s*n**3 + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147389?\nAnswer: 11, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 19378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (1 - 5) - -17) + -9 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62922 - -62905. Let h be 2\/(-6) - 10\/(-12). What is the nearest to h in 1, i, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 37 - (10 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-3) - (-6)\/(-3). Let m(b) be the first derivative of 0*b + 1\/2*b**4 - 1 + b**2 - p*b**3. Let m(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**3 + 3386*j - 6374*j + 59*j**3 + 2988*j.\nAnswer: 133*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-70 - (-405330)\/5782).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -3*y**4\/8 - 47*y**2 + 7*y. Let z(l) = -2*l**2 + 18*l. What is z(v(s))?\nAnswer: -162*s**2 - 162*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q**2 + 6 + 869*q**2 - 2.\nAnswer: 911*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -93932 in ascending order.\nAnswer: -93932, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70\/19 or -5?\nAnswer: -70\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 53*b + 17. Let y be i(-18). Sort -5, 0, y, 3, -15 in descending order.\nAnswer: 3, 0, y, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.8, 386, -1\/4, -7?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1207\/3 - -404. Determine k, given that 0 - o*k**5 + 0*k + 0*k**4 + 0*k**2 + 5\/3*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2131402\/24)\/7 + -2. Let x = h + -12677. Let o = x - 43\/6. What is the second smallest value in 2, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 131?\nAnswer: 33\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2338803036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -286309\nAnswer: 3\/286309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j**4 - 4026*j**3 - 14871376.\nAnswer: -32*j**3 - 12078*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0922 - -0.09220541. What is p rounded to seven decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 1. Let w be k(-2). Let g = -2 + w. Suppose -3*u = -4*c - 53, -u = g*u - 3*c - 59. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 2}. Give prob of picking 1 w and 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-70)*8\/(-3). What are the prime factors of (x - -7) + 3\/((-6)\/(-2110))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1898, -1882, -1850, -1796, -1714, -1598, -1442?\n\"Answer: a**3 + 2*a**2 + 3*a - 1904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -259, -41, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3)\/(38\/((-988)\/(-663))). Which is the second biggest value? (a) 18\/5 (b) -4 (c) v (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 2\/(-4)*1. Let l be ((b - 0)\/(-4))\/(3\/1). Solve 20 = -l*y - 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253635 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 16*t**2 - 33*t - 270.\nAnswer: -(t - 10)*(t - 9)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13969 (b) 0 (c) -2\/3 (d) -1\/3 (e) -0.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2451 - -3582. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 3*m**2 + 3*m - 35. Calculate f(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.1 (c) 0 (d) -5 (e) -2\/3 (f) -0.001 (g) -4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8442, -66921, -225634, -534699, -1044234, -1804357, -2865186, -4276839?\n\"Answer: -8353*d**3 + d**2 - 11*d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942565559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2648 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 23. Suppose -3*j = -3*i - 4*j + t, 3*i = -3*j. Suppose i*m - 80 = -m. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51476021094 - -73?\nAnswer: -51476021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 43 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(-3*sqrt(252) + sqrt(252)) - sqrt(252)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 - 4*v**2 + 16*v + 6*v**2 - 11 + 12*v = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*d + 14 - 5 = 0, -8*x - 2*d - 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**5 - 2*s**5 + 0*s**5 + (94*s**3 - 38025 + 38025)*(23*s - 23*s + 6*s**2).\nAnswer: 555*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -52*i**2 + 9*i + 10. Let y(d) = d**2 - 5*d + 2. Let c be y(8). Let n = 36 - c. Let p be m(n). Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Let d be 0*(x - (-5)\/(-10)). Let z(f) = -f + 1. Let p be z(-1). Solve d = 3*k + p + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5995*o**3*u + o**3 + 113*o**2*u - 5*o**2 + 4*o*u - 31*o wrt o.\nAnswer: 35970*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5\/2 - 29*c**4\/6 + 2357*c**3\/6 + 6893*c**2\/6 + 2105*c\/3 - 52 = 0. Calculate c.\nAnswer: -12, -2, -1, 1\/15, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015118 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f**2 + 51 - 8*f + 60*f - 16*f**2 + f. What is the smallest common multiple of x(27) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.8052110844 and 48.\nAnswer: 81.8052110844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 267, 305, 337, 357, 359, 337?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(1 + -3 - -4). Let s(u) = -2*u - 6. Let r(n) = -2*n - 5. Let o = -14 + 11. Let x(m) = o*s(m) + 4*r(m). Determine x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676721065*u**3 - 4*u**2 + 3*u**2 - 676720904*u**3.\nAnswer: 161*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 26*b - 83. Calculate c(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 - 8. Is 68 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330757531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1163164*y - 581052*y - 4 - 580098*y as u*y + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 72.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 at least as big as 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = 2*j - 0*c, -5*c = 2*j + 4. Suppose 6*v - 279 = 105. Calculate the greatest common divisor of v and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 10 - 2*p + 9 - 4*p**2 to u*p + c + n*p**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = -m + 5, 0 = 2*o + 4*m - 24. Suppose o*j - 452 = -w, -j - 118 - 1735 = -4*w. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2436, 2, 10 in decreasing order.\nAnswer: 2436, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + ((4*(sqrt(171) + 2*sqrt(171) + sqrt(171)) - sqrt(171)) + sqrt(171) - sqrt(171)))\/(6*sqrt(27)\/sqrt(3))*-2.\nAnswer: -17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502602.7ml in litres?\nAnswer: 502.6027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.48 + 6?\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420547, 420568, 420589?\nAnswer: 420610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*7\/((-14)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 765dca + -5?\nAnswer: 765dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + t)*(-t**3 - t**3 + 6*t**3) + 4*t**4 - t**4 - 4*t**4 + 15*t**4 - 6*t**4 - 19*t**4 - 4*t**4 + 4*t**4 + t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 - -260. Factor -1\/3*y + 0 + 1\/3*y**3 + 0*y**l.\nAnswer: y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + d. Let w(x) = -x**2 - x. What is -5*l(u) - 8*w(u)?\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 12) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*b - 14*b - 3*b)*(1 - 1 + 3*b) + 2 - 2 + 2*b**2 - 3*b**2 + 4*b**2 - 2*b**2 to the form n*b + y*b**2 + i and give y.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 1, h: 2, i: 1, u: 4, b: 5}. What is prob of sequence hbbh?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnaqnaqanhaana. Give prob of sequence hqn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -8974668.\nAnswer: -1\/4487334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/120 + y**3\/3 - 2*y**2. Let r(q) be the first derivative of b(q). Let h(z) = -5*z. Calculate r(h(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2937*a - 2674*a + 348 - 174 - 174.\nAnswer: 263*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 10*c + 13*c, 5*y + c = -20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16111 (base 7) to base 16.\nAnswer: 11a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/155)\/(-11))\/(3\/(-15))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 190634.7187 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*2*(13 - -29581). Suppose p = -u - 3*a, 2*u - 3*a + 29603 = -0*u. Round u to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.114 - 74.114. Let g = 74 + u. Let d = 0.07 - -0.33. Sort d, g, -2, -1\/7 in decreasing order.\nAnswer: d, g, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:26 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -2\/4685, -1812, 1\/2 in descending order.\nAnswer: 1\/2, -2\/4685, -2, -5, -1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - (-12 - -8)) + 77. Suppose g = 4*h + 1117. Which is smaller: h or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 43*z**2 + 14*z**2 + 16*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((8 - (0 + 0)) + 91950\/(-11647))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 0.1, 0.06, 1\/9, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 = r, 4*l + r = -l - 107. Does -22 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5)\/((f\/f**(-2\/7))\/f*f))**(-1\/14)\/((f**2\/(f*f*f\/(f*f**2)*f*f))\/(f**(-4)\/f**(-2\/19))) assuming f is positive.\nAnswer: f**(-7879\/1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112582416.\nAnswer: 2, 3, 37, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 4*j - 15. Calculate g(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1912901 by -100679.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -14140680?\nAnswer: -5656272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k. Let x(c) = 28*c + 15 - 14*c - 15. What is x(y(g))?\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:03 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 9, o: 8, b: 2}. What is prob of picking 1 s, 1 b, and 1 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126964*v*x**2 + 23*v - 3*x**2 - 4641*x wrt x?\nAnswer: -253928*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-24)*(22 - -250366) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - -2 - -4 - 24\/(-14 - -10). Solve 4*k - 5*l = -24, -j*l + 37 = -2*k + 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 27) + 9 - (1 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*z + 1046, 5*z + 0*c + 5*c - 2640 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3622\/9 + -402. Which is the second biggest value? (a) 1 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 86. Solve m*r + 4*y + 4 = -0, 0 = 4*r - y + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -97, -3907 in decreasing order.\nAnswer: -5, -97, -3907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100 - 1002?\nAnswer: -21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 3*u**2 + 6*u + 7. Let v be h(-3). Suppose 6*c = 10*c - v. Solve -3*y - 3 = c*f, f + y + 1 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ojooojoooooooooooooo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 455 + 467 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**3\/2 - 7*p**2\/2 - p. Let h be g(3). Solve 11 + 3*r**3 + 3 - h - 9*r**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5. Let w be q(-8). Suppose -3*f + n = -9, -2*n + w = -3*f + 3*n. Suppose -120 - 120 = -f*z. Calculate the greatest common divisor of z and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-2)\/7)\/(40\/(-480)*-8)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**5*p**2 + 14*h**4*p**3 + 16*h**2 - p**3 - 2*p wrt h?\nAnswer: 180*h**2*p**2 + 336*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-214602)\/90)\/(26\/38). Let j = r - -3485. Let x = -44\/65 + j. Is -2 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24865, 285, 2, 5 in decreasing order.\nAnswer: 285, 5, 2, -24865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 38*u - 27 - 171. Solve 0 = -u*a + 26*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2037474112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29051231.99 and 146?\nAnswer: 29051085.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + 13. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 4*c + 28, -3*c = -2*y + 17. Let k(m) = 7*m + 7. Calculate the remainder when k(y) is divided by (-4)\/(-6) + 34\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824a (base 11) to base 13\nAnswer: 4c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqqqqqaaqq. Give prob of picking 3 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/30 + 17*j**2. Let w(f) = 7*f. Calculate d(w(l)).\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*36\/(-8). Solve 5*a - 10 = -4*c - c, t*c = -4*a + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 262 - 262 - 17*t**3 + (-1 + 2 - 2)*(-5*t - 2*t + 3*t)*(-4*t**2 + 2*t**2 + t**2).\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6692616 to the nearest integer?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/18 + 2\/9. What is the nearest to 1 in o, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkidwdf. Give prob of picking 1 k and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3623253511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*f**2 + 2\/9 + 4\/9*f.\nAnswer: 2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*b, -k - 2*k + 5*b - 6 = 0. Suppose -4*y - 3*q = 2*q - 135, y - 38 = k*q. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3310?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0 - 0) + 48\/24. Let i(b) = -b**2 - 4*b + 5. Let s be i(-5). Solve 5*u + f + 7 = s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33786482167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f - 2 + 2 - 63*f.\nAnswer: -99*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -63*v + 3. Let c(x) = -1398*x + 1. What is c(y(n))?\nAnswer: 88074*n - 4193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 265 = 0. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44789315.\nAnswer: 5, 911, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18677 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50160 is divided by 49632?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 18, 19, 8, -21, -74?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 12) + 12 + (5 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**5 + k**4 - 8*k**3 - 5*k**2 + 3*k. Let y(q) = 5*q**5 + q**4 - 7*q**3 - 5*q**2 + 2*q. Let u(f) = 4*s(f) - 5*y(f). Factor u(a).\nAnswer: -a*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 + 2*t + 5. Let w(d) = -17*d**2 + 5*d + 14. Determine 3*w(o) - 8*x(o).\nAnswer: -3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -67. Let i = y - -82. Let g be (i + -10)*2*5. Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -247057.\nAnswer: -90\/247057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*k + 9 = 0, x - 633*k + 5 = -632*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -15.2\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8*j = 3*s - 11, -13 = 3*s - 4*j. Let s + 12 + 45 + 4*a**2 + 25 + 80*a - 7 = 0. What is a?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -18. Suppose -4*c = -c - g. Suppose -11 + 3 = -c*b. Solve -2*a - 4 = 3*h, 0 = a - b*a + 3*h - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 12. Let h be s(-11). Let m = h - -24. What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 3*j**2 - 6*j**2)*(6 + 2 - 5 + (1 - 4 + 2)*(0 + 0 - 2)) to the form n*j + b*j**2 + t and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.43335 rounded to zero dps?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1435, -2861, -4277, -5677, -7055, -8405, -9721?\nAnswer: -10997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10593302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299680*z = -299620*z - 3000 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 58 = -4*i - 6*o, -5*o + 10 = 0. Suppose -i = 3*h - 6*h. Suppose 59 = 57*p + 5*p - 313. What is the lowest common multiple of p and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -129.02 and 1248829.989.\nAnswer: 1248700.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + 255\/4. Suppose -3*c - 38 = -2*g - 2*c, 5*c + v = 3*g. Suppose 0 = -5*n + g + 42. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 5*b)*(-12498*b**2 + 12498*b**2 + 287*b**4).\nAnswer: 287*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:38 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 33*m + 118. Let l be y(29). Suppose -4206 = -2*x + 4*a, -l*a + 4203 = 2*x - 3*a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -97\/3 (b) 2 (c) 0.5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + (-1 - 0) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 6. Let l be h(4). Suppose -y + 80 = 3*y. Let c = y + -4. Calculate the highest common divisor of l and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 10 - 3) + -2 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 6, m: 1, r: 1, e: 1}. What is prob of picking 3 u and 1 e?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = -4*s - 11, -3*s + 12 = -3*z. Is ((-90)\/(-24) + 0 + z)*10124 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 13, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6493054 + 143090461\/22. Let a = -11060 + w. Calculate the common denominator of -15\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1420 divided by 3177\nAnswer: -1420\/3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(75) - (sqrt(75) + -3 + sqrt(75))) + 1 - (sqrt(75) + (-2*(-3 + sqrt(75)) - sqrt(75))))*-5)**2.\nAnswer: -8000*sqrt(3) + 31600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2 - 150*o + 405 = 0. Calculate o.\nAnswer: 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51)\/(-34) + 3\/(-2). Solve 5*x - x - 8 = o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/(-18)*(-18)\/7. Suppose 11*r - t*r = 0. Determine p, given that r - 2\/3*p**2 - 4\/3*p = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-25) + 4 + 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 1096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 + 5*r + 6. Let b(t) = t**3 + 5*t**2 - 6*t - 5. Let d be b(-6). What is the units digit of i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -15, -20, -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -3\/35*f**7 + 0*f + 0*f**5 + 0 + 0*f**4 + 37*f**2 + 0*f**6 + 2*f**3. What is the first derivative of i(d) wrt d?\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.00000024 + -20. What is x rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/(3*(-2)\/(-18)). Let n be ((-3)\/(-6) + (1 - 3))*z. Solve 2*f - 13 = 5*r, 3*r + n*f - 6 = -18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - -9)*4\/(-6). Suppose 5*v - 3 = 7. Differentiate v*i**y - 3*i**4 + 1 - 2*i**2 with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 93. Suppose x = -9*q + 2. Which is the second smallest value? (a) 3\/2 (b) q (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvjxxixgxjxvvxv. What is prob of picking 2 g, 1 j, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203940 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 14*w**2 - 8*w + 61. Calculate t(6).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 132771, 265552, 398335, 531120, 663907, 796696?\n\"Answer: b**2 + 132778*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30)*(-1)\/1*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28635462 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113 + 264 - 151 + 7793*n)*(0 + 0 - 2) + (-2*n + 3 - 3)*(5 - 1 - 2) to j*n + u and give j.\nAnswer: -15590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13393 and 7077860?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*p = -27 - 15, -3*p = -4*x - 37. Let l(r) = 127219*r**2 + 2*r + 15. Let u be l(x). Round u to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2298 - 2298 - 2*d**4 + 0*d**3 - 7*d - d**3 in the form p*d**4 + s*d + m*d**2 + z + t*d**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.4, -0.5, 40.4, -4 in increasing order.\nAnswer: -4, -0.5, 5.4, 40.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/37520 and -51\/6622280.\nAnswer: 13244560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-9) + (-2)\/(-9). Suppose -p*f - 2*f = -24. What is the remainder when 10 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*f + 329 + 243 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011002 - -220?\nAnswer: -1010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.906425 micrograms to milligrams.\nAnswer: 0.003906425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4400 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8860.71 days in nanoseconds?\nAnswer: 765565344000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/19 + 39\/76. Factor 1\/4 + n*u**2 - 1\/2*u.\nAnswer: (u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/270*9)\/(10\/(-3)). Which is the closest to -1? (a) -2 (b) -5 (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785826 is divided by 98193.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 877607000 rounded to the nearest 1000000?\nAnswer: 878000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:38 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 308139, 308090, 308041, 307992, 307943, 307894?\n\"Answer: -49*s + 308188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l. Let f(v) be the third derivative of 0*v**4 - 2*v**2 + 0*v**3 - 1\/30*v**5 + 0 + 0*v. Give y(f(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -141.\nAnswer: 8\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(6*a - 4*a - 4*a) + 2 - 2 + a - 3*a + a + 3*a + 0*a - 2*a - a + 1 - a - 1.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/192*(-9)\/372.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*d + 14*d + 18*d + (-3 + 3 - 1)*(2*d + d - 4*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -806 + 3*h + 0*h + 1025 in the form n*h + t and give t.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -240. Which is the biggest value? (a) 2\/11 (b) -0.8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f)**(-6)\/(f\/f**(-1\/4)*f*f**(4\/5)*f) assuming f is positive.\nAnswer: f**(-561\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -0.2, -3\/8, 86603 in increasing order.\nAnswer: -5, -2, -3\/8, -0.2, 86603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2983\/36 + -736\/9. Let a = -16\/911 + 37799\/25508. What is the common denominator of a and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 - 0.06. Let f = -26 + z. Let a = -24 - f. What is a rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33496?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*q + 26 = 2*q, -q = d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*h + 470 = 0, 3*h = -5*s + 7*h + 1208. Suppose s = 5*r - 5. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -83125*t**2 + 55*t + 2. Let p(h) = -2*h. Give p(a(k)).\nAnswer: 166250*k**2 - 110*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215844 divided by -692?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-108)\/45)\/((-3)\/(-10)). Let a be ((-3)\/(-2))\/((-6)\/t). Suppose -w + 25 = 3*f, 0 = -a*w + 4 - 2. Let k(l) = -l**2 + 6*l + 8. What is k(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 9*m - 48 = -4*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -0.3, -0.19, 4, 1\/13?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 137\/2 - 1\/4*o**3 + 67\/2*o**2 + 409\/4*o = 0.\nAnswer: -2, -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 132.\nAnswer: -131.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 28*y - 275 = -21*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1241\/11 - 113. What is the closest to d in 1, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -151*i + 1511. Calculate h(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2971025 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/14))**(-3\/20) assuming y is positive.\nAnswer: y**(-51\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/4 - (-6)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.099 (c) -244\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237182?\nAnswer: 2, 11, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38c79 (base 15) to base 8.\nAnswer: 542671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) + (sqrt(250) - -2*sqrt(250))*1 + sqrt(250))*-6)\/(sqrt(500)*-6 - sqrt(5) - -6*sqrt(30)\/sqrt(6)).\nAnswer: 30*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318 and 848?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -381, -761, -1115, -1431, -1697, -1901, -2031?\n\"Answer: 2*n**3 + n**2 - 397*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:53 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9503*q**3 + 16637*q wrt q.\nAnswer: -57018*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.23 - -0.23. Let n = -57076\/7 - -8154. Which is the closest to n? (a) -3 (b) x (c) 0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6075169 tonnes to milligrams.\nAnswer: 607516900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.22 - 0.22. Which is the biggest value? (a) o (b) 3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Suppose -9 = -a + v. Let c = a - -8. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1152)\/(-52) + 2\/(-13). Let b = f - 24. Let r(o) = 82*o + 4. Let s be r(b). What is s rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let q(p) = 34*p + 6. Let b be q(3). Let n be (-37)\/(-45) + (-24)\/b. What is the third biggest value in a, 2\/5, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -3 (c) -195 (d) 3 (e) 18 (f) -1 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -27605, 1, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -116. Suppose 0 = k + 32 - 39. Let i = m - k. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90619.41 days in hours?\nAnswer: 2174865.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 + 3*g**3 - 4*g**3 + 0*g**2 + 1 - g**2. Let o be i(-7). Suppose -b - o = -5. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6764956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13154400 by 24360.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1303088, 4, 2\/5 in increasing order.\nAnswer: -1303088, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obxmqqax. What is prob of sequence bbam?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/132 and -14\/75.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 8*z**4 + 10*z**4 - 4*z**4 + 56*z in the form n*z**3 + l*z + t + u*z**4 + w*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53)\/(1325\/(-5110)) + 2\/(-5). Solve -j - 202 = 58*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 340170?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 + -498. Let m(l) = l - 9. Let z be m(6). What is the nearest to 0.2 in p, -2, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000207218 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 - 2491784.\nAnswer: -2491534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:22 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 830*d + 55633. Calculate s(-68).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/5 - 84\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.333024 - 1484?\nAnswer: -1546.333024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.004834 centimeters?\nAnswer: 30048.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239084 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a factor of 42321124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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 t = -155\/588 + 2\/147. Let q(c) = 5*c**2 - 1. Let a be q(1). Suppose -k = -a*k. Is k at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:35 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/4 + 200*n**3 + 80399*n**2\/2 + 79800*n + 159201\/4 = 0?\nAnswer: -399, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1217089 and -5.\nAnswer: 6085445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -508.78 + 513. Let s = o - 0.22. Let f = 0.3 - 1.3. Which is the closest to f? (a) -0.3 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 52. Suppose -2*y - 4*t + 16 = 0, -4*y = -8*y + 3*t + 10. Let g be (0 - 0 - y)\/(-1). Solve g*j = n - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*g = -t + 609*g, 4*t + 3*g = 23. Solve -s - 1 = -w, 4*w + t = 125*s - 124*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -7)\/((-2)\/38). Suppose -2*j + 4*g = -49 - 27, -3*j + d = g. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 121055293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -34) + 27 - (1 + -4 + 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) 0 (c) 709763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1210 by -10.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/1292)\/((-2)\/(-19))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)\/s)\/(s**9*s))**(-15)\/(((s*s\/s**(1\/2))\/(s*s*s**7))\/(s\/(s\/s**(-3\/4))*s*s*s\/(s**(-3\/5)\/s*s))) assuming s is positive.\nAnswer: s**(6207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-181 + 181 - 3*y)*(-4*y + 4*y + 17*y**3) + 6*y**4 - 4*y**4 - y**4 to the form w*y + v*y**4 + h*y**2 + p*y**3 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/375*-5)\/(738\/(-45)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4\/8 + 361*b**3\/8 - 1401*b**2\/2 + 7281*b\/2 - 6210 = 0.\nAnswer: 4, 6, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 21. Let v be b(-11). Let w be ((-8)\/v)\/(14\/49). Sort 0, w, -1\/3.\nAnswer: -1\/3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -7\/101 (c) 0 (d) -0.08 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140530 divided by -10.\nAnswer: 14053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-seven fifths of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let w(c) = -4*c. Let h = 4 + -4. Let x be -2 + 1 + h + 3. Let q(m) = -m**3 + 12*m**2 - 10*m - 8. Let b be q(11). What is b*f(r) + x*w(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) -5 (c) 13\/9 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -23*s. Let a(r) = -82*r**2 + 42*r**2 + 38*r**2. Give y(a(d)).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 - 1273855184\nAnswer: -1273855185.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -104300 divided by -298?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 200002001102112 (base 3) to base 8\nAnswer: 44512310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + 10842\/61722. Let i = -34\/81 + y. Let n = -9531\/1016 + i. Find the common denominator of n and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 143. What is the remainder when r is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 99. Let d = 1459.3 + -1386. Let l = j + d. What is l rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7374*y + 376 = 7382*y. What is the remainder when y is divided by (-117)\/6*(-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j + 2*p + 6 = 0, 9 = -3*p. Suppose 2*m + j*m = 0. Suppose 17 = 3*g + 4*t, -2*t - 5 - 3 = m. Calculate the greatest common factor of 77 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + m**3)*(-3 - 2 + 4)*(-8*m**2 + 0*m**2 + 25*m**2).\nAnswer: -34*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, -3\/160, 3, -5, -6\/7 in increasing order.\nAnswer: -5, -6\/7, -3\/160, 3, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 4*f**2 - f - 2. Calculate the remainder when 29 is divided by a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.2, 0.5, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 64887604 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.12. Let l = h + -0.42. Put -3\/5, l, 4, 0.3 in descending order.\nAnswer: 4, 0.3, l, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141 + -2 + 5)*((-649)\/22)\/(-59)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 692 + -294. Let z = -617 + b. Let m = z + 442. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39824244?\nAnswer: 2, 3, 368743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -2 (c) 2\/11 (d) -1 (e) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 1 - 2)*(-903 + 613*k + 903) to the form v + p*k and give p.\nAnswer: 4291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3396 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(-3 + sqrt(204)\/(sqrt(72)\/(sqrt(30)\/sqrt(5))))*-2.\nAnswer: -40*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33662*x - 6596*x = -362*x + 3291360 for x.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -0.4 (c) 0.2 (d) -0.5 (e) -5 (f) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(52*b**3 - 2*b**4 - 52*b**3 - 5*b**2).\nAnswer: 2*b**4 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/((-10)\/(-4) - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnyohyahyh. What is prob of sequence on?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 6. Is 3 + (89 - (5 + q)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z**(-11)))\/(z**8\/z))\/(z**(1\/5)*z**9))**(-2\/9) assuming z is positive.\nAnswer: z**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 3814375?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/34? (a) -2 (b) -0.02 (c) 20 (d) -2\/9 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = 3*a. List the prime factors of 171 + (a\/2)\/((-3)\/(-6)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3 + 806*u**2 - 9052*u + 23184 = 0?\nAnswer: -414, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5115 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2*r**3\/3 - 97*r**2\/2 - 231*r - 12099. What is j(-46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1089*t. Let d(z) = 137*z**2 - 2*z. Give w(d(y)).\nAnswer: -149193*y**2 + 2178*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3) + 2 + 4. Suppose -d*i + 10 = -4*i. Suppose -4*t + 174 = -k, t - 98 = -t - i*k. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -0.2, 0.1, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1255 + -30324113?\nAnswer: -30325412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(220\/451))\/(1\/(-5)). Let w = -108 - -105. Sort w, s, 4 in decreasing order.\nAnswer: s, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79696635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 634*y. Let a(m) be the third derivative of 3*m**5\/20 + m**2 + 13*m - 232. Determine w(a(c)).\nAnswer: 5706*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19004*h*l - 85886*h + 2*l with respect to l.\nAnswer: -19004*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 79*n + 24)*(10267 - 10267 + 122*n).\nAnswer: -9638*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/9978 and -49\/1776084?\nAnswer: 1776084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2\/9, -2, -5\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (3 - 1)) + (-698 - -675)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6)\/4)\/((-268640)\/14720)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, -2, 176, 5.\nAnswer: -2, -0.3, -1\/6, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*t - 119, 0 = -s - 2*s - t + 204. Let k = s - 45. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 142*o - 24 = 138*o, -o = 5*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(567) + 2*(sqrt(567) + 1) + sqrt(567))**2.\nAnswer: 144*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6112.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -1858\/15. Which is the third biggest value? (a) t (b) 0.2 (c) -2\/21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -106055, -425075, -957057, -1702001, -2659907, -3830775, -5214605?\n\"Answer: -106481*y**2 + 423*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*u + 19 = 0, -27 = 2*h - h + u. Let k = -3 + 7. What is the common denominator of h and 1 + k\/(-2) + 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02542152 to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(57)\/sqrt(3)*1)**2 - (sqrt(19) + (3*sqrt(19))**2*4).\nAnswer: -608 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let z be (-3)\/5*(-12 - o). Which is greater: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6605, 13153, 19701, 26249, 32797?\n\"Answer: 6548*j + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*x**3*z**3 + x**3*z + 2*z**3 - 8*z wrt z.\nAnswer: 504*x**3*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7488)\/(-2340))\/(1 + (-12)\/10)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - s**3 + 89*s**2 + 6*s**4 - 3*s**4 - 93*s**2 to u*s**2 + h*s + k*s**3 + f*s**4 + m and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4956 - -5004.46. Let l = 49 - h. What is l rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5 - 17*l + 2*l - 7*l. Let p(d) = d. Let i(t) = -3*p(t) - v(t). Is i(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsgsjjmjfsgggwj. What is prob of picking 2 j, 1 g, and 1 m?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7))**(-29\/2) assuming c is positive.\nAnswer: c**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:16 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.006, -4, -1, -0.04, -0.45, 2\/27, -3?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1361\/36 + 153\/4. Suppose 93*j = g + 91*j - 4, -3*j + 20 = 5*g. What is the biggest value in 0, g, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-2)\/20)\/(6\/195)*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 r when three letters picked without replacement from nhnnhhnrrahnnrnnhn.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35198 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58516826.\nAnswer: 2, 83, 352511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(r**(-2\/23)\/r))**(-4\/37) assuming r is positive.\nAnswer: r**(-192\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216 - 208) + -1 + -6 - (2 - -1 - -21).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 16*u + u**3 + 5*u in the form b*u**3 + p + t*u**2 + l*u and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = h - 8, -n - 13 = -4*h - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 5. Let r be a(7). Let i = 18 - r. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175, -211, -291, -427, -631, -915, -1291?\n\"Answer: -2*i**3 - 10*i**2 + 8*i - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12453, 24888, 37325, 49764, 62205, 74648?\nAnswer: 87093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) 2\/43 (b) -0.3 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 52 = 6*l. Suppose 3*b = l - 8. Let s = 454 - 450. Solve t = x - 3, -s*t - 9 = -x + b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 339948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.82 + 2.85. Let j = n + -0.03. Let y = 4.04 - 0.04. Sort -0.5, j, y in descending order.\nAnswer: y, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656895 is divided by 391.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 9. Suppose 1705 = 438*y - 1361. Let d(k) = -3*k**2 - 8. Let w(z) = z - 1. Let c be w(-5). What is c*b(s) + y*d(s)?\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 4*u - 2. Suppose 3*j - 4*z - 84 = -0*j, 73 = 2*j + 3*z. Suppose j - 12 = -2*v + 4*p, -2*p = -4*v - 22. What is m(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4, 0.38, 0.3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5003*v = -5024*v + 1785 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8981 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 305838?\nAnswer: 3058380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose -z*o + 4 = 16. Let q = 1135 - 1142. What is the biggest value in 1, q, 2\/11, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -5. Let u be (1 - (3 - 1)) + y. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12638 is divided by 2104?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31085?\nAnswer: 5, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**3 - g**2 - 3*g - 2. Let r be k(-2). Suppose -2*q + r = -42. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*r - 265, 2*r + 5*i - 35 = r. Let m(v) = -v**2 + 16*v - 8. Let d be m(16). Let c = 2 - d. What is the greatest common factor of r and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/22 + 1\/((-77)\/42). Are 2\/1419 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t + 2. Let k be o(0). Is 24 a factor of 15\/20*208\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3183571*b**3 + 3432901*b wrt b.\nAnswer: 19101426*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-5 - 3)) + -4 + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/4 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.6309\nAnswer: -3.2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 = 179*r + 756 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 2 = 0. Find g such that -10*g**3 + 18*g**2 - 14*g + j*g**4 + 1 + 7 - 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 9, -11, 5, 1, -5.\nAnswer: -11, -10, -5, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0692188 to 4 dps.\nAnswer: 0.0692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.144 + -3.856. Let w = -0.074 - -0.474. What is the closest to 0.3 in r, w, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5 + 4. Let t(m) = m. Let n(j) = 17*j + 6. Let i(u) = -13*u - 2. Let k(r) = i(r) + n(r). Determine g*k(z) + 3*t(z).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/247 or -2?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/4 - 42499*d + 1806165001 = 0. Calculate d.\nAnswer: 84998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119608*j**6 - 2*j**2 + j + 8395 wrt j.\nAnswer: 14352960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -4*a**3\/3 + 3*a. Let k be d(2). Let w = k + 22. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:58 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 770167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 5, 3, -201 in increasing order.\nAnswer: -232, -201, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/137255569 and 8\/1302235.\nAnswer: 686277845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289838*s + 289838*s - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and (-437914)\/(-1041) + -2*(-3)\/(-9)?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let r(w) = -w**2 - 5*w - 2. Let u(g) = 28*g**2 + 55*g + 22. Let f(m) = -44*r(m) - 4*u(m). Calculate f(p(i)).\nAnswer: -272*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455775 and 21?\nAnswer: 3190425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*i**3 - 43*i**2 - 2*i wrt i?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -81*j**2 + 6462*j + 8026. What is g(81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -5) + 7 + -15. Let i be q\/(-24) - (-3 - (-19)\/6). Let f be 18\/(-150)*(-2)\/(-3). Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (-40)\/(-32))*(-2 - -2230). Suppose t + 491 = 15*m. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9624175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 39*t - 2 - 2042*t**2 + 13*t + 2041*t**2 + 6 + 2*t**3 to n*t + f + a*t**2 + b*t**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-4))\/((-25)\/(-80)))\/((-438)\/5475)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**8\/8 + 7*i**4\/6 - 5*i**3\/3 + 13*i. Find the third derivative of c(w) wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12490900 and 2.\nAnswer: 12490902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-4*sqrt(55))\/sqrt(5) + -6*sqrt(66)\/sqrt(6)*5)**2 + -5)*2.\nAnswer: -272*sqrt(11) + 25430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j + 158*j - 1363 = 36*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 42*y - 60. Let r be k(-31). Suppose r = h - 14. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 1 + 1 - 4*(0 + sqrt(891))) + 4 + sqrt(891) + -4 + (sqrt(891) - (sqrt(891) + 0)) + 5)**2.\nAnswer: -252*sqrt(11) + 3613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 778241 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: Solve 0 + 5 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -0.096 (c) 183\/4 (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, -0.03042?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (32 + -36 - (-8 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dwwddddbqdbddbq.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1706881 = 2*o - 5*f + 520369, 5*o = -2*f + 2966309. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-3 + 1) - 5. Find the third derivative of -g**2 + 2285*g**x - 3*g**5 - 2286*g**3 + 40*g**2 wrt g.\nAnswer: -180*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1.9\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -70.01 and 0.3.\nAnswer: -69.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -795*n + 96145. Give m(121).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/21 + 3)*411429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5856575 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 234752569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 2*d**6\/5 + d**3\/6 - 22*d. Find the second derivative of c(y) wrt y.\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 9. Let n be f(-8). Let b be 0 - (0 + n)*-4. Solve 0*v + 2*v + b = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z**2 - 3*z**4 + 0 + 6 + z**4 + 32*z**2 in the form s*z**2 + b*z**4 + q*z + f + r*z**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325101\/20 or -16254?\nAnswer: -325101\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w**2 + 15*w - 15*w)*(-w + w + 3*w)*(1 + 2 + 0).\nAnswer: 135*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i. Let l(x) = x**2 + 20*x. Give w(l(c)).\nAnswer: 7*c**2 + 140*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001478463 rounded to 5 dps?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 154819881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 - -222. Let j = 296 + w. Which is the biggest value? (a) -5 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 61 = -192 + 49 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284470.4 nanograms to kilograms.\nAnswer: 0.0000002844704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**3 + 10*f**2 - 4*f. Let s(w) = 10*w**3 + 8*w**2 - 5*w. Determine -5*s(v) + 4*t(v).\nAnswer: -10*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 + 2. Let x be r(2). Let s be (286\/12 - (-2)\/12)\/x. Solve 3*j - s = 0, 0 = -3*c - 2*j + 3*j - 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 + f. Suppose n + 18 = 4*n. Let b be i(n). Solve 0 = -b*x + 2*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44884810?\nAnswer: 2, 5, 97, 46273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371*-0.54777.\nAnswer: -203.22267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-245)\/(-133) - 3\/(-19). Suppose -16\/5*r**q + 0 - 8\/5*r - 2\/5*r**4 - 2*r**3 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -2, 0, 45, -5 in descending order.\nAnswer: 45, 7, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2423*n - 4146*n - 2854*n - 4174*n - 8437*n)*(-1 - n + 1)*(-4*n + 3*n - n) as u*n**3 + z*n**2 + j + k*n and give u.\nAnswer: -34376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = j - 0*j - 16, 28*z - 386 - 250 + 98 = -10*j for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 32*h - 120. Let c be 16 - 13\/(39\/36). Determine n(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:01 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (0 + -2))\/(11\/110). Let g be -8*-1*5\/a. Solve 3*x - x + g = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 5*a**3 - 6*a**3 - 6)*(-30 + 19 - 20)*(-2*a + a - a).\nAnswer: -62*a**4 - 372*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 141778 = 8*m, -5*m + c - 17725 = -6*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (2 + sqrt(1584) + 1 + sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(1584) - ((1 + sqrt(1584))*-5 - sqrt(1584))) + 0 + 2))**2.\nAnswer: 85536*sqrt(11) + 4623300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -75?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -6 in descending order.\nAnswer: 15, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3*4 + 4 - 6*(-2*sqrt(117)*2 + sqrt(117)))**2.\nAnswer: 144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 + 2011 = 686*m + 5931 + 17457 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**5 + t**2 + 3*t. Let c(v) = -3110*v**5 - 602*v**2 - 6*v. Let l(g) = c(g) + 2*h(g). What is the third derivative of l(q) wrt q?\nAnswer: -186480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 99. Let y be o\/12 - 6\/8. Solve 0*z = y*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**5 - 31*o**4 + 6*o**3 + 31*o**2 + 11*o + 11. Let t(f) = -f**5 + 6*f**4 - f**3 - 6*f**2 - 2*f - 2. Let h(d) = 2*i(d) + 11*t(d). Factor h(y).\nAnswer: -y**2*(y - 4)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 5*c - 2*c**3 + (c**3 + c**3 - 5*c**3)*(3 - 4 + 4).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98032 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-8) - 18\/24 - -56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1568, -4 in descending order.\nAnswer: 1568, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21*c + 5. Let x(b) = -22*b - 4. Let j(g) = 4*g + 1. Let d be j(1). Calculate d*i(a) + 6*x(a).\nAnswer: -27*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21629 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/27 + 1\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 16. Let r be c(6). Let s be (-8)\/r + 7733\/(-1936). Let w = -355\/528 + s. What is the third biggest value in w, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from sjjsj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/76850 and -23\/4350?\nAnswer: 230550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 144*a**2 - 12*a + 29. Let u be h(2). Solve 575*s + 36 = u*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6069)\/(-238))\/((-5)\/(-30)*45\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t. Let y be s(0). Let z be 4\/6 + 0 + y. Let k be (-10)\/14 + -1 + 2. Which is the nearest to 0? (a) k (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/8, -4\/3, 1, 9 in ascending order.\nAnswer: -4\/3, -1\/8, -0.1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, 0 in descending order.\nAnswer: 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -887400 by -2610.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23666, -23598, -23526, -23450, -23370, -23286, -23198?\nAnswer: -23106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -19\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2897*z - 2528 = 5787*z - 2906*z. What is the remainder when z is divided by 102?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + -4 + -4 + 3 - (-2 + (sqrt(567) - 2*(sqrt(567) - -1*sqrt(567)))**2).\nAnswer: -5106 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 = -3*o - 14, 3*o - 2*g = 1. Find the third derivative of 3*d**2 + 13*d**o - 2*d**2 - 4*d**2 wrt d.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -158*q**3 + 16*q**2 - 18*q - 12. Let y = -64 - -52. Let r be f(y). Suppose 6*v + r + 462468 = 0. What is v rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*z - 12, 3*z + 4*y - 2*y - 9 = 0. Solve -5*u + z*u - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let g = 0.53 - 0.93. Which is the smallest value? (a) g (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -352079, -352074, -352069?\n\"Answer: 5*w - 352084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:23 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -4 + (-5 - -9) - (-51 + 42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 10096 = -32766. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z. Let q(f) = 24*f**2 - 12*f. Determine q(y(s)).\nAnswer: 96*s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (51 + -52)*(-7)\/((-147)\/(-6)). Let z = 1.1 + -0.1. What is the nearest to z in 0.4, -0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14807321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 - 3*v - 1. Let i(w) = -w**2 + w. What is -5*i(y) - k(y)?\nAnswer: -4*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + (-55)\/(-22). Suppose k*s + 2*s - l = 122, l = 2. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 + 8*o**2 + 3*o**2 + 29*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, z: 2, t: 1, c: 1, v: 2}. What is prob of picking 1 c and 1 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + 3 - (-3)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243840 + 165024. Let j = c - -49816. What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 + n. What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 5 + 2 + 2*g**2. Calculate the remainder when u(-7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-6) + 4\/(-9) and -83\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2522434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 1.3, 0.01, 0.15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 - z + 1. Let q(w) = w**2 + 10*w + 5. Let n be q(-10). Suppose n*u = u + 120. Suppose 2*t - 3*t = m + 8, 3*t + u = -5*m. Give p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34516649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49900905 divided by 3?\nAnswer: -16633635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*v - 5 = -17, 2*v - 21 = -3*c. Suppose -16*w + 3*w**2 + c*w**2 - w**3 - 4*w**2 = 0. What is w?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175884 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - y + 28, 70493 = -21*y + 70577 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.72 and -1.861.\nAnswer: -18.08892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8*t - 11\/3*t**2 - 1\/3*t**5 - 23\/3*t**3 - 3*t**4 + 20\/3 = 0?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 16. Solve s + m*s + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/o**16)\/o)\/o)*o*o\/(((o**(-4\/9)\/o*o)\/o)\/o*o))\/((o*o**6*o)\/o)**(2\/91) assuming o is positive.\nAnswer: o**(2491\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(114))\/sqrt(6).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 535?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) - 5*sqrt(648) - sqrt(8)))**2 - (2 + -2*sqrt(13) + sqrt(13) - (sqrt(104) + sqrt(104)*2)\/sqrt(8)).\nAnswer: -4037\/2025 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*i - 600 - 790 = -207*i + 960 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.259, -88, 1\/5, -2?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 - 7*i**2 - 19*i**2 - 66*i**2. Let n be m(-1). Calculate the remainder when n\/8*4*-1 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 2*k**2 - 3*k**2 + 2523.\nAnswer: -k**2 + 2523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 6136.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 157 = 609 + 298 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*s - 102 = 0, -4*k - 47 = s - 183. What are the prime factors of 3 + k\/(-1 - 3\/(-2))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -530272 and -0.2.\nAnswer: -530272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43425 + 38319 = 2285*c + 13861 + 10758 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 17 + -4 + -21 + -11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtrvrrdr. What is prob of picking 1 r, 1 t, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10480.9999979444 + -10481. Round a to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {z: 3, g: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231408.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and 183557.\nAnswer: 183555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425728 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9215*w + 4599*w + 4616*w - 18891*w**2 to the form j*w**2 + y*w + v and give j.\nAnswer: -18891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50029*r**2 - 12034*r**2 - 2995*r**2 - 19066*r**2 - 15810*r**2.\nAnswer: -99934*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42120.936ns in hours?\nAnswer: 0.00000001170026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-631*o + 203*o + 199*o)*(-2 + 5 - 1 - o).\nAnswer: 229*o**2 - 458*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - ((-10 - 0) + (-2 - (8 - 24)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4*1\/7)\/((-270)\/135)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2717\/15 - -181. Let z = -0.58 - 3.32. Let h = z - -6.9. Which is the closest to 2? (a) 0.3 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-3)\/(-8))\/(345\/92)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - -6) + 5 + -1 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1, 82369, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-36)\/(-6) - 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 670*k + 10360.\nAnswer: -5*(k - 14)*(k + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.70486 - 27.358. What is f rounded to 3 dps?\nAnswer: -0.653","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 7*z + 3. Let c be s(-7). Suppose -c*o + 0 = 4*t - 16, -2*t - 2*o = -10. Let w be 8\/(-5) - (0 + -2). Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)*b*b)**26*(b*b**(-2\/7))**(5\/8)*(b\/((b*b\/((b\/(b\/(b\/(b*b**0))))\/b*b)*b*b*b)\/b*b))**46\/(b\/((b\/b**(1\/4))\/b*b))**(-8\/9) assuming b is positive.\nAnswer: b**(-61823\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 3. Let p be g(-3). Let h be (-2)\/(-8) + 22\/8. Suppose -h*u + 12 = -p*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 1, v: 3, e: 2, r: 3}. What is prob of sequence ervc?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*r - 0*r. Suppose -4*f - 254 = -r*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 30*k + 45. Let n(o) = -14*o - 21. Let b(z) = 6*j(z) + 13*n(z). Suppose -3*l = -18 + 48. Let i(c) = -c - 1. Give l*i(r) + 4*b(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4268, -4277, -4300, -4343, -4412?\n\"Answer: -d**3 - d**2 + d - 4267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 - 174*p + 256. Let n be y(42). Solve -g + n*s = -5*g + 12, 2*s - 12 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001 - -2.001. What is the smallest value in t, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34197003 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 34\/(-6))*252\/15. Let v = h + -41. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -8. Suppose -1 = y, -4*b + 3*y + 16 + v = 0. Suppose 0 + 15 = b*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6668, 6658, 6650, 6644, 6640, 6638, 6638?\n\"Answer: p**2 - 13*p + 6680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-558)\/60)\/((-12)\/(-10)))\/((-371)\/8904). Calculate the greatest common divisor of 7874 and x.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 2*n = 48. Suppose -m + n = -22. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 10. Calculate the least common multiple of q(0) and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108483690 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 53*t**2 - 393*t - 710. Determine a(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 25. Let g be d(-22). Calculate the highest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 + -768299473?\nAnswer: -768297970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/20502 and 5\/59228.\nAnswer: 533052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 0, -4*h = l - 15. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3178554 and 92?\nAnswer: 6357108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - t - 21. Let x be (-96)\/(-9) - 2 - t\/(-9). Solve -3*z - 18 = -x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3*5\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from zylusgls?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(1 + sqrt(63) + (3 + sqrt(63))*1)**2.\nAnswer: 240*sqrt(7) + 1342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*f = 18, 0 = -3*m + m + 3*f + 2. Suppose 0 = -m*x - 222 + 6. Let d = x + 95. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3537483 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3917*l - 1458*l = -1181*l - 1398*l + 151140 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -1.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/47? (a) -2 (b) 20 (c) 3 (d) -0.01 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1429 - -7143\/5. Put -0.5, -0.03, 17, b, 5 in decreasing order.\nAnswer: 17, 5, -0.03, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767088?\nAnswer: 2, 179, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -11a?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21135 + 45 = 3473*q - 6616*q + 3713*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/11 + 60*x**2\/11 - 304*x\/11 - 2304\/11 = 0.\nAnswer: -4, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364381.\nAnswer: 3, 262709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -17 - (-14 + 20) - (-3 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4469, -4633, -4797, -4961, -5125?\nAnswer: -5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -275, -275, -277, -281, -287?\n\"Answer: -d**2 + 3*d - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-7))\/(1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - 25, 4*g = 3*t + 1. Let q(c) = 2 - 4 + 6 - c. Calculate q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153824940 and 171450?\nAnswer: 769124700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(3\/2)\/g)\/g)\/g**5)\/((g\/((g\/(g**0\/g*g*g)*g)\/g))\/g)**(-10\/13))**(3\/5) assuming g is positive.\nAnswer: g**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3 + 21. Let z = -5 - k. Solve -d + 18 = 6*p - 3*p, 3*d - 2*p + z = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than 299170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 times -108?\nAnswer: 153792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 25*f**7\/42 + 5*f**4\/12 - 25*f - 18. Let l(z) be the first derivative of j(z). Find the third derivative of l(b) wrt b.\nAnswer: 1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 54 + 18. Sort 5, 3, g in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i - 6. Let p(r) = -r**2 + 3*r - 5. Let x(o) = 5*m(o) - 6*p(o). Determine s, given that x(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 98. Let x = -0.1 - -5.1. Let o = -4.7 + x. Which is the second biggest value? (a) -2 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 93. Let n = 127 - j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 164*f - 2492. What is i(-51)?\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - m = 7*u - 6, 5*m + 18 = 4*u. Suppose 0 = c - 4*t - 243, -19 = 4*t - 11. Suppose -c = -u*j + 21. What is the greatest common factor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/24 - q**4\/12 - q**3\/3 - 3*q. Let m(k) be the second derivative of t(k). Differentiate m(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - -35. Let n be 2\/(-7) + 64\/u. Are n and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3, 2\/9, -4, 0, -1, 58\/93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1479 - 1478.999991972. Round u to 7 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79.03915 hours?\nAnswer: 4742.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 - (-1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107.8 - -125. Let s = u + -3.2. Let t = s + -19. Which is the third biggest value? (a) -3\/4 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.2 - -109. Let x = u - 52.8. Let w = -14 + 69\/5. What is the nearest to -2\/3 in x, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cisqmcsssmim?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/5 + 294*x**3\/5 - 4563*x**2\/5 + 3888*x.\nAnswer: -3*x*(x - 80)*(x - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/49315 - -29096297\/22043805. Let w = f + 2\/149. Factor w*m**2 + 0*m + 0*m**3 - 2\/3 - 2\/3*m**4.\nAnswer: -2*(m - 1)**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.355 + 38.1. Let f = k - -0.755. What is the closest to -2\/17 in -0.4, -2, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*o - 203 = 425*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 24 - 9 - -1) + (-96)\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.56 (b) 2\/9 (c) 3\/10 (d) 1\/4 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0760839 times -0.4\nAnswer: 0.03043356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(10)\/sqrt(50) - (sqrt(245) + 2).\nAnswer: -29*sqrt(5)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose -z - 3*b + 2 - 4 = j, b + 1 = 0. Find the third derivative of -2*i**2 - 4 - 4*i**4 + z + 3 wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -69010 + 69010 + 8*w**2. Let u(c) = 12*c**2. What is r(u(k))?\nAnswer: 1152*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1078 - -1081. Let u = 3 - 0. Find the third derivative of 23*h**6 - 3*h**3 + 38*h**2 + a*h**u + 0*h**3 wrt h.\nAnswer: 2760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(160\/1200*15)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218272603.\nAnswer: 53, 419, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 211836471 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*l + 30. Let y = 15 - l. What is the units digit of -6*y\/(-3)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 22901250*g - 43705604296875 = 0.\nAnswer: -3816875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7 minus -8.30911?\nAnswer: -13.39089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/70)\/((-352)\/(-80)*(-1)\/1).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 1. Let a be (12\/(-4) - -5)\/2. Let j(n) = -2*n**2 + 2*n + 2. Let m(u) = a*j(u) - 3*v(u). Suppose 0 = -4*s + s - 9. Determine m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.77. Let f be 4272\/(-5696) + (-2)\/(-8). Which is the nearest to 0? (a) h (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -183180*r. Let s(q) = 2*q. Calculate s(d(k)).\nAnswer: -366360*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - k = 33, 2*f - 3*k - 28 = -9. Suppose -f = -z - 0*z. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3505655 (base 8) to base 13\nAnswer: 274b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 819202070 and 2540.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203232 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(200) - (1 + sqrt(200)))**2 + -2 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29149, -28938, -28721, -28498, -28269, -28034, -27793?\n\"Answer: 3*c**2 + 202*c - 29354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027467 rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*p**2*y**2 + 5*p**2 - 56*y wrt y.\nAnswer: 320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.92844 + 0.07156. Sort 0.5, 3.93, 3, j in descending order.\nAnswer: j, 3.93, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -131*l**5\/12 + 288*l**2. Let g(c) = -c. Give g(h(i)).\nAnswer: 655*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 1694\nAnswer: -154154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 + -164. Suppose -p*j + 5*j + 235 = 0. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11 - 3 + 6*u**2 + 19*u - 17. What are the prime factors of a(6)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0152 - -1.7368. Let t = u + -0.152. Let m = -0.9 + 0.5. Sort -4\/3, t, m.\nAnswer: -4\/3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160641*s + 296598.\nAnswer: 160641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 1295*o + 83369. Determine s(59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let o(n) be the second derivative of -3*n + 0 + 0*n**2 - 1\/6*n**3. Calculate o(u(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(150))\/sqrt(4))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/55 + -304\/1595. Let a = s - -84\/319. Let q = -1 - -1.5. What is the third smallest value in q, -5, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24899 - -24898.999988707. What is d rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c - 2*c + 1280. Which is smaller: 79 or c?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459085841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/20 (b) -2 (c) -4\/9 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/((-54)\/20))\/((-2)\/3). Let b(t) = -214*t + 19 - 214*t + 647*t - 222*t. Give b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/((-2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835236?\nAnswer: 2, 3, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmtmttmmt. Give prob of picking 3 m.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:31 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17248, -17223, -17208, -17209, -17232?\n\"Answer: -z**3 + z**2 + 29*z - 17277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + 0*i)*(-2 - 4 + 3)*(-8*i + 8*i - 5*i**2).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s**2 - 220*s - 898. Determine j(-5).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 6*y**2 - 10 + 2*y**2 - 5*y**2 + 2*y**2 - 4*y**2 + 0*y**2 + 3*y**2 + (-3 + 2*y + 3)*(y + y - 3*y) + (13*y**2 - 229*y**2 + 56*y**2)*(-1 - 2 + 2).\nAnswer: 150*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*((0*j + 2*j - 4*j)*(-j + 3*j - 4*j) - 2*j + j**2 + 2*j + (-3 + 4 + 0)*(-j**2 + 2*j**2 - 3*j**2)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31\/7, -3, -2875\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 4*o + 3*o - 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -3, -2504, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - w, 5*r = 3*w + 4. Which is the biggest value? (a) 0.4 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*x - 118*x + 304 + 56*x - 5*x**2 + 8*x**3 wrt x?\nAnswer: 24*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -882+-550266\nAnswer: -551148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -42 - 15. Let l be 7*((-85)\/(-35) - -3). Suppose 0 = -2*s + 10, s = 5*d + l + x. Is -19 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2086430 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 957 - -67. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104259*u**5 - 6*u**4 + u**3 + 3042293*u**2 - 2*u - 2.\nAnswer: -6255540*u**2 - 144*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34495, -34490, -34483, -34474?\n\"Answer: l**2 + 2*l - 34498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - c + 14 = -6, 4*c = o + 23. Let x(n) = 3*n - 9. Let z(d) = d - 1. Let p(k) = x(k) - 6*z(k). Calculate p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-210) - (156\/(-7))\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 1. Let j be q(0). Let y = -1 + 0. Let p = y - j. Is -2 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52937.\nAnswer: 52937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2\/3, 3\/2, 44, -1\/8 in decreasing order.\nAnswer: 44, 4, 3\/2, 1, 2\/3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1030700 and -103\/457068600.\nAnswer: 5027754600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26746*m**3 - 216324*m**2 wrt m?\nAnswer: 160476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 108 + 29*o - 41 - 15*o - 16*o.\nAnswer: -2*o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13058\/9 + -1448. Let l = -43\/18 + o. Find f such that 0 + 1\/2*f**2 + l*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12209\/3 - 12208\/3. Suppose t + t = -6. What is the closest to b in 0.4, 5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:26 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33679 + -33679.5. Let a = -112 - -111.636. What is the second biggest value in a, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20))\/sqrt(4) - (sqrt(5) - (sqrt(605) + -2)))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.86 (b) 4 (c) -0.3 (d) 0.3 (e) 2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 4\/(-6)) + (-99876)\/(-36).\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 6. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186 = -93*c - 395 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -69. Calculate the common denominator of -19\/4 and (-114)\/(-20) + x - (-17 + 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5789\/5 - -330173\/285. What is the common denominator of -13\/4 and b?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134105*v + 432027*v + 517956*v - 116531*v.\nAnswer: 699347*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8*c - 3. Let l(q) = q**2 + 8*q + 4. Let v(k) = 3*l(k) + 2*o(k). What is the units digit of v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (1 + 1) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*l**3 - 7*l**4 - 92*l - 71*l**3 - 77*l**3 + 4*l**4 to j*l**4 + i*l + w + d*l**3 + c*l**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299877745 or -299877746?\nAnswer: -299877746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41703827, -7 in descending order.\nAnswer: -4, -7, -41703827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1 - -3) + -1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-1 + -13)) + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:32 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-345)\/115 + 1*382\/160 and -1\/104.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674541.1ml in litres?\nAnswer: 674.5411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -4 (b) 0 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -119*v - 2156. Give q(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*x + 67*i**2 + 7*i*x + 31*i - 4462217*x wrt i?\nAnswer: 2*i*x + 134*i + 7*x + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvzvxvvx. What is prob of picking 1 z and 1 v?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 114*m + 343*m + 45*m. Let z(u) = u**2. Calculate z(b(o)).\nAnswer: 249001*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-321)\/(-18) - 19)*(-6)\/14. What is the closest to -1 in 3.7, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/4 - 5*j**3\/3 - j**2\/2 + 2*j + 1. Suppose 0 = -2*k - 5*g - 7, 3*k - 5*k - 57 = -5*g. Let x = 11 + k. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052 - -3.948. Let u(m) = 3*m**3 - 2*m**2 + 1. Let n be u(1). Which is the closest to -0.2? (a) -4 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 122 = -2*y, -2*k + 212 = 4*y - 22. Let w be (y\/(-32))\/(2*(-2)\/(-16)). Let g(m) = 2*m**3 + 17*m**2 + 17. What is the hundreds digit of g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*f - 260*f - 256*f + 2*s + 68 = 0, -7*s = -4*f + 139 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 2 - sqrt(180).\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*t**3 + 40*t**3 + 25*t**3 + 17*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 + 2*x. Let h(y) = -y**2 - 1. Let n(u) = 2*h(u) - k(u). Let j be n(2). Solve 8 = q - l, j*l - 2 = q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -2*r - 80 - 104 for r.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1797 (b) 9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14220)\/846 - -15) + 108\/60?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 - 1\/120*i**6 + 1\/12*i**5 + 0*i + 0*i**3 + 5\/24*i**4 - i**2. List the prime factors of x(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 99*s**3 - 5*s**2 + 45*s - 10. Does 14 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*f, 0 = -4*a - 3*f - 2*f - 33. Let m be (0\/1)\/(-1 - a). Suppose m = o - 4*o + 45. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(4\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*v**4 - 2304776*v**3 + 50138970*v**2 - 727063843*v\/2 + 878564947.\nAnswer: -(v + 72046)*(4*v - 29)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:18 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -168. Let a = m + -55. Calculate the remainder when a is divided by (-84)\/(-8) + (-2)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 12*x + 104. Give h(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:54 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1)\/((-2)\/10). Let m(y) = y + 6. Let i be m(-3). Let j = -24 + 34. Solve -j = i*r - x*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5)*-1 - (sqrt(80)*-2 - sqrt(80)))*1)**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.85402862 to four dps.\nAnswer: 1.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(280))\/(sqrt(5)*-1*-4))\/(1*(sqrt(512)*-1 - sqrt(8))*3).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 14*u**2 - 4*u**2 - u**2 - 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*v - 8, -v - 2 = -7. Let a = b + 5. Suppose c = -7 - a. What is c rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 894109 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -4290.7354.\nAnswer: -21453.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i + 60. What are the prime factors of (5 + 280)*4\/i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -976 - 75*s + 976 in the form y + t*s and give t.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = 4*m, m + 2*o - 17 = -3*o. Let n be 40*(-1 - m\/2). What are the prime factors of (3\/(-3))\/((-2)\/n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 0 - (7 - 22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/2153? (a) -1\/9 (b) -0.1 (c) 5 (d) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooaaoo. What is prob of sequence oooo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w - 202 - 806 = 0. Solve 43*d - w*d - 174 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*x**4 + 88*x**3 - 216*x**2 + 224*x - 80.\nAnswer: -(x - 2)**3*(13*x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11000111?\nAnswer: 11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1030*v. Let m(i) = -13*i + 29*i**2 + 9*i + 4*i - 31*i**2. Give m(l(h)).\nAnswer: -2121800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315949 is divided by 532.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:54 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14428978 and 762?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9 - 58*t - 21 - 48*t. Let o be s(-3). Suppose -2*a = -8*a + o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4227531*157.\nAnswer: 663722367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -15. What is the highest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 - 438*l + 44. Give k(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 984 divide 677787194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*g + 231*g - 131*g)*(-2*g - 3*g + g).\nAnswer: -1208*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.00873 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/23, -8, -7.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.93 at most as big as 7522\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + f - 1. Let k be a(1). Let r = -24 - -26. Suppose -k*j = r*j. Solve 4*l + 5*w + 5 = j, w = 4*l + l - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 0*g - g**2 + 2*g**2 + (g - 1 + 1)*(2*g - 2*g - 3*g) as t*g**2 + i + h*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17654.2*-25\nAnswer: 441355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 23. What is the nearest to -1 in -1\/5, -0.08, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1270*h**4 + 2135 wrt h?\nAnswer: -5080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 6*b**2 - 6*b**2)*(2*b + b - 3 - b).\nAnswer: -22*b**3 + 33*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, 9, 3, 5 in increasing order.\nAnswer: -9, 3, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t**2\/4 - 27*t\/2 - 27\/4 = 0 for t.\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.477 and 0.03?\nAnswer: -0.01431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -313033?\nAnswer: -313004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -1970, -2805, -3620, -4409, -5166, -5885?\nAnswer: -6560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761340578.\nAnswer: 2, 461, 825749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m**2 - 916*m + 302. Give g(38).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 578276 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382 + -273. List the prime factors of m.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 7. Let l be z(-6). Let x = -217 - -305. Let v be 2 + 23\/4 + (-66)\/x. Solve l*s = v*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from mavuavgaaamagmgdauaa.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 155.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435535707.\nAnswer: 3, 2887, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 1, g: 1, p: 3, i: 1}. What is prob of sequence fppg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/8 + (612\/32)\/17. Is (298\/4)\/(f\/8*4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 + 5*p**2 + 10*p + 3. Let l be q(9). Solve z = 4*d + 6 + l, 5*z = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7970450 is divided by 31379?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2049, 2061, 2083, 2115, 2157, 2209, 2271?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 113 = f + 102, -2*g - 24 = -4*f. Let u(i) = -2*i**3 - 5*i**2 + 4. Determine u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/14922 and 131\/27558.\nAnswer: 22845582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111001 - 1102?\nAnswer: 11102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 3) + -3)*(8 - (7 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5856 by 488.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 8288624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let o(r) = r**2 + r + 1. Let p(g) = -7*g**2 - 6*g - 6. Let v(b) = -6*o(b) - p(b). What is i(v(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 11*q**3\/3 - 69. Let b(v) = 3*v**2. Calculate j(b(d)).\nAnswer: 99*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 <= -79\/615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1911)\/1092*6\/(-7). Let j(i) be the first derivative of -d*i**2 + 0*i - 17. Calculate j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 431489100 to the nearest one million.\nAnswer: 431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 2.06. Let o = 56 + -59. Which is the closest to j? (a) -2 (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35396 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012023784 to 5 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*r**2*v - 6*r*v**3 - 14721*r*v + 47*v**3 + 377*v**2 - 235 wrt r.\nAnswer: 16*r*v - 6*v**3 - 14721*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*3 + 5 - sqrt(1100) - (sqrt(1100) - 5*sqrt(1100)*3))**2 + ((-4 + sqrt(1100))**2 + -1 - (-2*sqrt(1100) + sqrt(1100))*2).\nAnswer: 1540*sqrt(11) + 282740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4578*x - 206304. Determine u(-45).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Let n(a) be the first derivative of -a**3\/6 - a - 3. Let t(x) be the first derivative of n(x). Calculate t(v(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, 2, 42, 118, 242, 426?\n\"Answer: 2*l**3 + 2*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 3*n - 2 - 6*n.\nAnswer: -15*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(2) - -2*sqrt(2)) - (-2*sqrt(36)*2 + sqrt(36) - sqrt(36)))\/(2*sqrt(108)*-5*5).\nAnswer: -13*sqrt(3)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 - 960*d**3 + 15715*d**2 - 9060*d - 88740 = 0. What is d?\nAnswer: -2, 3, 17, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, -12, 69, 1, -3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 1. Let w(z) be the third derivative of -z**4\/24 - 5*z**3\/6 - z**2. Let t be w(-6). Calculate i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) + sqrt(9)\/sqrt(3)) + sqrt(55)\/(sqrt(55)\/sqrt(5)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -34. Suppose -n*u = -9*u - 844. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149120340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85027 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11416.85 + -2861.\nAnswer: -14277.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -7*y - 54. Let d(p) = 5*p - 35. Let m(t) = -t + 6. Give y*d(i) + 35*m(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 7. Let c(t) = -t**2 - 3*t**3 - t**2 - 2 + t**3 + 2*t. Let j(m) = -2*m**3 - 3*m**2 + 3*m - 3. What is q*c(g) - 2*j(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 65*t**3 - 15*t**2 + 8*t - 1. Give d(2).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 11 = -2*s. Suppose 2 = y - s. Suppose 0 = -4*l + m - y*m + 4, 2*m + 8 = 2*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.9?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*18\/(-225))\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00331096 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = k + 48. Let o be (10\/k - -1)\/((-16)\/72). Suppose -4*n = 3*r - 249, -6 = -3*n + o. Calculate the remainder when r is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2959752, -5919580, -8879408?\n\"Answer: -2959828*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4460 + -3*(-2)\/(-3). Let j = t + 26911\/6. What is the common denominator of -53\/8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -66 + 71 + 1\/(-2 + 1). Suppose 0 = 4*u + 2*p + p - 24646, g*u = p + 24654. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + 2.7. Let g = 1.1 - 0.1. Which is the nearest to -1? (a) g (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6093 and 4494603.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/2100*6\/8 + 2075\/(-1162)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411925 is divided by 2558?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211990*o**3 + 156172 wrt o.\nAnswer: 635970*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 7*y - 12. Let h be k(3). Suppose w + 3*v + 12 = 0, 5*w + 0*w - v - 20 = h. Let q(s) = s - 4. Let z be q(5). Solve w*f - z = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 13 - 2*n**4 + 15 + 2*n**3 - 35 + 3*n**2 to the form q*n**3 + k + g*n**2 + x*n**4 + f*n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.8 + -11. Let a = h - 2. Let v = 0 - a. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 4*w - 4, -q + 20*w - 17*w = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 51 + 29 = 2*d, 3*d - 5*m - 133 = 0. Suppose 42*c - 630 = d*c. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -143\/3. Let n be 2 + -1 + 15\/(-3). Which is the closest to d? (a) n (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -95. Solve -15 = i*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16593*a - 27243 = -16602*a. Does 43 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6534 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 450538?\nAnswer: 2703228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-77)\/(-1078) + 160130\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r**(-9\/4))*r)*r*r*(r\/((r\/(r**(-3)\/r)*r)\/r))\/r)\/(r**3)**(-8\/15) assuming r is positive.\nAnswer: r**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 245*m**2 - 7.\nAnswer: -245*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 10*o + 242. Suppose -9*j + o = 2*j. Solve s - 8 = j*m - 3, 5*m + 2*s = -17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*h - 53 + 53)*(-4*h + 8*h + 2*h).\nAnswer: 138*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*x. Suppose 2*h = -0*h + 8, x*t + 14 = -h. Let y = 6 + t. Put 3, y, -3 in descending order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*i - 76. Calculate the remainder when i is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358442, 358417, 358390, 358361?\nAnswer: 358330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**3 + 2\/105*j**7 + 0*j**6 + 0*j**4 + 0 + 0*j + 1\/60*j**5 + 3*j**2. Find the third derivative of m(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u + d - 373, -3*u - 2*d - 379 = 0. Let s be (4 - -11)\/(-5) - 125. Let k = u - s. Solve -5*f + k = -22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 v when four letters picked without replacement from {y: 2, l: 1, v: 1, h: 8, d: 1, t: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 6.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 0*n + 2*n + 2*n + 1 - 1 + (2*n - 2*n - n)*(-4 + 0 + 2) + (4 - 4 + 2*n)*(1 + 5 - 4)*(1 - 2 + 3).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 82 = -2*n + 70, 5*k = -20. Let b = n + -21. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - p - 32. Suppose 14*v - 11*v - 825 = -m, -p*v - 839 = -m. What are the prime factors of m?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -12. Let b(h) = -h**2 - 12*h - 21. Let s be b(-6). Let l be (13 - s)*(-2 - 0). Sort -1, l, k, -5 in ascending order.\nAnswer: k, -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, 0.4, -3\/5, 1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t. Let d(o) = -24*o + 3848. Give d(w(h)).\nAnswer: -144*h + 3848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116810379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 17*y - 18. Give u(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42772828.\nAnswer: 2, 7, 1069, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3442*z - 823. Let w be k(15). What is w rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*136\/(-42432)*6\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, -7*t + 4*t + 20 = -2*v. Suppose -129 = -5*d + 106. Let p = v + d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5)\/f*f*f*f**(-1\/7)*f*f*f*f*f\/f**(-26)*f**26\/f)**(-4\/9) assuming f is positive.\nAnswer: f**(-1760\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01654363 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r - 326*r - 200 - 22*r**2 + 9*r**2 + 9*r**2 = 0 for r.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1739 - -2983. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 65*f**2 - 234*f + 17. Give r(1).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41706 + 41712 - 69*r - 9*r + 41707 - 166833 + 41709.\nAnswer: -78*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 r, and 1 t when four letters picked without replacement from {r: 4, t: 10, y: 3, m: 1, a: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**4 - 5*x**3 - 4*x**2. Let f(m) = -m**4 - m**3 - m**2. Let k(g) = 6*f(g) - w(g). Find r, given that k(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = -4*p, -64*q + 63*q - 13*p + 13 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 0*l**3 + 0*l**3 + 3*l**3 + 0*l**3 - 2*l**3 + (-l + 2 - 2)*(-5 + 5 - 8*l**2) + 5*l**3 + 0*l**3 - 4*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2420) - (sqrt(2420) - (sqrt(2420) + sqrt(2420)*1 + sqrt(2420)))) + sqrt(2420)) - sqrt(2420) - sqrt(2420))\/((sqrt(360)\/sqrt(6))\/sqrt(6)*-1).\nAnswer: -66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42609531.5 take away -1.2?\nAnswer: 42609532.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/11*(9475\/150 + -54)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - ((-9 - 20) + 25 + (-3 - -8))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(16) + sqrt(16))\/sqrt(8) - (sqrt(2) + 5 + sqrt(2)*2)) + (sqrt(176)\/(sqrt(44)\/sqrt(4)))\/(sqrt(8) + sqrt(128)*-1).\nAnswer: -5 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 708\/(-84) + 8 + -1 + 2. Determine k, given that 8\/7*k**2 - 4\/7*k**3 - 4\/7 + 2\/7*k**5 + 2\/7*k - j*k**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 + 86*j + 504 = 0. Calculate j.\nAnswer: -36, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/3)\/3 - 0. Let p(f) = 352*f**3 + 3*f**2 + 2*f + 2. Let i(y) = -2*y**3 + y**2 + 1. Let o(h) = -3*i(h) + p(h). Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-34))**(-15) assuming l is positive.\nAnswer: l**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2272235 - -2272236.200013. Let x = n - 1.2. Round x to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30 + 30)\/((-4)\/2). Suppose 3*h + 2 = 8. Suppose 0*v + 58 = 5*u - v, y = -h*v - 6. Calculate the remainder when 21 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26*t + 746. Let l be c(-28). Solve 9*d - 3*d = -l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/30 + 4*h**2 + 366*h - 1. Let y(i) = 10972*i. What is s(y(b))?\nAnswer: -240769568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5406004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3115? (a) 0.3 (b) -5\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-5)\/(-70))*(-9)\/315*-365\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -2200233103010?\nAnswer: 2200233103122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 20*q**2 + 149*q - 1095. Give x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = 36*x + 1, 3*z - 2*x - 8 = 0. Let b(q) = q**2 + 5*q + 3. Let d be b(-5). Solve -z*f + d = 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2103 (base 4) to base 8\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1. Let s = 2 - -3. Let m(r) = r**3 - s*r + 3*r + 3*r. Let z = 858 + -857. What is z*m(y) - k(y)?\nAnswer: y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/40 and 55\/9?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - q - 32 = 0, -21*q + 18*q = 5*a + 60. Sort a, -2, -1 in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26512984 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9500 - 7434. What is the remainder when v is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*c + 110*c = 0. Let s = -91 - -94. Solve -s*i + 9 + c = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 2*g + 3. Let o(t) = -t - 1. Let d(u) = 2*c(u) + 4*o(u). Differentiate d(n) wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64864 and -49.2?\nAnswer: 3191308.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511803250?\nAnswer: 2, 3, 5, 7349071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 0 + 3*c - 2*c + 0 + 0 + (2 - 3 - 1)*(-3 + 3 - 2*c) - 2*c + c + 2*c + 1 - 1 + c.\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181235?\nAnswer: 5, 67, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343182171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 3*i + 12 = 0, -3*m + 36 = -2*i. Solve 3*y + y + m = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31a2 + -30?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 19 + 8)*((-2 + 1 + 3)*(-n - 2*n + n) - 1 + 1 + 3*n)*((-2*n + 5*n + 2*n)*(-n**2 + n**2 + 2*n**2) - 2*n + 3*n**3 + 2*n).\nAnswer: 234*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = -10. Suppose 0 = -4*w - 4*i + 244, k*i = -2*w + 3*i + 119. Calculate the highest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -22380 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, -13 in descending order.\nAnswer: 43, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148672*z**4 - 187553*z wrt z.\nAnswer: 1784064*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 17*z - 26. Calculate y(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 5*v - 6*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40\/3 - -13. Suppose 5*x + 6*w - w = -105, -w = 2*x + 39. Let h be (-2)\/3*(-27)\/x + 3. Is i at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 8*f**2 - 12*f - 4. Let g be i(6). Let a be 5*g\/(-40)*28. Is 6234\/a + (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 6818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1424797930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y*y**(-3\/2)*y*y*((y\/(y\/y**(-6)))\/y)\/y*y*y\/(y*y**(-1\/3)) assuming y is positive.\nAnswer: y**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3775917.\nAnswer: 1132775.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a**2 - 4*a. Let c(t) be the second derivative of -5*t**4\/4 - t - 1133. Give y(c(j)).\nAnswer: -2700*j**4 + 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8083, -8082, -8081, -8080, -8079?\n\"Answer: g - 8084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 32 - -31 - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 146, 351, 586, 851, 1146, 1471?\n\"Answer: 15*k**2 + 160*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 16*o**2 + 60*o + 1. Let t be m(-10). Which is greater: -1\/223 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((-9)\/(-4))\/3 + 6. Suppose 4*k = -3*n + 16, -4*n - k = v - 20. Solve -n*w + 6*w + 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/667598 and -57\/4232?\nAnswer: 2670392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10830.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1622888 and -0.2.\nAnswer: 0.63245776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 14*m + 7. Let i = -5 - m. Suppose 2*t = i*l - 154, -2*l + 166 = 5*t + 19. What is the remainder when l is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/10 + n**4\/6 + 5*n**3\/6 + 25*n**2. Let o(h) = -h**3 - 7*h**2 + 5*h + 6. Let p(t) = 5*g(t) - 4*o(t). Calculate p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + a + 7, f - a - 77 = -71 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3175 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 4. Let n be y(3). Let a(x) = 1 - 6*x + 4*x**2 - 5*x**n + x - 2. What is the remainder when 5 is divided by a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(16\/(-7014)))\/((-6)\/(-5680)). Suppose -n + 1328004 = 7*g - 3*g, 0 = -5*g + 5*n + s. What is g rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17591 is divided by 194?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 7*w**4\/12 - 2*w. Let d be l(1). Suppose -4*z - d*p + 2 = -2*p, 5*z - 11 = -2*p. Solve f = -2 - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1415 divide 8830939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 87 + 75 = 0. Calculate the remainder when -2 + (-70 + 0)\/(-2) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 240 = -16. Let a = -14 + 8. Let g be (8\/a)\/(2\/(-12)). What is the greatest common factor of s and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353858, -1415473, -3184850, -5661989?\nAnswer: -8846890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 409450123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = -3*i, 0*i + 2*i = 2*s. Let q(d) = 46*d + 794. Calculate the remainder when 133\/i + 28\/42 is divided by q(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.49, -2\/7, -16, 1.65.\nAnswer: -16, -2\/7, 0, 0.49, 1.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 1243?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:25 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtwzzwzwzztzzwwwzwt. What is prob of sequence wzw?\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 13. Determine a(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/(w**(-9\/2)*w*w*w))**(1\/15)\/(((w**(-2\/5)*w)\/w**6)\/(w**(-5)\/(w**(3\/7)*w))) assuming w is positive.\nAnswer: w**(-961\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1207637\/72 + -131073\/8. Let u = f + -394. What is the common denominator of u and -73\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -217*k - 11376. Give g(-52).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587534 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.003 - 4.803. Let g = -4.79999927 - i. Round g to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5226\/3640 + 3\/(-4). Let l = q + -2\/5. Find z, given that l*z**2 - 4\/7 + 2\/7*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.4 - 19.4. Put r, 5, -3, 2\/5 in decreasing order.\nAnswer: 5, r, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*j = -j. Suppose j = -3*h - 3 - 12. What are the prime factors of (-235)\/h + (1 + 0)*-2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 2*o + 1. Let h be c(1). Suppose 4*f - 188 = -2*u, f - h*u - 48 = -5*u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 20*l - 34. Let k be g(18). Suppose -4*t + 74 + 5 = 5*n, k*t - 2*n = 26. Let a(j) = -j**2 + 16*j - 6. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrzzwzwzwwwwrwwzz. What is prob of picking 1 w and 2 z?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-23)\/(-3). Suppose 2*u - 38 = 4*v, -5*v + 13 = 2*u - 4*v. Suppose -4*b = -u*b + 35. What is the greatest common factor of y and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 22*y - 27. Let i be h(19). Let d(f) = -7 + 1 + 17 + 7*f - 7 + i*f**2. Is d(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*z + 28*z**5 + 151*z)*(-1 + 1 - 2)*(-3 + 4 - 2).\nAnswer: 56*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 12. What is c(-19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.99. Let m = p + -2.99. Let z = -658 - -6579\/10. Sort m, z, 4 in increasing order.\nAnswer: m, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 29. Let h(w) = -4*w + 276 - 270 + w + 4*w + 0*w. What is 11*h(i) + 2*t(i)?\nAnswer: 3*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.043 + 212.043. Let v = -211.8 + r. Put -0.3, -5, -0.2, v in decreasing order.\nAnswer: v, -0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 26. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.11826 kilograms to nanograms.\nAnswer: 22118260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-30 + 23 + 4 + 3 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47*2\/24)\/((-305)\/(-82960)*-34)?\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 7 + -4 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/6 - b**2. Let o be k(5). What is the least common multiple of o*(-2)\/(2 + 0) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 16. Let k be (-1)\/((-1)\/(-10)) + 1. Let b be y(k). What is the remainder when 8\/b + (-337)\/(-7) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/41 - 35\/123. What is the nearest to a in 4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0 in descending order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - 9.7. Let h = -13 - w. Let n = 7 + -13. Sort -4, h, n in descending order.\nAnswer: h, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 1, u: 3, y: 2, r: 2, w: 1}. What is prob of picking 1 u, 1 w, and 1 o?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 780758 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) - (-2)\/(-5). Find the common denominator of (-51)\/(-2) + 0 - m and (-3 - -1) + 14\/(-49).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3\/279547, -0.13 in descending order.\nAnswer: 2\/5, 3\/279547, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d. Let r be 2 + 0 + (1 - 0). Let m(c) be the second derivative of c + 0*c**2 + 0 + 1\/12*c**4 + 0*c**r. Determine m(p(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200) - sqrt(2200)*-3 - sqrt(2200))\/(sqrt(4)\/sqrt(2)*4 - sqrt(2)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 15*k**2 + 8*k + 20. Let l(n) = 14*n**3 + 44*n**2 - 24*n - 59. Let z(o) = -6*l(o) - 17*t(o). What are the prime factors of z(8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o = -29*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 - 13*s**5 + 7*s**4 + (-3*s**3 - s**4 + 3*s**3)*(-2*s - 4*s + 7*s).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -2\/2605 (b) -1 (c) -102\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4452.95 from 1663034.\nAnswer: 1658581.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4552 and 53304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 8. Let i be (-18)\/(-7) + 32\/(-56) + 1. Solve 11 = i*h - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - 27*j + 19. Let d be n(8). Put d, 2, -11, 5 in increasing order.\nAnswer: -11, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3*(-1)\/(-12)). Factor -9*q**2 + 0*q**4 + x*q**2 + 4*q**4 - 3*q**2.\nAnswer: 4*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:53 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-24)*3 - (-873)\/12. Suppose 0 = 75*t - j*t. Put 1, t, 2, 4 in ascending order.\nAnswer: t, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.877 - -7. Round i to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010899778 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3101*g**2 + 3101*g**2 - 10*g**3 + 37*g.\nAnswer: -10*g**3 + 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11197 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -2\/3*w**3 - 1\/60*w**4 + 10*w**2 - 1\/150*w**5 + 0*w + 0 - 1\/900*w**6. Let u(l) be the first derivative of v(l). Factor u(b).\nAnswer: -2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288525845 to the power of 1\/2, to the nearest integer?\nAnswer: 16986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 1 (b) -0.3 (c) 2 (d) 0.07 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*s + 119*s + 6 = 0. Suppose 60 = 2*c - 3*t, 3*c + 2*t = -s*t + 52. What is the remainder when 44 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/b**(2\/17))\/(b*b**(-3\/14)*b))**50)**(-4\/11) assuming b is positive.\nAnswer: b**(-26100\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 - 155. Sort m, -3, 0, -1 in decreasing order.\nAnswer: m, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 15, 0 = 4*i - 5*d - 47. Sort 0, 2, i, -2 in increasing order.\nAnswer: -2, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*h - 67*h + 320 + 149*h + 2*h**2 as c + t*h + n*h**2 and give c.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 + 36*t**2 + 4*t**2 + 0*t**2.\nAnswer: 65*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 3. Let g be l(-4). Suppose -3*i + i + 20 = 2*v, g*i = 5*v. Suppose -4 + 9 = i*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92258a (base 11) in base 5?\nAnswer: 334411411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -55. Suppose 0 = -p - 3, -3*x - l*p + 0*p = -9. Solve 4*g + g - 20 = -5*q, x*q - g - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 116. Let j be (3 - 4)\/(1\/u). Let w be (2 - 3)*(3 - 0). Put 3, w, j in decreasing order.\nAnswer: 3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 8)*(3*s**3 + s**2 + 3*s**4 - 3*s**3) to the form f*s**4 + h*s + c*s**3 + x*s**2 + y and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2874, 2895, 2950, 3057, 3234?\n\"Answer: 3*t**3 - t**2 + 3*t + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*v, -m = -3*m + 2*v - 34. Let w be (m\/(-162))\/((-1)\/3). What is the nearest to w in 0.5, -3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1085*s - 539*s - 546*s + 2565*s**2 - 255*s**3 wrt s?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 11*m + 14. Let p be q(-12). Suppose 0 = 3*j - 3*x - 69, -p*x - 46 = -2*j - x. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 1 + 5. Let u be (1 - i) + 0\/(-3). Which is greater: u or 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.9, 7, 0.01, -3\/2, 0.3.\nAnswer: -3\/2, 0.01, 0.3, 7, 16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccyjyj. What is prob of sequence cyy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 123816, 495331, 1114512, 1981353, 3095848, 4457991, 6067776, 7925197?\n\"Answer: -u**3 + 123839*u**2 + 5*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 326*h + 1828. Give s(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 18 - 10. Solve -d*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 2*f**3 - 36 - 659*f + 71 in the form b*f**2 + p + k*f + q*f**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from mtynttttttmnfymnntmt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3729800.\nAnswer: -1\/932450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -26, 0, -2, 3, 2 in descending order.\nAnswer: 3, 2, 0, -2, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (4 - -6 - (1 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -915, -2, 8, -199 in increasing order.\nAnswer: -915, -199, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m - 1. Let f be t(0). Let j = -46.7 - -47. Let k be (162\/(-24))\/((-45)\/(-60)). What is the nearest to f in k, -1\/7, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3 - 6. Suppose -a = -2*m + a, t*m - 2*a = 3. Determine g, given that -3*g**m - 5*g**2 + 3*g**3 + g**3 + g + 3*g**3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 24*u + 6 + 0 - 1 to the form b + y*u and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 19 - 16*g + 20 + 19 to c*g + m and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/249999 and -28\/4491?\nAnswer: 749997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11323.90779373 take away 90?\nAnswer: -11413.90779373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 2. Let s = -0.2 - g. Let n = -4 - -6. What is the third smallest value in s, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 33*c - 28*c + 2 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:18 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 949a - 248?\nAnswer: 9252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2288535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 + 11.72. Let m be (-12)\/360*4\/1. Put p, m, 0 in ascending order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.066711+-90\nAnswer: -89.933289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 78*w**3 - 2*w + 2. Let x be g(1). What is the second derivative of -x*j**4 + 15*j - 2*j + 95*j**4 wrt j?\nAnswer: 204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 + 6*v + 13. Let f be i(-4). Let z(j) = j. What is z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 8. Let f be l(-5). Find the third derivative of -2078*w**3 + 2078*w**f + 9*w**4 - 32*w**2 wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 0.1 (b) 19 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 5*p**2 - 5*p + 6. Let q be w(-6). Suppose -24 - 6 = -6*m. Suppose q = -3*n, 4*z + 4*n = m*n + 4396. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -895909*a + 574688.\nAnswer: -895909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let s(l) = 4*l + 3. Let y(d) = -5*b(d) + s(d). Let c = -31 + 24. Let p be y(c). Let z(n) = n - 11. Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202121020 (base 3) in base 9?\nAnswer: -22536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from {y: 1, j: 2, p: 1, s: 3, k: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20658, 41318, 61978, 82638, 103298, 123958?\nAnswer: 144618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -113, -153, -203, -263?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -17 + 46 + -1 - (19 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6072140 and 50?\nAnswer: 30360700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 3. Let f be k(6). Let l(o) = -3*o + 2. Let y be l(f). Suppose 3*q - 8*q = 5*z, -3*z + 3*q = -30. Solve -z*c - y = -31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(7\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -19.2142.\nAnswer: -9.6071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 15*o - 10. Suppose -i - 9 = -2*i. Calculate the remainder when y(i) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/5 (b) -4\/3 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -303\/4?\nAnswer: -303\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r + 42*r - 84 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - v - 117 = 86, -2*d - 5*v = -65. What is the least common multiple of d and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 5. What is i(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 106*c**2 + 557*c - 213. Let v be y(111). Solve -27*o + 3*j = -31*o + 12, 0 = -3*o - 4*j + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0 + 454*j**2 + 4 - 451*j**2 - 2*j. Let u(h) = -2*h**2 + h - 2. Let g(p) = -3*i(p) - 5*u(p). Let o(d) = -d**2 - d + 1. Determine -3*g(f) - 5*o(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 1036 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 3f98ac9?\nAnswer: 3f98ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2\/17 (c) -4 (d) 0.1 (e) -1.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, -0.7, -4, -0.4, 0.9, 7, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680403555 by -136080711.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4489639 is divided by 377.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 35807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + -2*(sqrt(2057) + 2 + 1 + sqrt(2057))))**2.\nAnswer: 34848*sqrt(17) + 1189188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t - 397. Calculate d(-74).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 6, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*b = 1250, c = -8*b + 6*b - 406. Let f = c - 498. What is the units digit of (-3*f\/45)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499305 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/603 and 83\/2211.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 + 2*n**3\/3.\nAnswer: -n**3*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 6*g + 13. What is the second smallest value in 1, g, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 10854*w**3 + 7712136*w**2 + 1692141600*w + 121597969536.\nAnswer: -3*(w - 4254)*(w + 212)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 58. Let q = u - -161. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.17451 and 1.36834873?\nAnswer: 1.54285873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2191.282724 and 12.1.\nAnswer: -2179.182724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 9*o**2 + 6*o + 90. Give p(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220863747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 + 13*z**2 - 15. Let d(n) be the first derivative of 7*n + 0*n**4 - 2*n**3 + n**4 + 2 + 6 - 4. Let u = 196 + -190. What is u*k(x) + 13*d(x)?\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 899414444 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -443959 and -443960 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 29*o**2 - 117*o + 50. Calculate j(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/6 - -2). Let v(i) = 2*i**3 - 4*i**3 + i**q + 0*i**3 + i**2 + 9*i. Let d(u) = u**3 - u**2 - 4*u. Determine -5*d(f) - 2*v(f).\nAnswer: -f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 24. Suppose -m = 1 + y. Let k be (m\/40)\/(9\/6). Sort -0.1, 0, k.\nAnswer: k, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0*h**3 + 2*h**3 - 7*h**2 - 20*h + 8*h - 3*h**3. Let x be j(-8). Let f be 1 + (3 - x\/25). Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-44)\/(-8) - (-335)\/(-100). What is the second smallest value in 1\/3, f, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.09103 days?\nAnswer: 1.72729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(4 + (3*(sqrt(12) + -4*sqrt(12)))\/(-3*(sqrt(6) - (sqrt(6) - 3*sqrt(6))))).\nAnswer: -96 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 - -41) + 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 36 = -4*s, -4*s - 3*a - 3 - 33 = 0. Let h = 168 - s. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*c - 412*c + 767 + 751 = -462 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1023, -1012, -993, -960, -907, -828, -717?\n\"Answer: c**3 - 2*c**2 + 10*c - 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 17585.\nAnswer: 0.1, 0.2, 17585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*d - 21 + 117*d - 1900*d**2 + 110*d - 2*d**3 + 114*d - 455*d wrt d?\nAnswer: -12*d - 3800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -18, 5, 1140, -4 in decreasing order.\nAnswer: 1140, 5, -4, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(125)*-1 - sqrt(15)\/(sqrt(9)\/sqrt(3)*6)) + 2)*4.\nAnswer: -62*sqrt(5)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - -2) + 5 + 0 - (261 + -246)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920623044, -920623050, -920623060, -920623074?\nAnswer: -920623092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 7. Suppose 42 = 5*i - 3*l, -38*i + 35*i + 22 = -5*l. Sort i, -4, k.\nAnswer: k, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - x)*(3*x**3 - 3*x**3 + 2*x**4) + 9*x**5 + 2*x**4 - 2*x**4 + 11*x**5 - 8*x**5 + 5*x**5 + (2*x - 3*x + 2*x)*(8*x**4 + 3 - 3).\nAnswer: 23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 2)*(2 - 3). Suppose 4*w - 24 = 40. What is the remainder when w is divided by r\/((-3)\/(-10)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:09 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-126) - 1\/14*4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4568)\/14 + 38\/133. Let q = l + 579. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1201*y - 9. Calculate u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -153*z - 372. Calculate h(-8).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.06079415076071 - -4\nAnswer: 4.06079415076071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(150) - (sqrt(150) + -1*sqrt(150))) + sqrt(150))*-2)\/((-2*sqrt(12) - sqrt(3)) + sqrt(3)))\/(sqrt(1210) - sqrt(1210)*3 - sqrt(250)*1).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 362*h + 306. Does 58 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/17199681 and 63\/16594.\nAnswer: 34399362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - 2068\/(-90). Let b be (55 + -1)\/(240\/(-150) + 5*91\/50). Let -14\/5*v**5 - 88\/5*v**3 + l*v**2 + 102\/5*v - b - 16*v**4 = 0. What is v?\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 2:18 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(1\/3)*x**(-1\/4))**(3\/4)\/(((x**(2\/23)*x)\/x)\/(x*(x**(-4\/7)\/x)\/x))**(7\/6) assuming x is positive.\nAnswer: x**(-321\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/2 - c**3 - 13*c + 13. What is the first derivative of m(p) wrt p?\nAnswer: 6*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26217 = -3*q, -12*q + 9*q = 2*i - 17493. List the prime factors of i.\nAnswer: 2, 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150254 (base 6) to base 5.\nAnswer: -424422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139.42 + -1.42. Let q = d - 139. What is the third biggest value in q, -4, 0.13, -2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3)*-2*-2. Suppose -b - 2 = m*n - 0*b, -4 = 2*b. Suppose n*d - 13 = -d - f, 4*f = -d + 25. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -16. Calculate the smallest common multiple of 14 and 39\/2 - (-1)\/l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let b(v) = -v**2 + 5158. Determine n(b(x)).\nAnswer: 2*x**2 - 10316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 39, -4\/15 in descending order.\nAnswer: 39, -0.1, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 12*q**2 - 21*q + 53. Give a(-13).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 * 616510\nAnswer: 89393.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q - 16 = 116*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 0) - (110 + -2)\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2465216191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 and -79\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by 229?\nAnswer: -217\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.7554 to zero decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 + (-2)\/(-8). Let k = -273.2 + 273. What is the closest to t in 1, k, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86640166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26261147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:31 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h**4 + 14*h**4 + 13*h**2 - 30*h**4 + (5*h**2 - 12*h**2 - 15*h**2)*(h**2 + h**2 + h**2).\nAnswer: -65*h**4 + 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i**3 - 16*i**2 + 16*i - 16. Let v(h) = -h**3 - h**2 + h - 1. Determine -16*v(l) + x(l).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 192\/(-12)*(-1 - 0). Suppose -4*j + 40 = 2*c + z, 0 = -2*c - 2*j + 18. Suppose 0*r + 17 = r. What is the remainder when r is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.985 - -0.015. What is the closest to -0.1 in 3, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -2\/5, -288, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 + 500*r**4 + 16155*r**3 + 28710*r**2 - 45360*r = 0. What is r?\nAnswer: -24, -3, 0, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l + 2. Let n(w) = -6*w**3 - 2*w**2 - 4*w - 6. Calculate 4*j(i) + n(i).\nAnswer: -10*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15 = 0, -4*k + 6*g = -3*k - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h - 888. Let w be g(49). Calculate the highest common factor of w and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70392998*y**2 + 51564828.\nAnswer: -140785996*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8823551 or 97059057\/11?\nAnswer: 97059057\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1615*p**3 - 652*p**3 + 2622*p**3 - 1 - 795*p**3.\nAnswer: 2790*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13548, 26840, 39602, 51570, 62480?\nAnswer: 72068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203484 and 8205.\nAnswer: 1017420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13779, -27549, -41295, -55005, -68667, -82269, -95799, -109245?\n\"Answer: 2*t**3 - 13784*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/((-30)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -2105, -5033, -9213, -14645, -21329?\nAnswer: -29265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 1.4?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*g = 0, 0 = -0*p - 3*p - 4*g - 2. Let a be -6*-5*3\/p. Suppose 0 = -4*x + f + a, -5*f - 11 - 5 = -x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (85 + -88)*2\/(-3). Let p(j) = 9*j - 2. Let k be p(3). Suppose y*c - 23 = k. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/40? (a) 0.3 (b) -2 (c) -138 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-1 + 0 + 3)*(-3 - 3*t - 5 + 1).\nAnswer: -12*t - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 137.8. What is the second biggest value in 0, -1\/3, b, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let o(f) = 157*f**2 - 18*f. Let u(l) = -469*l**2 + 48*l. Let k(i) = 8*o(i) + 3*u(i). Calculate s(k(n)).\nAnswer: -151*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*b**3 + 15*b**3 - 10*b**4 + 33*b**3.\nAnswer: -2*b**3*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459 + 443. Sort 11, s, 2, 4.\nAnswer: s, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 - 181. Let a(j) = 89 + 14*j**2 - o + 6*j**2. Let g(d) = 6*d**2. Give g(a(b)).\nAnswer: 2400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.67669 - 92.3766652. Let i = 4.7 + q. What is i rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a - 73 = -3*m, 4*m + a = 101. Let q be (-4400)\/(-1 - (-27)\/m). What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i + 250. Let g be q(0). Calculate the greatest common divisor of 50 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 167675454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9706 and 344141?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/33 and -13\/27973?\nAnswer: 83919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 2*l - 2. Let j be a(-2). Let n be (-3)\/j*(-8)\/(-6). Let k(u) = 4*u + u - 3*u - 2 - u - u**3. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21*v - 4 + 12*v + 36*v. Let o be f(1). Which is the smallest value? (a) -1\/3 (b) o (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(6804\/24)*27\/(-18)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/6*(-100)\/125*(-1)\/6. Which is the closest to -1\/3? (a) p (b) -201 (c) -1\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -17\/4 (c) -0.3 (d) 68170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4042 + 450. Is k 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 7:28 AM and 6:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29222?\nAnswer: 2, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 - 11*n + 6. Let b be x(4). Let v = 73 - b. Suppose k + 10 = -2*t - t, 2*k = t + v. Solve 4*a - y = 2*a - k, -10 = 5*a - 2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - 0.59. Let l = -0.07 - r. Let k = 9 + -8.8. Which is the smallest value? (a) 5 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13158*o**3 + 387*o**2 - 1 wrt o?\nAnswer: -78948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -3.99. Let q = 9 + -6. Let w = 182 + -182.3. Put q, p, w in ascending order.\nAnswer: p, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 35 - 8*v**2 + 2*v**2 + 17.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times 3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 22 = 4*s + 4*l, 0 = -3*s - l + 23. Calculate the least common multiple of 38 and s.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 211. Let j = s - -103. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-288))\/(455\/4368).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*4\/(1 - (1 - 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43774710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s**3 + 2*s**2 - 3*s + 1. List the prime factors of r(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {u: 1, w: 3, v: 2, e: 1, a: 1, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733.17 rounded to the nearest 10?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*z + g - 12 = -337*z, 3*z = 5*g - 60 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:24 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323495 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 49. Give d(24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-2)\/(-2) - -176. Suppose k = u - x + 37, 288 = 2*u + 2*x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 9*n - 5. What is the units digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2634.\nAnswer: 26340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*p - 29, 3*q + 6 = 3*p - 3 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*z = -537*z + 99 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((-9)\/(1134\/30))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:09 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 6}. What is prob of picking 1 m and 1 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.088979 rounded to two decimal places?\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**2 + 1407*v + 468.\nAnswer: 3*(v + 156)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.158304 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 5*r + 645976 - 645976.\nAnswer: 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/4 + 9*o**3 - 243*o**2\/2 - 12*o. Factor u(l).\nAnswer: -3*(l - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 48 = 4*o, -2*k = 2*o + 6 + 24. Which is the third smallest value? (a) -2 (b) k (c) 4\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-459)\/54*(-9)\/(225\/10)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/13)\/v**1*((v**(1\/3)\/v)\/v)\/v**10 assuming v is positive.\nAnswer: v**(-500\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/220 and 20\/1331?\nAnswer: 26620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29229 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 66*k**2 - 2*k + 16. Let x(q) = 1. Let m(o) = -l(o) + 3*x(o). Let n(f) = -f**2 + f - 2. Let p(d) = -m(d) + 2*n(d). Differentiate p(y) wrt y.\nAnswer: 128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 630.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -83840 divided by -20960?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -39. Let x(n) = -n**2 + 4*n - 7. What is x(y)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38515 + 38515 - 2*a - 57*a**2 in the form v*a**2 + f + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - -4 - (171 - 159)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-470)\/423)\/((-6)\/(-27)) + -39 + 1 + -2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:38 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:38 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 2*j - 8, -5*w = 2*j - 16. Suppose w*a - 94 = 2*g, -1 = -2*g + g. Let s = a + -4. Solve -s = 4*n, -2*z - n + 1 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*n + 12 + 96, 3*o - 3*n = 102. Let y(g) = -14*g. Let x(u) = -125*u. Let d(s) = o*y(s) - 4*x(s). Let h(f) = 23*f**2. Determine d(h(k)).\nAnswer: 230*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51055.24 micrograms in tonnes?\nAnswer: 0.00000005105524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l + 287 = -5*t, 5*l + 473 = -3*t. Let q be ((-2)\/l)\/((98\/(-21))\/(-14)). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 471977490*f + 11138137553335005 = 0.\nAnswer: -47197749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3135*k**3 - 8360*k - 1045. Let o(r) = 8*r + 1. What is n(g) + 1045*o(g)?\nAnswer: 3135*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 6*u + 5*u)*(-4*u**2 + 0*u**2 + u**2) + 10*u**3 - 5*u**2 - 2*u + 5*u**2.\nAnswer: 19*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-12)*4)\/(1\/(-87)). Let v = f + 42. Calculate the highest common divisor of 117 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -193, -345?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/561*18*1\/(-15)*-3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 17 + 47. Solve -4*x + 2*k = -7*x - 17, -a = 3*x + k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.023*-1\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000079291 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Suppose o + 3 = 4. Let u = o - 1. Let w(p) = u + 3 - 3 + 2*p**2. What is w(q(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17526 is divided by 548.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 3040 = -34*s + 50*s - 72*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614 by -7534.\nAnswer: -307\/3767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*((n*n**(4\/21)*n)\/n)\/n)\/n)*n*((n\/(n**(-30)*n))\/n)\/n*n)\/(n**(-2\/33))**48)**(-49) assuming n is positive.\nAnswer: n**(-54523\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/7 + 86984*q**3\/7 - 180015264*q**2 + 6066935012736*q\/7 + 195435122208768\/7 = 0.\nAnswer: -32, 14508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/7, 0, 1.508, 0.02, 2, 1, -8.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/6)\/40*83365 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-88))\/(13\/78).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87443.\nAnswer: 87443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + 1 - (26 - 28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 5eb?\nAnswer: -5df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 3, 10, 665 in descending order.\nAnswer: 665, 10, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26981\/3 + 17585\/2. Is -201 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 32 - 54 + 148*s to d + i*s and give i.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + w + 3*w + (-1 - 3 + 3 - 41*w)*(1 - 3 + 3).\nAnswer: -42*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217.99 + -17.09. Let m = 201 - x. Which is the biggest value? (a) -7 (b) -1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12 + 5\/3. Solve m*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1734623076 to the nearest integer?\nAnswer: 41649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3325)\/(-42))\/(-25)*(-280)\/3990?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**2 - 6*o - 34. Let l(b) = 26*b**2 - 17*b - 97. Let u(c) = -6*l(c) + 17*s(c). Let m(f) = -3*f**2 - f**2 + 2*f**2. Determine u(m(w)).\nAnswer: -12*w**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(23\/3)*(y**(-5)\/y)\/(y\/(y\/y**(-9\/7))*y) assuming y is positive.\nAnswer: y**(-281\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 6. Suppose 0 = 2*p + 2*o - 18, -2*p - 5*o = -0*p - 15. Let a be l(p). What is the lowest common multiple of 8 and (a\/(-5))\/((-4)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 8405 - 12660. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 - 191. Let q(i) = i**3 - 4*i**2 + 5*i - 14. Calculate q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 3 - 0. Suppose 0*o - 183 = -4*o - c, -c = -p*o + 87. Suppose -9 + o = 3*d. What is the highest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119292.49 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -88, -173, -292, -445, -632, -853?\n\"Answer: -17*o**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63286.\nAnswer: 2, 31643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604635, -1209238, -1813839, -2418438?\nAnswer: -3023035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/12))**(-6\/13)*(g*g**(-2\/29))**(-8\/9))**(-24) assuming g is positive.\nAnswer: g**(7140\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q*q)\/(q\/(q*q\/((q**(4\/3)\/q)\/q)))*q*q*(q**4*q*q)\/q*q\/(q\/(q**(-1\/2)\/q)*q*q) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*m - 18*m - 0*q + 3*q - 37, 5*q + 205 = 5*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3755 by 5.\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*v**3 - 126 wrt v?\nAnswer: -207*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - (-28 - (-13 + 3) - (-64 - -28))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27390891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9805354 or 9805365?\nAnswer: 9805354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 18385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1541 + 9*w**2 + 1544 + 0*w**2 + 2*w**3 + 3*w**2 as s*w**2 + b*w + f*w**3 + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 - -20134200?\nAnswer: 20133313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2560 and 11.\nAnswer: 28160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45674, -91358, -137048, -182744, -228446?\nAnswer: -274154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa0754 (base 13) to base 2.\nAnswer: 100001101010111011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)*i*i*i**1)\/(i**(1\/5)*i**(4\/7)) assuming i is positive.\nAnswer: i**(928\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -26411\nAnswer: -6\/26411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -3*h**8\/560 - h**5\/12 - h**3\/3 + 11. Let x(o) be the third derivative of i(o). What is the second derivative of x(u) wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8697 and 55527?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 7 = -20. Let f(u) be the first derivative of -u**5\/4 + u**4\/6 + u**3\/6 + 2*u + 1. Let b(w) be the first derivative of f(w). Calculate b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.54 and 19.\nAnswer: 371.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 3 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.403 - 0.703. Let c = 9.5 - 10. What is the second biggest value in l, c, -5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2236810 by -447362.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-8))\/(19\/1292)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460467?\nAnswer: 3, 7, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*y = -0*y - 4, 4*y = l + 12. Suppose -3*k + l*k - 2 = 0. Let s(r) = 2*r**3 - 3*r**3 - 4*r**2 - 3*r - 2*r**k. Calculate s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1729 by -1420.\nAnswer: -1729\/1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24496542 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1219 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/4045 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 9*u**2 + 26*u + 22. What are the prime factors of h(-9)?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + k - 2 + 3.\nAnswer: k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/13*n + 2\/13*n**2 + 200\/13.\nAnswer: 2*(n - 10)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10073300 and 600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -222 + 534 - 236 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w + 2 = -24, -3*c = w + 18. Let k(q) = 2*q**2 - 7. Let d(p) = -5*p**2 + 15. Calculate c*k(n) - 3*d(n).\nAnswer: n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 17 + -12 - (-51 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (1596\/(-15))\/(17\/(-170))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (221\/(-78))\/((-2)\/3 - 0) and -95\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 221700?\nAnswer: 443400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {q: 3, h: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8, h + 9 - 376 = -4*w. Let o = h + -196. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14046652 (base 9) to base 16\nAnswer: 69e4ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 122. Suppose -o - 137 = -3*f - 3*o, 5*o = -4*f + 192. Let b = x - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 106208 and 955883\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -280706 divided by -178?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 3072*i - 6140 = 0. Calculate i.\nAnswer: 2, 3070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66563*w - 3*w**2 + 0*w**3 - 66578*w - 3*w**3 to the form t*w + c*w**2 + d + q*w**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 7*a + 5. Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17953429 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2f?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5364)\/(-1377) - 4 - (-2)\/(-17). Is v at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/10779 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8180454414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.49794 to one decimal place.\nAnswer: -164.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5 - 524*z**4 + 26280*z**3 - 488260*z**2 + 3278518*z - 2816016 = 0. What is z?\nAnswer: 1, 17, 24, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22996975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 31. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 35 + 165. What is the smallest common multiple of m and (-483)\/(-15) - (-180)\/100?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 467*l - 13942. Calculate p(30).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24514 divided by -16\nAnswer: -12257\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 + i + 2. Let r be u(-2). Let l = 2 - -2. What is the second biggest value in l, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 2, q: 6, d: 2, g: 1}. Give prob of sequence gccc.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11544 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458945 is divided by 368?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 + 75 = 22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:12 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*f + 30, -v + 1493*f + 8 = 1495*f + 33 + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r + 41. Let s be w(-4). Let a(d) = -4*d - 25. Let i be a(s). Solve 4*m + i + 1 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(-2)\/((-12)\/(-9)). Suppose 0 = -2*y + y + b. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -48 (b) 12\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (-2*sqrt(1900))**2.\nAnswer: 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1906025ml to litres.\nAnswer: 0.0001906025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -48*q - 45*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 = 14. Sort -5, 2, 0, j in decreasing order.\nAnswer: 2, j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -76. Let o be -3*(-1 - -10)\/(n - -3). Suppose 21 = -2*u + o. What is the remainder when 12 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 - -6bc85?\nAnswer: 6bbbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 2*r**2 - 2 - 6*r**2 + r**3 - 2*r to h*r + f*r**3 + n*r**2 + u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -3 - -1) + -3. Which is the closest to 0.2? (a) g (b) 1\/2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -465877359\/2 or -232938681?\nAnswer: -232938681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13194023, -26388043, -39582063, -52776083?\n\"Answer: -13194020*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -34, -57, -90, -133, -186, -249?\n\"Answer: -5*n**2 + 2*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 + 598 + (-2 - (24 + 6 + -11)).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 27*m + 27. Let t be d(27). Solve -3*n = 6*n + t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -389 - -744. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.1. Let v = h + 0. Which is the nearest to v? (a) 1\/3 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9708*l**2 + l + 332?\nAnswer: -19416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)*(-3 + 4). Let g = 6 + y. Let p be ((48\/g)\/4)\/(-6). Is -1 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1970 + 5651. Let d(r) = 1320*r + 24. Let x be d(4). Let h = v - x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + -5 + 6 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1510956 < -1510957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j - 1 + 1 + 3.\nAnswer: -29*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15406 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5 - 1. Let a = -3 + 3. Suppose 2*t + u = -t + 11, 13 = 3*t - u. Solve a*l = -t*l - h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265 - -1020010?\nAnswer: 1016412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 312? (a) 0 (b) 4 (c) -3\/40 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4118?\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 1, o: 1, m: 3, t: 3, q: 2}. Give prob of picking 2 m and 1 t.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 364387*g**4 + 91*g**2 - 1019.\nAnswer: 8745288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36205 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:45 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*k - 27. Let b = 48\/217 - -2\/31. What is the closest to b in 2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(143) - sqrt(143)) + sqrt(143))*2)\/sqrt(11))**2 + sqrt(78)\/(sqrt(6) + sqrt(6) + sqrt(600)*-2).\nAnswer: -sqrt(13)\/18 + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71575968 and 2.\nAnswer: -143151936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.82 + 0.18. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 14*p - a - 2800, -3*a = 2*p - 1120. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -100282004, -200564017, -300846030, -401128043, -501410056?\n\"Answer: -100282013*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.4798 and 2160938.\nAnswer: 2160935.5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867684 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61932477?\nAnswer: 3, 59, 131, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 242, 233, 222?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 422\/424)*123804\/144. Let h = d - -46\/53. Find the common denominator of 366\/56 - 2\/(-8) and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5845 rounded to two dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 - 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7711 divided by 9.\nAnswer: 7711\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g - 16. Solve 0 = -l + 2*w - 7, 0*l - 3*l - g = -5*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/11)\/c*c\/(c*c**19))**(-8))**(7\/6) assuming c is positive.\nAnswer: c**(5992\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 632.4797 millennia?\nAnswer: 63247.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6330520 is divided by 6329746.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -r. Let a be (-12)\/(-7) - r\/14. Differentiate 0*q**a - 2 - q**2 + 1 with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-160)\/(-10)*(-7)\/(-4). Suppose u = 8*d - d. Suppose 5*k - d = 151. What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010110101 (base 2) to base 14.\nAnswer: -243b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1*4 + sqrt(209) - ((sqrt(209)*-1 + sqrt(209))*-4 - sqrt(209)))\/((-6*sqrt(1584)*-2 - sqrt(1584)) + sqrt(1584) + sqrt(1584)).\nAnswer: sqrt(19)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*v - 12*v + 6*v)*(-12*v**3 + 6*v**3 + 4*v**3)*(2 - 1 + 0).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4059, -17377, -39621, -70791, -110887, -159909?\n\"Answer: -4463*d**2 + 71*d + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 22. Suppose -d*v + 44 = -43*v. Suppose -41 = -3*h - 4*n, 0 = 3*h + 5*n - 18 - 25. Calculate the highest common divisor of v and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, -83, -1\/4, -0.3, 2\/13, 2.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Let n be y(1). Let l = 6 - n. Let t = 11 - -1. What is the lowest common multiple of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10296)\/3146)\/(180\/264))\/((-3)\/80)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115 divided by -10897?\nAnswer: -4115\/10897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+568442.1\nAnswer: 568441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -0.3, -8\/555, 2, 0.4, 2\/11, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let i = 10 + -6. Suppose -3*u + 9 = 0, 0 = 4*a - a + i*u + 9. Determine s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -18.1. Let l = 24 - s. Which is the closest to 0? (a) l (b) -2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - -5 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 21 = -k + 4*x, -3*k - 2*x = -11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1529*z**3 - 2 - 7*z + 3063*z**3 + 7*z**2 + 5*z - 10*z - 1532*z**3. Determine k(-6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 13068 + 12978. Let j(n) = n**3 - 10*n**2 + 6*n + 5. Determine j(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**16*r)\/r**2 assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i + 17. Let d(y) = 193*y + 84. Let v(l) = 2*d(l) - 11*m(l). Give v(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -145615036*q**2. Let j(u) = -8*u**2. What is j(f(s))?\nAnswer: -169629909674250368*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 + 210*t + 40. Let n be y(35). Solve h + n = 9*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -142, -410, -880, -1606, -2642?\nAnswer: -4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + w**4 - 4*w**3 + 239*w**2 - 120*w**2 + 0 - 118*w**2 as j*w**2 + b*w + u*w**4 + g + k*w**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16.686*4\nAnswer: -66.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((2*sqrt(280) - sqrt(280))*6)\/(sqrt(20)\/(-2*sqrt(4))))\/((2*sqrt(352) + sqrt(352))\/sqrt(11)*-5).\nAnswer: 2*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2055853 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -4290968?\nAnswer: 91\/4290968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 39*t**2 - 66*t + 108. Let f(i) = 18 - 277 - 8*i**3 - 65 + 199*i + 116*i**2. Let b(s) = -6*f(s) - 17*y(s). Factor b(g).\nAnswer: -3*(g - 1)*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((5 + sqrt(7)*1 - (sqrt(7) + (sqrt(1008) - (sqrt(1008) + sqrt(1008)*-1) - sqrt(1008))))*6)**2 - ((sqrt(70)*1 - sqrt(70))*-6)\/(sqrt(160)*-2)).\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-14))\/((-1)\/8). Suppose -8 = 2*h - n*h. Suppose h*i = -20, -6*r + 2*r = 5*i - 227. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(243)*-2 + (sqrt(27) + sqrt(54)\/sqrt(2))*3)\/(3*1*sqrt(441))*2)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493, 1993, 4453, 7849, 12157, 17353, 23413, 30313?\nAnswer: 38029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let d(v) = -3*v + 2. Let w be d(2). Let u be y(w). Let a be (48\/(-9))\/(-4)*(-54)\/(-4). Calculate the highest common factor of a and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 65853864*n**2\/7 + 271045778587008*n\/7 + 542091293758592\/7.\nAnswer: 4*(n + 2)*(n + 8231732)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2812 and 124530826?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2279255 or 9117019\/4?\nAnswer: 9117019\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let o be j - 4 - (0 - 0). Let l be 2\/(-20) + (-2)\/4. Which is the nearest to -1? (a) 2\/7 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**2 - x + 1. What is q(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47062 at least as big as 47062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -4698 = -220819\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 - 8. Let c = s + -7. Suppose 2*g - c = -0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2 - 2*s**3 - 6*s**3 + 10*s**2 - 4*s**2 + 6*s. Let l = -301 + 284. Let v(o) = -23*o**3 + 17*o**2 + 17*o - 6. What is l*k(z) + 6*v(z)?\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 247440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 1. Let l be v(2). Suppose 4*y = l*y - 4. Suppose y*n + 60 = 6*n. Calculate the remainder when n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -227336, -227339, -227342, -227345, -227348, -227351?\n\"Answer: -3*n - 227333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 391048854 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-24) - (4 - (-1 - -3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50965 and 876628579.\nAnswer: 10193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 57?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csaarhcaesaeaesrscsa. Give prob of sequence cara.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 26. Let d = 53 + h. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 + 34*p + 128. Calculate l(-4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (17 - 3) + 0 + 29 + -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712 = 59*j + 92*j - 2977 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2. Let d(h) = -3*h. Determine s(d(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c**2 + 2*c + 1. What is h(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1024)\/20)\/((-4)\/10). Calculate the greatest common factor of l and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -25*p - 342. Let u be n(-14). What are the prime factors of 90\/(-80)*u\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2220, 4453, 6684, 8913?\nAnswer: 11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -131*c**7\/42 + c**4\/12 - c**3\/2 - 37*c**2\/2 + 156*c. Find the second derivative of h(n) wrt n.\nAnswer: -2620*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48 + 41 - (-680)\/1)*60?\nAnswer: 2, 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*u + j + 10, -5*u + j + 21 = 0. Let y = 0 + -0.1. Is y less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 16\/15*m**3 + 0*m + 25 - m**2 - 11\/75*m**5 - 7\/5*m**4. Suppose l(f) = 0. Calculate f.\nAnswer: -4, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 10, 1, -8, -17, -26?\n\"Answer: -9*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**2 - 112*n - 80 = 0.\nAnswer: -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -11021120?\nAnswer: 11021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68302 and -0.82?\nAnswer: -56007.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 24 = -q, 3*l + 8 = -0*l - 5*q. List the prime factors of l*469\/28*(0 + 3).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 214033225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 2*i**2 + 5. Let g be v(0). Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.06 (b) -1\/11 (c) -12 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -63*k**2 + 436*k + 29. What is i(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 277593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.5, -2\/9, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-10)\/8)\/(-3). Let t = 1.4 + -1.9. Which is the closest to -1? (a) t (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 0.11, -70?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v\/(v\/((v\/v**4)\/v)))*v**1\/v**6)\/(((v*v**1)\/v)**(-2\/19)*(v\/v**(-1\/3)*v*v)**(-47)) assuming v is positive.\nAnswer: v**(9050\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:14 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 + 5 = 0. Let i(k) = 3*k + j*k + 5*k - 3*k. Let s(b) = 4*b. Determine i(s(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -829, -1161, -1493, -1825?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1798 - 1889.3. Let r = 91.2427 + f. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 111?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 8*g**5\/5 + 9*g**2\/2 + 5. Find the second derivative of s(a) wrt a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let h = 0.8 + -0.7. Let s = h - -0.1. What is the smallest value in b, -2\/23, s?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 41, 39, 27, 5, -27, -69?\n\"Answer: -5*m**2 + 23*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-7) + 228\/(-532). Suppose 1\/3*o + 1\/2*o**4 - 1\/6*o**5 - 1\/2*o**x + 0 - 1\/6*o**3 = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 290*m**3\/3 - 7*m**2\/2 - 30*m - 1673. Find the second derivative of t(y) wrt y.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 i when four letters picked without replacement from vssisisvviiviivi.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**2 + 3*q - 3. Let i(b) = 396*b**2 + 55*b - 55. Give -6*i(y) + 110*x(y).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 1. Let h = 1 + j. Put 0.2, 0.3, h in decreasing order.\nAnswer: 0.3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 0.03855?\nAnswer: 4.03855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2851, -5584, -10137, -16510, -24703, -34716, -46549?\nAnswer: -60202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*w + 33*w - 159621. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**19\/g)\/(g\/g**7*g*g))**(-31) assuming g is positive.\nAnswer: g**(-682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5517090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 - 3 = 0. Let h = -3734 + 3879. Suppose d*b = 35 + h. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367*j**3 + 1224*j**3 - 838*j**3 + 292*j**3 - 2 + 1291*j**3 to z + b*j**3 + o*j + c*j**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 431854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 10930672?\nAnswer: -10930675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.887 - -0.253. Let r = 0.14 - t. Sort 0, r, 3\/5.\nAnswer: r, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/7)))**(-24)\/(z\/z**3*z**4))\/(((z**(-5\/4)\/z)\/z)\/(z*z\/(z*((z*z\/(z*z**(-4)))\/z)\/z)))**(-33) assuming z is positive.\nAnswer: z**(-1403\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -481, 1, 3, 30 in increasing order.\nAnswer: -481, -8, -3, 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5234025556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 19 = 3*j, -8*j = -d - 6*j + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 55*a - 30. Let s be t(19). What is the remainder when 104 is divided by 14\/(-4)*-16*4\/s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 1. Let i(m) = 3*m**3 - 11*m**2 - 4*m - 4. Let o(w) = w**3 - 3*w**2 - w - 1. Let z(j) = i(j) - 4*o(j). Give -s(x) - z(x).\nAnswer: x**3 + 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 16*d**2 + 5*d**2 + 20*d**2 - 5*d**2. Let y be (32\/6)\/(22\/33). Let q(t) = 10*t - y*t + t. Determine q(g(f)).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -222, -358, -500, -648?\n\"Answer: -3*l**2 - 127*l - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1512178.\nAnswer: -2\/756089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 336 - 11*l - 164 - 169 - 4*l + 2*l + 3*l - 4*l - l + 3*l + (-2*l + 0 + 0)*(0 + 3 - 1) - 2 + 2 - 2*l - 5*l + 0*l + 3*l - l + 5*l - 3*l.\nAnswer: -19*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 + 7. Let d = v - 0.3. Let o = -68 + 206\/3. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-15) + (-5 - (-4 + -2))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174 - 72 - 25 - 18 - 4*r.\nAnswer: -4*r - 1289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10791 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/6195 and -17\/840.\nAnswer: 49560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 104*r - 123 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1342023 (base 5) to base 13\nAnswer: -c838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16457)\/(-88) + 370\/(-32560). Let v(i) = 13*i**2 - 1. Let r be v(2). What is the greatest common divisor of r and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 1, d: 4}. Give prob of sequence dhd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 25 = -5*u, r - u = 22. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294256049 to the nearest 1000000.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8515 is divided by 200?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/141*(-12)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/37743 and 49\/78768.\nAnswer: 1811664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 5*n + 3. Let k = 32 + -18. Let w be 111\/21 + (-4)\/k. Let d be q(w). Solve 2*s = 3*s - d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11101011101?\nAnswer: 11101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:13 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from ommbmbmbmbbooo?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/45114550 and -36\/176605.\nAnswer: 496260050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-1)\/(-2))*111\/(-333)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4519.059676 to the nearest ten.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 17}. What is prob of picking 2 d and 1 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 48*q - 38. Calculate v(-3).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7cd + -233?\nAnswer: -a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*(2 + -3). Let y(g) = -8*g + 8. Let d(c) = -17*c + 17. Let n(v) = 3*d(v) - 7*y(v). Let q(h) = 10*h - 9. Let f(x) = 11*n(x) - 6*q(x). Give f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -617, -1975, -4075, -6917, -10501, -14827, -19895?\n\"Answer: -371*y**2 - 245*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noon when four letters picked without replacement from {o: 3, l: 1, n: 6, z: 3, e: 2, f: 4}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t**3 + 2*t**2 + t. Let k be u(-1). Let y be ((-16)\/(-14) - (-3)\/k) + 3. Let 9*s**2 + 0 + 5*s + 5 + y*s + 3*s**3 - 2 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 7*v - 5. What is u(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/17370 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244099 divided by 10613.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -15. Suppose 3 - 7 = -4*b, y = 3*o + 5*b. Let h(n) = o*n + n - 3*n. Let r(c) = 8*c**2. What is h(r(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.352001889 + -0.352. Round d to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 3*h - 5*h + 350*h**2 + h.\nAnswer: 350*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-16)*(10 + 208\/(-20)). Which is smaller: p or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287553 is divided by 148.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 912761606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17211+0.0357638\nAnswer: 17211.0357638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15875 in 3, -0.2, 238, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6) + sqrt(6)*-3) + 5)**2*-1.\nAnswer: -113\/4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 871, 872, 879, 892?\n\"Answer: 3*z**2 - 8*z + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68) + -1 + -5 - (1 + sqrt(68) + 2)) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -24*o + 9. Let s be g(9). What are the prime factors of (-5 - s)*3\/6?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 67) + (52 - 33 - (5 + -3 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 202*k**2 - 2440*k + 202. What is q(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131850853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*w + 2 + 4 - 58*w + 111*w.\nAnswer: w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - -2*(sqrt(252) + sqrt(252)*-2)) + 6*(0 + sqrt(252)))**2 + -2*(sqrt(252) - (-3 + sqrt(252)*3) - sqrt(252)).\nAnswer: 36*sqrt(7) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -872 + 879. Suppose z*u - 25*u = -9900. Let m be (6\/(-4))\/((-6)\/200). Calculate the greatest common factor of u and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 105 = -5*o. Let h be 15*(14\/10 - 1). Suppose v - 2 = 0, 5*l + 5*v = h*v + 13. Solve -o = -l*p - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1204236?\nAnswer: -1204234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 42. Let y(v) = 7*v**2 + 113*v - 6. Give y(b(u)).\nAnswer: 63*u**4 + 1425*u**2 + 7596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 4. Let s be c(-3). Let r = 12 + s. Suppose -5*x + r + 12 = 0. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-23))\/(12\/(8\/(-10)*10))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 - 122)\/4)\/(-1). Let n be 3\/(-4) - k\/(-40). Solve 5*g = -n*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n. Suppose 3*j - 214 = -n*j + p, -5*j = -5*p - 370. Let k = 33127 + -33117. What is the highest common factor of j and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 629, 2424, 5385, 9518, 14829?\n\"Answer: u**3 + 577*u**2 + 57*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3707989\/48 - 77247. Calculate the common denominator of d and -13\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 2 - (-2)\/4. Let h = 665.6 - 810. Let t = 144.1 + h. Which is the nearest to 2? (a) -3 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11416?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -543 at least as big as -534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110996 by 4.\nAnswer: -27749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 39\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52)*-5 - (sqrt(52)*3 + -2))**2 + -4.\nAnswer: 16*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -39530.\nAnswer: -39529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i - 2*i + 16*i)*(-13*i**2 + 3*i**2 - 2*i**2) + (0*i**2 + 3*i**2 - 2*i**2)*(-2*i + 3 - 3).\nAnswer: -362*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g. Let w(h) = -844*h**2. Calculate l(w(d)).\nAnswer: 6752*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1112 - -1123. Solve -6*k - 13 - a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26576, 53173, 79770, 106367, 132964, 159561?\n\"Answer: 26597*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) - (sqrt(170) + sqrt(170)*-1)))\/(-5*-1*sqrt(10)) + (sqrt(17)*-2*-5 - sqrt(17)*-1*2)**2*5 + 4.\nAnswer: -sqrt(17)\/5 + 12244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3527*l - 1222846 = -6123*l - 4609*l + 473975 for l.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -0.055, 3, -4, 2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 995984615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = -t - 46*y, 5*y = -4*t + 25. Solve -6*u + t = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o - 5. Suppose 4*h = -f + 4, h - 2*f = 1 - 9. Suppose h = -m + n - 2 + 3, 5*m - 33 = -2*n. Calculate u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 1 + 3*m**2 - 8*m + 6*m + 4*m. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 6*j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtn when three letters picked without replacement from {g: 1, m: 2, z: 6, a: 2, n: 3, t: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + (60 - 39 - (0 - -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989828319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244300320 (base 5) to base 11.\nAnswer: -7268a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -18*d. Let y(x) = -33*x. Give y(r(z)).\nAnswer: 594*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050516 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 25*p - 3. Let v be s(-9). Suppose -35 = 2*l - 5*z, 23 = 5*l - 2*z + 58. Sort -4, v, l in ascending order.\nAnswer: l, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.985 - 0.015. Sort -2, 2, 0.4, q in descending order.\nAnswer: 2, 0.4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38187400 divided by 3\nAnswer: -38187400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 54*d**3 + 11*d**2 - 11*d + 11. Let o be (0 + (-21)\/(-35))\/((-12)\/(-40)). Let b(l) = 11*l**3 + 2*l**2 - 2*l + 2. Calculate o*c(m) - 11*b(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9570*c**2*t + c**2 - 4*c*t - 2*c + 18 wrt c.\nAnswer: 19140*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*x**3 + 28*x**3 + x - 59*x**3 - 6*x + 18 as k + j*x**3 + a*x + y*x**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -44*w**6\/15 - w**4\/4 + 16*w**3\/3 - 7*w**2\/2 - w + 196. What is the second derivative of t(g) wrt g?\nAnswer: -1056*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8368 - -8372. Sort 2\/7, 11, q, -1 in ascending order.\nAnswer: -1, 2\/7, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54637971 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 212, 526, 966?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Let a = 6850\/3 - 2283. Let w(s) be the first derivative of -a*s**3 + 0*s + 4 + 0*s**2. Calculate l(w(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {o: 4, g: 1, a: 1, s: 2, n: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(-308)\/572.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - 4.62. Let o = -4 - l. Suppose 3*z - 3*i - 9 = 0, 6*z - 3*z + i + 7 = 0. Which is the second biggest value? (a) -3 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -1, 5, -10 in ascending order.\nAnswer: -14, -10, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-18)*144\/14. Let k = o + -19. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n + 169*n - 94*n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 701*l**2 - 36*l + 67. Let a be x(2). Let j be (a\/6 - -2)\/((-8)\/48). What is j rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -182, -3 in ascending order.\nAnswer: -182, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1323\/6578 + -7\/46. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 3038.\nAnswer: -2, 3, 3038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103784496 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: Expand (k**3 + k**3 - k**3)*(0 + 0 + 3*k**2) + (-3*k**2 + 3*k**2 + 2*k**2)*(4*k**3 + 0*k**3 - 3*k**3).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*d + 15. Suppose d*c = 0, -3*n - c + 369 = -66. Let j = 151 - n. Calculate the least common multiple of 36 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180683.593 + -303.81?\nAnswer: -180987.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, d: 2}. What is prob of picking 2 m and 2 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25287460 divided by -18458?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/30 - (-1210)\/100. Calculate the highest common factor of d and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = -5*l - 10, 0 = -l + 4*q - 22. What is the tens digit of (198\/(-5))\/(l\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001122471 rounded to six dps?\nAnswer: 0.001122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(567) + -1 + sqrt(567))*-6)**2.\nAnswer: -1944*sqrt(7) + 183744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4\/9 - 8936*i**3\/9 - 207164*i**2\/9 - 361312*i\/3 + 144448 = 0. What is i?\nAnswer: -12, 1, 2257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -31. Let q = -5 + j. Calculate the greatest common factor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1198, -2475, -3754, -5035, -6318, -7603, -8890?\n\"Answer: -v**2 - 1274*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.01, 0.1, 2.8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738741 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -550 <= 0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5293212 is divided by 20516.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3. Suppose v*i = 6*i - 408. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a88 + 2?\nAnswer: 1a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1688, 1689, 1690, 1691, 1692?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 - 17 = -83*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 262398822 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55990 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 133, 470, 1129, 2218, 3845, 6118?\n\"Answer: 18*u**3 - u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 5. Let t be o(-6). Let z = -177 + 175. What is the third smallest value in -1\/6, z, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104937 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 n when four letters picked without replacement from zncccfnnzhnzzz.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.39.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -879254, -879219, -879182, -879143, -879102, -879059, -879014?\nAnswer: -878967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*580\/(-87). What is the units digit of r + -6 + (1 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a5d0 - 187?\nAnswer: 1a447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 78. Solve t*b - b = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**3 - i**3 + 0*i**3 - 5*i**3 + 2*i**2 + 0*i**2.\nAnswer: -46*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3 + 2)\/(-1)). Let k be 1 + -2 - 1*s. Solve -5*q + k*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 1. Let p(q) = -2*q**2 + 6*q + 1. Let g(s) = 3*l(s) + p(s). Let b be ((-6)\/(-2*1))\/(-1). Calculate g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 9*i + 21. Let k be m(6). Suppose -k*t = -166 - 236. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 4*(sqrt(208) + -5*sqrt(208))*1 + 0)**2 + -3.\nAnswer: -384*sqrt(13) + 53259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3 - 3 + (3 - 3 - 4*j)*(-3 + 1 + 3).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*l + 23 = 0, 4*h + 0*l = 2*l + 54. Let k(r) = -r**2 + 17*r - 1. Is k(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355759721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = 2*q + 2*f, 0 = 5*q - 5*f + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 265 = -8*n + 3*n, 4*n + y - 224 = 0. Let l(c) = c + 3. Let u be l(0). Calculate the remainder when 11 is divided by n\/9 + (-1)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = 2*s. Let m(d) = -4*d**2 - 171*d + 35. Let n be m(-41). Let q = -323 + n. Sort q, 1, -6, s in increasing order.\nAnswer: -6, s, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332022 (base 5) to base 8\nAnswer: 26370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpccccccxpc. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 844435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/5 - 33506*u**2\/5 - 4727606*u\/5 - 167472102\/5 = 0.\nAnswer: -16611, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 22 = 3*u. Let d = u - -18. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 129*u - 648 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9797695 and 63160?\nAnswer: 78381560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985839043.\nAnswer: 21803, 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z - 2*i + 17357, -4*i - 20 = 0. Suppose -o + z = 2*v + v, 1951 = v - 5*o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278836133?\nAnswer: 3, 23, 181, 102397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 199 = -3*g, -4*j + 0*j + 5*g + 395 = 0. Solve 12*s + 7*s = -j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1395491.\nAnswer: 279098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 2*h**4 + (3 - 3 + 2*h**3)*(-3*h + h + 0*h) + (h**3 - h + h)*(-188 + 23*h + 188) - 4*h + 2*h**4 + 4*h - h - 2*h**4 + h.\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 6*n - 5. Let z be q(-3). Sort 4, 0, z.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 - 7*l + 8. Let f be z(-4). Suppose -f*o + 177 + 303 = 0. Round o to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 522 - 171. Calculate the highest common factor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 700 + 106 = -41*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - f - 298, -u - f = f - 97. Let w = u - 53. Suppose 451 = 5*s + w. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 569552?\nAnswer: 7404176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93477517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + sqrt(4)\/sqrt(2)*-5)*-1 + -4)**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 rounded to the nearest 10?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2 - 1, 2*m = -y + 54. Let d = 64 - y. Suppose -18381 + 5125 = -d*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:03 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 33\/7048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {t: 3, s: 4, e: 1, d: 2, h: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1559.\nAnswer: 14031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168505631 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0*c + 0*c - 2 + 2*c - 4. Let l be j(15). Suppose -p + 4 + l = 0. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 500, 2664, 6284, 11372, 17940, 26000, 35564, 46644?\n\"Answer: 2*k**3 + 716*k**2 + 2*k - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114928.\nAnswer: 2, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = f + 6, 0 = -183216*f + 183220*f + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*z = -25, -3*z - 13 = 6*h - 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 10. Let o(t) = -14*t - q*t + 4*t. Calculate the remainder when 29 is divided by o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/401 or 0?\nAnswer: -3\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12.92386kg?\nAnswer: 12923860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 65*j - 1031. Suppose 4*l - l = 330. Suppose 5*s + l = 10*s. Calculate the least common multiple of b(16) and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118428 and 1988?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + o**2 - o. Let k(w) = -w. Let v(p) = p**2 - p - 1. Let h(l) = 2*k(l) - v(l). Let c = -20 - -21. Give c*t(i) - h(i).\nAnswer: -2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -189. Is x greater than or equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-6)\/(2 + 144\/(-68))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033371 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.02 (c) -2\/3 (d) -0.36 (e) 0.07 (f) 108\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38763216 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h + 9. Let v = h - 0. Let g = -68 + 68.4. Which is the third biggest value? (a) v (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.5. Let l = 0.6 + p. Which is the second biggest value? (a) 2 (b) -8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1395279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129901829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + (2 - 2). Let f = 5 - 1. Suppose 5 = -5*r - 5*g, -3*r + r - f = 3*g. Sort -4, r, z in increasing order.\nAnswer: -4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 7*p**2 - 11*p - 2. Let z(y) be the first derivative of 3*y**4\/4 + 4*y**3\/3 + 3*y**2 + y + 15. Determine -4*o(m) - 7*z(m).\nAnswer: -m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134714065 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000263056029 to 7 dps.\nAnswer: 0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8757184*h**2 + 11347077*h?\nAnswer: 17514368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/(4\/(1 - -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6193 + 74365\/12. Let d be 984\/7 - 6\/(-14). Find the common denominator of (-2)\/(-4) - d\/(-60) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 816*h + 1631*h - 815*h - 7*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 2*t**2 - 3*t. Let w be m(-2). Let k = w + -4. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-19)*4\/(-3))\/(4\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -2*(1 - 0). Let t(r) = 8*r + 3. Let w be t(b). Let z = 54 + w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 59. Suppose -2*z + 6 = 5*i - z, 0 = 5*i + 5*z + 10. Suppose 2*c = c - i. Sort s, c, 2 in decreasing order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(25 + 6*p - 25) - 2*p + 1 - 1 - 3 in the form j + h*p and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/1*3\/(-9). Suppose 0 = -5*r + 2 + t. Solve r*j - 2 + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -1\/60*a**5 - 24*a**2 + 0 - 17\/6*a**3 + 0*a + 5\/12*a**4. Let v be w(7). Solve 3*c = -c + 4*y, 5*c - 18 = -v*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 2:22 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.2 + -49. Let b = i - -67. Let q = 0.2 + b. Are q and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Let y(a) = -a + 5. Let k be y(d). Sort k, 0.3, 0.\nAnswer: 0, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575, -1010, -1481, -2006, -2603, -3290, -4085?\nAnswer: -5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7390 is divided by 2462.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -40, -198, -532, -1102, -1968, -3190, -4828?\n\"Answer: -10*n**3 + 2*n**2 + 22*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 at least -408061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 67*y**2 + 2*y - 8. Let q(z) = -2*z**3 - 68*z**2 + 2*z - 7. Give 5*j(v) - 4*q(v).\nAnswer: -2*v**3 - 63*v**2 + 2*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*b = -3*b + 14, 0 = -2*m + 3*b + 2. Suppose m*s + 6*i - i - 196 = 0, -4*i + 200 = 4*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 83 = 5*k, 0*n - 89 = -5*k - 2*n. What is the greatest common factor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + 3*s**2 - 2*s + 2. Let a be o(2). Let h = a - -32. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + 13*y - 8*y - 4648*y**2 + 3*y as h*y + p + z*y**2 and give z.\nAnswer: -4648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4\/3)*18. Suppose -n = -4*o - 0. Solve 26*m**2 - 3 + 6 + 3*m**4 - 13*m**3 - 12*m - 8*m**2 + m**o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2. Let u(q) be the third derivative of -17*q**4\/3 + 15*q**2. Determine u(y(j)).\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 12)*(1 + 314). What is the hundreds digit of 5908\/18 - (-7)\/t*10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0*(-6)\/18)\/3)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 7\/12*g**4 + 1\/10*g**5 + 0*g + 78*g**2 + 0 + 0*g**3. Find the second derivative of n(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578441754 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2444*p**2 + 78 - 162 + 84 - 1902*p wrt p?\nAnswer: -4888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512271 is divided by 189033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 724183 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 2. Let f(p) = -544*p**2 - 6*p + 13. Give -f(x) + 6*s(x).\nAnswer: 544*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*(-8)\/(-4). Factor x**2 + 3*x + 1 - 4*x - a.\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 1485\/(-22). Suppose -17*x - j = -19*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1360 or 1385?\nAnswer: 1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-267)\/(-66) - 4 - ((-684)\/(-44) + 75\/(-50)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 1. Let l(f) = -f. Suppose 4*s = -s + 3*m + 122, 4*s - 2*m = 98. Suppose 6*q - s = -7. Give q*u(v) + 8*l(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, 4, -38 in increasing order.\nAnswer: -38, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -687153 times -2?\nAnswer: 1374306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/66 and -22 + 26 - 173\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*k - 7. Let y(t) = t. Let u(a) = -2. Calculate k*u(r) - 5*y(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22259835373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 10*b**2 - b - 3. Suppose 21 + 19 = -4*m. Let i be w(m). Suppose i*k - 52 = 5*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 4*f**2 - 37*f**3 + 0*f**2 + 17*f**3.\nAnswer: -12*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/9*93\/217?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.2, 1, -9, -0.09, 37, -4 in ascending order.\nAnswer: -9, -4, -0.2, -0.09, 1, 13, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3 - 2 - 2 + 2 + (2 + 2 - 2)*(-3 + 3 - 2))*(p**4 - p**4 + 2*p**4)*(-5 + 6 + 8) + (-1 + p + 1)*(0*p**2 + 2*p**3 + 0*p**2).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 4. Let y(l) = -1 - 6*l + 0*l + 7*l. Determine 2*b(p) - 6*y(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 7, -0.1, 2\/3, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 36 = -4*y + 26, 3*y = -t - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:59 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxx when three letters picked without replacement from {r: 3, c: 4, x: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 5, t: 3, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4 + 5 - 4 - 6*l**2 - 3*l**2. Let t(u) = 4*u**2 - 2. Let b(f) = 2*p(f) + 5*t(f). Suppose b(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d - 130. Let p be f(-10). Let t = p + -4. Calculate the highest common divisor of 258 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*i*l - 2*h*i - 41610224*h*l - 1410*i*l - 2*i - 1529*l + 1 wrt h.\nAnswer: -i*l - 2*i - 41610224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let n(j) be the second derivative of -33*j**4\/2 - 8*j - 2. Calculate d(n(x)).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4041054844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 190830 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + 214 + -4 + -1 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*u**3 - 279*u**3 - 283*u**3 + 888*u**3 + 10 - 10.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146894.2 minutes to microseconds.\nAnswer: 8813652000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228\/4*36\/108\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150\/17? (a) 5 (b) 0.5 (c) -222 (d) -1\/4 (e) -0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 3001, 1.\nAnswer: -0.8, 1, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a + 1950 = 3*v - 43*a, 0 = v - a - 656. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*y + 2, 2*x = 5*y + 5*x - 4. Solve y = 2*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let a be ((-24)\/(-9))\/(-2)*s. Sort 5, 4, a in decreasing order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 689, 1053, 1393, 1697, 1953?\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6928690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 45*r - 3. Let d be i(3). Suppose 5*x - d = x. Calculate the remainder when 63 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((-16)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.51, -0.7, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 409327649971 from -0.7.\nAnswer: -409327649971.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 8687560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -63. Let s = 4.93 + -8.95. Let l = -0.02 - s. What is the nearest to 2\/5 in l, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 108\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 48 = -4*j, -37*r + 11 = 3*j - 35*r. Sort -0.1, j, 0.08 in decreasing order.\nAnswer: j, 0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/29 - -101\/203. Let w = -288\/5 - -58. Let z = 93 + -93.4. Which is the biggest value? (a) h (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*r + 11, -6 = -3*r - 4*o + o. Suppose -r*c + 604 = -551. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/6 - (-5)\/(-15). Suppose -f = -2*p, -3*q + 15 = -3*p - 0*p. Is ((-26)\/q)\/((-2)\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 0*r**2 + (5*r - 3*r - r)*(1 - 1 - 2*r) + 0 + 0 + r**2)*(2 + 2*r**3 - 1 + 0).\nAnswer: -6*r**5 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g + 1353 = 0, 2*m = -g + 890 + 457. Round m to the nearest ten.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.003128 to two decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2818000 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 + 1379 = 5*z + 4*a, -2*a - 857 = -5*z. What are the prime factors of z?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*g**3 + 51*g**2 + 1?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*g**4 - 175*g wrt g?\nAnswer: 2868*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 17 + 52 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178773 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 4. Let g(k) = 4*k - 4. Let d(t) = 3*f(t) - 4*g(t). Is 5 a factor of d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/78 and 139\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.04 (b) -1\/7 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 219*a - 209*a + 324 = 0, 0 = -6*a - 18 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 3*z. Let s(q) = -3*q**2 - 55*q + 2. Calculate 4*n(d) + s(d).\nAnswer: d**2 - 43*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 1872. Let g(z) = 1807*z**2. Give a(g(i)).\nAnswer: -1807*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -40*y - 202. Let f be r(-2). Let d be (2 - 3) + -117 - 2. Let k = d - f. Solve c - 2*u + 3*u = k, u = -4*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 513 = -3*a - 642, n = 2*a + 770. Let y = 732 + a. What is the remainder when y is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -7*q - 20. Put q, -2, 0 in ascending order.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 2*l - 2. Let d(w) = w**2 - w. Let v(s) = 3*d(s) + r(s). Let k be v(-1). Let m(h) = 2 - 3*h**2 + 0 - 1. What is m(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3927341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 36227.61 milliseconds?\nAnswer: 0.010063225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5*u**2 - m**3*u**2 - 653*m**2 - 10098*m*u**2 + u wrt m?\nAnswer: 60*m**3*u**2 - 6*m*u**2 - 1306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -15) + -4 + 13 - (1 + 43)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010111000101100 - -101?\nAnswer: 1100010111000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.34. Let z = 0.7 + -12.7. Let v = z - -8. Which is the smallest value? (a) r (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l - 10. Let w be g(7). Suppose -3*s = -s - w. Suppose s + 12 = 5*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 71. Suppose -i = -2*k - 5*w + 3, 4*k + 5*w = 22. Sort 1, 4, k in ascending order.\nAnswer: 1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -74*b - 2. Let q(r) = 54*r + 1. Calculate -10*f(s) - 15*q(s).\nAnswer: -70*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 t when three letters picked without replacement from {c: 1, o: 1, n: 1, t: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-10)\/8*2\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 57. Let v(c) = 3*c**2 + 14*c - 15. What are the prime factors of v(w)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 80. Let k(x) = 4*x - 33. Let r be k(f). Solve c = -r + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903139716 minus 1?\nAnswer: 903139715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -27. Let u = -14.999992 - q. Round u to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 7. Let n be u(-4). Let c = 0 + -2. Let a be (-4)\/c*45\/6. Solve -n*o = -0*o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.04, 1\/2 in descending order.\nAnswer: 1, 1\/2, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**4 + 21*d**3 + 18*d**2 - 157*d + 8152795?\nAnswer: -4*d**3 + 63*d**2 + 36*d - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/((o**1*o*o)\/o))\/o)))**(1\/23)\/(o\/((o\/o**(-1))\/o))**(-40) assuming o is positive.\nAnswer: o**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3534 - -37.7534. Which is smaller: l or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/30 - 155*y**2. Let j(x) = -42*x**2 + 4*x. Give j(c(a)).\nAnswer: -168*a**4 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 15 + 2*x**3 - 16 + 1 - 37*x**2 + 57 - 16.\nAnswer: 2*x**3 - 37*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 766727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*g - 21 = 0, -4*z - 2*g + 34 = -0*z. Solve 172*o = 164*o + z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 + 424836\/8496)\/((-1)\/8)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*f**3 + 2 - 3 + 5*f**4 + 4 - 2*f - 47*f**3 + f**2 as u*f + s*f**3 + k + w*f**2 + n*f**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -906 - 1272?\nAnswer: -1b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -504.91 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 357 = 4*m, -2*m + 68 = -m + 4*w. Let g be 0 - -13 - (-1 + 3). Calculate the highest common factor of m and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19024.4 times -488\nAnswer: 9283907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r + 41*r - 200 + 170 + 35*r - 154.\nAnswer: r - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * -14167233.\nAnswer: 2975118.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*j = -2*j + 39, -270 = -5*t + 5*j. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10464, 41856, 94174, 167418, 261588, 376684?\n\"Answer: 10463*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)*n**(1\/8))\/(n*n\/n**(-1\/5)*n*n*(n*n*n**(1\/7))\/n*n) assuming n is positive.\nAnswer: n**(-19431\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 1 + 2)*(-3*r**4 + 3*r**2 - 3*r**2) as p*r**3 + a*r**4 + z + j*r + d*r**2 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 + 32*f**3 - 336*f**2 - 1152*f + 6912 = 0.\nAnswer: -12, -6, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7613 minus 186298?\nAnswer: -186298.7613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 81*o - 535214. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.4 + 1.4. Let y = s - 0. Let g = 7.9 + y. What is the nearest to g in -0.3, 3\/5, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(2\/8). Suppose 0 = -3*b + b. Let r be (a - (-1)\/(-1))*b. Solve r = n - 3*h + 6*h + 6, -3*n - 14 = 5*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110059152 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -357*q + 2079. Let z be h(6). Is z at least -680\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**3\/3 + 168. Let w(l) = -691*l + 2. Determine b(w(k)).\nAnswer: 477481*k**2 - 2764*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 - 17*y**4\/12 + 73*y**2\/2 - 60*y. What is the derivative of m(b) wrt b?\nAnswer: -3*b**2 - 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 1. Let m(s) = 2*s + 4*s**2 + 3*s**3 + 1 - 2*s**3 - s**2. Let n be m(-2). Let r be t(n). What is the highest common divisor of r and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16944.6 * 0.8\nAnswer: 13555.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949835 is divided by 19383.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 12*w + 3*w**3 + 3*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 - 2140*g**3 - 4751*g**3.\nAnswer: -6868*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -54, -118, -206, -318, -454?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - s = 4*x - 24, -24 = -3*x - 5*s. Let a = x + -7. Let i be 1 + 1 + 1\/a. Solve 10 = -4*r - 0*r - 2*t, i*t = r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = b + 6, -12978*p + 2 = -12979*p + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 26*n + 24*n - 9 = 0, 0 = -2*n - 4. Let w(r) = -4*r + 1. Let c(z) = 22*z + 5. Let j(q) = -c(q) - 5*w(q). Calculate j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -38 + 92 - 68.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 7662 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kssksakswkw. Give prob of picking 3 s and 1 a.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380211.\nAnswer: 31, 76781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*z + 16, -4 = -n + 11*z - 7*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*a - a - 88 = 0, 96 = 4*m + 4*a. Let g = m - 18. Suppose -r - 2*r + 12 = 0, g*l + 2*r - 12 = 0. Solve 2*p + l*p + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**3\/6 - 3*x**2\/2 - x. Let a be s(-7). Suppose a*r = -2*q + 4, 5*r = -2*q + 3*q + 12. Solve -n = r - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*a**4 - 554*a**3 + 2806*a**2 - 2022*a - 180 = 0. What is a?\nAnswer: -15, -2\/25, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 p when three letters picked without replacement from {f: 6, g: 1, p: 1, w: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/15 and -5\/21492.\nAnswer: 107460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -309000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (44 + 2)*(1 + 1182\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 406*x. Let n(o) = 37*o. What is z(n(m))?\nAnswer: 15022*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y, -4*m + m - 2*y + 31 = 0. Put -4, m, 1 in descending order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077795.\nAnswer: 5, 2415559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421*g**5 - 5337*g**3 + 5915533*g**2?\nAnswer: 25260*g**2 - 32022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**3 + 11*v**2 + 52*v - 6. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0*d**3 - 1\/10*d**5 + 0 - 2*d - d**2 - 1\/4*d**4. Let h(f) = -2*f**3 - 2*f**2 - 2. Let i = -56 + 59. Give i*h(s) - 2*r(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (1 + -12)) + -6. Solve 4*d - 3*d - v = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/72 and 89\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -0.5 in increasing order.\nAnswer: -4, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561 + 152*r**2 + 563 - 69*r**4 + 72*r**4 - 8*r**3 + 6*r**3 to o*r + l*r**2 + u + v*r**3 + z*r**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70753.88l in millilitres?\nAnswer: 70753880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*x = -124 + 21, -3*b + 5*x = -99. What is the highest common factor of 112 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h - 220. Calculate the remainder when j(-31) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 + 502 = -3*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62493 = -646*n + 649*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5579100 and 18000?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000201518 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 775544*p**4 - 2*p**3 + 26*p**2 - 26015?\nAnswer: 18613056*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 + 1)*(7*o - 18 + 18)*(0 + 2 + 10 + 5).\nAnswer: -1071*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -178, -287, -424, -595?\n\"Answer: -c**3 - 5*c**2 - 65*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.85 * 10.\nAnswer: 248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522002, -521954, -521906, -521858, -521810, -521762?\nAnswer: -521714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o + 11*o + 11*o - 5*o to the form v*o + c and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9108)\/(-462) - 108\/(9 + -3). Find h, given that -2\/7*h**3 - 12\/7*h**2 + 2\/7*h + a = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let w(l) = 2316*l + 10. What is n(w(i))?\nAnswer: -10727712*i**2 - 92640*i - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - (-102 - 9108\/(-99))*(-8)\/10.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 4, 341?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9747139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0\/(-1) + 10. Suppose -3*x + z - 3 = -l, -4*x = z - 5. Determine h so that 1\/2*h + 0 + h**x + 1\/2*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -232 or -236?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/(-8)*(-4)\/(-18). What is the common denominator of -28\/3 and s + (0 + -2 - 297\/(-36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 68?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -10*c + 20. Are c and -2\/261 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28172690 divided by 65.\nAnswer: 433426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 4*g**2 + 13*g**2 + 12.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 + i + 4. Let r(p) = p**3 - 7*p**2 + 5*p + 3. Let u be r(6). Let v be q(u). Let c be (3 + -10 + 75\/9)*3. Which is greater: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895306 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 24 = c, -112*n + 5*c = -116*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 286387714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1610\/10 + (1 - -2). Suppose 4*z - k = -4*u, -z + 4*u - u = -21. Suppose -12*w + 36 + z = 0. Solve 2*t + w = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 + b - 1. Give x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1)\/5*(-140)\/(-910)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587703 is divided by 3868?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456719238.\nAnswer: 2, 3, 3067, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80807852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005085 rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524769 is divided by 157?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-12) + -1)*-3. Let q be (3 + 1)*x\/(-4). Suppose 0 = 3*w - 4*w - 5*f + 18, -2 = -q*f. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Let i(q) = -q - 32. Let r be i(j). Let g be -3 + 1 + r\/(-14). Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/((i*i**1)\/i))**0*((((i*i\/(i\/(i\/i**(1\/3))*i))\/i)\/i)**(6\/7))**(-8) assuming i is positive.\nAnswer: i**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 811525*t**3 - 2*t - 342523?\nAnswer: 4869150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2076)\/1211)\/(4\/(-6)*10\/((-350)\/(-3)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 7*b + 3*b to w + s*b and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/41 (b) -3 (c) 2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -574991.\nAnswer: -80498.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10715.70505 to the nearest ten.\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1048 + -0.0048. Let o = 4.4 + -0.4. Let c be (-4)\/14 - 13\/28. Sort o, c, m.\nAnswer: c, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 - 2*d**2 + 0*d**2)*(-6*d + 0*d + 3*d) + (3*d**3 - d**3 - 4*d**3)*(-311 + 96 + 94) to v*d**2 + t*d**3 + k*d + h and give t.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*l = -1, 5*j + 2*l = l + 29. Suppose j*b - 24 = -p, -4*b + 2*b + 3*p - 4 = 0. Let m = b - 4. Solve m*f = 2*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120122110210 (base 3) to base 10.\nAnswer: -1902306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372 - 372. Suppose -2*m + 5*m - 24 = o, -m + 2*o + 8 = 0. Let s = m - 6. What is the nearest to d in 6\/7, s, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (3*(sqrt(17) + -1 + -2))**2.\nAnswer: -54*sqrt(17) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**0*y)\/((y**(-5)\/y)\/y))\/(y**(2\/7)*y*y*y)**(-18\/5))**(7\/6))**11 assuming y is positive.\nAnswer: y**(2673\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1215)\/(-1512) + (-3)\/7. Let l = 0.01 + -2.01. Which is the closest to 2\/17? (a) 0 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 217 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1385 - 2771 + 1386 + 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 + 12*a - 28. Let n(p) = -36*p**2 + 60*p - 139. Let u(g) = -11*i(g) + 2*n(g). Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 - w - 2. Let g(o) = 4*o + 5. Give 2*b(a) + g(a).\nAnswer: -2*a**3 - 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o\/(o**(-8)*o))*o)*o**(-7))\/(o**(2\/5)\/o**(-3)))\/((o**(-2))**(-46)*o**(7\/4)*o\/(o\/o**(2\/5))) assuming o is positive.\nAnswer: o**(-1931\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - 3*g**4 + g**4 + g**3 + 0*g + g in the form m*g**3 + a + w*g**4 + x*g + b*g**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 543.2818 and 818?\nAnswer: 274.7182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 70 = p, 0 = -449*p + 456*p - 2*r - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4 + (-27)\/(-36))*-10. Let l = b + 15. Solve l*x = -2*m + x - 7, 5*x = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114329437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = z - 17, 4*z + r - 2503 = -2519 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7*k = 410. Suppose -2*c - 3*s - 15 + k = 0, 3*s = 2*c - 389. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8254\/3 + -8552\/3. Let l = z + 98. Which is the third biggest value? (a) -2\/7 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/3 - 12*z + 80\/3 = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/(-6) - (-9)\/(-6). Let b = 3 + r. Suppose 3*q = 106 - b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 290\/8 - 36\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-17 + 12 - -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-14))\/(2\/(-14)). Let c = 87 + -82. Suppose 3*w - 2*b = 34, 3 + 4 = o*w + c*b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let w(c) = 3*c - 19. Let b be w(10). Suppose z - 2*y = b, 9*z - 4*z - 4*y - 31 = 0. Let m be o(z). Solve -2 = s + m, 5*d + s = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 9*u + 21. Let g be v(-12). Let r = g - 122. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6172267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/20 + 3)\/(0 - 21\/(-16)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209\/868 - 2\/217. Which is smaller: -8 or q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2780 - 2708. Calculate the remainder when 225 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/11 + 644*q**4\/11 - 11787*q**3\/11 - 54908*q**2\/11 - 57500*q\/11 = 0.\nAnswer: -2, 0, 23, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7526781.\nAnswer: 3, 71, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*l**2 + 20*l**2 - 7*l**2 to h*l**2 + c*l + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:41 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78594856?\nAnswer: 2, 9824357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -26. Suppose 0*n + 4*n = x. Suppose 0 = -3*y + 400 - 76. Calculate the greatest common factor of y and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 2, 7 in ascending order.\nAnswer: -37, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -1\/4*t**2 + 3\/4*t - 1\/2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*y**6 + 66*y**6 - 4*y**3 - 223*y**2 - 644*y**6 + 4*y**3 wrt y?\nAnswer: -79320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600) + sqrt(600)*1))\/sqrt(2))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8663 - -233872\/27. Calculate the common denominator of o and -19\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 855659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c + 32. Let w be p(-3). Let l be (7 - 12) + 5 + w. Put l, -3, 5 in increasing order.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276409856 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 6. Let y(f) = 121*f. Calculate b(y(g)).\nAnswer: 73205*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58116 and 5010?\nAnswer: 290580","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + -11 - -22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 0.15. Which is the smallest value? (a) d (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008.39 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -17 + 12 - 17 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knx when three letters picked without replacement from xnnknxx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5, -0.4, 1\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -165*w**4 + 38*w**5 + 165*w**4 + (-w**2 + 2 - 2)*(0*w + 0*w + w**3) + 0*w + 0*w - 2*w**5.\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66549 and 19942517?\nAnswer: 59827551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(-5*sqrt(8))*-3 - sqrt(190)\/((sqrt(1440) - (sqrt(1440) - (sqrt(1440) - sqrt(1440)*-5) - sqrt(1440))) + sqrt(1440)).\nAnswer: 283*sqrt(19)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1410597985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239502, 239506, 239514, 239526?\nAnswer: 239542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 11) to base 9\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1053 - 1.501\nAnswer: -1054.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-5 - (-12 + 2)) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 1235*j - 1237*j - 4*j**2)*(0 + 2*j**2 + 0) + 3*j**4 + 2*j**4 - 4*j**4.\nAnswer: -21*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1643097670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61.34 and 2626.\nAnswer: -161078.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 + 11152848*z**3 - 7774103851200*z**2 - 31096593850624*z = 0. Calculate z.\nAnswer: -4, 0, 1394108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 46*q - 45. Let v be s(-45). Solve 4*z + 12*t - 7*t - 3 = v, 0 = -3*z - 3*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.271 - 1.151. Which is the fourth smallest value? (a) p (b) 1\/4 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(363) + sqrt(363) + 1)**2*-6.\nAnswer: -8808 - 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326615 is divided by 372?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 + 8*p**2 + 82*p. Let a(k) = -k**3 + k. Let j(n) = 6*a(n) - t(n). What is the second derivative of j(z) wrt z?\nAnswer: -6*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from ggfgglznzgfgfg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40615220 or 40615218?\nAnswer: 40615218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 2.32. Let y = -2.273 + c. Round y to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1944660*d**3 + 1518020*d**2?\nAnswer: 11667960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 6. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733553059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 4*y - c, -167 = -y + 2*c + c. Let o = y + -104. Suppose 2*v = o + 25. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 15.6. Which is the second smallest value? (a) 3 (b) -2 (c) 3\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/21 - (-4)\/3. Let i be 3 - 3\/s*25. Let y = -36 - i. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-3)\/9*0. Suppose 4*z = 2*z + f. Suppose z*g = -g + 12. Solve -h - 2*h = 3*u - 3, g*u = -4*h + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20470 and 29815?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 39*m**3 - 10*m**2 - 11*m. Let a(f) = 118*f**3 - 26*f**2 - 32*f. Calculate -3*a(v) + 8*k(v).\nAnswer: -42*v**3 - 2*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(500) + sqrt(500) + 1)**2 - -1*(sqrt(5) + -2*sqrt(5))).\nAnswer: 39*sqrt(5) + 2005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 + (-6)\/(-8). Solve -3*c - 27 = -y*x, 2*c = -4*x + 5 + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.1 (c) 799\/6 (d) -3\/4 (e) -4 (f) -1\/13 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 230656 (base 12) to base 16\nAnswer: 88ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486224523.\nAnswer: 3, 373, 144839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69642443957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 7}. Give prob of sequence suuu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-189)\/105)\/(-6 + (-615)\/(-100)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -548273849.00000065 + 548273867. Let x = -113 - -95. Let f = x + r. Round f to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346a (base 14) in base 6?\nAnswer: 110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88510677 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:25 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66570.7 millennia to centuries.\nAnswer: 665707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 + 1 - d**2 + 5 + 3*d + 10*d**3 - 5. Let o be n(1). Let i be (80 + 0 - 4) + 0 + 1. Calculate the greatest common divisor of o and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 times 41.44\nAnswer: -16576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228200668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.2. Let x = 0.7 - f. What is the closest to 4 in x, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.918691907 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 214319944.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2374.2 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*p - 4362*p = -503014 for p.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2683 divided by -66.\nAnswer: -2683\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 97*s + 74*s + 12*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 2*q - 1. Let o be m(1). Solve 39*t - o = 37*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621392 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.843 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 103. Solve -i = 2*f - 5*l, f + 5*l - 2*l - 19 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10736283.45 to the nearest 100.\nAnswer: -10736300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826678.\nAnswer: 2, 103, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/535 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 17*z - 14. Let r be i(18). Solve -11 = -r*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84066810 to the power of 1\/2, to the nearest integer?\nAnswer: 9169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 66. Let f be h(-6). Find the second derivative of 471*d - 5 - 489*d + 2 + 5 - f*d**2 wrt d.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqmqqmqqqm. Give prob of sequence mqqm.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x**2 + 0 + (5*x - 3*x - x)*(1 - 1 + 2*x) - 4*x**2 + 3*x**2 - 2*x**2 - 306*x**2 - 8143*x + 8143*x.\nAnswer: -308*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339583298 to the power of 1\/2, to the nearest integer?\nAnswer: 36600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 2 + 5*u**4 - 213*u**3 + 213*u**3 in the form o*u**3 + p*u**4 + l*u + w + v*u**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 10*j + 4. Let h = 8 + 2. Let p be l(h). Suppose -4*y + 55 = -5*v, -v - 17 = -p*y + 26. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -t - 3*w, -3*t - 2*w - 3*w = -100. Let v = -33 + t. Factor 4\/7*d + 0 + 2\/7*d**v.\nAnswer: 2*d*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*s**4*y**3 - 51*s**4*y**2 + 228*s**2*y**3 + 170*y**3 wrt s.\nAnswer: 15984*s*y**3 - 1224*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69.7 + -68.7. Put 0.3, f, -6, 5 in descending order.\nAnswer: 5, f, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from bbbobbbbobbbbobbbbbb.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -10\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 371781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/114)\/(81\/54)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**5 - 3*k**3 - 3*k**2 - 3*k. Let n(z) = -2*z**5 - 5*z**3 - 5*z**2 - 7*z. Let y(l) = 3*n(l) - 5*r(l). What is the second derivative of y(j) wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -13386453.\nAnswer: 93705171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/99 - -184\/693. Suppose x*w**2 + 0 - 4\/7*w = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109258 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/586720 and 25\/2432?\nAnswer: 2346880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6050, 6010, 5900, 5684, 5326?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**6\/360 - r**5\/12 - 3*r**4\/8 - 13*r**3\/18 + 29*r**2. Find x, given that s(x) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 - i + 1\/6*i**4 + 1 - 1\/6*i**3. Let w(z) be the first derivative of l(z). Find the second derivative of w(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 35*u - 36.\nAnswer: (u - 36)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 24*j + 114. Let k be o(28). Sort -74, k, 0 in decreasing order.\nAnswer: k, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -60853 and -60854 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-35 - -53) + -25)) + -63\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11421104020 (base 5) in base 16?\nAnswer: cd5578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/6 + 35*q**2\/3 - 539*q\/6 = 0. Calculate q.\nAnswer: -77, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 26.9. What is the nearest to -0.1 in -2, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**2 - 15*y + 9. Let c be m(6). Let a = -66 + c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -40757?\nAnswer: -40752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and 9\/770.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6425 rounded to 2 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546606 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99922 divided by -22?\nAnswer: -49961\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1059 and -34.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + -17 - 43 - 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -66*j**2 + 3093*j + 398. What is u(47)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 + 17, 5*q + 10 = -5*y. Is q less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162234 + -1?\nAnswer: 162233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**5 + b**3 - b**2. Let m(k) = 5*k**3 - 5*k**2 - 7*k. Let x(w) = m(w) - 5*p(w). Find the second derivative of x(l) wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyyyyyyyyyg. Give prob of sequence yyyg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4105755*y**2 - 2660421 wrt y?\nAnswer: -8211510*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d36 + 15?\nAnswer: -3d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -26*k**3 + 4*k**2 - 277*k. Let m(z) = 6*z**3 - z**2 + z. What is a(h) + 4*m(h)?\nAnswer: -2*h**3 - 273*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 50*i\/3 - 475\/6.\nAnswer: -(i - 95)*(i - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olvolsoolllllo. What is prob of sequence vs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1423904241, -1423904239, -1423904237?\nAnswer: -1423904235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-155)\/1240)\/(1*2\/(-16)). Solve -5*a + 19 = -5*s - 21, 2*s + h = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17430*i + 8508*i + 8922*i - 440*i**2.\nAnswer: -440*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(7\/3)*x))))\/x*x*x**1\/x*(x**(3\/2))**24 assuming x is positive.\nAnswer: x**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*a + 1597 = -0*i, 0 = -i - a + 401. What is the remainder when i is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5*(-4)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, 3, -1, -8771, 4 in decreasing order.\nAnswer: 22, 4, 3, -1, -5, -8771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 693767 = -23*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*o + 3*w + 109, -3*o + 12 = 3*w. Solve f + o*p - 30 = 0, -2*f + p + 13 = 19 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 n when three letters picked without replacement from izrjznrzzi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, 5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 64 = 271. What is the remainder when 43 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46440 divided by -9?\nAnswer: -5160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107619 and 113804.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491 + 483. Put -2\/13, o, 0.5 in descending order.\nAnswer: 0.5, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -458, -1155, -2204, -3605, -5358, -7463, -9920?\n\"Answer: -176*i**2 - 169*i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 2*q - 53 - 8*q**2 - 12 + 19 to i + n*q**2 + r*q and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 25, 0.4, -1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let h be n(-4). Let o(v) = 3*v**2 + 3*v - 2. Let b be o(-2). What is the greatest common divisor of b and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - (-63)\/9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lssqslljnusuus. Give prob of picking 1 q, 1 n, and 2 l.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**3 + 42*i**2 + 80*i + 329. What is j(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 19*i + 90. Let g be v(7). Let u = 2 - 4. Let q be 61\/3 + u\/g. Solve -5*x + x + q = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 14*j**2 - 55*j + 67. What is u(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-8\/9)*w)\/w*w\/(w\/(w*w\/w**(-1\/28))*w*w*w*w))**(-1\/24))**48 assuming w is positive.\nAnswer: w**(467\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6896?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -1, 1, -1070, -3.\nAnswer: -1070, -3, -1, -1\/20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/12 - 5\/30. Solve 3*q = -4*k + b, q - 2*q + 5*k + 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4 - (-11 - -15). Let n(h) be the second derivative of h**3\/2 - 5*h**2 - 5*h. Let b be n(x). Solve -2 = y + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -34*(-1)\/9 + 20\/90. Suppose z*q = 4*o - 888, 5*q + 46 = o - 168. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-28)\/(-32)))\/(1*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 5*d**3 + 10*d**2 + 11*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4421384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 5 (b) -0.1 (c) 9515 (d) 0.3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2126074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100122 - -2?\nAnswer: -1100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 - (-10)\/(40\/12). What is the first derivative of 49 - h - 31*i - 28 - 24 wrt i?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/53, -4, -0.2, 36.1.\nAnswer: -4, -0.2, -1\/53, 36.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2888260569 to five decimal places.\nAnswer: -0.28883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6538, 14033, 21528, 29023, 36518?\n\"Answer: 7495*d - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 4. Let i be p(-5). Suppose 0 = -i*b - b + 23630. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1256, 3 in decreasing order.\nAnswer: 1256, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291 and 3.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 4. Let a be f(-10). Let t(u) = u**3 + 5*u**2 + 3*u - 2. Let m be t(-4). Suppose 2*d = m + a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let m(b) = 31*b - 4. Determine -12*f(g) + 3*m(g).\nAnswer: 81*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26502498 divided by -198.\nAnswer: -133851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 1 + 3*m**4 + 2 + 6*m - 6*m + 9*m**4 + (-5*m**2 + 3*m**2 + 6*m**2)*(-4*m**2 + 3*m**2 + 0*m**2).\nAnswer: 7*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 3419\/68 and 51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 - 5. Let v = -1794 + 8999\/5. Let x = v - 97\/15. Which is the second biggest value? (a) 1\/4 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 52750*k + 3400. Let g be x(22). Round g to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q - 6*q. Let a = 304 + -469. Let b = a + 160. Sort b, -7, q in ascending order.\nAnswer: -7, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48957 divided by -8?\nAnswer: -48957\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91) + sqrt(91)*-5 + sqrt(91) + sqrt(91) + sqrt(91))*1 + (sqrt(91) - (-3*sqrt(91)*-2 - sqrt(91))))\/(-3*-1*(sqrt(7) + sqrt(175))*-4).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*i + 47*i - 16*i + 414 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/12 + d**3\/3 - 2*d**2 + 31*d. Let w(v) = -v + 1. What is 2*r(f) - 3*w(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - 43*c + 79. What is the thousands digit of o(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -145055?\nAnswer: -145052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -4606?\nAnswer: 4642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 9 - (3 - 0))*26\/91\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 8952028*n**2\/9 - 10017350664098*n\/9.\nAnswer: -2*n*(n + 2238007)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3527\/10 + -352. Let u(p) be the second derivative of j*p**3 - 3\/5*p**2 + 0 - 1\/4*p**4 + 6*p. Factor u(k).\nAnswer: -3*(k - 1)*(5*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -178*n**5\/15 + 302*n**3\/3 + 680*n**2. Differentiate i(w) wrt w.\nAnswer: -1424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/((i*i**(-2\/7)\/i)\/i*i)*(i**(2\/5))**(-24))\/(((i*i**(-1\/4)*i)\/(i*(i*i**(-6))\/i*i*i))\/(i*i*i**(1\/6)\/i*i*i\/(i*i**(-1\/2))*i)) assuming i is positive.\nAnswer: i**(-1847\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4546968, -9093922, -13640878, -18187836, -22734796, -27281758?\nAnswer: -31828722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 6*b - 365. Let k be i(-19). What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 7) in base 14?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = o + 2, 217*o - 3026 = 518*b - 521*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 86 = 2*b. Let y be 16\/(-96) + 46\/b. Factor 0 + 4\/11*l + 8\/11*l**3 + 10\/11*l**2 + y*l**4.\nAnswer: 2*l*(l + 1)**2*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-815)\/(-4) + 7\/28.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1023 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -54, -174, -386, -720, -1206, -1874, -2754?\nAnswer: -3876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (5 - (7 - (-8 - -9))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + (sqrt(1458) - (sqrt(1458) - ((sqrt(1458) - sqrt(1458)*-2) + sqrt(1458))*2)))\/((sqrt(216)\/sqrt(81))\/sqrt(4)).\nAnswer: 243*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1)\/n**0)\/(n**2\/n)**30 assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - r - 89 = -5*j, -3*j + 131 = -4*r. Let n(a) = 55*a**3 + 45*a**2. Let b(q) = -5*q**3 - 4*q**2. What is j*b(y) + 4*n(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10286078, 10286076, 10286074?\nAnswer: 10286072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - ((2 - 0) + -2). Suppose 3*k + 4*d + 2 = 0, 5*k = -0*d + 2*d + 40. Let n be (48\/(-6))\/((-2)\/k). Calculate the greatest common divisor of y and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 4c3066?\nAnswer: -4c3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 1477.\nAnswer: -10339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 28 + 2*v + 41 - 106.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22924 - 664797\/29. Sort -1\/6, 1, q, -3\/7, -5\/2 in decreasing order.\nAnswer: 1, q, -1\/6, -3\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3 + 9. Suppose 0 = 4*n - 8, 2*n - 3*n - 2 = -2*t. Solve 8 + t = -b*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 35*x**2 + x - 54*x**2 - 5*x**3 + 1 + 25*x**2. Let g(w) = 0*w**2 - 6*w**3 - w**2 + 7*w**3. Calculate -d(q) - 6*g(q).\nAnswer: -q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 76 = 0. Find the second derivative of s*o**2 + 8*o + 7*o**4 - 19*o**2 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toooruoaororoaooojo. Give prob of sequence ajt.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j + 1. Let t(l) = -15*l. Give -3*t(h) + 2*v(h).\nAnswer: 17*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(4\/(-1)))\/((-27)\/(-189)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + a = -26, 11 = b - 3*a - 1. Calculate the smallest common multiple of b and 286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 + 11*y + 28. Give c(10).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let i be (-2)\/((-1)\/(k\/2)). What is the tens digit of 98\/8 + i\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17dd6 - 1a0?\nAnswer: -17f76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 3*y**2 - y + 2. Let d(i) = 21*i**3 - 45*i**2 - 297*i + 1938. Let k(q) = -d(q) + 9*h(q). What is x in k(x) = 0?\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -1478, -3293, -5818, -9053?\nAnswer: -12998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 4*z**3 + z**4 - 4*z**3 + (3*z - 3*z - z)*(4*z**3 + 14*z**3 + 16*z**3).\nAnswer: -33*z**4 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/(k*k**(2\/9)))\/((k*k**(3\/2)*k)\/k**(-4))*(k*k**(-2\/5)\/k)\/k*(k\/(((k**2*k)\/k*k)\/k))\/k*(k**(2\/9)\/k)\/k**1 assuming k is positive.\nAnswer: k**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -163, 35 in decreasing order.\nAnswer: 35, 4, -14, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) -0.2 (c) -2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -371*l**4\/6 + 2*l - 36. Let h(o) = -o. Determine h(m(j)).\nAnswer: 742*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 4, x: 2, b: 5}. Give prob of sequence bmmm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 220, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 3358978.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 598\/(-184)*(-9)\/(-78)*(-4)\/66?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.98 + -1013.6176?\nAnswer: -1075.5976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from uctsuhm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4861 divided by 1\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:59 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - -11. Let d = h - 53.9999969. Round d to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 375992173 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -34792530594.\nAnswer: -34792530593.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39728*a*m**3*z - 5*a*m*z**3 - m**3*z**2 - 2872*m**2*z + 6*z**3 wrt a?\nAnswer: 39728*m**3*z - 5*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(475) + 0))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/9 + 6\/9. What is the greatest common divisor of o and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44133400 - 444?\nAnswer: 44132401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 20. Let r be (-416)\/(-12) + (-4)\/6. Let l = 39 - r. Calculate the remainder when x is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526820 plus -461768693?\nAnswer: -460241873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-12))\/(f**(-10)\/f) assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a**2 - a. Let h be m(1). Solve w + 3*t + 6 = 18, h = 2*t - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**5 - 3*q**5 + 6*q + 4*q wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 31 + 24)*(2*r**4 + r**2 - r**2 + (r**2 + r**2 - 3*r**2)*(-3*r**2 + 3*r**2 - r**2) + 2*r**4 - 4*r**4 + 0*r**4 - 13*r**3 + 13*r**3 - 2*r**4).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -152796 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)\/w**(16\/5))**(-1\/2) assuming w is positive.\nAnswer: w**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 995475\/61260*(-2)\/39.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 10*r**2 + 2*r - 16. Let q be g(10). Let w be 1 - (-1 - 2\/(-1)). Suppose w = -2*f - f + 6. Solve 0 = f*v - v - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 - 4956*r**2 - 132354*r = 0. What is r?\nAnswer: -2451, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132040 - 51215. What are the prime factors of j?\nAnswer: 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 2*o - 936 - 479.\nAnswer: -2*o - 1638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1437 and 1?\nAnswer: 3.1437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183905712, 367811425, 551717138, 735622851, 919528564, 1103434277?\n\"Answer: 183905713*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -n. Let g(c) = 2*c - n + 2*c**2 - 3*c + 4*c. Let y be (-1 - -7) + (0 - (6 + -2)). Calculate g(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -2. Let b = 36391 - 36390.8. What is the fourth smallest value in b, p, 4, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - -14) + (-7)\/(-14)*-76.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19464 divided by 4\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344743 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10359 is divided by 5173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*g**2 - 7*g - 144*g**2 - 61 - 48 + 110.\nAnswer: -224*g**2 - 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 11 - 35. Solve z - u = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n = -30*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126660 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edbbbeebbzdzbbb. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 1. Suppose 5*k - 35 = -0*k. Let y = 8 - k. Let r be q(y). Solve -s + 3*n - 6 = 0, r + 1 = -2*s - 5*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -183.1 and -1.6423.\nAnswer: 300.70513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300661*d**5 + 101706*d?\nAnswer: 6013220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268*c**2 + 51885*c + 32430345.\nAnswer: -536*c + 51885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -456.8558 in -2, 2\/5, 2\/9, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 4 + 4 + 20*k + 27*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/5 - 1652*b**3\/5 - 144794*b**2\/5 + 294552*b\/5 - 148104\/5 = 0.\nAnswer: -726, -102, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4111.36769416808 - -127611846.36769380808. Let s = n + -127607730. Let v = s - 5. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = -3*x, -5*y + 5 = x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2964, -5904, -8844?\nAnswer: -11784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -923\/53286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 439. Determine g(-14).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qugyygaacuaaa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356*s + 2 + 2144*s**2 + 691*s + 0 - 362*s wrt s.\nAnswer: 4288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 307298?\nAnswer: 21818158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8306 - 0.8306. What is the closest to 219 in -1, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 8\/735*r**7 + 0 + 4\/105*r**5 - 1\/42*r**4 - 1\/588*r**8 - 1\/35*r**6 + 0*r**3 + 0*r + 6*r**2. Factor k(l).\nAnswer: -4*l*(l - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*j - 2*n, -10 = 40*j + n - 2. Which is smaller: j or -2\/27869?\nAnswer: -2\/27869","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 274*s - 315*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 65505714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f. Let p(u) be the first derivative of -10*u**3\/3 - 382. Determine o(p(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 2*k - 3*k**3 - 70*k**2 + 65*k**2 to the form b*k + c*k**2 + r*k**3 + p and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:08 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 37. Let q(f) = -f - 19. Determine 3*i(a) - 7*q(a).\nAnswer: a + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-220))\/((-3114)\/(-25950)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b + 2*b. Suppose -4*k = h + 7, k = b*h + 5*k + 10. Let s = 14 - h. Calculate the remainder when 65 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397328 is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039743 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -21\/85?\nAnswer: -21\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -10*l + 258. Let u = l - 23. Is u <= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85.11 - -85. Which is the closest to 2\/3? (a) 0 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:06 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833*o**3 - 40040*o**3 + 752*o - 377*o - 375*o.\nAnswer: -39207*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -727648495 divided by 5?\nAnswer: -145529699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 256, -4, 8 in descending order.\nAnswer: 256, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -27*d + 47*d. Let k = 8 + -9. Let z be d - (k + -2 + -3). Sort z, -1, 1\/2, 5\/4 in decreasing order.\nAnswer: z, 5\/4, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*k = -4581 - 15219 for k.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 2*s - 48 = 0, 8434*s - 8437*s = 3*k - 18 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61, 60, 57, 52?\n\"Answer: -b**2 + 2*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let c be w(-6). What is the common denominator of -53\/8 and (43\/1)\/(-5 - c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nssn when four letters picked without replacement from {s: 3, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 4\/6*3. Suppose -f*d + 8*d = -23400. What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 0 - (-1384 + 1429)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 19. Let u = p - 1. Which is smaller: u or 4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -3)**2 + sqrt(272) + -3.\nAnswer: -14*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(1\/19)*(b\/b**(-2\/31))**(4\/25) assuming b is positive.\nAnswer: b**(958\/14725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 5 - sqrt(19))*2.\nAnswer: 2*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 7) in base 4?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/(1 - (-4)\/(-2)). Let m(u) = u**2 - 17*u - 82. Let v be m(-17). Suppose -359*t - v = -367*t. What is the greatest common factor of s and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 + (4 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11488, 23152, 34812, 46468?\nAnswer: 58120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -334543 - 0.7?\nAnswer: -334543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 59. Let y = -28 - i. Which is the third smallest value? (a) y (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027571 - 2969.\nAnswer: -2969.027571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 162 = 3*k - 2*y, 5*k - 295 = 5*y. Let h be (-6316814)\/k - ((-3)\/4)\/3. What is h rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 149 - 155 = -i, 5*i - 4 = 3*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 197637*w**3 - 592917*w**2 + 592919*w - 197640.\nAnswer: (w - 1)**3*(w + 197640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -3*s - 9, 3*s = -3*w + 39. Suppose w*v - 2*v - 40 = 0. Is 4 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 = 0, -5*z + z + o = -57. Let c(m) = m**2 + 2*m. Let l be c(-3). Suppose -2*s + 202 = 5*v, 0 = v - l*s - z - 24. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-20)\/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4\/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*y**4 - 115*y**5 - 54*y**4 + 70*y**4 - 3*y**5 + 5*y**5 - y**5 + (2*y**4 - 4 + 4)*(-2*y + 5*y - y) - 2*y**5 - 2*y**4 + 2*y**4.\nAnswer: -112*y**5 - 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -13*v**3\/6 - 3*v**2\/2 - 2178*v. Let p(c) = -c - 3 + 3. What is u(p(q))?\nAnswer: 13*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011220 (base 3) in base 4?\nAnswer: 2112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 62*k - 12*k - 107*k.\nAnswer: -160*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*s - 291*s + 48 = 0. What is the greatest common factor of 500 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2647*a*q*z**2 + 2731*a + 2*q*z + z**2 + z wrt z?\nAnswer: -5294*a*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21232 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 2391, 5818, 10595, 16710, 24151, 32906, 42963?\nAnswer: 54310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3135838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 1. Let r(t) = 18*t**3 + t + 4. Let f(h) = -r(h) - 8*w(h). Let x(j) = -j**3 - j + 3. Determine 5*f(g) - 8*x(g).\nAnswer: -2*g**3 + 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 5, 0.4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 54.1.\nAnswer: -54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*n - 50 = 0, n + 2*n - 9 = 0. Let s = j + -26. Suppose s = 7*x - 6*x. Calculate the highest common factor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*r**3 - 3*j*r**2*x**2 - j*r**2*x + 8*j*r**2 - 85*r**3*x**2 + 23*r**3 - 6*r*x**2 wrt r.\nAnswer: 6*j - 510*x**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 12. Let n be c(-9). Let h(y) = -7 - 3*y**2 + y - 2*y**2 + 10 + y**n. Calculate h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332, 106, 435 in increasing order.\nAnswer: 106, 332, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 5 (c) 47 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/72 and 107\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6558 or -5972?\nAnswer: -5972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.0358, -4, 9.4?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 18 + 5 + -10 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38463772.\nAnswer: 2, 269, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/15444 and -92\/44655.\nAnswer: 17683380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13088387*v**2 + 9197928?\nAnswer: -26176774*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 58 + 8 + -33 + -28?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -3. Let g be u\/(9\/(-2))*12. Which is greater: -25 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/435 and 53\/67425.\nAnswer: 67425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**5\/10 - 5*i**4\/2 + 25*i**3 - 125*i**2 + 625*i\/2 + 125. What is b in d(b) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/733 + 2189\/3665. Let j be 3\/2*(-2)\/(-6). Let y = 2999.2 + -2999. Which is the closest to 1? (a) j (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:55 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2493 + 1496. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 6*s + 2. Let u be y(5). Let c be u\/(-4) - 3\/(-6). Suppose 0 = b - 0*n + n - 183, 2*b + c*n = 360. Round b to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -2\/23 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l - 169*l - 100 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263548*x**2 + 262488*x**2 - 523340*x**2)*(-x**3 + 2*x**3 + x**3).\nAnswer: 5392*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/6 + 8*m**3\/3 - 14*m**2 + 24*m = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4059.5 + -4055. What is the fourth smallest value in -0.3, 2, y, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24539 is divided by 2214.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24667 and -5.\nAnswer: 24662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 730158, 1459731, 2189302, 2918871, 3648438?\n\"Answer: -w**2 + 729576*w + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6263609759 - -0.105.\nAnswer: 6263609759.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f**3\/19 + 636*f**2\/19 + 256*f\/19 = 0?\nAnswer: -2\/5, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628059.\nAnswer: 7, 41, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -12*p - 74 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1701?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38*n + 16. Calculate w(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58877, 117757, 176637, 235517, 294397?\n\"Answer: 58880*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*g - 1815 = -1828, -4*d + 6*g - 38 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -179*y - 4637. Calculate f(-26).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p**3 + 4*p - 3*p + 5*p**2 - 5*p**2.\nAnswer: -36*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0.18. Let t = v + -1.8. Which is greater: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 2*s**2 + s + 4. Let k be q(3). Let o be (2 - k\/36)*8. Find x, given that -o - 2\/9*x**2 + 2\/3*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19911\/8 - -2492. Let f be (-9)\/(-21) - 4\/(-7). Find the common denominator of f - (-36)\/16*5 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.252 - -0.052. Sort -4, s, -0.3, -20.\nAnswer: -20, -4, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38645 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-370)\/148)\/((-75)\/10))\/((-21)\/9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1) + 0 + -1. What is the third derivative of 3*b**2 - 3*b**x - 7*b**2 + b**2 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1232?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1339\/7 - -191. Let h = -1 + -6. Let x = -3 - h. What is the nearest to 0.4 in x, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339780 is divided by 3061.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 + 15*g**2 + 7. Let h(d) = -2*d**3 + 5*d**2 + 2. Calculate -7*h(s) + 2*o(s).\nAnswer: 2*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 51 + 66 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3614679643?\nAnswer: 19, 491, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Suppose -2*x + 4*p = 0, -3 - 15 = -4*x - p. Let u be r(x). Let c = 4 - u. Solve -2*m - c = -6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-9)*(-5)\/(-25). Which is the biggest value? (a) 3 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 286 + -277\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:03 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1382?\nAnswer: 5528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/(1\/(-5)). Let j = -390 + 388. Calculate the common denominator of u + (j - (-310)\/12) and 68\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-13)*l*l\/(l**11*l)*(l*l\/(l\/(l**4\/l))*l*l)**(-15\/4) assuming l is positive.\nAnswer: l**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 8}. What is prob of sequence bb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7391495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o - 102. Determine j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -3*v + 6, 0 = 3*q - 15. Let m be 2 + (v - (-1 - -3)). Let j be 45\/675 + 8\/(-30). What is the second smallest value in m, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 - 145\/(-146). Let o = 301\/1314 + s. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 151 (b) 0.3 (c) -4 (d) 2 (e) 1634 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 20*c**2 + 3*c - 1. Let f be (-11)\/(-2 + 10\/4). Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from paoauo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (0 - 241)) + -5 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -52. Let x be (-3 - 1)*(-4 - (-161)\/p). Factor -x*r - 2\/9*r**2 - 4\/9.\nAnswer: -2*(r + 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514a74a (base 12) to base 11\nAnswer: 8697138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 443*k**6\/120 - k**5\/12 + k**3 - 91*k**2. Find the third derivative of r(u) wrt u.\nAnswer: 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 79*l**4\/12 - l**3\/6 - l**2. Suppose -5*v + 4 + 1 = 0. Is h(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*a - 136*a + 5*k = 4, 0 = -a + 2*k + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(2428 - 5671 + 2715)*(-10*x + 10*x - 5*x**2) - 3*x**2 - x + x in the form v*x**2 + p*x + o and give v.\nAnswer: 2637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = 9*k - 4*k, 0 = -3*k - 2*v - 14. Is -4 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 6*v + 2*v**2 - 3*v + v**3 - 3*v to the form c*v**3 + h*v + z + f*v**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7629728.000007 - 7629713. Let d = -15 + c. Round d to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/13, 2, 5.67 in descending order.\nAnswer: 5.67, 2, 2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 0*c**2 - 2 - c**2 + 2*c. Let y be b(7). Let j = 26 + y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192aa4 (base 15) in base 16?\nAnswer: 12adda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8449828 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**10\/75600 - h**9\/15120 + h**7\/1260 + h**6\/360 - h**5\/12 + 4*h**2. Let g(p) be the third derivative of z(p). Factor g(y).\nAnswer: -2*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124546 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*c**3 - 8875*a*c**2 + 7*a*c - 6*c**3 - 4*c**2 - 336881*c wrt c.\nAnswer: 12*a*c - 17750*a - 36*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 239855145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 40.45. Let o = 1.05 - x. Round o to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 236, 383?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-18)\/(-27))\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 - 4 = 0, 0 = -2*g - 3*u + 9. Solve -4*x + 5 = -g*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-14))\/(l*(((l*l**(5\/3)*l)\/l)\/l)\/l))\/(l*l**(3\/7))**(7\/3) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, 0 = -4*y + 2*x + 15 + 9. Let s = 25 - -16. Suppose -s*c + 8 = -37*c. Solve 0 = 2*w + y - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11333, 22664, 33995, 45326, 56657, 67988?\n\"Answer: 11331*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*r - 6, -2 = 2*n - 0*r - r. Suppose n*t + 52 = -4*t. Is -14 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m - 7. Let b(t) = 2*t**2 - 4*t - 1. Suppose 0 = 2*v - 6 - 0. Let o be b(v). Let n(y) = 6*y - 5. Calculate o*w(h) - 7*n(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/(6966\/1350 - 5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.424169431 rounded to four decimal places?\nAnswer: -0.4242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/21*(-11)\/((-264)\/(-36))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) - 120\/(-66). Let s be 14\/4 + 1\/y. Suppose -14*r - 33 = -103. Solve -5*g + s*g + 5 = 3*d, -d - r*g = 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4156009, 8312008, 12468007?\n\"Answer: 4155999*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -120, 2, 3 in descending order.\nAnswer: 3, 2, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/119 + (-9)\/153. Sort a, 3, 2, 133.\nAnswer: a, 2, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772 divided by 557.\nAnswer: -772\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2465 divided by 3\nAnswer: 2465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 11*t + 93900000. What is t rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184 = -9*y + 17*y. Let o be (8 + y\/(-14))\/(3\/(-28)). Suppose 131*l - 128*l - o = 0. Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/9 + 74716*l\/3 - 697810082 = 0.\nAnswer: 56037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1047 - 3*o**2 - 1066 + 33*o + 2041.\nAnswer: -3*(o - 8)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 361?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653440058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 1\/3*v**3 - 2 + 2*v - 1\/2*v**2. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1323*j**2 - 997838100*j - 188148313267500.\nAnswer: -3*(21*j + 7919350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116 + -313?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 1. Let l(p) = 2*p**3 + 5*p**2 + 4. Give -4*c(r) - l(r).\nAnswer: 2*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93\/13 + -2060\/39. Which is bigger: o or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -170*k + 174*k + 4 - 3. Suppose -27*v + 29*v = 144. Let w = v + -75. Let l(p) = 4*p + 1. What is w*r(o) + 4*l(o)?\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2383 is divided by 2378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2006823 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 57*b - 60. Let g be a(-30). Let u be (6\/(-4))\/((-3)\/36). Calculate the remainder when 82 is divided by g\/27 + 4\/u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l**(2\/15)))*l\/(l\/(l**19*l))*(l*l*(l*l**13)\/l)\/(l\/l**11) assuming l is positive.\nAnswer: l**(692\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*h = -4*w - 461, 366 = -3*w + 3*h. Let a = 172 + w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:00 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 11 + v**2 + 2*v - 3 - 14. Let b be f(2). Solve 5*g - 2*g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484 and 36292256.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 29*a**3 - a**2 + a. Let p be c(1). Let r = p + -9. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17416*h = -c + 17419*h + 35, -c + 45 = -5*h for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*-2)\/sqrt(10) - (sqrt(48) + (sqrt(336) + (sqrt(336) - sqrt(336)*-3) + sqrt(336) + sqrt(336))\/sqrt(7)))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -280 in 6.16, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 4.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 13 (b) -6 (c) -1 (d) 678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = -160. Suppose 2*p + 5*k = -37, p + p + y = -4*k. Let m(l) = -l - 3. Let u(s) = 4*s - 2*s + 2 + 3. Give p*u(i) - 11*m(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(225) - 2*sqrt(225)) + sqrt(225))*-6)\/(-4*sqrt(5)*-2))\/((sqrt(9) - 3*sqrt(36)) + sqrt(9) - (sqrt(9) + (sqrt(27) + sqrt(675))\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-5) + (-12998)\/21630. Let x be (-2095403)\/588336 - (-4)\/1. Let t = a + x. What is the common denominator of 83\/6 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293000, 1293061, 1293162, 1293303, 1293484?\nAnswer: 1293705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((46 + -1)\/(9000\/720))\/((-8)\/(-10)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 12. Let t(v) = -v - 13. Let x(h) = 7*m(h) - 6*t(h). Let o = -1 - 5. Let s be x(o). Solve -5*l + 5*u + 20 = s, 5*l - u = u + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.3 + 13. Let f = s - -3. What is the smallest value in -5, f, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/6*(-60)\/(-25). Suppose 1 = -h + j. Suppose 3*a - h*a - 50 = -2*w, 0 = -w - 4*a + 31. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51745, -103535, -155297, -207031, -258737, -310415, -362065?\nAnswer: -413687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7899 + -0.8209115. Let q = -0.471 + 0.44. Let g = q - j. Round g to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15328 divided by 3438\nAnswer: 7664\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12581253 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477619?\nAnswer: 477619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1289780815 - 174602\nAnswer: -1289955417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by -1477?\nAnswer: 62\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 927355.6ug in tonnes?\nAnswer: 0.0000009273556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*3 + 4)**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134 - 29932\/224) + 1\/((-8)\/139).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 0, -2, 5, -1, -1376 in ascending order.\nAnswer: -1376, -7, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 289*u**2 - 7*u + 2. Let x(i) = 96*i**2 - 2*i + 1. Let f(n) = -2*b(n) + 7*x(n). Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 548*q.\nAnswer: 2*q*(q + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -3583641?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c - 2. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z - 1)*(-2*z + 0*z + 0*z) + (0*z**2 - 2*z**2 - 3*z**2)*((-1 + 1 + 2)*(3 + 1 - 2) + (-1 - 1 + 1)*(-3 + 1 + 0) - 56 + 39 - 65).\nAnswer: 378*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 6. Let w = -11 - -15. Let m be x(w). Solve 4*z + 2 + 10 = -p, -m*z - 3*p - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4.7, 1\/7, -345.\nAnswer: -345, 1\/7, 4.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6925402 and -35\/20776206.\nAnswer: 20776206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/72 and -151\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 5. Let o(n) be the first derivative of 53*n**2\/2 - n - 1469. Give o(z(m)).\nAnswer: 212*m + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 2, k: 4, i: 2, u: 1, j: 3}. What is prob of sequence kjr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2269 - 4670. What is o rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 5 - 5)*(0*w - w + 3*w)*(3*w + 0*w - w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:20 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 9*i - 25. Let m(k) = -k + 3. Let p be m(15). Let h be 12\/(p\/4) + -9. List the prime factors of b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 1) - 8\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*85\/136\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(27\/24 - 1). Which is the fourth smallest value? (a) 4 (b) 0.4 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 - 9*t**2 - 8*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205215 divided by 4?\nAnswer: 2205215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + 5. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 + 0?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797536 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14908\/6 - 1\/(-3). Let k be (8806\/b)\/(176\/410). Let j = -4\/781 + k. What is the common denominator of 67\/6 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 203*v**2 - 4456*v + 4060. Calculate q(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 8042678.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Let r be 344\/12 + b\/(-6). Suppose 0*l = -l + 42. What is the greatest common divisor of l and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 4. Let w be m(-8). Let k = w + 33. Suppose 4*x = 16, -5*x + 56 = 3*j - j. What is the highest common factor of j and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/7 - 68*p\/7 - 304\/7 = 0 for p.\nAnswer: -4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9396290 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v. Let z(w) = -18765*w - 6. Calculate b(z(h)).\nAnswer: 150120*h + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/7, -2\/31 in descending order.\nAnswer: -2\/31, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*z**2 - 383 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, 2\/7, 4, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/99 + ((-1494)\/(-81) - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3022122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16379, -91682, -217187, -392894, -618803, -894914?\nAnswer: -1221227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 3536\nAnswer: 3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.52 + -0.12. Let o(r) be the first derivative of r**4\/2 - 2*r**3\/3 - 3*r**2\/2 + 3*r + 1. Let t be o(2). What is the third biggest value in i, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 4*f, -2 = -b + 3*f - 10. Let p(w) = 64*w + 27. What are the prime factors of p(b)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -384*w. Let h be m(1). Let s be (h\/(-18))\/((-4)\/(-162)). Let b be (125\/1)\/(2\/s). What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7*m = -36. List 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 3596, 3594, 3592, 3590, 3588?\nAnswer: 3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -8, 10, 60, 154?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*i - 3*i - 2*x, 2*i = -x + 5. Let w(u) = 5 + 0 - i - 3*u - 4. Give w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -18\/11 (c) 31\/5 (d) -4 (e) -0.03 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f + 2992 = 68*f - 10*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:10 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*88335909\nAnswer: 17667181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -90)\/2*9. Let t = p - 361. Solve -8*j + t = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0799447 + -908191353.\nAnswer: -908191352.9200553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 472740258 * 2.\nAnswer: 945480516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -58*l**2 + 69*l - 67. Let z(s) = 355*s - 206. Let q(o) = -11*x(o) - 4*z(o). What is the derivative of q(v) wrt v?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -1\/4, 242362, 0.06?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104270, -208527, -312782, -417035, -521286, -625535, -729782?\nAnswer: -834027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007841784 rounded to six dps?\nAnswer: -0.007842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -51. Let o = -422 + 410. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) -0.3 (c) -21 (d) -2\/15 (e) -2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 1. Let o be m(1). Suppose 3*p + 0*g = o*g - 3, 0 = 3*g - 9. Let v(f) = 26 - 29 - p*f + f. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1011912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 0*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**1)))\/a**(4\/9)*a**(2\/3)*a*a**(-5\/3))\/(((a**(-3\/4)\/a)\/a*a*a**(-3\/11))\/(a**(-3\/8)\/(a*(a*a*a**(-2\/3)*a)\/a*a*a))) assuming a is positive.\nAnswer: a**(-895\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - 3*b**2)*(b - 2*b + 0*b)*(5 - 130 - 6).\nAnswer: -393*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1287)\/(-7293))\/(3\/(-4))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 5*p + 2. Let n be l(3). Let y = 2 + n. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.2, -2\/11, 2111.3 in decreasing order.\nAnswer: 2111.3, -2\/11, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 202*o. Let t be r(0). Let f = 1\/26 + -20\/13. Sort t, f, 2\/3, 3\/5 in descending order.\nAnswer: 2\/3, 3\/5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22912423 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {w: 5, i: 1, f: 1, p: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320 + 80. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 0.2 (b) 0.1 (c) 0.03 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 325, 455, 585, 715, 845, 975?\n\"Answer: 130*a + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1956 and 75\/1917424.\nAnswer: 937620336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by 66?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -3*t**2\/2 + 3*t + 4. Let b(g) = 1. Calculate -3*b(v) + n(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 135*j**2 - 279*j**2 + 5 + 146*j**2 - 5. Let r(u) = 2*u - 440. What is r(k(m))?\nAnswer: 4*m**2 - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -701\/7. Let o = -1.9 - -2. Let u = -1.164 + 0.864. Which is the smallest value? (a) z (b) o (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2348666, -4697332, -7046002, -9394676, -11743354, -14092036, -16440722?\nAnswer: -18789412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843491.\nAnswer: 11, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1698 = 2*r - 4*j, 0 = 2*r - 3*j - 1900 + 206. What is the highest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96353 (base 11) in base 15?\nAnswer: 2b801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202756787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 342924, 342900, 342876, 342852?\n\"Answer: -24*o + 342948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 78*o - 8490. Give i(109).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from {k: 2, s: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:25 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -708\/5 + 142. Let s = 25 + -25.4. Which is the nearest to m? (a) s (b) -0.1 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-360)\/16)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1103232103?\nAnswer: -1103232111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 2811, 7212, 13385, 21336, 31071, 42596?\nAnswer: 55917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -41) + -53 + -25 + -1 - -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10516*j**2 - 21022*j**2 + 0*j + 0*j + 10512*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 9. Let x = -4 - -8. Let l be y(x). Suppose -2*u + l = -7. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**4 - 2*u**3 - u**2 - 3*u. Let l(g) = -10*g**3 + 3*g**2 + 12*g + 934. Let i(r) = -l(r) - 4*m(r). What is the third derivative of i(v) wrt v?\nAnswer: 288*v + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - 18.4\nAnswer: -80.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by -7.\nAnswer: 131\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 2\/7 (c) -5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 194.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 + 2*f - 2. Let c be i(6). What is the remainder when (3\/(-6))\/(1\/c) is divided by 10*1 - 2\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 28 = 3*s. Suppose s*r + 8*r = 120. Solve 42 = 6*h + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158\/5, 0.3, -4 in ascending order.\nAnswer: -4, 0.3, 158\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (2 + -4 - (14 + (17 - 31) + 7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w - 6394627 + 6390198 = 0 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 88? (a) -1\/7 (b) -3\/8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17125 + -2480. What is o rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 201579928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46061.\nAnswer: 46061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + -1*sqrt(27) - sqrt(2187)*2)**2.\nAnswer: -228*sqrt(3) + 9753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46506186.\nAnswer: 2, 3, 17, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 1) + (85 - (-20 - (-15 - 39)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.256 to zero decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*b - 4. Let q(z) = z**3 - 3*z**2 - 2*z - 5. Let n be q(4). Find the second derivative of g - 3*g**4 - g**b + n*g**4 wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*z = 5*z + 624, 3*s - z = 1872. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54963 by 9.\nAnswer: -6107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -32*t. Let n(w) = -63*w. Let c(h) = 3*n(h) - 7*x(h). Let s(a) = -a**2. Determine c(s(l)).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 363555302 and -0.3?\nAnswer: 363555302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 479606, 1918677, 4317128, 7674959, 11992170, 17268761?\n\"Answer: 479690*a**2 + a - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let r(k) = -4*k + 4. Let f(p) = 6*l(p) - r(p). Let m(d) = d + 1. Calculate -f(a) - m(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q**2 + 10*q**2 - q**2)*(-13 + 6*q + 13 + 2*q - 5*q + 2*q + (3 - 4 - 1)*(-2*q + 4*q - 4*q)) as t*q + p + o*q**3 + v*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1547694 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2311 + 2312. Let o(z) = -9*z**3 - z**2 - 4*z + 3. Calculate o(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*v = -8, 0 = 5*d + 6*v - 4*v + 12. Let u be (d + (2 - -1))*3. What is the greatest common divisor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1708?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 200*z**4\/11 + 6110*z**3\/11 + 3292*z**2\/11 - 248*z\/11 - 240\/11 = 0.\nAnswer: -30, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 7*t**2 + 4*t**5 + (31*t + 379*t**3 + 478*t**3 - 13*t - 18*t)*(-2*t**2 - 4*t**2 + 5*t**2).\nAnswer: -853*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380931.\nAnswer: 3, 19, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 9\/34 (b) -5 (c) 2\/9 (d) -4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2442 + 3?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187602228.\nAnswer: 2, 3, 11, 473743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:28 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1703 + -28941\/17. Is 0 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458741?\nAnswer: 83, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:34 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.693488ml in litres?\nAnswer: 0.004693488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 5 = -w - 17*u + 16*u. Suppose 4*j = 5*y + 2*j - 19, 3*y - 27 = -4*j. Suppose 4*o = 3*o + 1. Put o, y, w in decreasing order.\nAnswer: y, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 38*p + 93. What is the units digit of n(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34535, -34543, -34561, -34595, -34651, -34735?\n\"Answer: -d**3 + d**2 - 4*d - 34531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4. Let m be r(0). Let c be m\/(-30) - 2\/10. Let q = 204\/515 - -2\/515. Put 3, q, c in increasing order.\nAnswer: c, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7960, 1, -5 in descending order.\nAnswer: 7960, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3209073, 3209074, 3209075, 3209076?\n\"Answer: s + 3209072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1336 and -0.1.\nAnswer: -0.2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141138845 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 561082390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let u(z) = -16*z**2 - 4*z + 16. What is u(r(b))?\nAnswer: -144*b**2 - 12*b + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247.7 + -237. Let n = z + 13.3. Let s be (-12)\/68*2\/3. Which is the nearest to 0? (a) -0.3 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1591?\nAnswer: -159.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14040)\/105)\/(-2 - 145947\/(-72975)). Round s to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -839, -2971, -7121, -13961, -24163, -38399, -57341?\nAnswer: -81661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppp. Give prob of sequence ypp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, h: 3}. Give prob of picking 4 o.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -p. Let t = -2 + -4. Let v be (-10)\/t - 2\/(-6). Solve -u - u + w = -v, 0 = w + p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550 (base 13) in base 2?\nAnswer: 110000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1278*d - 1272*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 1\/5*k**6 - 5\/8*k**4 + 0*k + k**3 + 0 + 3*k**2 - 3\/20*k**5 + 2\/35*k**7. Suppose v(o) = 0. Calculate o.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -64. Let r(m) = -2*m + 3. Let n(q) be the third derivative of -q**4\/8 + 5*q**3\/6 - 20*q**2. Give i*n(j) - 5*r(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -171656.018 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 40*m - 13. Let y(n) = -21*n + 7. Let v(t) = 6*f(t) + 11*y(t). Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let a(d) = 3*d**2 - 2 + k*d**3 + 2*d + 2*d**2 - 3*d**3 - d. List the prime factors of a(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16151.\nAnswer: 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*o - 12, -3*s + 1 = -2*o - 2*o. Suppose 0 = 5*z + 4*f - 18501, -42*f = -s*z - 47*f + 11111. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -319058 equal to -319051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-2)\/12). Let m be 4*1*6\/12. Put m, 1, r in descending order.\nAnswer: m, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.4, -4, -3, 4 in descending order.\nAnswer: 4, 0.4, -2\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23*i**2 - i. Let w be l(1). Let r = w - -53. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p + 1. Let q(h) = -7*h**2 + 6*h + 5. Let s(d) = -5*j(d) + q(d). Determine s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 - 2*d**2 + 1. Let r be w(-1). Suppose -2*g = -r*g + 8. What is the smallest common multiple of 3 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/(2\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13144\/5, 0.3, 1?\nAnswer: 13144\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-884)\/(-102))\/(644\/(-63) + 10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86134098 at least -86134097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -1)*(-2 + 3). Find the second derivative of -p**3 + r*p - 23*p - 5*p + 31*p**3 wrt p.\nAnswer: 180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3471258 micrometers to centimeters.\nAnswer: 0.00003471258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l - 5. Let t be w(0). Let z be 5 + (0 - -2) + t. Suppose 7*b - z*b - 540 = 0. Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + 2*s. Let x(k) = -7*k**2. What is l(x(v))?\nAnswer: 294*v**4 - 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhah when four letters picked without replacement from hhhhaahhha?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 643507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19 + 121*i**3 - 70*i**3 - 86*i**3 with respect to i.\nAnswer: -105*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.01 (b) -2\/7 (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -1*19\/(-1). Let f(d) = d**3 + 34*d**2 + 33*d - 18. Let z be f(-33). Let x = z - m. Let o(b) = b**2 - 2*b + 3. Give o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(900) + sqrt(900))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2. Let y(a) = a. Let b = 46 - 22. Let v(n) = 4*n**2 - 24*n. Let j(p) = b*y(p) + v(p). What is j(k(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101010001100000 (base 2) to base 3.\nAnswer: -102002022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -159, -237, -317, -399, -483, -569?\n\"Answer: -y**2 - 73*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 17 (b) 42.749 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*c = -12*k - k - 188, -1 + 11 = -4*c - k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -557*b + 455. Is n(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + 2 - 1 - 2 + (-4 - 1 + 6)*(1 + 2 - 2))*(0*q + 8*q + 4*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y**2 - 4*y + 2. Let x(m) = m**2 + 4. Let t = 8 + -8. Let p be x(t). Calculate the remainder when 3 is divided by b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -7 + 2\/15*u**3 - 12\/5*u + 1\/5*u**2. Let i(l) = 0. Calculate l.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2, 176, -11, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 s when three letters picked without replacement from {z: 8, s: 6, x: 1, f: 1, k: 4}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 998 - 2319 - 7*z + 1003 + 996 - 678.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*o - 13534 = 1262 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6856.3 + 5744. What is k rounded to the nearest ten?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -133376, -266729, -400080, -533429, -666776, -800121, -933464?\n\"Answer: l**2 - 133356*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 m when three letters picked without replacement from {l: 1, k: 2, m: 1, e: 1, j: 2, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292.1 - -292. Let u = -0.004 + 2.004. Which is the closest to n? (a) 0.1 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34978 divided by -183?\nAnswer: 34978\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4560 - -4559.9. Which is the second smallest value? (a) x (b) -4 (c) -66\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - (3 + -1 + -3). Let u = c + 8. Factor 11 + 3*j**3 + 15*j + 5 - 22 - 12*j**u.\nAnswer: 3*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5775\/23 + 251. What is the closest to 0 in l, -0.4, -1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.041 - -0.0410039. Round q to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 374782259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 + 14. Determine w(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -60. What is the highest common divisor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a + 10709?\nAnswer: 10828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, -1001, -1040, -1079, -1118?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1673 divide 11295165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-14) + (-2)\/(-7). Let r(y) = -52*y + 8. Let l be r(2). Let h = l - -98. Solve -h*p = -k + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 53. Suppose -f*t = t + t. Is 2\/43 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*v + 272 = 251*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/3856 and -117\/160.\nAnswer: 38560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300934 is divided by 50150?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16134, -32262, -48388, -64512?\nAnswer: -80634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*(-3)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*l - 601 - 301. Solve 5*m - 2 + l = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 3*n - 44. Give t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + l)*(7 + 2 + 4)*(-2 + 14 - 1).\nAnswer: -143*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4169410398.\nAnswer: 2, 3, 5231, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(((-1 + sqrt(176) + sqrt(176))**2 - sqrt(176)) + -4 + sqrt(176)).\nAnswer: -3508 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13969335*d. Let o(s) = -s**2. Calculate x(o(j)).\nAnswer: 13969335*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 413, 506, 625, 764?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 10*h + 10. Let t be k(4). Suppose 0 = 3*z - 0*z - t*a + 8, -16 = 4*z - 4*a. Solve -3*r - 5 = 4*v, r - 15 = -z*v + 2*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/4 + 6\/3. Let s(l) = -6*l - 2. Let c be s(-6). What is the tens digit of (y - (3 + 1)) + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-10))\/((-27)\/945). Let w(m) = -m**2 - 8*m. Let k(b) = -2*b**2 - 9*b. Let c be 81\/(-15) - (0 - 6\/(-10)). Give c*k(f) + i*w(f).\nAnswer: 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 20, -3*u + 2*l = -619 - 1834. Suppose 15*g - 3920 = -u. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -838.2 + 836.2. What is the fourth biggest value in -2\/7, -1.3, -3\/8, 1, f?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/197 and 51832 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/195375 + 6251974\/2539875. Suppose -36\/13*c**2 + 12\/13 - x*c**3 + 24\/13*c**4 + 10\/13*c**5 + 22\/13*c = 0. What is c?\nAnswer: -3, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380430 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691260, -2691266, -2691272, -2691278, -2691284?\nAnswer: -2691290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n + 140 + 293 = 73 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9992 (b) -58 (c) -10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 144*k**3 - 260*k**2 - 56*k = 0. What is k?\nAnswer: -7\/36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3195 + -1338. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -262*p - 1355. Determine r(-6).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (25 - 11)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 161 (b) -1 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and -61\/18924?\nAnswer: 18924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 23*j**2 - 19*j - 77. List the prime factors of r(-8).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5 - 1946*p**4 + 636000*p**3 - 70297600*p**2 - 180224000*p + 110100480000 = 0.\nAnswer: -35, 48, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**3 - 3*t - 12. Let x(f) = f**3 - f - 1. Let q(a) = -w(a) + 3*x(a). What is the first derivative of q(v) wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -5*i, -4*j - 4 = 3*i + i. Let a be i\/(7 - 3) + -12. Let s = a + 13. What is the greatest common divisor of 20 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.075 less than -219338688?\nAnswer: -219338683.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 38*c**2 - 21.\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 4\/3*h**3 - 5*h**2 + 1\/24*h**4 + 0*h + 0. Determine l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 55.353?\nAnswer: 1549.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -4, 23, 2, -84, -1 in decreasing order.\nAnswer: 23, 2, -1, -4, -84, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/6)\/(850\/(-204)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*t + 60 = 0, 5*t + 20 = -0*x + 2*x. Suppose 0 = -4*c + x, 0*m - 3*c + 63 = 2*m. What is the highest common factor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4169\/34 - 245\/2. Let u = -2.7 - -2.3. Sort q, u, -1 in decreasing order.\nAnswer: q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -802 or -805?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*r - 269, -r + 5*r - 2*z - 562 = 0. What is the smallest common multiple of r and 18?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -6*y**2 + 26*y - 3433. What is u(-9)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/156 and -23\/3692.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13132 + 12864216.\nAnswer: 12877348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((sqrt(1216) + 0 + sqrt(1216))**2 + -1 - (-3 + (sqrt(931) + 1)**2))*-4).\nAnswer: -31472 + 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -49801*i + 5. Let l be r(5). Round l to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((11\/(-30))\/(-11))\/((-16)\/64)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 32 + 28. Is ((-435)\/x)\/((-9)\/(-24)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7954, -15873, -23808, -31765, -39750, -47769?\n\"Answer: -o**3 - 2*o**2 - 7906*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 4001?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2415 = -14*g - 2471 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-21))\/((-10)\/(-6)). What is the third smallest value in j, -3\/5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2259328781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 6*s + 7. Let m be k(-5). Solve m*d - 3*d - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l - 213*l**2 - 6*l**5 + 213*l**2 wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 247*t**3\/6 - 177*t - 9. Let d(m) = -6*m. What is d(r(u))?\nAnswer: -1482*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 - 59940*f**2 + 839628*f - 2399280 = 0.\nAnswer: -19994, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220966 - 222622 = 9*u + 60*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 255657 (base 10) to base 12\nAnswer: 103b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1803238132 to the nearest integer?\nAnswer: 42465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8511660091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 29 = -29. Suppose 1896 = 5*m - p + c*p, m = -5*p + 384. Is m a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 598*a*q**3 - a*q**2 - 97*a + 3*q**3 + 367*q**2 + 2*q wrt a.\nAnswer: 598*q**3 - q**2 - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-7) + 2\/(-21)*-6. Let g be (-4)\/(3 + t) - -4. Find h such that -8*h - 16\/3 - 1\/3*h**3 - 3*h**g = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 9. Let m be i(-7). Suppose m*k = 137 + 11. Calculate the lowest common multiple of 20 and k.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346628 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -5\/23, -2\/7, 2, 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0.2, 0.07.\nAnswer: 0.07, 0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 801762508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16388073*q**2 - 14755065?\nAnswer: 32776146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 + 92*n**3 + 343776*n**2 - 4131792*n + 12400128 = 0 for n.\nAnswer: -288, 6, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 177*m + 2. Let f(u) = -356*u - 5. Calculate 4*f(g) + 9*l(g).\nAnswer: 169*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -314 - -317. Find the second derivative of 137*a - 20*a**d + 23*a**3 + a**2 - 32*a wrt a.\nAnswer: 18*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -8*i - 63. Let x(n) = n**3 + 10*n**2 + 6*n - 5. Calculate the remainder when 63 is divided by x(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/3, -11, 2, -253?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 28, 42, 56, 70, 84?\n\"Answer: 14*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2959.9354 - -1.\nAnswer: -2958.9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppcppapppcpirprp. Give prob of sequence rcr.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04376 and 38.\nAnswer: 1.66288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 + -20 - (0 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379721071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)*(2 - 1). Suppose h = m + 3. Suppose -3*g - 5 = -23. Calculate the least common multiple of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 17. Let c = 15 - d. What is the third derivative of -7*h**6 + 5*h**3 - 5*h**3 - c*h**2 wrt h?\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2651206379 to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 5 + 0 + 0. Suppose 0 = -l*c + 4 - 32. Let f(r) = -4*r**2 + 5 + 0 + 2*r**2 - 1 - 2*r. Give f(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/6 - z**2\/2 + 61*z. Give g(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48141 is divided by 3434.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*(-10)\/(-75)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1187 + -884. What is the lowest common multiple of 39 and l?\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 612.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s + z + 28, 5*z + 14 = -4*s. Suppose 0 = 45*d - 70*d + 34*d - 27. Put 5, s, d in increasing order.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 6390.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*f - 6. Solve f*q - 8 = 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.7. Let f = 7.22 - -0.28. Let q = 8 - f. Which is the closest to -5? (a) q (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 319*x**2. Let l(a) = -a**2 - 2238. Give l(g(c)).\nAnswer: -101761*c**4 - 2238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007736152 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*n - 464 + 642 + 994 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**3*p*x**2*z**2 + 10*l**3*p*x*z - 2*l**3*x*z + l**2*z + 27*l*x**2*z + 3*x**2*z**2 wrt p?\nAnswer: 2*l**3*x**2*z**2 + 10*l**3*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -999*a**2 - 1657.\nAnswer: -1998*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, -36.\nAnswer: -36, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let f(j) = 1077 - 22*j + 14*j + 1381 + 10*j. Calculate r(f(y)).\nAnswer: 4*y**2 + 9832*y + 6041764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 5*w + 0*w)*(0 + 1 + 1)*(-4 + 5 - 4 + (-5 + 4 + 3)*(-2 + 2 - 2) + 2 - 4 - 5)*(-7*w - 8*w + 2*w) to q*w**2 + s + u*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -122?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81285, -81467, -81975, -82977, -84641?\n\"Answer: -28*g**3 + 5*g**2 - g - 81261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 74172*w + 105666736.\nAnswer: 2*(w - 35602)*(w - 1484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47555 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-16))\/((-276)\/(-1104)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**4\/12 - x**2. Let i(o) be the third derivative of 7*o**5\/12 + 10*o**2 - 1051. Give b(i(z)).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Suppose -r*v - 235 = -5*f - 53, -3*f - v + 98 = 0. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78701*q + 78701*q + 2022*q**2 in the form b*q + y + h*q**2 and give h.\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:16 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/195)\/(8622\/(-71850))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**0\/(b**(-1)\/(b*b**(-2\/21))))\/(b**1\/(b**(-1\/2)\/b))**(-14\/3) assuming b is positive.\nAnswer: b**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 12 = -5*m, -2*k = 2*m + 180 - 164 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s - 26*s**5 - 12*s + 30*s**5 wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101110 - 1?\nAnswer: -101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 = 5*t. Solve 2*y = -2*z, t*y - 2*y = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r. Suppose 0 = h - r*h - 3*z - 20, -z = 4*h - 15. Are h and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006327 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 5, -0.22, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665487.044 rounded to the nearest 1000?\nAnswer: 1665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19611667\/8 < 2451459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 209, 207, 207, 209, 213?\n\"Answer: j**2 - 5*j + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u - 25. Suppose s - 5 - u = 0. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(360\/16))\/(2\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20\/7 (b) 2 (c) -3\/2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6) + 4 - 4)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744960837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 32000?\nAnswer: 32014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 32*g + 45258 - 45258 + 3*g**2. Let t(m) = -1 + 1 + m. Calculate t(h(x)).\nAnswer: 3*x**2 + 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q**5 + 17*q**3 - 51*q + 17. Let u(v) = 4*v**5 - 6*v**3 + 17*v - 6. Let r(p) = 6*s(p) + 17*u(p). Find the second derivative of r(n) wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.16 and -21006166.42331.\nAnswer: -21006166.58331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64756 or -64757?\nAnswer: -64756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2144 + 551?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 2*o**2 + 7*o - 1. Let u be k(3). What is the highest common factor of 364 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(-5*-2*sqrt(300)*-3 + -4*((sqrt(300) + 4*1*sqrt(300) - sqrt(300)) + sqrt(300)) + 0 + 5))**2.\nAnswer: -1125000*sqrt(3) + 168755625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -2*u**6\/3 + 98*u**5\/5 + 30*u**2 - 2*u - 1879. What is the second derivative of c(r) wrt r?\nAnswer: -80*r**3 + 1176*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p - 4. Let l(u) = -u + 1. Calculate d(k) + 5*l(k).\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 5*l - 406 = 15*h, l = -h + 354. Suppose 22 = -t + 3*t. Calculate the greatest common divisor of t and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 11 - 25. Let m be (2 + -1)\/1 + 1. Suppose m*k = 3*v + 49, -5*k = -0*v - 2*v - 95. What is the remainder when k is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 16*z**2 + 16*z + 30. Let u be d(-15). Suppose -u = -l + 4*h, -6*l + h + 9 = -4*l. Solve 4*s - 16 = -j, 2*j - 2 = -5*s + l*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(5*t - 66 - 3*t**3 - 2*t + 5*t**3).\nAnswer: -2*t**3 - 3*t + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*(((-400)\/(-72))\/(-5))\/(16\/12)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-6))\/(n*n*n**(-2\/15))*(n*n**1*n*n)**(-4\/7))**(-34\/7) assuming n is positive.\nAnswer: n**(-10166\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 12414*l**2 + 173163*l - 185580.\nAnswer: 3*(l - 1)*(l + 15)*(l + 4124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25586.31 centuries in decades?\nAnswer: 255863.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 23068328?\nAnswer: 207614952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - r**2 - 24*r + 3*r**2 + 14 to the form h*r + j*r**2 + y and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 1870*h - 1871*h + 3*n, -4*h + 3*n = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*g - 3*w, -g - 3*g = 5*w - 26. Let d = 103 + 251. Let o = d + -5312\/15. What is the biggest value in -0.5, o, g, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292208 is divided by 4760.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = -163 + 27 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 4 + 3*p - 2. Let c be f(7). Let i = -8.4 - -8.6. Sort c, i, 5.\nAnswer: i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 11:15 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -83.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 66 = 241. Let y(l) = 7*l + 194. Let r be y(m). Solve 0*z = -3*t - z - 7, -t = -3*z + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242615 to the power of 1\/2, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 8 = 80. Let v(o) = -u*o**2 + o - o**2 - o + 16*o**2. Let x(z) = 8*z**2. Determine x(v(l)).\nAnswer: 968*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*o - 95 - 65 - 15 - 16*o - 37 wrt o?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 47*i**2 - 2997*i + 15828. Calculate j(58).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21174 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 40 + 11 + 28 - 169*f**2 as n*f + p*f**2 + y and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17844 divided by 4?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**2 + 41*a + 8. Let i be v(-5). Suppose -8*f - 3*j = -9*f + 68, -164 = -i*f - j. Calculate the least common multiple of 77 and f.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1372159 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 - 2) + (-1 - (3 - -11))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 10) to base 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - 285*l + 849. Determine w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69321 and 5.03?\nAnswer: -348684.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82887008*a**2 + 26*a - 355296 wrt a?\nAnswer: 165774016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 131, 298, 533?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 15 = 5*a. Let x be (-1*(-16)\/(-12))\/((-3)\/9). Solve 3*k = 2*q - a + x, -4*q = 4*k - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5443.96549 - 5444. Round h to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 10. Let k(n) = 2563*n + 20. What is k(s) - 2*z(s)?\nAnswer: 2567*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1674436317 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 d when four letters picked without replacement from {z: 1, o: 3, y: 4, a: 5, i: 1, d: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55951956, -111903904, -167855852, -223807800, -279759748?\nAnswer: -335711696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*r + 9 = 0. Suppose 9 = -r*f + 33. Let n be (16\/16)\/(1\/f). Solve -4*d - n = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100111011100011000 (base 2) in base 15?\nAnswer: 454e0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112289, 224580, 336871, 449162?\nAnswer: 561453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16359, -32207, -48055, -63903, -79751, -95599?\nAnswer: -111447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 89*g**3 - 9*g**2 + 35*g - 12. Let h be v(4). List the prime factors of -2 - ((-12)\/(-66) + h\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -33. Let g(o) be the first derivative of 9*o - 6 + 10*o - q*o + o**3. Differentiate g(v) with respect to v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from zfzqllfllttlmqll?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 + 9*y**2 + 12*y + 9. Let x(z) = -z**3 + 2*z**2 + 3*z + 2. Let c(a) = a**3 - 3*a**2 + 4*a - 2. Let t be c(2). Give t*d(o) - 9*x(o).\nAnswer: -o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - f = -8*l + 39, 5 = 3*l + 4*f. Let h(r) = -r**3 + 4*r**2 + 8*r - 5. Let k be h(5). Let n = k + -3. What is the greatest common divisor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3. Let c(i) = 15*i**2 + i + i**2 + 4*i**2 - 21*i**2 + 0*i - 1. What is -3*c(z) + t(z)?\nAnswer: 4*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - 465*q**2 + 69. Calculate u(93).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-32)\/((i**(2\/7)\/i)\/i)**11 assuming i is positive.\nAnswer: i**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*111\/(-370)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 3*g - g - g. Let r(z) = 2*z + 1. Let q be r(1). Let c(y) = y + 6*y - 3*y - q*y. What is c(l(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.1 (c) -2 (d) 1\/2 (e) -2.66 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62 - -2)*(4 - (-27)\/(-6)). Suppose -2*l = 20 - z. Solve l*r - t + 5*t = -18, 0 = 3*r - 3*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 282*x + 1977. Let v be c(-7). Let z(p) be the first derivative of v*p + 1 + 21\/2*p**2. Find the first derivative of z(s) wrt s.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 - (-52)\/9. What is the third derivative of q*a**2 + 21*a**3 - 6*a**4 - 21*a**3 wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 8333, 5, 4, 0 in increasing order.\nAnswer: -5, -4, 0, 4, 5, 8333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6920\/8304)\/((15\/(-7))\/(172\/301))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15\/14 + -163\/126. Suppose 90*f = 99*f - 45. Which is the closest to 1? (a) f (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2*y - 8)*(10 - 5*y + 8 - 5) in the form s*y + h*y**2 + m and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -884\/21 - -42. Let d = -2 - -4. What is the closest to -0.1 in s, -1\/4, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**3 - 174180*n**2 - 26917749*n - 1051797690.\nAnswer: -(n + 6810)*(5*n + 393)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/600 and -94\/1144875?\nAnswer: 9159000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k + 5*k**2 + 0*k**5 + 1\/105*k**7 + 0*k**3 + 1\/120*k**6 + 0*k**4 + 1\/336*k**8 + 0. Suppose i(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/121*(58\/(-5) + 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125178759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a68611 (base 11) in base 12?\nAnswer: -6a5526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60740 is divided by 515.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*m + 1\/5*m**3 + 1\/5*m**4 - 1\/5*m**2 + 0.\nAnswer: m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 - 16 - 29 - 1 + 0 + 3 + (2 - 4 + 0)*(-1 + 3 + 0))*(181 + 14*y - 181) to the form o*y + m and give o.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t. Let u be c(-3). Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1248083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/5, -2\/3, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3150 and 0.5.\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)\/(-13 + 3050\/225)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 1. Let l be p(-2). Suppose 0 = -m + l*z - 1, -2*z - 25 = m + 3*z. Let r = 9 + m. Is r greater than or equal to -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cxxxxxxcxxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 3. Let z be (-148)\/38 + (-6)\/57. Calculate a(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 - 3*r + 2. Let k be x(-5). Is -1 + k + (-1 - -3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -950.22943?\nAnswer: -95.022943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 26. Let s(t) be the first derivative of 2\/27*t**3 + y - 2\/9*t + 0*t**2. Factor s(a).\nAnswer: 2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374163 is divided by 93536.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60170 - -6731. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 - 38*o**4 + 100*o**3 + 6*o**2 - 135*o = 0?\nAnswer: -1, 0, 5\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvvkkkzvzvzzkkkkv. Give prob of picking 2 v and 1 k.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 24 - 22. Let k be 121\/33*x\/(-11). What is the third biggest value in k, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12396 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*u - 2*j + 18, 0 = -66*j + 858 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + r + 2*r + 9, -2*z + 5*r + 9 = 0. Solve -2 = 9*o - z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 1090, 2501, 4486, 7045, 10178?\nAnswer: 13885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-2))\/(-5)*(-8)\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 7*p - 427. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/1027 + -2087\/11297. What is the common denominator of -127\/1962 and h?\nAnswer: 21582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204403.67 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549148.\nAnswer: 2, 23, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u + 5. Let n be w(-5). Suppose 18*k - 18*k**3 - 6 + n*k**4 - 6*k**4 - 10*k**2 + 2 = 0. What is k?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*s + 380*s - 38869 = -203*s - 18*s for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 38*j - 49. What is b(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24703 - 24703 + 21*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/828 and 83\/1518.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206 + -1439\/7. What is the common denominator of d and -82\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from {s: 5, m: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and -2.525.\nAnswer: 7.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -427301 + 427301 - 5*b**2. Let q(g) = 5*g**2 + 7. Give q(o(w)).\nAnswer: 125*w**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 808295 + 3?\nAnswer: 808298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 4*d**2 + 6*d**4 - 43*d**3 + 44*d**3 - 13 + 3 to y + m*d**3 + c*d**4 + w*d**2 + t*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4193497\/6 + 695219. Let l = q + 3716. Find the common denominator of 47\/11 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/134 - 527\/1206. Suppose -5*u - 5*q = -10*q - 10, 4*q + 3 = -u. Is z < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Let u(x) = 4*x - 2. Let r be u(2). What is the remainder when r\/(-9)*-3*5 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.63. Which is the fourth biggest value? (a) 0.4 (b) -1 (c) v (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-21 + 12) - (6 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.011, -2\/11, 8, 3, -0.3 in ascending order.\nAnswer: -1.011, -0.3, -2\/11, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 318 * 290.\nAnswer: 92220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/205 - 233\/820. Which is the third smallest value? (a) -53 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2652528 and 59568.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhhnshhsnhhhhlblnh. Give prob of sequence snn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4025\/483 + 4\/(-24)*-4*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbmmbmcbmbmpmmp. Give prob of picking 2 m, 1 c, and 1 b.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 16 = 0. Suppose -x*g - 6 = 5*u - 2, -4*g + 8 = 2*u. Calculate the lowest common multiple of 6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = y - 5*v, -2*v + 414 = 5*y - 3*v. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**3 + q**2 + 1226*q + 1228. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 + 291*q**4 - 6906*q**3 - 7494*q**2 + 6909*q + 7203 = 0. What is q?\nAnswer: -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*h - 2*h + 597, -5*w - 585 = -5*h. Suppose -4*c + 2*c = -h. Suppose 0 = 5*t - t - c. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -84*b**4 - 16160*b**3 - 114908*b**2 - 38368*b + 20720 = 0.\nAnswer: -185, -7, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -29. Suppose -24 - 276 = -b*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -574*s**3 + 27*s**2 - 3*s - 14. Let d(w) = 383*w**3 - 17*w**2 + 2*w + 9. What is -8*d(f) - 5*u(f)?\nAnswer: -194*f**3 + f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*p + 7185 = 7181, p + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 57*n**2 + 8*n + 5. List the prime factors of p(4).\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 - (-1)\/(-5). Suppose 9*r - 5*r = 0, 4*h - 5*r = 4. Let n(i) = 2 + 1 + 14*i - 13*i - h. Calculate n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 2*q**2 + 2*q - 2. Let o be i(2). Let a = o - -11. Suppose a*v = 5, -3*b - 2*v = 2 - 49. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 58 + 14*y)*(2*y - y + 9*y) + 2*y**2 + 0*y**2 - 3*y**2.\nAnswer: 139*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 - b + 2. Let k = 7 - 7. Let d = k + -2. Calculate c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21877324 (base 9) to base 4\nAnswer: 220201002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1847, -5, -72, 5, -2, -4, -1 in increasing order.\nAnswer: -72, -5, -4, -2, -1, 5, 1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 10. Let k be o(-6). Suppose 3*q = 5*q - k. What is the remainder when (-2)\/(-2 - q)*10 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6111165*b**3 - 9*b**2 + 9*b**2 - 6111166*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 26 = 2*y. What is the third derivative of -773*i**5 + 773*i**y + 15*i**2 + 22*i**6 wrt i?\nAnswer: 2640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -175. Put 4, q, -5, -4 in ascending order.\nAnswer: -5, -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x - 3*x - 2*d, 0 = x - 2*d - 10. Suppose x*s = 5*s - 288. Let v = -39 - s. What is the remainder when v is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o - 3*h - 3 = 0, -h = 3. Suppose -2*t + 11 = w, -5*w - 12 = -3*t - o*w. Let s = -3 + t. Solve -s*z = 2*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = g. Let y be (2 + (-26)\/g)*-5. Suppose -y*s = -31 - 5. What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(sqrt(66) + 3*sqrt(66)))\/(sqrt(30)\/sqrt(5)*-4) + 5)**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -781 - -781. Let w(v) be the first derivative of 0*v + 7 + x*v**2 - 1\/6*v**4 + 0*v**3. Factor w(f).\nAnswer: -2*f**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1919?\nAnswer: -2\/1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/83 (b) -1 (c) -4 (d) 3 (e) 1.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + l**2 - l**2)*(0*l**2 + 3*l**2 + 5*l**2)*(-5 + 0 + 4) to a*l**3 + c*l**4 + i*l**2 + v*l + z and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10768, -21532, -32286, -43024, -53740, -64428, -75082?\nAnswer: -85696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999 + 3168 = 241*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 14*s**3 + s**2\/2 - s. Let k be y(1). What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 609736 (b) 1\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u. Let g(z) = 13*z + 1. Calculate g(v(a)).\nAnswer: -91*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31.9 + 61133.112683\nAnswer: 61165.012683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: How many minutes are there between 8:06 AM and 1:16 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/31 (b) 0.42 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -577003.\nAnswer: -4\/577003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -16)*5*3\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 6 - 2. Let r be 2 + z\/2 + -2. What are the prime factors of (r\/3)\/(4\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 42. Calculate o(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.05, 5, -28564?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18)\/((26\/4)\/(-13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 3*s - 5, 2*n + 12 = -4*s. What is the closest to -1 in -2, 2\/23, n, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t + 41 = -5*x, 2*x = 2. Let v = 36 - t. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4)\/h*((h**(-1\/3)\/h*h)\/h)\/h)\/(h\/((h*((h\/(h**0\/h*h))\/h)\/h*h)\/h))**49 assuming h is positive.\nAnswer: h**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6684*c + 53468. Give y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691261 is divided by 57579?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102988 - 7471596\nAnswer: -7574584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*b)*(-5 - 1 + 3) + 3*b + b - 2*b)*(3 - 3 + 4*b**2) - b**3 + 1 - 1 + (-5*b + b + 2*b)*(-2*b + 2*b - b**2) - b**3 + 3*b**3 + 0*b**3.\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 4837382 + 4837382.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65499 (base 13) to base 10.\nAnswer: -183153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/5943643 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -8\/13, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -14, -1\/2, 0.1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 152 - 88 = -4*g. Which is the closest to g? (a) 0.1 (b) -2 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -59, -28, 21, 94, 197, 336?\n\"Answer: y**3 + 12*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8061 is divided by 326?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111\/2 - 54. Which is the smallest value? (a) r (b) 0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 21445, 44, 0, -1 in ascending order.\nAnswer: -3, -1, 0, 1, 44, 21445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9*7*2\/42\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.019 - 0.018. Let y = 2.963 - g. Which is the second biggest value? (a) y (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - ((-2 + 11 - -9) + -58)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79542?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*a**4 + 2*a - 212?\nAnswer: 1968*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 - 2*l - 2. Let r be h(-2). Let x(c) = 3*c**2 - c. Let t be x(r). Suppose 0 = 5*u + o - 41, 2*u + 3*o = 5*u - 21. Is t greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -1 + (26 + (7 - 32) - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 7*b + 7. Let t(o) = -o. Let a(v) = c(v) - 2*t(v). Suppose -h + 1 = r, -4*h - 58*r - 6 = -56*r. Give a(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.4 - -27.224. Let d = -0.176 - h. Which is the nearest to 1? (a) d (b) -1\/2 (c) 3\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*g + 10 = 16, f - 4*g = -12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-308.\nAnswer: 58.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 42*d**2 - 40*d + 47. Calculate k(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45544 = -45*a + 212494. Is 106 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1020 + -1?\nAnswer: 101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52358 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(931)) + (4 + sqrt(931))*5 + -3)**2.\nAnswer: 462*sqrt(19) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 20 = p + 5*h, 44*h - 43*h = -2*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 5 + 1 - 3*c**2 + 3)*(-1 + 0 + 2 + (-2 + 7 - 3)*(1 - 3 + 0) - 21 + 50 - 9) to the form x*c**2 + r*c + y and give x.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4266 is divided by 507.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*z + 116*z + 420 = 0. Suppose d = 0, 2*i - 10*d + 5*d - z = 0. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33 and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -72775844?\nAnswer: -72775844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*((-21)\/(-6))\/(-7). Let j = 41 + -36. Solve 3*k = -3*s + 9 + q, j*s + 2*k - 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111011111 (base 2) to base 15.\nAnswer: -8e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 2*c**4 - 3*c**3 + (-4*c + 0*c + c)*(6*c**3 - c**3 + c**3))*((-5 + 0 + 4)*(2*c - 2*c + 2*c) - 6*c + 3*c + c).\nAnswer: 64*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + r - 22 - 5)*(-r + r - 2*r**2) - 3*r**2 + 4*r**3 + 3*r**2.\nAnswer: 2*r**3 + 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000143545054 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 109940198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 82 + 6*g - 82 - 5*g. Let t(q) = -29*q - 1. What is i(t(k))?\nAnswer: -29*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2544 and 61\/47565168.\nAnswer: 47565168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3 + 12. Let r(m) = -9*m**2. What is r(u(s))?\nAnswer: -81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(90) + sqrt(11) + -6*sqrt(44)\/sqrt(4))**2.\nAnswer: 2156\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6532 by -115.\nAnswer: -284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:44 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16987\/1302 + 26\/217. Calculate the common denominator of z and -5\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -397, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1298, 18, 2, -4.\nAnswer: -1298, -4, 2, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(0 + 161\/46) - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 429 = 485 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -10, 271, 13 in decreasing order.\nAnswer: 271, 13, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 27 = 32. Find the common denominator of -2*(-111)\/66*b and -68\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 7. Let u be h(8). Is 5\/(u - 1)*-298 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 6729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 7*d**2 + 6*d - 4. Let s be y(-6). Let a be -7 - s - (0 - 2). Put a, 5, 0 in decreasing order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9028 and 6.\nAnswer: 27084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2124 and 121\/12?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.2721 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 3. Let w be m(-3). What is the second derivative of 30 - 14 + q - 16 - w*q**2 wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3*30\/(-18) - -514 - 0 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from iildldiii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.117 - 0.117. What is the third biggest value in t, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(10450\/44))\/((13 - 17)*(-1)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*q**4 - 29*q**4 + q**4 + (4*q**2 - 4*q**2 - q**3)*(-1 + 2*q + 1).\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(84) - (sqrt(84) - -3*sqrt(84)*-1))*5)\/(sqrt(588)*3 + 3*sqrt(432)).\nAnswer: 10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 23\/(-7). Let s = -0.011 - 0.849. Let y = s - -0.9. Sort m, -2\/13, y in decreasing order.\nAnswer: y, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.82 + -0.18. Let m = -26.4 + 32. Let a = l + m. Put 4\/5, 1\/8, a in descending order.\nAnswer: 4\/5, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -2269, -3485, -4789, -6211?\nAnswer: -7781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*n - 21*n**2 + 3\/2*n**3 + 0 = 0. What is n?\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -23 + 303. Let s = r + 35. Let f be (-7)\/(28\/(-32)) + s. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/18 and 79\/594306?\nAnswer: 594306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10117339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let q(k) = 10321149*k**2. Determine i(q(o)).\nAnswer: 106526116680201*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.17 or 2\/2905?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(32)*-2*1.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759639 is divided by 974.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**3 + 252*h**2 + 622*h + 25611. What is j(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/109? (a) 0.64 (b) -0.228 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3\/((-10*(-7)\/70)\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + -2 + -2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -8, -5, -108, -0.108?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 5*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*3\/(-3) + 2. Let h be (-1)\/(-6)*m*9. Suppose -2*q - h = 2. Let z(c) = -2*c + 3. Let x(u) = -2*u + 4. Calculate q*z(s) + 3*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1501, -2152, -2807, -3466, -4129, -4796?\n\"Answer: -2*x**2 - 645*x - 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/99 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1579*l - 5*m = -1575*l + 16, -3*l - 4*m = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2 - 2)*(-2*y - 4*y + 5*y) - 4*y**2 + 4*y**2 - y**2 + y - y**2 - y**2 - y**2.\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2\/5, -33.\nAnswer: -33, 2\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 35*j - 76. Does 62 divide k(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 868*x\/9 - 94178\/9.\nAnswer: -2*(x + 217)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2700 and -76\/45.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 5*c + 66. Let s be n(-8). Let j = -807 - s. Is 193 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/903 and 107\/1204.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 12. Find the third derivative of -7*r**d + 6*r**2 - r**3 + 3*r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 0*n**5 + 0*n**5 - 13*n**4 - 2*n**5 + 13*n**4 + n**5 + 0 + 0 + (n**3 - 5*n**3 + 3*n**3)*(4*n**2 - 4*n**2 - 2*n**2).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 20*u - 34. Determine w(-20).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106297317.\nAnswer: 3, 7, 241037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y. Suppose -220 = w + 4*w - 4*q, 5*w + 2*q + 190 = 0. Let v be 152\/w - (-3 + y). Which is the closest to 0? (a) -3 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2789*h**3 - 2816.\nAnswer: 8367*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(45\/1))\/((-24)\/(-210))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 3}. Give prob of sequence qd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:38 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.3 - -299.7. Let z = -368 + a. Put 0.2, 2\/3, z in decreasing order.\nAnswer: 2\/3, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 979 (base 10) to base 11\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 109. Suppose -2*r - 33 = v, 11*r - 9*r + 197 = -5*v. Let y = v + p. Calculate the highest common factor of y and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -18.2, 1\/4, 2, -66?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.33582 micrometers in centimeters?\nAnswer: 0.008533582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11896\/18413 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264007880265304 + -0.4?\nAnswer: 264007880265303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 minus 6?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:48 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:46 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:58 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let w(c) = c + 1. Let x(t) = 4*k(t) + w(t). Let d(b) = -2*b - 37. Suppose 4*g = 5*s - 89, 0 = -4*g + 3*s - 69 - 10. Let a be d(g). Give x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - 32. Suppose -3*t + 110 = -8*t. Let f = t - k. Calculate the greatest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 31*a**5\/120 + a**4\/12 + 4*a**3\/3 - 2*a. Let o(v) be the second derivative of u(v). What are the prime factors of o(1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 5*l. Suppose -5*f + 2*j = -15, f = -4*f - 2*j + 35. Let r be h(f). Which is greater: 1\/4 or r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -199, -132, -65?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*p - 9, 5*x + p = -3*p - 9. Sort x, 2, -3 in ascending order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n + 2. Let t(v) = 2*v - 1. Let g(r) = 3*r - 8. Let p be g(7). Let u be -12 - 2 - 4\/1. Let o = p + u. Determine o*t(f) - 2*l(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4 - (-5)\/10. Let y be (-49)\/(2\/w + 2). What is the remainder when 4 + (-2 + 0 - y) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 - 17 = 0. Suppose -n - 5*x - y = -4*n, 0 = 2*n + x - 6. Let j be (0 + (-9)\/(-15))*n. Solve 0 = p + j + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.16 (c) -1\/2 (d) -0.06 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 - 5 = -4*n, 4*n = 3*j - 9. Let a(h) = -h + 1. Let k be a(n). Let p be 2\/((k\/(-2))\/(-1)). Solve -l - 3*w = 2, 5*l + 9*w = p*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 bigger than 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-5) + 115*-1. Let f = -60 - r. Suppose -f = -2*u + 317. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462804 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 32861811?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20156 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2))**(6\/31))**(4\/3) assuming d is positive.\nAnswer: d**(24\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 890, 871, 828, 749, 622, 435, 176, -167?\n\"Answer: -2*b**3 - 5*b + 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3857 - -3933. Calculate the highest common divisor of v and 4180.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29012 is divided by 29005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 390*l**5 + 3925*l**4 - 35*l**3 - 37095*l**2 - 27855*l + 5670 = 0. Calculate l.\nAnswer: -9, -42\/13, -1, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1138868*f**3*g*h**2 + 4957*f**2*h**2 + 2*f**2*h - 35*f*g*h**2 - f*g - f - 3*h**2 wrt f?\nAnswer: 6833208*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101000100011 (base 2) in base 14?\nAnswer: 6cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120489, 240746, 360771, 480564, 600125, 719454, 838551?\n\"Answer: -116*t**2 + 120605*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i - 100*i + 33*i + 13*i in the form r + j*i and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 6, 0.08, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841?\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3553502 is divided by 8974.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 7*d**2 - 20*d - 42. What is g(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589 (base 10) in base 5?\nAnswer: 40324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1132.985 + 1133. Sort u, -0.5, 3 in increasing order.\nAnswer: -0.5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4)\/(-126) - 21123476\/(-1449)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1179, -153 in increasing order.\nAnswer: -1179, -153, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/20)*q*q**39\/q assuming q is positive.\nAnswer: q**(781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/2 + 10*t - 12. Let h(l) be the first derivative of u(l). Let x(r) = -2*r. Calculate h(x(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + 2. Let r = -9 + 13. Let v = 6 - r. Which is the nearest to z? (a) -0.3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*r + 90*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 201, 808, 1991, 3942, 6853?\nAnswer: 10916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 - 3 = 0. Let h(r) be the second derivative of -3*r - 1\/4*r**4 + 0 + 1\/2*r**2 + 0*r**s. What is the derivative of h(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 308722*l**3 + 203584?\nAnswer: 926166*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 21*c**2 + 0 + 2 - 4.\nAnswer: -21*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - -18. Suppose 3*n - 159 = -3*u, 0 = -5*n + 4*u + 172 + b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**7*o))\/(o**(3\/11)\/o)*o**2*o**(10\/9) assuming o is positive.\nAnswer: o**(-412\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 1. Let g(z) = 9*z**2 - z - 9. Let t(d) = -g(d) + 3*i(d). Let h(y) = -y**2 - y + 1. Let c(j) = 5*h(j) - t(j). Determine c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*n**6 - 1105*n**5 + 45427*n**2 - n.\nAnswer: -2760*n**3 - 66300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 112*t**2 + 4*t + 4*t - 11*t to the form i*t**2 + j*t + z and give i.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 30, 1, 2721 in increasing order.\nAnswer: -10, 1, 30, 2721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28441 = 248*j + 171*j + 1254*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/115 (b) -585 (c) 4.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvgvvvggv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 h, and 1 j when four letters picked without replacement from cahhjjjjch?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**10\/k))\/k**(1\/2))\/((k\/((k**(4\/5)*k)\/k))\/k**8))**35 assuming k is positive.\nAnswer: k**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) 2\/3 (c) 1\/3 (d) 2\/15 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) - (720\/(-700) + 41\/1435)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = 0, 2*d + p - 4741405 = -0*p. Suppose 10*q - d + 750700 = 0. What is q rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.13048668 less than 1263826?\nAnswer: 1263840.13048668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7031 - -37371. Is 34 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 - 81*m - 7. Let o be y(-10). Is 45\/11 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 + -4 - 35\/(-21)). Suppose 17 = 2*w + 19. Let c be (3 - w - 1) + 0. Put 4, p, c in descending order.\nAnswer: 4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Let i be 55 + (-2)\/9 + 47\/9. Suppose 0 = 2*q - w*s - i, -s + 6*s = q - 20. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488043371 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33800 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208*g**3 - 2418*g**3 + 1207*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, -2\/5 in ascending order.\nAnswer: -5, -2\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52222984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.0725281 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**6\/6 - 301*u**5\/5 - u**2 + 1404*u - 1752. What is the second derivative of z(g) wrt g?\nAnswer: 20*g**3 - 3612*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**2 + 2 - 11*w**2 + 5*w**2 - 2.\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 737843026 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*22\/44*-30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120177163 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Let d(j) be the third derivative of g*j - 1\/24*j**4 - 2*j**2 + 0*j**3 + 0. Let b(i) = -3*i. Give -b(q) + 4*d(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7))**(-25\/4) assuming c is positive.\nAnswer: c**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13184 + (455\/70 - (-15)\/(-10)) is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 11*s - 4. Suppose -4*a = -3*a + 11. Let g be t(a). Let o be (2 + 2)\/(g\/(-18)). Solve 5*v = 7 + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 851 and 5?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*85\/(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1719 = 1291. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 - 78 + 76 + 10*c**2 as b + p*c + r*c**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -43.2. Let o = 16 - 15.5. Let y = 4.09 - 0.09. What is the second smallest value in y, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -26 + 6. Let y be ((-32)\/(-24))\/(k\/(-9)). Let g(q) = -8*q - 756*q**3 + 8*q**2 - 2 + 755*q**y - 1. Give g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2 - 18 = t, 0 = 5*t - q - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**4 - 2006*m**3 + 6212*m**2 + 45662*m + 25620 = 0. Calculate m.\nAnswer: -3, -5\/8, 7, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - 13*q + 13. Let z(o) = -o**2. Let x(p) = d(p) - 5*z(p). Let v be x(13). Suppose -16 = -s + v. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/(-4 + 3) + -1. Let l = p + 69. Suppose 0 = -v - 3*k + l, -2*v + 136 = 2*v - 2*k. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 53 = 3*s - 1785, -4*r = 2*s - 1212. List the prime factors of s.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -11\/695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000 + -11101011011?\nAnswer: -11000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 1212\/(-210))\/(14\/49).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - 308. Let p = -311 - u. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 + 0 + 1). Let i(d) = -2*d + 6. Let x be i(4). Let s be 3 - 2\/(x - 0). Put g, s, 2 in descending order.\nAnswer: s, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 383\/28 - 94\/7. What is the smallest value in -0.5, i, -3\/22, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by -4937736?\nAnswer: -121\/4937736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41537375837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 92 + a - 2*a**4 + 0*a**2 - a**2 - 90 to the form w*a**3 + h + i*a + f*a**2 + o*a**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)\/(-4*sqrt(14)\/sqrt(2)) + -3)*-5)**2.\nAnswer: 75*sqrt(13)\/2 + 3925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + d + 4, -11*k - 31 = 5*d - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 14853*x - 34 + 14856*x to b + h*x and give b.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + g = -11, -3*u - 5*g - 15 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -t + 8, 5*t + t - 2*u - 72 + 141 = 53 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahaaahahh. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7 + 621\/(-21). Let b = 36 + j. Calculate the greatest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 361900 and -5.\nAnswer: -1809500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13551611 - 3*n + 13551611.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = f + 2*f + 1, 5*f + 2*s = 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 26. Let m be 9\/12 + 69\/v. What is the hundreds digit of 3540\/m - 3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 584 - -413. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4084)\/9270 + ((-532)\/63)\/(-19). Which is the biggest value? (a) w (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -40 - 0. Let n(g) = 1109999*g + 10. Let u be n(k). Round u to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 1. Let p = q + 5. Let x = 16 + -15.5. Which is the third biggest value? (a) x (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 839251 times 0.61\nAnswer: 511943.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -9. Let m(a) = 2*a**2 + 2*a - 1. Calculate the least common multiple of m(-3) and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 2?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + (sqrt(85)*2 - sqrt(85) - sqrt(85)))*-2)\/sqrt(5) + 5 + sqrt(34)\/sqrt(2)*-4.\nAnswer: -8*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 6*o - 1080. What is g(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32996*v**4 + 2*v**3 + 5*v**2 - 72*v + 7?\nAnswer: -791904*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 21. Let p be y(-4). Suppose 6*g + 5 = 7*g. Suppose 2*k - 86 = g*h - 10, -h - 114 = -p*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 2757*x - 2683*x. Suppose -21 = -5*d - 6. Sort -28, x, -3, d in descending order.\nAnswer: d, -3, x, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 1\/5 (c) 1\/2 (d) 224 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*r - 8*r. Let o = r + -6. Suppose 4*p - o*v - 51 = -v, -2*p + 23 = v. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3357281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397137319 to the power of 1\/2, to the nearest integer?\nAnswer: 58285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68803 is divided by 488?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 2, 16 in ascending order.\nAnswer: -2, 2, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n*r**2*t**3 - 2*n*r**2*t**2 + 2436*n*r*t**3 + 4*n*r*t**2 + 2*n*r + r**2*t + 6*r*t**3 + 192*r*t - 24*r wrt t.\nAnswer: -24*n*r**2 + 14616*n*r + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 6)*(-16 + 16 + 5*l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-6 - (-19 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 - 6) + 77 + -59).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 21 + 2)*(2*t**2 - t + t) + 1 - 1 - t**2 + (5 - 2 + 7)*(-2*t**2 + t**2 + 3*t**2).\nAnswer: 55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 715 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 670 + 96 = 0. Let j be c\/14 + 3 + 0. Let k = j + -23. Are -1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14901*j**3 - 1. Let p be (-5)\/(-10) + 9\/(-6) - 0. Let w be t(p). Round w to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 4*h**4\/3 + 2*h**3\/3 + h - 53. Let j(t) = t. Determine j(b(f)).\nAnswer: 16*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + 2*z**2 - z. Let y be i(1). Let s be 1\/3 + y\/9. Solve 3*j = -s + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90574 and 35084?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let u = -1 + t. Suppose 4*s + u = -5*f - 7, -s - 3*f = 7. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/2)*o**(-23))**(-49\/5))**3)**(1\/6) assuming o is positive.\nAnswer: o**(2303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(3*a**4 - 5*a**4 - 2*a**4) + 5*a**2 + 5*a**4 - 5*a**2.\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011100011 + -10?\nAnswer: 110110011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-40)\/(-12))*9. Let b = u + -3. Calculate the smallest common multiple of b and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - 725*q + 723. Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3805 + 9855 = -177*x - 3862 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1910*b - 1021*b + 1597*b + 1213*b as a*b + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - -2)\/(3\/6). Let o be c\/14 - (-2)\/(-7). Solve 3*f + o + 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:42 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, -97.78, -0.6?\nAnswer: -97.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -87, -280, -665, -1308, -2275?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - (-15 + 18 - 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 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: What is -29296419 divided by 4?\nAnswer: -29296419\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + -110?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10394485 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/1650 - ((-90)\/945 + (-1002)\/315)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let l be (6\/(-7))\/((-12)\/1176). Let u(g) = -168 + 84 + l + 2*g + 17*g**2. Calculate a(u(f)).\nAnswer: -17*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - (-96)\/15. Let d(y) = -3*y**3 + 20*y**2 + 7*y + 10. Calculate the lowest common multiple of d(7) and 44\/a + 4\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 4 - t + 2. Let s be u(2). Let g be (-2)\/(-7) - (-66)\/14. Solve c = -g*a + 9, 4*a = -s*c - 0 + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3033*m - 9*m**4 - 3033*m + 31)*(7 + 5 + 0).\nAnswer: -108*m**4 + 372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f - 10. Differentiate 0*j**2 + 2*j**2 + 9 - f*j**2 + 3*j**2 with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 49*w**3.\nAnswer: -49*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(1134\/(-56)))\/(10\/(-255)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 3120?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/y*y**(-3)\/y*y assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -23 + 2959*(-10)\/(-1210). Factor -2\/11*p**2 - 32\/11 + k*p.\nAnswer: -2*(p - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/2))**(-16))**(-38))**(-46) assuming a is positive.\nAnswer: a**13984","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let p(q) = 38009*q**2 + 32499*q**2 - 76784*q**2. Determine p(x(i)).\nAnswer: -6276*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.6346 years in decades?\nAnswer: 21.06346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2824 is divided by 313.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -69616, 1\/130, -1?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -43039730 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*p**3*t - 79045*p**3 - 4*p**2*t + 7*p**2 + 6*p*t + 2*p + 2*t - 1098 wrt p?\nAnswer: -588*t - 474270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 4. Let w be z(5). What is the third derivative of -6*k**3 + 8*k**3 - k - w*k**2 + k wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/7, -2\/13, -2.1374?\nAnswer: -2.1374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 138\/(-207)*(117\/2)\/(-3). Suppose -5 = -s*i + 34. Solve -i*b - 4 = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165378408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -84*h + 104*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(960\/(-3710))*8\/84 and -7\/146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*j - 26, 304*j = -2*q + 305*j + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(250)\/sqrt(5) - (3 + sqrt(162)).\nAnswer: -4*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, b: 1, g: 1, h: 1}. What is prob of sequence hlbr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -78141.51 rounded to the nearest one hundred?\nAnswer: -78100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-18)*(-5)\/(160\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = 8*z. Let n(q) = 4 + 4*q**3 + 2*q**3 - 3*q**3 - 12*q**2 + 13*q**2 - q - 5. Let j be n(0). Sort j, 9, z, -2 in ascending order.\nAnswer: z, -2, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02017744143 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/16 + 300\/(-144))*16\/56. Let i = -16\/55 - -1\/11. Which is the nearest to -1? (a) g (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4482 - 4480. Which is the biggest value? (a) f (b) 604 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3212\/264 + 60\/(-5) + 8\/84*-1.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*z - 3*x - 1, 4*z + 3*x = 10. Let v be 6\/z*140\/42. Suppose 9*a - 4*a + 195 = v*d, -d + 4*a = -45. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101320, 101674, 102616, 104440, 107440, 111910?\n\"Answer: 49*h**3 + 11*h + 101260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*2)**2 + (-2*sqrt(156))\/sqrt(12) + (-6*sqrt(208))**2*3.\nAnswer: -2*sqrt(13) + 26676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68401344 by -132.\nAnswer: 518192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 3)*(-3*w**3 + 0*w**3 + 2*w**3) - w**3 + 5*w**3 - w + 0*w.\nAnswer: 7*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (79\/4 - (-9 + 12)) + 195\/(-260). Solve 2*j - i = -10 + 2, 2*j = -3*i - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3753\nAnswer: 1876.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(9\/5))\/d*d*d))**50)**(14\/9) assuming d is positive.\nAnswer: d**(560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = k - 3*k - 2*b, -18 = -2*k - 5*b. Suppose h - 3*r = -3*h + 47, 3*r = 2*h - 31. Is (18 + -1)*h\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*t + 128, -9*f - 712 = -4*f + 4*t. Let b be ((-16)\/f)\/(4\/10). Factor 2\/7*y**3 + 0*y + 4\/7*y**4 + 0 + b*y**5 + 0*y**2.\nAnswer: 2*y**3*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119128 is divided by 722?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2278 divide 849108554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*3\/6 + -2. Suppose 182 = p*o - 217. Suppose 5*g - 7 = o. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*s - 3, -3*p = 2*s - p. Let r be (-62)\/(-5) - (-8)\/(-20). Suppose 0 = 3*a + r, 0*v + s*a = v - 12. Solve -5*o = -v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-231)\/12 - 4)\/1 and (-30)\/20*59\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.0281 - 13.715. Round f to two decimal places.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 1. Let z be m(1). Solve -2*p - 3*t + 0*t + z = 0, -p = 3*t - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-52*(-46)\/(-368)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 v when three letters picked without replacement from vnfssfan.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjjgkkjk. What is prob of picking 1 j and 1 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1566 + -1562. Solve 3*b - 25 = -3*g - 2*g, -3*g - j*b = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/288 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 2\/13, -2, -2\/5, 9, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*(sqrt(153) - sqrt(153)*-1))\/(sqrt(108)\/(sqrt(48)\/sqrt(4))) - (1 + -1*sqrt(2448) + -3)).\nAnswer: -20*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 1221487244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 - 12) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001010 (base 2) to base 10.\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1681 + 4237. Let u = o + -1517. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 + 25. Let b(n) = -7*n**2 + n + 49. Let u(x) = -3*b(x) + 5*h(x). Let r be u(7). Suppose 3*z + r = 51. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22859328 or 22859329?\nAnswer: 22859329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 4, u: 1, p: 1}. What is prob of sequence lue?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 398688*v + 26492020224.\nAnswer: 3*(v + 132896)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7890281 or -7890292?\nAnswer: -7890292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*l**2 + 3 + 2*l + l**3 - 5 + 55*l**2 + 0*l**3 as p*l**3 + y + r*l**2 + o*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 1, a: 3, n: 3, s: 2}. Give prob of picking 1 s, 1 k, 1 i, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 125132 + -16916\nAnswer: 108216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, -10, 22 in increasing order.\nAnswer: -10, 0, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4117 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46097 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*z - 20 = -2*a, 4*z = 2*a - 20. Suppose a*y - 8*y = -72. Calculate the remainder when (-9)\/(-36) - (-279)\/4 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 21*v - 11. Determine p(-23).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(1008) - (-4 + 3 + sqrt(1008)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 168 (b) -18.7 (c) -3 (d) -209 (e) 0.3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 = 2*q, 4 = -4*v - 0*q - 3*q. Let n = -1 - -1. Suppose v*k - 8 + 0 = n. Solve -k*i - 11 = -4*d + 17, 5*d - 17 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100111101 (base 2) to base 7.\nAnswer: 6616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h. Suppose h = v + 4*g + 15 + 3, 0 = -4*v - g + 3. Let 0 + 2\/5*r - 2\/5*r**3 + 0*r**v = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 14*y**2 + 25*y + 10. Let v be d(-12). Let r(i) = -6*i - 7. Let a be r(v). What are the prime factors of (-22)\/((-332)\/(-68) - a)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -27, -64, -125, -216, -343?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 4 - 5 - r. Suppose q - 22 = n, 22 = q + 4*n - 9*n. Calculate the smallest common multiple of q and f(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131383027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {l: 5, p: 1, x: 1, v: 2, j: 1, t: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92064468?\nAnswer: 2, 3, 7672039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 1. Let r be j(-7). Suppose 12*o - r = 7*o. Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 - 494*k + 16. Let w be h(26). Solve -w*c = 255 - 367 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -747, -1497, -2247, -2997, -3747?\n\"Answer: -750*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/9 (b) -63 (c) 0 (d) -4\/5 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 210*w**3 - 67742277*w**2\/2 + 9193569*w\/2 + 1451619 = 0.\nAnswer: -3\/20, 2\/7, 161291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4430 by -61.\nAnswer: 4430\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3208 (b) 1\/9 (c) -0.3 (d) 2 (e) -0.08 (f) 1\/3 (g) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.02, -0.83, 0.05, 3, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 48, 60, 56, 30, -24?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22 = -3*x + 2*f, f - 22 = -3*x. Suppose -c - x = -3*c. Let y be (c - 0)*(-1)\/(-1). Solve -4*z + 3 = -5*t, -3*t = -y*z - 0*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f + 4*p, 0 = 8*p - 13*p. Let s(o) be the second derivative of -17\/20*o**5 + 11*o + 19\/2*o**2 + 0*o**4 + 0*o**f + 0. Differentiate s(q) wrt q.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -494.582 - 0.418. Let u = 489.03 + z. Let h = -2.13 - u. Round h to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5 = -31*n + 20. Let z = -7 + 1. Put -4, z, n in descending order.\nAnswer: n, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146653 - -101?\nAnswer: 150054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b6 + -2a?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 543*v - 3559. What is the tens digit of n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -443? (a) 2\/7 (b) 0.1 (c) -4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*16*(-10)\/(-320)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7210, 14418, 21626, 28834, 36042?\nAnswer: 43250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a262 (base 13) to base 3.\nAnswer: 1010201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**2*q**3 - 111*a**2*q**2 + 43*a**2 + 2*a*q**3 - 434*q**3 wrt q.\nAnswer: 54*a**2 + 12*a - 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and 74\/8 + 1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*g + 6 + 14, -4*g = -2*s - 8. Suppose g = -4*r + 3*r. What is the closest to r in 3, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**3\/4 + 179771*p**2\/2 - 1156012*p - 2671552 = 0.\nAnswer: -51376, -2, 104\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -672.1?\nAnswer: -672.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + -2. Let f = 14 - i. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 2 y when four letters picked without replacement from yyfaayayyyffzoaf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/5, -336, 0.142?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.634458 rounded to two dps?\nAnswer: 7.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x = 107*x - 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2+-7.39194\nAnswer: -9.39194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.094 times 18.6\nAnswer: 20.3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 - 671. Let h = 405 + d. Which is the third smallest value? (a) h (b) -2\/21 (c) 4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 14*d**2 + 14. What is the units digit of f(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 101. Calculate the remainder when d is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 272, -8, -4, -2, 9, 5 in descending order.\nAnswer: 272, 9, 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f87b2 (base 16) in base 4?\nAnswer: -23320132302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*f + 897851 = -213259. Is f a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 8:25 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 680084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1149, 2698, 4247, 5796?\n\"Answer: 1549*m - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 8 = -4*t. What is the greatest common divisor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48229.\nAnswer: 17, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19328 + 19734. What is the smallest common multiple of 28 and q?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 938 - 842. Calculate the highest common divisor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/329*336\/(-72) + (-5 - -3)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2\/15*r**3 + 2\/25*r**5 + 0*r + 2\/5*r**2 - 1\/5*r**4 - 7. Factor n(o).\nAnswer: 2*o*(o - 2)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 157*v**2. Let a(s) = -9842*s. Give a(r(p)).\nAnswer: -1545194*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9055 - 9057. Which is the second smallest value? (a) -824 (b) 0.5 (c) j (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137020620 rounded to the nearest 100000?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 470090\/1305 - -3*2\/(-108)*4. Calculate the greatest common divisor of 1170 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d - 14*d + 54*d - 14*d + d - 16*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k. Let x(v) = 7*v**2 + 4*v. Let q(r) = -4*s(r) + x(r). Let y(f) = f**2. Determine y(q(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 196dc09?\nAnswer: -196dc00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from ynznnqznzuntzynzzqzz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s - s + 5*s)*(15*s + 323 - 323)*(0 + 2 - 1) as u*s**2 + o*s + m and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*r**2 - 7*r**2 + 5*r**2)*(-72*r**2 + 36*r**2 - 10 + 35*r**2) to the form y*r**3 + h*r**2 + i*r**4 + p*r + b and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -585615 = -585406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2*18\/(-24)*3\/9)\/((-1078)\/(-6160))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5474 and -55\/130594.\nAnswer: 914158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1*sqrt(187) - sqrt(187))\/sqrt(11))**2 - (sqrt(1700) + (sqrt(1700) - (-2*sqrt(1700)*-4 + sqrt(1700)) - sqrt(1700))))*-5.\nAnswer: -400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -81*x**5 + 53946*x**4 + 550503*x**3 - 1992216*x**2 + 1858428*x - 527280 = 0.\nAnswer: -13, 2\/3, 5\/3, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*y + 9 - 5 - y**2 in the form g + o*y + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 16*z - 62. Let p be w(-9). Solve 0 = -n + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.97 times 0.4\nAnswer: 1.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 683266066 to the power of 1\/2, to the nearest integer?\nAnswer: 26139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 381113208 divided by -7057652?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r - 5*l, -6 = -0*r - 2*r - l. Let i(q) = 2*q - 6 - 8*q**2 - 9*q + 7*q**r. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*q + 0 + (2 + 2*q - 2)*(-2 - 4 + 5))*(-2 + 1 + 0)*(-3 + 1 - 2) + 29 - 29 + 5*q to m*q + y and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10*m = -5*m + 16, -2*y + 4*m + 14 = 0. Calculate the least common multiple of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose -x + i = -0. Let u be 3\/4*(-5)\/(10\/8). Sort x, u, 2 in descending order.\nAnswer: x, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1388 - -1633. What is the remainder when y is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35*(-57)\/133 + 6. Let u(q) = 19*q + 156. What is u(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*m**2 - 7*m*n + 2*m*y - 2*n*y - 3499*n wrt m?\nAnswer: -144*m - 7*n + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssgvssssggsssv. What is prob of sequence gs?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24212862 to the nearest integer?\nAnswer: 4921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**3 + 19 - 6*t**4 + 14*t**2 + 21 - 43 wrt t.\nAnswer: -144*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-5325875.\nAnswer: -1065175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*(3 + -3*sqrt(1053)) + 3)*3)**2 + -5.\nAnswer: -17496*sqrt(13) + 768925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16942, 23739, 30536, 37333, 44130, 50927?\nAnswer: 57724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52860 by 2278.\nAnswer: -26430\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674, -5341, -17864, -42125, -82006, -141389, -224156, -334189?\nAnswer: -475370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -503bd + -de3?\nAnswer: -512b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18093 - 1541.11907. What is k rounded to the nearest 10?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/227? (a) 0 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3, 32*l - 27*l = 4*z - 53. Solve 3*g + z = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6531343 (base 7) to base 13.\nAnswer: 21c0ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Solve -5*b = -3*r - 3, 12*r - 4 = 27*r - 16*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 + 6*x - 56\/9 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (414\/(-1725)*1\/((-1)\/5))\/(70\/525)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1147.\nAnswer: -1\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.248 - 1.34. Let u = -0.09199512 - g. What is u rounded to seven decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 162.\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, -2\/9, 0, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/3, 0.4, -3, 45?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.31. Let l = 0.23039 + r. Round l to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9529.43 - 9516. Round n to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(34*-1)*((-3)\/(-124))\/(15480\/79980).\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14345 (base 7) to base 8.\nAnswer: -7561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 8*m + 12 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9534*b**3 + 47061*b**3 + 14720*b**3 - b + b.\nAnswer: 52247*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -40871268887725.\nAnswer: -40871268887725.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002344 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*k = 1 - 206, -4*k = -3*u - 159. Let p be u\/(-4) - (-3)\/(-12). Suppose 3*y + y - p = 0. What is the biggest value in -4, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-306)\/27))\/(6\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1292286 + 7242051 = 0. Suppose 2*o - 973314 = -2*l, -2*l - 5*o = -p + 216624. Suppose 1296652 = 5*b + l. What is b rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -3*v - 10, -5*v - 18 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000276 to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6562786237 to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-5)\/i)\/i)\/i**(-3\/17))**(-3\/4) assuming i is positive.\nAnswer: i**(123\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o. Let h = 3 - o. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-99))\/((-4)\/6). Let w be (4\/(-1))\/((-70)\/5). What is the biggest value in 3\/5, w, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.752 and -556.5?\nAnswer: 418.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v)**(2\/51)\/(v**0\/v**(1\/4))*(v**(-2\/7))**(-2\/47)*(v\/v**(2\/3))**(-31) assuming v is positive.\nAnswer: v**(-224435\/22372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 498*v**2 - 81*v - 670. Is i(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 69.4 (c) 1 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/3 + m. Let d(v) = 3*v - 2. Let i(p) = -21*p + 15. Let z(l) = -15*d(l) - 2*i(l). Give c(z(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4 - -2) - 1. Suppose -4*p - 2*g + 13078 = b, -p = 5*g - 1699 - 1557. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394 - 556. Let g = f - -290. Let n(k) = -k + 128 - g. Let w(l) = -2*l**2. Determine w(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + (-7)\/(-2). Suppose 0 = 3*s - 5*n - 24, 2*n - 1 + y = -s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280700 by -280700.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 1690?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a. Let r(p) = 11*p - 1. Suppose 0 = -h - 59 + 37. Let k be h\/(-14) - (-18)\/42. Calculate k*r(b) + 5*g(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -44*q**3\/3 + q**2\/2 - 34*q. Is p(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 518. Let u(o) = o + 117. Let i(b) = -3*b - 234. Let h(j) = -i(j) - 2*u(j). What is h(t(k))?\nAnswer: -2*k + 518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-63) + -7*1\/(-9). Put x, 0, 24 in descending order.\nAnswer: 24, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 1023093*q**2 + 6138477*q + 9207675.\nAnswer: 3*(q + 3)**2*(q + 341025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 9*p + 45, 3*p - 4*d + 82467 = 82419 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 72. Suppose -19*i - 24*i**2 - 9*i**3 - 2*i**4 - 6 + i**4 + v*i**2 - 2*i**2 = 0. What is i?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/((-2100)\/40))\/((-113)\/3)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 39*f = 127 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-288)\/(-176))\/(-9) + (-1234)\/(-11). What is the highest common divisor of 9072 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.497 + 3.49700030424. Round x to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/123*455\/39 and (2\/2)\/4*5?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.078 and 261876.5.\nAnswer: 261876.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*j - 27*j - 29*j**2 + 13*j wrt j.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 14415*f**2 + 480980*f - 466560.\nAnswer: -5*(f - 32)*(f - 1)*(f + 2916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 14*y**2 + 14*y - 12. Give i(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - -277?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -133.6877.\nAnswer: 267.3754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*j + j + 6, -2 = 2*j + y. Suppose j = -46*k + 44*k + 6. Solve 5*n + a = k, 3*n + 4*a - 7 = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*k**3 + 87772*k**2 - 2240904*k + 2?\nAnswer: 894*k + 175544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23105262.\nAnswer: 2, 3, 353, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3) + sqrt(147)*5)*-4)**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let v(z) = -27*z - 6. Give v(l(h)).\nAnswer: 54*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -1 + 46. Let j be ((-6)\/d)\/(4\/18). Suppose 2*b - n = 87, 2*b - 135 = -b + j*n. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148955*u**3 - 345960*u**2 - 267840*u - 69120.\nAnswer: -5*(31*u + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 357.7783 millilitres?\nAnswer: 0.3577783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-33) - 2\/(-3). Let o be (-62)\/(-14) + (-48)\/112. Let b = 1 + -1.5. What is the second smallest value in o, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -49, 5, -1, 3 in decreasing order.\nAnswer: 5, 4, 3, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -u - 1, -4*u + 26 = 2*s. Suppose -s*v + 4*z - 1169984 = 0, v + v = 5*z - 779980. Round v to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 421650 - 2?\nAnswer: 421645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 4*f - 2. Determine d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133970934*k**3 - 245591628 wrt k?\nAnswer: -401912802*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(102\/(-255)). Which is the closest to i? (a) -0.001 (b) 4 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let x(y) = -5*y**2. Suppose 68 = -5*r - 52. Let a be -2*4\/(r\/(-9)). Calculate a*x(o) - 8*t(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (1*sqrt(170) + sqrt(170))\/sqrt(10) - (sqrt(17) + 1 + -3)) + (sqrt(17) - (sqrt(187)\/(sqrt(77)\/sqrt(7)) + sqrt(17)))*5)**2.\nAnswer: -12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 612 + -611.999998823. What is d rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 21?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -313\nAnswer: -4\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 5*f**2 - 6*f + 4. Let b(q) = -q**2 - 3*q - 2. Let y be b(-4). Let a be p(y). Let v(m) = m**3 - 5*m**2 + 4*m + 3. Give v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*b - 32, 4*b - 12*w + 10*w = -14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1966579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1342918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -239, -486, -729, -968, -1203, -1434?\n\"Answer: 2*s**2 - 253*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 7 = 5*r. Let t = r + 15. Suppose t*l = l + 20. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 735*i**3 - 6*i**2 - 3*i + 2. Let p(j) = j**3 + j**2 - 1. Let f(r) = -4*p(r) - z(r). Does 10 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21573 (base 14) to base 15.\nAnswer: 18d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 9. Let x = n + -65\/6. Let t be 2\/(-6) + 12\/108. What is the nearest to t in -1\/4, x, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (6 + 26)) + 2 + 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27720 = -134*m - 867*m - 259*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 10*q - 1. Let j be o(10). Let g = 11 - 4. Let b be 3*(g\/6)\/7. What is the closest to b in j, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.4. Let p be (-4*(-30)\/24)\/1. Suppose -3*n + 3 - 28 = -5*v, -4*v - p*n + 57 = 0. What is the closest to c in -0.2, v, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -13. Let l = -9530\/1883 + -22\/269. What is the common denominator of l and 1 + a - 693\/72?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81564 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -102*q**3 - 5*q**2. Let o(d) = 2091*d**3 + 102*d**2. Let h = 2382 - 2387. Determine h*o(f) - 102*t(f).\nAnswer: -51*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*z = 1798 + 766 + 192 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 2*m**3 - m**4)*(11*m - 5*m - 28*m - 2*m + m + 0*m + (-3 + 0 + 5)*(-m + 1 - 1) - 4 + 4*m + 4).\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*z**2 + 16*z**2 - 2080*z**2.\nAnswer: -1864*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: List the prime factors of 439567.\nAnswer: 439567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 40036cc?\nAnswer: -4003702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + (-23 - -3 - (-1 + (14 - 9)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, 1 b, and 1 w when four letters picked without replacement from {u: 7, n: 1, b: 1, w: 7}.\nAnswer: 7\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13959719 divided by 6.\nAnswer: 13959719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 979909, 1959818, 2939727?\n\"Answer: 979909*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153706.6 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13416 = -923*y - 1278*y - 30604 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 + 1655 = 10*u + 30*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000289723 to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1703 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8)\/(g\/((g\/(g\/(((g\/(g\/((g\/((g*g**(-8))\/g))\/g)))\/g)\/g)))\/g))*(((g\/g**2)\/g)\/g)**(-3\/4) assuming g is positive.\nAnswer: g**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 155 - 155.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppxxpxxppxpxxxxx. Give prob of picking 3 p.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 10. Let c be s(-9). What is the tens digit of (-27)\/((c - -2)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*a - 4*a - 1103, 3*b + 3 = 0. Let r = a + 2195\/4. Let y be (2*1)\/(16\/(-46)). What is the second biggest value in y, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5*3)*(-9 + -2). Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 5. What is t(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60919765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -19a8a683?\nAnswer: 19a8a679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -68 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 87676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -1345, -3465, -6447, -10297, -15021, -20625, -27115?\nAnswer: -34497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14800 and 8.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053865?\nAnswer: 5, 210773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c = 77*c + 4*v + 17, -c = -v - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - q**2 + q. Let m be 2\/1*3\/2. Let l(n) = 5*n**3 + n**2 + n - 4. Let u(x) = m*w(x) - l(x). Find t, given that u(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1208*u*w**3 + 309*u*w**2 - 974*w**3 - w**2 + 4*w + 1 wrt u?\nAnswer: -1208*w**3 + 309*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2\/2 + 14*l - 1. Suppose -2 = 3*y + 2*p, -y + 3*y = 2*p + 2. Does 7 divide v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -3*n - 19, 3*n = 5*y - 31. Let m be 20\/70 + 1 + (-26)\/n. Let c be m\/2*(7\/(-5) + 3). Solve 0*z - 3*z - 3 = -c*r, -r - 5 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(11*m**3 - 49*m + 49*m).\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265.\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + 0\/(-4) - -1. Suppose -4*a + 20 = -2*y, 0*a + a + 1 = 2*y. Calculate the remainder when (-4 - h - -31)\/(2 - 1) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 5*q + 5. Let m be f(5). Suppose 9 = -2*x + m*x. What is the lowest common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (645\/(-1548))\/((-2)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-33)\/(-12)) + 14 - (-104189)\/(-4846).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.329 + -0.063. What is w rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/92 + 381\/644. What is the nearest to -2\/5 in g, 2\/7, -2.14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003514267437 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -2593, -7990, -18357, -35350, -60625?\nAnswer: -95838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*(-21)\/(-105).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*m**4 + 7*m**3 + 70*m - 1 wrt m?\nAnswer: -348*m**2 + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*b - 2797*b + 648*b + 712*b + 726*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 505*w - 966*w = -482*w + 64, -3*l - 2*w = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194.6 * 692.96.\nAnswer: -134850.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5450 by 2.\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 9*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-8)*(-2 + 6 + 1). Suppose -3*h - h + 21 = g*f, 5*h - 22 = -2*f. Solve w - 4*w = 5*k - h, 3*k = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/(-693))\/((-8)\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4522.582 kilometers in nanometers?\nAnswer: 4522582000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.7. What is the second biggest value in k, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 + -4 - -7) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 175. Determine n(9).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/(-146)*8\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11171 - -16758. List the prime factors of d.\nAnswer: 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -3*k - 9, 4 = -2*f + 2*k. Put 1, 3, f, 4 in descending order.\nAnswer: 4, 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1004 and 43\/20.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoooioceeegoeoc. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 2\/11 (c) 0.4 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/14 (b) -0.4 (c) -2\/11197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 93, 135, 175, 213, 249?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4))\/(315\/1260)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 45665.\nAnswer: 50962140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 530\/11 - 2584\/55. Let d = -190576\/21 + 9072. Find the common denominator of o and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose 3*t + w = 0, c - 5 + 0 = -2*t. Let r(v) = -v + 8. Calculate r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100000?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/84*24\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 15 = -3*g. Let q = -0.38 + 10.78. Let l = 10 - q. What is the second biggest value in -3\/2, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10391, -0.3, -514 in decreasing order.\nAnswer: -0.3, -514, -10391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2220012121?\nAnswer: 2220012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8*v = 504. What is the remainder when v is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81461 divided by 4.\nAnswer: -81461\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from ddzzzzzdzzzzzz?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*x + 72, -394079 = 5*x + 3*f - 394023 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -66. What is the greatest common divisor of i and 960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2297 + 201 = 2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -13777286\nAnswer: 3\/13777286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (79257\/1305 - 87) + 22 + 0 and 2 - (-1)\/(5\/27).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10441 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - f + 1. Let k(g) = -13*g**2 + 10*g - 1. Let z(p) = k(p) + 5*o(p). Let c(x) = 3*x**2 - 6*x - 5. What is -3*c(l) - 4*z(l)?\nAnswer: 3*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 7221, 0.25 in ascending order.\nAnswer: 0.25, 24, 7221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 513, 1029, 1545, 2061, 2577, 3093?\n\"Answer: 516*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -341 + -2080806\nAnswer: -2081147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 275242 + -7?\nAnswer: 275233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)\/t*t)**38\/(t*t*(t**(-4\/19)\/t*t)\/t*t)**(-10\/3) assuming t is positive.\nAnswer: t**(-25652\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - -293.1. Let x = -436 + b. Let k be 11\/(-4) - 1\/4. What is the closest to -0.1 in k, x, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -5 (b) 0 (c) -4 (d) 1 (e) -2134 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 15*j - 35. Let v(u) = 3*u**2 - 13*u + 34. Calculate 7*v(s) + 6*w(s).\nAnswer: -3*s**2 - s + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - 252\/(-54). What is the lowest common multiple of r - (-196)\/(49\/7) and -4 + 3 - (-9 - 1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j + 3*j**2 + 58*j - 608 - 74*j to the form k*j**2 + w + x*j and give w.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 9*z**2 - 9*z - 3. Determine g(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from cpccpcffpopo?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v. Let d(q) = 3*q**2 + 228*q + 14958. Calculate d(o(c)).\nAnswer: 12*c**2 + 456*c + 14958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from uuuhuuuh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 17. Let d be 2 - 16\/(-6)*3. Let l be -10*(56\/d + -4). Let z be n(l). Solve -2*w + 2*b = -6, 4*w + 3*b + z = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*s**3 - 269*s**3 - 106*s**3)*(-5 + 2 + 1)*(-3 - 2 + 3)*(-2*s + 0*s + 3*s).\nAnswer: -1128*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17513.00000022535 - 17513. What is n rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48133618?\nAnswer: 2, 13, 23, 80491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001256 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110355 a multiple of 1846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 4 + (-4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - u - 69 = 0, -5*g + 159 = -2*u + 45. What is the lowest common multiple of 72 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5223? (a) -0.02 (b) 0.113 (c) -4\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -20*f + 8. Let o(y) = -13*y + 6. What is -5*d(u) + 7*o(u)?\nAnswer: 9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/7))**49\/((l*l**(4\/7)\/l*l)\/(l*l**(-2))))\/((l\/(l*l**(-3)*l)*l*l**(-4))\/((l\/((l*l\/(l\/l**0)*l*l)\/l))\/(l**(7\/3)\/l))) assuming l is positive.\nAnswer: l**(1682\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625824068 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 6*r**2 - 3*r**2 + (-2*r + 6*r - 2*r)*(-3*r + 4*r + r) + 4*r**2 + 4*r**2 - 6*r**2)*(-5 + 7 - 10) as a*r**2 + o*r + h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 42. What is the lowest common multiple of 12 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -27. Sort -0.3, y, -2, -0.5 in descending order.\nAnswer: y, -0.3, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -49?\nAnswer: 53.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -208, -315, -460, -643?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.134 and -0.5?\nAnswer: 0.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l - 1. Let w be k(1). Let o(s) = -4*s**2 - 9*s + 9. Let v(x) = -x**2 - 2*x + 2. Let j(i) = w*v(i) + 4*o(i). Let p(f) = -2*f**2. What is p(j(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*y - 27 + 27 + (-3 - 1 + 2)*(1 - 4*y - 1) - 19*y + 138 - 138 to the form p*y + a and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.335?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 491682 divided by 163894\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((368\/24)\/46)\/((-3)\/198).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 + -11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-222)\/(-24) + (-1)\/4. Let w = 21 - q. What is the greatest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -339\/14, 0.5 in decreasing order.\nAnswer: 5, 0.5, -1, -339\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13582, -27169, -40760, -54355, -67954, -81557, -95164?\nAnswer: -108775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {r: 1, m: 2, g: 3, w: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-1)\/(-3))\/(2\/(-1584)*22)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 9*i**2 - 10*i - 31. Let n be k(-8). Is -399 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9885.005 centuries?\nAnswer: 11862006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4470 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045897000 rounded to the nearest 1000000?\nAnswer: -1046000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 14460*o + 19526690.\nAnswer: 2*(o + 1405)*(o + 34745)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/7 + 2680*m**2\/7 - 421874*m\/7 + 419196\/7 = 0.\nAnswer: 1, 181, 1158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/60 - 44*i**5\/5 - 175*i**4\/4 - 262*i**3\/3 + 2*i**2 - 3911*i. Let a(r) = 0. What is r?\nAnswer: -262, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -54 + 32. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4 - 4)*(-4722*y - 3458*y + 9128*y).\nAnswer: -948*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqa when three letters picked without replacement from rwhwrqrabhbrrqqwbqr.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937820 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37551 days in seconds?\nAnswer: 118844.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343 and 12886853.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 602.23.\nAnswer: 23486.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4967789249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 9921 and 10174 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/(-36*(-14)\/5880).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -144. Let p be 11\/r - 3\/(-4). Solve -5 = 2*i + p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + 13 + (5 - 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 12. Let b be (0 + 3)*t\/6. Suppose -o + b = o. Put o, -3, 0 in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32649193 and 9.5.\nAnswer: -32649183.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112333122021 + 11?\nAnswer: -112333122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 94*n - 91*n - 1182, 74*n + 4*q - 27628 = 0. Let f be 8*(33\/(-2))\/(-3). Calculate the highest common divisor of f and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14 - 34 = 0. Let n be (-1)\/((12\/(-8))\/(-3)). Let d(h) = -h**3 - 5*h**2 + 6*h + 3. Let y be d(-6). What is the third biggest value in w, n, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**8\/(g**(1\/5)\/g)**(2\/27) assuming g is positive.\nAnswer: g**(368\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 30200*r - 60428125.\nAnswer: 5*(r - 1585)*(r + 7625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109\/11 - -3727\/264. Let m = -13\/3 + x. Which is the third biggest value? (a) 4\/7 (b) m (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 13. Let p = 26 + u. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4866 divided by 158.\nAnswer: 2433\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 653 + -722. Which is the nearest to 1? (a) -5 (b) 4\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -4 + 8 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**4)*(l**(-1\/3)*l*l)\/l)\/l**30)\/(l**(-1\/10)\/((l**(-5)\/l)\/(l\/(l**4*l)))) assuming l is positive.\nAnswer: l**(-817\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12573, 531 in descending order.\nAnswer: 12573, 531, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.493158 or -1?\nAnswer: -2.493158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sifiirf. What is prob of sequence ir?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - -ce336?\nAnswer: ce30e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 - 511\/4. Let t be (-7)\/45 - 2\/(-20). Which is the closest to 0.1? (a) n (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896658 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3012728 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 - (0 + -1). Suppose -62 = -4*x + 2*i, -3*x - u*x = -i - 76. Calculate the remainder when 73 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 6. Let p be x(5). Let u = -190.49 - -187.49. Which is the fourth smallest value? (a) -0.4 (b) p (c) 12.9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1290*-0.8\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 19. Let u be c(5). Do u and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.65 + -53.6. Let x = f - 0.75. Let h = -62 - x. Sort 1, -8, h in increasing order.\nAnswer: -8, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(190) - -3*2*sqrt(190)) + ((sqrt(190)*1 - sqrt(190)) + sqrt(190))*3)\/(-4*sqrt(20)\/(sqrt(14)\/sqrt(28) + sqrt(2))))**2.\nAnswer: 4195\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 6*f - f**2 - 47 + 101 in the form l*f**2 + j + t*f and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30234821037835 - -30235267673819.000227. Let q = 446635717 - s. Let m = 267 + q. Round m to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17818306*y**5 - 20829751*y.\nAnswer: -356366120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -24, 4, -46, 0, 36 in descending order.\nAnswer: 36, 20, 4, 1, 0, -24, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*n + 18 = 3*x, 0 = -2*x - 2*n + 14. Suppose -4*h + 36 = -5*r, 4*r + 34 = -x*h + 3*h. Let u = r - -10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 225\/63 + 3\/7. Factor -5\/3*h**3 + 7\/6*h**2 + 2\/3*h + 1\/2*h**x - 2\/3.\nAnswer: (h - 2)*(h - 1)**2*(3*h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/11*(-308)\/(-616)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5. Let s be i(0). Let m be 9\/4*8*s. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - h + 20 + 12 = -3, -10*h + 15 = -295 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000555131 rounded to seven dps?\nAnswer: 0.0000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 1)*((i + 4*i - 3*i)*(0*i + 3*i - 2*i) - 3*i**2 + 0*i**2 + 2*i**2 - i**2 - 3*i**2 - 2*i**2).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -982064*m**2 + 2*m - 1528858.\nAnswer: -1964128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092\/1404 + 1222\/(-3978).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139372195*m**2*z - 20780*m**2 - 153 wrt z?\nAnswer: 139372195*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-793)\/(-39))\/(11*11\/1089) and 5063?\nAnswer: 15189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10846?\nAnswer: 2, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*h - 1. Let s = -3 + h. Let w = -1 - s. Solve 23 = 4*a - 2*n - w, -a + 3*n = -11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15104606 (base 8) to base 12.\nAnswer: -11a0632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -35002.\nAnswer: -1\/17501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 15*y**2 - 489*y - 198 = 0.\nAnswer: -2\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10181?\nAnswer: 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130946891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 equal to -5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w - 4. Let v be a(7). Suppose i = -v - 90. Let y be 2\/11 + (-2156)\/i. Solve -4*q + 2 - y = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19480.21013 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:03 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = -3, 0 = 4*w + 5*m - 19. Let d(t) = 0 + 29*t - 3 + 6 - w. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969759 divided by -27.\nAnswer: 35917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15606 divided by 3\nAnswer: -5202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:23 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.9 + -10. What is the third biggest value in k, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4245009 and 3423.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -3, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-26) - 12\/(-78). Which is smaller: -2\/23 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/20)\/((-4)\/20). Suppose 0 = a - 0 - p. Let b(o) = -o**3 + 5*o**2 + 8*o - 8. Determine b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + c + 42 = 0, 3*c = -119*m + 80*m + 38*m - 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - 0.08. Suppose -4*q = -2*q + 2. Let b = 0.025 + -0.525. What is the nearest to 2 in b, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -887 divided by -1\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:55 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8226 or 8225?\nAnswer: 8225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -971, -2496, -4021, -5546, -7071, -8596?\n\"Answer: -1525*t + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 866309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1066 and 36736?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1)*(-176)\/440\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 33*z + 34. What is the remainder when r(33) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 3*g + 15. Let a(p) = -12*p**2 + 7*p - 29. Suppose 112 = -4*o - 104. Let q = 57 + o. Let s(u) = q*a(u) + 7*h(u). Differentiate s(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -901 + 905. Let h(m) be the second derivative of -1\/3*m**3 + 0 - 11\/12*m**q + 6*m - 1\/2*m**2. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1c9?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1654, -5\/4, 1\/4.\nAnswer: -5\/4, 1\/4, 1654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/3*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46644*g**2 - 17*g - 35258796 with respect to g.\nAnswer: -93288*g - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h + 53. Let u be m(-12). Is (-9*8\/u)\/(117\/546) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*l + 279 = 0, 2*l = 4*m + 4*l - 538. What is the remainder when 785 is divided by m?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 7. Let a be i(-8). Let v = a + 1. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 1. Let n(k) = 3*k**2 + k. Suppose -4*z + 4*p + 6 = -2*z, 5*z = -p - 7. Let l be n(z). Give f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 - 76*g**3 + 4*g**2 + 76*g = 0 for g.\nAnswer: -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54091671 divided by 6?\nAnswer: 18030557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 423\/12 + (-3)\/12. Suppose 193 = -18*q + 643. Calculate the highest common divisor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 165*m**2 + 6*m**2 + 51*m**2.\nAnswer: 229*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 15204\nAnswer: 7\/2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -15. What is the units digit of -1 - s - (-6 + -28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34149 or -34148?\nAnswer: -34149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnxnxqnqnnnnqn. Give prob of picking 3 n.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2. Let j(d) be the first derivative of 2*d**4 + 4*d**3\/3 - d**2\/2 - 3762. Give -6*c(l) + j(l).\nAnswer: 2*l**3 - 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(304) + -1)*-4 - ((sqrt(304) - (sqrt(304) + sqrt(304) + sqrt(304) + 1) - sqrt(304) - sqrt(304) - sqrt(304)) + -1)*6)**2.\nAnswer: -618240 - 14976*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 20056.\nAnswer: 18050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.0537\nAnswer: -0.1074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(77))\/sqrt(7) + 4.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7 - (18 + -16 + 8 + -12 - 50)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 101?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -50894113.\nAnswer: -4\/50894113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 867\/(-34)) + (-2)\/4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**7\/140 - 25*v**4\/24 + 13*v**3\/3 + 12*v. Let i(g) be the second derivative of p(g). Differentiate i(x) with respect to x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 - 2*p**3\/3 + 13*p**2\/3 - 10*p\/3.\nAnswer: -p*(p - 2)*(p - 1)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 4*h + 5. Let j(f) = -f + 1. Let m = 730 - 700. Suppose 0 = m*l + 15 + 15. Determine l*g(y) + 4*j(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 5*f**8\/336 + 3*f**7\/2 - 8*f**6\/3 - 702*f**2 + 3. Find v, given that s(v) = 0.\nAnswer: -64, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {f: 5, n: 4, k: 1, u: 1, c: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -355, -367, -399, -457?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101 - 100110110011100?\nAnswer: -100111101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smxmxfxffmxdjffsxjf. What is prob of picking 2 m, 1 s, and 1 j?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0 + 15*b + 1 - 20*b. Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 0 = -6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121281213?\nAnswer: 3, 17, 439, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8.1 (b) -7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 2. Let i be x(5). Let a(n) = n**2 + 61*n - 4618. Let w be a(44). Solve w*k = k + i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 + -2 + -6 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 4130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 13. Let z = 155 - 149. Give d(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1013 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1616, 1447, 1164, 767, 256, -369?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(3\/15) + -24*(-154)\/336.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and 1307013 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2. Let u(t) = t. Let f(y) = -5*y**2 - 3*y. Let i(v) = f(v) + 3*u(v). Determine h(i(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199069 - 142032. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-4) - (-5)\/(-20). Suppose 3*g = -4*s + 55, -r*s - 4*g + 60 = -s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03985 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7*f = -8*f + 5, -4*f = -5*q - 13. Which is greater: q or 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -44210\nAnswer: 4\/22105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*j**3*v**3 + j**3 + 2*j**2*v**3 - 152*j*v**3 wrt j.\nAnswer: 60*j*v**3 + 6*j + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 11*j**2 + 4*j - 190. What is q(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 - 9*c**2 - 145*c + 153 = 0.\nAnswer: -9, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - ((-104)\/(-13) - 3)) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 418681 - -12522. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3*l**4 + 2 + l + 0*l**4 to m + b*l**4 + d*l + z*l**2 + v*l**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -475, 0.13, -1\/10, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/13 - (1200\/52)\/6. Put 6, k, 4 in descending order.\nAnswer: 6, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/(3\/(-30)). Suppose -a + y*a - 88 = 0. Solve 2*o - a = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*222.\nAnswer: 6882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(2\/5)\/q))**(10\/3)*q**(2\/11)*q**(-2\/11)\/q)\/((q*q**(-1))**(-22\/5)*q**5\/q*q**0) assuming q is positive.\nAnswer: q**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5366*z = 1632*z + 10892*z + 1248*z - 1071728 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25481?\nAnswer: 83, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 3\/8 (c) 26 (d) -0.4 (e) 9 (f) -5 (g) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*f - 10977 = 0, 369*g - 32895 = 366*g - 3*f. Calculate the highest common factor of 39 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101 (base 2) in base 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)\/(3\/12). Let s(y) = 2*y + 1. What are the prime factors of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 1304988.\nAnswer: 5219952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 + 4*k**2)*(-9*k - 13 + 26 - 13).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/25))\/c*c**(-2\/5))\/(c**(-4)*c**7\/c)*((c*(c*c**0\/c)\/c)**(18\/11))**(2\/29) assuming c is positive.\nAnswer: c**(-62\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3 + 3)*(477*p + 2 - 477*p - 7*p**2 + (3 - 3 - 1)*(-3*p**2 - 2*p**2 + 4*p**2)).\nAnswer: -18*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + f = -36, -4*v = -v - 4*f - 64. Suppose 11*c - v*c + 7355 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145 - -140?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -25*o + 6720. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/74027 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 + 7*p - 4. What is s(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 110, -4\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 1339*115\/1495.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 46 = 34 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45346452 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 0.1, 488, -127\/8, 1.\nAnswer: -127\/8, -8\/3, 0.1, 1, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h - 10 = 0. Let w be (2 + 8)*h\/(-5). Let n(b) = -b**2 + 7*b - 6. List the prime factors of n(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5*m + 1808 = 0. Let i = 1411 + m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*r + 441*r**2 - 9 + 297*r + 12.\nAnswer: 441*r**2 + 206*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Suppose 265 = 5*g - 245. Let z(s) = s**2 - 102*s + g*s. Determine z(h(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.336 + 33.6.\nAnswer: 33.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 29*z + 145. Let a be r(-12). Let i = 347 + a. Solve 0 = -2*f, f = 2*b - i*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186094, 186080, 186052, 186004, 185930, 185824, 185680?\nAnswer: 185492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*z + q + 2*q, 4*z - 4*q = 12. Suppose 39 = 4*c - f - 38, 5*c - 96 = f. Let j = c + -15. Calculate the lowest common multiple of j and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37536556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13954 = -563*z + 1512*z + 14540 + 25986 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237 - -148. Let m = -86 - z. What is the second biggest value in -3\/8, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -886 - -889. Let s(q) be the first derivative of 4*q**2 + 4\/3*q**n + 0*q - 9. Find the second derivative of s(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 16. Let v be h(6). Let a(d) = -8*d + 18*d + d**3 + 4 - 6*d**v - 2*d**3 - 7*d. Give a(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(216))**2 + (2*3*sqrt(121) + sqrt(121) + sqrt(121))\/sqrt(11).\nAnswer: 11\/36 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36140424\/77 < 469356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11493 - 6892. Calculate the remainder when d is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439688 <= -439688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (-1 - 1135\/5)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*z, 3*g - 5*z - 49 = -0*z. Suppose -3*d + 44 = 5. What is the remainder when d is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 2 q when four letters picked without replacement from grqrqghggqr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y**2 + y + 6. Let g be x(7). Let n be 24\/(-15)*20\/(-8). Suppose g + 6 = n*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/2? (a) 2 (b) -3\/4 (c) 6\/17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21301 + -70.5?\nAnswer: 21230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 46 = d, -7*n = -4*n - d - 18. Let p(i) = -i**2 + 3*i + 4. Let a be p(3). Solve a*s = 12 - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/10 + 24*c**3\/5 + 5643*c**2\/5 + 222156*c\/5 + 5282739\/10.\nAnswer: -(c - 147)*(c + 33)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064.693 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/20)*t*t**(4\/3)*t)\/(t**(1\/13))**(-38))**(-36) assuming t is positive.\nAnswer: t**(-14757\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g - 35 = 0. Let o = -1 + g. What is the greatest common factor of o and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.82275 - 1.02275. Suppose x - 6*x = -5*y + 10, -x - 8 = -3*y. What is the nearest to c in 0.1, y, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/m**6*(m**(1\/3))**(-3\/13) assuming m is positive.\nAnswer: m**(-170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1408 + t + 695 + 707. Calculate u(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/27*-3 + (-2072)\/(-72). Let u be (4\/5)\/((-4)\/(-10)). Let -17*g**3 + 2 - 2*g**3 - k*g**3 + 44*g**u - 16*g + 0*g**3 + 18*g**4 = 0. Calculate g.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 14. Calculate the remainder when j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 349*k**2. Let q(a) = 9*a. Calculate v(q(l)).\nAnswer: 28269*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - (14 + 8 + -6 + -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2353 (base 14) to base 4\nAnswer: -1200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1218 - 1213. Solve q = -16*c + 11*c, 3*c - m*q = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*z - 28, 5*l - 3*z - 15 = 22. Suppose 0 = l*b + c - 4 - 20, 4*b + c = 19. Solve 0*k + k = -b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*w**2\/2 - 16768*w + 1720.\nAnswer: -(w + 860)*(39*w - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 652694 and 4186.\nAnswer: 8485022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7900.631 hours to minutes.\nAnswer: 474037.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 173*x + 24. Determine u(-17).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64581 divided by -5871.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11994735 divided by -4\nAnswer: -11994735\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -16*t**5\/7 - 3298724*t**4\/7 - 10720744*t**3\/7 - 12370048*t**2\/7 - 5772680*t\/7 - 824668\/7 = 0.\nAnswer: -206167, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 50*g + 1094. Determine t(-16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3132 (b) -5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*q + 103, -5*u + 40*q = 44*q - 247. What is the remainder when u is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11418131 (base 10) to base 9\nAnswer: -23432652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba - 5?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794800 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**4 + 2 + 55952*z**3 + 2*z - 55952*z**3 as p*z**4 + c + v*z + a*z**3 + t*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 3738798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44109 divided by 44\nAnswer: 44109\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 42 = 182. Suppose 0 = -d*t + 4564 + 1288. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 4. Let t be (-3)\/(2 + (1 - 2)). Let o be l(t). Let h be (-2)\/1 - (o + 2497). What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Let j be (p\/10)\/((-3)\/15). Let r be (-1)\/j*(-4)\/(-9). Which is the second biggest value? (a) -0.2 (b) -1.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6183108432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 2*w. Suppose -2*i - 49 = -5*v, 0*v + w*v = 3*i + 24. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14507756*h**2 + 14507754*h**2 - 4 + 4 - 29015513*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6336*z + 122496 = -1232*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**3 + l**2 + 1. Let v(n) = -2047*n**3 - 6*n**2 - 2373. Let s(o) = -6*t(o) - v(o). What is the first derivative of s(d) wrt d?\nAnswer: 6051*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13999*k**5 + 2*k**4 + k**3 + 50294951*k**2.\nAnswer: -839940*k**2 + 48*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 521 - 52 - 5565*z**2 + 5564*z**2 to the form l*z**2 + x*z + j and give j.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {h: 3, d: 1, o: 6, i: 3, l: 3, q: 1}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 + 32*k**2 + 0*k - 2\/3*k**3 + 1\/3*k**4 - 53\/60*k**5. Find the second derivative of c(g) wrt g.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -735*m + 694*m + 164 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*u - 390, 4*u + 35 + 171 = -n. Let p = 486 + n. Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 11*x**2 - 28*x + 31. Let r be y(13). Find the third derivative of 45*s**2 - 5*s**6 + 3*s**5 + 2*s**5 + s**6 - 3*s**r wrt s.\nAnswer: -480*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 395940 and 13593940?\nAnswer: 40781820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + (-33)\/(-6))*2. Which is the smallest value? (a) -0.1 (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 4*a = d - 20, -11 = 3*d - a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*b - 7248, 14 = -b + 11. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*v - 196 = -2*v, 4*w + 2*v - 728 = 0. What is the greatest common divisor of 36 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) + 442\/(-595).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*c**5 - 3*c**3 - 7*c**2 + 7*c + 2.\nAnswer: 4200*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 332560 divided by 16\nAnswer: 20785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -210, -322, -436?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s**2 - 543*s - 181. Determine a(-21).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 666.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2. Let t(u) be the first derivative of 0*u**2 - 2 + 0*u + 1\/3*u**3. Give r(t(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34758 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/((-4)\/(-20)). Suppose u - 6*u + b*m + 175 = 0, 0 = -5*u + 4*m + 185. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24667 = 1921*q + 23358 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 7. Let h be (-58)\/(-18) - (-2)\/q. Suppose -h*g = 143315 + 2016685. Round g to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, -5, 2, 16\/5, -0.4, -1\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*7999.46\nAnswer: -7999.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5\/5 + 212*c**4\/5 - 888*c**3 + 21616*c**2\/5 + 12544*c = 0.\nAnswer: -2, 0, 14, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3\/3 - m**2\/2 - m - 110. Let r be 38\/7 + (-10)\/(-105)*6. Let k(h) = 7*h**2 + 6*h + 6. Calculate r*b(i) + k(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 = 4*w + w, 0 = -2*w + 2*b - 18. Let o(t) = 5*t + 5. Let i(n) = n**2 + 6*n + 6. Give w*o(l) + 5*i(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, d: 6, i: 1, k: 3}. What is prob of picking 4 d?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = s + 5, 8 - 7 = -s - v. Factor 2\/5*p + s - 2\/5*p**2.\nAnswer: -2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0616 times -2.1\nAnswer: 0.12936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 924\/98 + -10 - 37\/(-28). Let m(j) be the first derivative of 0*j + 0*j**3 - 4 - 1\/18*j**6 + 0*j**2 - p*j**4 - 2\/5*j**5. Let m(v) = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 4, g: 2, h: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 4472172.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7162 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -560671, -1121602, -1682511, -2243386, -2804215?\n\"Answer: 2*a**3 - a**2 - 560942*a + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**2 - 2 - 2*f**2 - 11*f + 3. Is 3 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s - 60. What is j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -30, -70, -146, -270, -454?\n\"Answer: -2*z**3 - 2*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579 + 1205*a**2 - 832 - 1209*a**2 - 747.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-5)\/((-3825)\/66). Let c = 1\/17 - x. What is the second smallest value in c, -0.4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.73681 millennia to centuries.\nAnswer: 67.3681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*n + n + 9, -n = 2*i + 1. Let v = 0.27 - 0.34. Let d be (-52)\/(-9) - 12\/(-5 + 7). Put v, d, i in decreasing order.\nAnswer: v, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -91. Let c = 63 + z. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4435 greater than or equal to -4435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.7. What is the closest to 1\/2 in -5, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -458*w + 445*w + 34 - 99 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b + -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*g**3*n**2 + 1630*g**3 + 3*g**2 - 2*g*n**2 + 7*g*n - 58*n wrt g?\nAnswer: -174*n**2 + 9780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00145893 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784942 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*z**2 - 16*z**2 - z - 18*z**2 + (2 - 2*z - 2)*(0*z + z - 2*z).\nAnswer: -3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-412)\/2369*(-2)\/(-4)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (93\/(-3) + 0)*-3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5408964 and 43\/11063790.\nAnswer: 243403380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 0.2. Let s be 2\/(-4)*(-12)\/(-18). Let r = 0.06 + -2.06. Which is the nearest to s? (a) -2\/7 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3524 or 3526?\nAnswer: 3524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -694, 0.1, 0.2 in descending order.\nAnswer: 0.4, 0.2, 0.1, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 7, c: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 13*h - 5. Let d be a(-7). Suppose -d*p + 2*t + 152 = 0, -4*t - 10 = t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/1050 - a**6\/300 + a**4\/60 - a**3\/30 + 4*a**2. Factor y(g).\nAnswer: (g - 1)**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = k - 6, 0 = x + 4*k - 6*k - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h + 210. Let k be q(-11). Is k bigger than -1\/4673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**3 + 0*g + 0*g**5 + 1\/120*g**6 - 1\/12*g**4 + 2*g**2 + 0. What is the second derivative of c(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169 (base 15) in base 3?\nAnswer: 200222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) -8 (c) -32\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - 66\/22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35200 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*j + 9 = 0, 11*j - 6*j = 4*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-9))\/(((-5)\/(-3))\/((-35)\/21)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 10*w = -231. Are -21 and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 - 3788575*w\/4 - 4735725 = 0?\nAnswer: -5, 3788580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + -3 + 43\/4. Solve 2*o - l = n + o, 0 = -5*n + 4*o - 33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-15)*142205\/12189\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55439196 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 = 3 - -7. Suppose -3*z = -2*k - 12, -k + 0*k - 20 = -5*z. What is the greatest common divisor of z and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + v - 109 + 115, -v = -4*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9681 times 5?\nAnswer: -48405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 206*y - 5. Let f(d) = -d**3 + 9*d**2 + 3. Let w(m) = 3*m**2 + 2*m + 1. Let v be w(-2). Let t be f(v). Is g(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10) - 84\/(-30)) + -3. Let h = 0.513 - 0.013. Which is the fourth biggest value? (a) 0.3 (b) h (c) u (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*a = -65*a + 12. Let b(y) = -5*y**2 - 1. Let p(n) = -10*n**2 - 2. Calculate a*p(w) - 7*b(w).\nAnswer: 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckubbuczkkzd. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -65*i**3\/2 - 60*i**2 - 45*i\/2 + 5 = 0.\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 28 = 36*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313 + 309. Put 1, -5, n in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221389?\nAnswer: 7, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1446 and 687.\nAnswer: 331134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8524, 17028, 25532, 34036, 42540, 51044?\nAnswer: 59548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 1.2. Let k = p - 1.2. What is the nearest to 2 in -2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60471?\nAnswer: 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*q = -0*g + 12, -14 = -3*g + 4*q. Let x(v) = 3*v**2 - v - 2. Give x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let z(y) = 50301481*y. Calculate t(z(g)).\nAnswer: 2530238990793361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + -55. Let u = 121 - x. Solve 2*y + 3*n = -u, 2*y - 4*n = -0*n + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5283 + 6?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 3104274.794.\nAnswer: 3104275.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*s + 1 = 6, 4*c - s = -1. Suppose 2*n = -5*l + 185, 8*l - 12*l - 3*n + 148 = c. Which is greater: l or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50109121.4 to the nearest 100000.\nAnswer: -50100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11812*g + 413235. What is w(-35)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 19 = 2. Suppose d*t - 968 = -338. What is the remainder when t is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-100)\/(-6))\/((-10)\/(-15)). Suppose w = u + 2. What is the greatest common factor of u and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddpddddpd. Give prob of sequence pddp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -387*o + 301. Let a(g) = -389*g + 302. Let y(k) = -5*a(k) + 6*b(k). Differentiate y(j) wrt j.\nAnswer: -377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4863789\/23 greater than -211469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 2730. Suppose -z = -3*h + h. Suppose -i = 4*i - h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 21220111?\nAnswer: 21211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 84*o + 2077. Let b be t(-23). Solve 118*p - b*p = 135 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = 76 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 + 2*u - 5. Let m(j) = 11*j**2 - 4*j + 9 + 0*j + j**3 + j**3 - 4*j**3. What is -6*m(a) - 11*o(a)?\nAnswer: a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 33*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - 3*x**2 + x - 2. Let f be a(5). Suppose -3*t - 71 + f = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = -4*o, 4*j - 3*o - 7 = -8*o. What is the tens digit of 3 + 14 - (j - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 23*k**4\/24 + k**2 + 434*k. Let r(t) = -3*t**2 + 38 - 38. Calculate d(r(w)).\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 12*a**5 + 8*a**5 + (-a - 4*a + 0*a)*(2*a**2 + a**2 - 5*a**2)*(17*a**2 + 42*a**2 + 3*a**2).\nAnswer: 619*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 6, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -w - 2*w. Let s = 6 - w. Let a = s + 17. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 + (9 - 7))*-7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1880516, 3761033, 5641550, 7522067?\n\"Answer: 1880517*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 561 + -985. Let a = q + 557. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10301606*p**2 - 2712001*p wrt p.\nAnswer: 20603212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 135. Let q be n(-34). Is (7\/14)\/(q\/7114) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r*(r*r**(5\/3))\/r)*r*r**(2\/7)*r)\/(r**5\/r**(-18)))**(-2\/41) assuming r is positive.\nAnswer: r**(856\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.6. Let d = -14 + 26. Let m = 11 - d. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)*(-3)\/(-2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6 = 3 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 12. Suppose 2*t = -2*b - 0 - 16, t + 20 = -5*b. Let m be (t - (-4 - -4))*-1. Let h be r(m). Solve h*y - 18 = 3*u, -16 = 2*u - y - 2*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28466 is divided by 3140.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-224)*2*(-2)\/(-120))\/(244\/(-610)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -31*q**3 + 236*q**2 - 388*q - 69. What is i(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjoitstiwsiwijjssss. What is prob of sequence jj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w)**(3\/10)*w**4\/(w**(-3)*w)*(w**(-1\/3)\/w*w**(3\/2))\/((((w*w**5*w)\/w)\/w)\/(w\/(w\/(w*w**(-3\/7))))) assuming w is positive.\nAnswer: w**(214\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*v + 128, 0*v - 16 = -4*v. Let l be ((-15)\/(-2))\/((-45)\/(-30)). Suppose c - n = -l*c. Solve 18 = c*a + 2*d, -4*a - d = a - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r + 2. Let g(i) = -27*i + 7. Let a(u) = 2*g(u) - 7*w(u). Let b(z) = 40*z - 40*z + z**2. Give a(b(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 522, 496, 434, 318, 130, -148?\n\"Answer: -3*g**3 - 5*g + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = 14*b + 540. Suppose 5*h - 655 = 95. What is the highest common factor of b and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12696 from -2220.\nAnswer: -14916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*p + 146*p - 145*p in the form w*p + j and give w.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*i - 709 + 583 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -47 + 43 + (-2 - -13) + (-158)\/22. What is the nearest to -3 in -43, 4\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11478256 is divided by 11478241.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046, 1108, 1192, 1298?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11870, 23399, 34918, 46421, 57902, 69355, 80774?\n\"Answer: -k**3 + k**2 + 11533*k + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30397 - 18184. Suppose -26*t = -p + 3971. What are the prime factors of t?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.07 (b) 3 (c) -0.7 (d) 2\/2045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 526, 1791, 4260, 8335, 14418?\n\"Answer: 67*x**3 - x**2 - 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 26. Let l be f(0). Suppose -q - 8 = -l. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 4*d + 2*d)*(2*d**3 + 0*d**3 - 3*d**3)*(0 - 2 - 5) to h*d**3 + a*d**2 + p*d**4 + y*d + s and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(-3*o - o + 0*o - 2) as x + t*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 462 = -3*b, 3*x + 5*b - 9*b = 1411. What are the prime factors of x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207480671*x**3 + 63117*x**2 + 121*x + 1 wrt x?\nAnswer: -1244884026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/16 + 8\/32*-4. Let -1\/4 + 3\/4*s - 1\/2*s**2 + v*s**4 - 1\/2*s**3 - 1\/4*s**5 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 0. What is the remainder when (-3 - 0)\/(6\/(-68)) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*w = 15, 3*p + 8 = 2*w + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137372580 and 3060.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-24)\/6) + -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -357 in 1\/3, 5\/4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egegggggggg. What is prob of sequence geg?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -986 + 2962 - 9*z - 4*z - 978 - 988 as q + x*z and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 24. Determine o(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**3 + z**2 + 0*z + 2 - 1\/120*z**5 - 1\/24*z**4. Let a(r) be the second derivative of v(r). Determine o so that a(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/119 + 4\/14)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-21)))\/l**20)\/((((l\/(l\/(l**(-30)\/l)))\/l)\/l)\/l**(-1\/2)))**1 assuming l is positive.\nAnswer: l**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(95) - (sqrt(95) - (-1*sqrt(95) + sqrt(95)))*-4)\/(-6*sqrt(15)\/(sqrt(3) + -3*sqrt(3)))*2.\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-17 + 8)) + (-1 - -1) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24592 + 2857. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 330 = -89*z. Let u be (-96)\/20 + (-1)\/5. Sort 0.7, z, u.\nAnswer: u, 0.7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 25. Suppose -5*k + 2 + l = 0. Solve 6*b - 16 = 2*b, k*c + 16 = 5*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10390643*h**2*x - 2568*x + 1362 wrt h?\nAnswer: 20781286*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 6. Suppose -n - 8 = -5*n. Let j(k) = 11*k + 44. Let r(y) = -3*y - 11. Let d(b) = n*j(b) + 9*r(b). Give -4*d(s) - 7*i(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*f - 346053 = 2423*f + 423*f for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -114.5. Sort -0.1, z, 4, 0.5.\nAnswer: z, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67\/80 + 7\/16. Let x be (1539\/(-6))\/9*-2*-1. Which is the closest to d? (a) x (b) -4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(44) - sqrt(11)) + 2).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -8. Let d be 4*h\/((-24)\/(-15)). Solve c = -3*g - 19, 0 = -5*c - g + 3*g - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -59. Let r = 8 + -8. Let j = r + 3. Solve -5*h - 36 = -4*f, j*f - i = 4*h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5090 - 10496. Let y = 47159\/11 + -4283. Find the common denominator of k\/68*1\/12 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.678494521 rounded to 3 dps?\nAnswer: 2.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1577725 + 16*x + 3155362 - 1577637.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2307 and -0.05?\nAnswer: -115.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 17. Suppose 17 = -3*g + 2*j, g + 15 = -3*j - j. Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 39 = -2*c - 13, 3*v - c - 12 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3462, -5 in decreasing order.\nAnswer: 3462, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -68) + (-6252)\/142?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxoboxxxkkxo. What is prob of picking 4 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4456154 is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -6\/23 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(2\/13)*f)\/f)\/f)\/f*f)\/f**(3\/2))\/(f**(-2\/9)*f**(3\/2)) assuming f is positive.\nAnswer: f**(-424\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = -8. Suppose -h*v = -3*w + 4, 0 = -4*v - 3*w + 5*w. Let c be ((-9)\/(-6) - 2)\/v. Sort c, -2, 0 in descending order.\nAnswer: 0, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.7. Let o = -0.04 + 5.04. Let c be (3\/(-2))\/(-5 + -1). What is the nearest to c in -0.4, l, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -55, -5, 5 in increasing order.\nAnswer: -55, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((1 + 2)\/3). Suppose k = 3*v + 5*t + 4 - 1, 3*t - 3 = 3*v. Let r(l) = l. Let o(a) = a**2 + 4*a. Let m(f) = v*o(f) + 2*r(f). What is m(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(2) + sqrt(72)*-1)**2 - sqrt(24)\/((2*sqrt(108))\/sqrt(9)).\nAnswer: 39*sqrt(2)\/2 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/((g\/(g*g**39))\/g)))\/((g**(-36)\/g)\/g))\/((g*g\/(g\/(g\/(g*g**(-1\/14)*g))))\/g)**(1\/2) assuming g is positive.\nAnswer: g**(-71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 440535870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 - 6*c + 6. Let f(h) be the second derivative of -h**5\/20 - h**4\/12 - h**3\/6 + h**2\/2 + 102*h. Give -6*f(x) + p(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 81 - 67 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6619881 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4*(-4)\/32). Let m = 375 + -1869\/5. Factor -2\/5*t + 0 - 6\/5*t**x - 2\/5*t**4 - m*t**3.\nAnswer: -2*t*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2\/7 - 4745480*j\/7 + 1407473776900\/7 = 0.\nAnswer: 593185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + (-276)\/(-90)*6. Let r be ((-12)\/n)\/((-1)\/9). Suppose 0 = -r*k + 176 + 346. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14953052?\nAnswer: 2, 61, 61283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43178, 86313, 129448, 172583, 215718, 258853?\n\"Answer: 43135*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 3*r. Let s(p) = p. Let q(u) = f(u) + 3*s(u). Let k be (-3)\/((6\/(-8))\/1). Let d(m) = 5 - 5 + k*m**2. What is d(q(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 2, -84, -1 in descending order.\nAnswer: 3, 2, 0.3, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 2*u + u - 5*u + 3*u + 4*u + (-89 + 89 - 21*u)*(3 - 6 + 4) + 0*u + u + 0*u in the form h*u + b and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27579851*l*o**2 + 5158375*l - o**2 wrt o.\nAnswer: -55159702*l*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79747 is divided by 96.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q**4 + 8*q**3 - 207*q**2 - 297*q - 108 = 0.\nAnswer: -3, -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 47 = 77. Which is the closest to m? (a) -3 (b) 2\/7 (c) -668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3856 - 6491 - 1960 + 849)*(0 + 0 + h**2).\nAnswer: -11458*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 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: Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) + -1*(1*sqrt(70) + sqrt(70)) + sqrt(70) + sqrt(70) - sqrt(70))))\/(-1*sqrt(10)*-5) + 2)*6.\nAnswer: 12*sqrt(7)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100100101111 - 1010100?\nAnswer: -111100110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m + 25. What are the prime factors of k(-26)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27126*c - 5718*c + 2066*c.\nAnswer: 23474*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a7 (base 15) to base 3.\nAnswer: -211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211686 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4549 is divided by 490\/(-56)*440\/(-77)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82111407.\nAnswer: 3, 7, 19, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3042662 and -1.432.\nAnswer: 3042660.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 15) to base 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 31, 54, 93, 154?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12da (base 16) in base 15?\nAnswer: -166b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, a: 5}. What is prob of sequence aa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 913, 1822, 2729, 3634, 4537, 5438?\n\"Answer: -m**2 + 912*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -91, -269, -549, -925, -1391, -1941, -2569?\n\"Answer: h**3 - 57*h**2 - 14*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(32*v + 4*v + 25*v) - v + 2*v - 2*v to the form r + u*v and give u.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 1268*p + 200978.\nAnswer: 2*(p - 317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 10*j - 108 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11370925 divided by -4?\nAnswer: 11370925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggsggsgg. Give prob of sequence ss.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3 - i + 0*i - 2 + 3*i. Let c(t) = -3*t - 1. Determine 5*c(q) + 7*v(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - e1e?\nAnswer: -e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - -4)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 110101110001001?\nAnswer: -110101110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154709902*h**3 - 50765*h**2 + 432*h + 1 wrt h?\nAnswer: -928259412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-1)\/(-11)*1*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 - -165. Suppose 0*j + 14 = j - f*g, 5*j - 35 = 3*g. Solve -b = -4*b - 3*i - 6, -b - 8 = j*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12274 = -2*v + 3*j, -2*v + 10670 = 5*j - 1636. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-18))\/((-5)\/(-20)). Let h be (2 + -3)\/((-18)\/4). Find m, given that h*m**4 + 0 + n*m**3 + 0*m + 0*m**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88922*p + 79629?\nAnswer: -88922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l - 4 - 4*l - l. Let r be t(5). Let m(q) = q - 9. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -4, 2, 0, 5 in increasing order.\nAnswer: -4, 0, 2, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 7. Let l(q) = 8*q + 60. Let n(r) = 2*r + 15. Let m(h) = 2*l(h) - 9*n(h). Suppose 2*i - 24 = 2. Calculate i*f(c) - 6*m(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 + 2*u**3\/3 - 4*u**2 + 2*u. Let n be j(-6). Find the common denominator of (-8)\/n - 73\/(-7) and -19\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 39. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2510698 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-1)*(-4)\/(-14). Suppose 3*z + 1 = 3*g + 7*z, c = 4*g + 5*z. Solve -8*n**3 + 9*n**2 + 60*n - 6*n**2 - 12 - 2*n**3 - 5*n**g = 0 for n.\nAnswer: -2, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.2 + -9. Let z = m + -0.2. What is the nearest to -8 in 1, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*24\/36 + 294\/(-75). Let r(z) = z**2 + 1. Let l be r(1). Suppose j = -l*j. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1974504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 39982493*i**2. Let l(c) = 3*c. Give l(z(q)).\nAnswer: 119947479*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 802474801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4790, -4792, -4794, -4796, -4798?\n\"Answer: -2*f - 4788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 3*q + 2. Let y(t) = t + 3. Let k be y(0). Suppose -k*j = 4*c + 8, -4*c + 3*j = -0*j - 16. Let o = c - 5. Calculate r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Let s be 1\/(-1 - x\/(-2)). Suppose 2*a - s*n = 3*a - 17, a = -3*n + 12. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 22*a + 173. Let u be n(-6). Solve -u + 13 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:31 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 19898 - 74447 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k. Let d(n) be the third derivative of n**5\/60 - n**4\/8 - 3*n**3\/2 - 14*n**2. Let y be d(5). Calculate c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 30*u**2 + 249*u - 306. Calculate f(20).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 + 6*u + 54. Let k(p) = -p - 9. Let y(l) = f(l) + 6*k(l). Let b(x) = -6*x + 7. What is y(b(h))?\nAnswer: 324*h**2 - 756*h + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*-2*(sqrt(200) + -4 + sqrt(200)) - (2*1*-3*sqrt(200))**2))*-6.\nAnswer: 1200*sqrt(2) + 42930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-1350)\/175)*2*9*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from zst.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20 and -107\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8060)\/780 + (-1)\/(2\/(-18)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 + 5*s**6 + 7*s**2 + 2*s**6 + s**2 wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/55)*q**(-17\/2) assuming q is positive.\nAnswer: q**(-933\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as -0.05093426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039393 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d + 23*d + 2*d. Let s(t) = 7*t**2. What is m(s(g))?\nAnswer: 224*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5632)\/(-8448)*-51*(-1)\/(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176232 (base 11) in base 15?\nAnswer: 2a5692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.51 - 64.51. Put 1, -184, y in increasing order.\nAnswer: -184, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let t(a) = 52*a - 12. Let c(m) = 2*m + 4. Let f(w) = 3*c(w) + t(w). Calculate d(f(z)).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.926958, -3, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.926958, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173830001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, -1\/1177, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12903742*m**5 + 8736781*m**2?\nAnswer: -774224520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from {r: 5, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 25093.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 63 - 6 = -5*y, 0 = -4*y + d + 48. Let z = -10 + y. Suppose z*v = -3*k + 21, 4*v + 2*k - 6*k - 36 = 0. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3 - 2*k + 271. Determine f(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3\/5 + 489*l**2\/5 - 384*l + 1908\/5 = 0.\nAnswer: 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/3 - 95140*x**2\/3 + 95143*x = 0.\nAnswer: -95143, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(2079\/66)*(-2 - (-483)\/14).\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(10) - (sqrt(343) - sqrt(7))*-1)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 2, u: 10}. Give prob of sequence cuku.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.5. Let y = 0.14 - 4.14. Which is the third smallest value? (a) 0.4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-6))\/((-3)\/16). Let i be (y\/(-10))\/((-6)\/30). Let k(u) = 2*u**2 - 5*u - 3. Is 9 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06492 - 3.93508. Which is the biggest value? (a) -10\/3 (b) 29 (c) 1\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*y - 3429 = -21120, -29506 = -5*x - 2*y. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28774802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*a**4 + 29*a**4 + 21*a**4 + 38*a**4 + 77 wrt a?\nAnswer: 256*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/15*(-3)\/((-9)\/(-15)). Let l(g) = -5 + 4 + b - g. Let j = 66 + -59. Calculate l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**2 - 32*t + 132. Is k(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47926*u**4 - 40*u**3 + 38*u - 234461973 wrt u.\nAnswer: -191704*u**3 - 120*u**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11244 and 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -10, -0.339?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15934835369 - 15933866088.00068. Let c = q - 969301. Let l = c + 20. Round l to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**4\/12 - s**3\/6 - s**2\/2 - s + 1477. Determine j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1 = -15, 4*y + 2*n + 20 = 0. Let h(x) be the first derivative of -13*x**2\/2 - 3*x - 2. Is h(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 - 20*s**2 - 8*s + 3. Let l(x) = 11*x**3 - 38*x**2 - 17*x + 7. What is 7*b(w) - 3*l(w)?\nAnswer: 2*w**3 - 26*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/4 + -4)*14\/84. Which is the nearest to -3.6? (a) 3\/7 (b) 2\/5 (c) s (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/78215? (a) -43 (b) 43 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(418\/(-76))*(-8)\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 63 = -33. Suppose 207 - 207 = -5*z. Calculate the remainder when (z + -1)\/((-24)\/1704) is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 18. Suppose 8 = 4*x + 2*m, a = 4*x + m - 2*m. Find the third derivative of 3*n**3 + n**3 + 3*n**2 + x*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2 + (-2 + 0 + 0)*(-3 + 3 + 2))*(3*z**2 - 4*z**2 + 3*z**2) to the form o*z**2 + m*z + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/3 - 163*k**4\/3 + 9049*k**3\/3 - 62719*k**2 + 290610*k + 356400 = 0.\nAnswer: -1, 8, 45, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2094579138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 458*w**2\/3 - 133*w + 50\/3.\nAnswer: -(w + 1)*(w + 50)*(9*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2096+-167908466.3\nAnswer: -167908466.5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*i - 14, -2*i = 2*o - 0*i - 2. What is the second derivative of 9*g**5 - 13*g + 5*g**5 + o*g**5 wrt g?\nAnswer: 400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229188 - -70808. Suppose 5*s = 2*s + 12, d + s = -k. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 11*n + 11. What is the units digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -440462370 to the nearest 1000000.\nAnswer: -440000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from fnpppbfpypfppbfnnpnp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58957 + 14.\nAnswer: -58943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-24)*(-16750)\/(-17085)\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, 2, -2, 3, -138, 5.\nAnswer: -138, -18, -2, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -73. Suppose 7*p + c*p = 119. Suppose 3*z = -5*i + 78, -3*i + 52 = 3*z - 32. Calculate the remainder when z is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (22 + -22) - -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21893 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 35*n**2 + 30*n.\nAnswer: 5*n*(n - 2)*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4116581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 1003, 1115, 1151, 1087, 899?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 49. Solve -2*f + 5*m - 19 = -l, -4*m - 21 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7396071 micrometers?\nAnswer: 0.0000007396071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + -2 + 8. Let b(i) = i**2 - 2*i + 2. Let m be b(0). Suppose -m*r + r + l*q = -46, -4*q = 5*r - 259. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, m: 2, q: 3}. Give prob of picking 1 m, 1 q, and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-10)\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7276.185ml in litres?\nAnswer: 7.276185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4011304100314 + 1?\nAnswer: -4011304100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o**2. Let t = 94 - 75. Let i(m) = t*m - 7*m - 12*m - 4*m**2. Calculate i(j(n)).\nAnswer: -1156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16*h. Let o(u) = u**2 - 1. Let a(f) = 4*f**2 - 6. Let g(c) = a(c) - 6*o(c). Determine g(q(k)).\nAnswer: -512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*-1 + (20 - 11). Let k(s) be the second derivative of 6*s + 0 - 2\/3*s**p + 1\/3*s**4 + 0*s**2. Find the second derivative of k(t) wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 21705196.\nAnswer: 43410392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11092 = 4*h, 2*h - 13893 = -3*h + 2*b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.67 + 21.67. Which is the nearest to p? (a) -10 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-2)\/(-30)). Let q = -248 - -358. What is the greatest common factor of w and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1044 + -1826?\nAnswer: -286a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167707761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 7:43 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:37 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 125*r**6\/6 + 15*r**5 - 45*r**4\/4 + 5*r**3\/3 - 9. Factor l(h).\nAnswer: 5*h**2*(h + 1)*(5*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**2*t**2 + 2*g**2*t*y - 319*g**2*y + 2*g*t**2*y - 574*g*t**2 + t**2 + 37*t*y wrt t.\nAnswer: 20*g**2 + 4*g*y - 1148*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/4, 1, -5\/49, -18, 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rqrrrrwwrrqqw?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9850 divided by -3.\nAnswer: 9850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173 + -4?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 2001 - 401 = 30*d. Let c be 4\/18 + 852\/54. What is the highest common divisor of c and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/12240 and 19\/7140.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -3 (c) 9.95 (d) 3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m)*(-13*m - 7*m - 5*m)*(1 + m - 1).\nAnswer: 50*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 0*t**3 + 5*t - t**3 + 7*t**2 - 10. Let y be m(7). Let g(q) = 2*q - 5. Let p be g(y). Solve -28 + 12 = p*i + o, -2*o - 27 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*b + 15 = -85*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and 19883059.\nAnswer: 19883048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 + c + 2. Let t be w(-2). Suppose 0 = l - 2*l. Put t, 3, l in ascending order.\nAnswer: t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 720*y**2 + 2\/11*y**5 + 4050\/11*y + 0 + 3692\/11*y**3 - 16*y**4.\nAnswer: 2*y*(y - 45)**2*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -554\/1295 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -31. Let j be (0*i\/(-9))\/1. Suppose r = -2*l + 1673, l + 5019 = 3*r - j*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422 - -422. Which is the second smallest value? (a) 3\/5 (b) -0.3 (c) q (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 16. Suppose o = -3*o - 44. Let l(i) = -2 + 4 + 3*i + 1 - 4*i. Give o*l(g) - 2*c(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k + 52. Let l be h(-4). Suppose 5*j = 3*j + 4*b + l, b = -4. What is the least common multiple of j and -2 + (5 - (-3 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843556 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 = 2*r + k, 52 = 4*r - 4*k. Let n(v) = 1 + 4 + v - r. Let f be 2 + (4 - (-6)\/(-12)*-2). Determine n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4 + 2 + 1. Let o = 25 - 25. Let q be w(o). Are q and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6) - -1)*12. Let p(o) = 34*o - 772. Let m be p(24). Suppose -u*a = 16 - m. What is the remainder when 20 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2781 divide 1251103030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -1\/3*b**6 - 2*b**5 + 0*b - 4*b**4 + 8 - 8\/3*b**3 + 0*b**2. Factor g(a).\nAnswer: -2*a**2*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**3 - 162*v**2 + 4*v + 606. Let r(z) = 3*z**3 - 33*z**2 + z + 121. Let o(h) = 2*n(h) - 11*r(h). What is o(-39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + 3 - 3)*(-1 + 0 - 3) + (-4*w + 2*w - 2*w)*(-8 - 16*w + 8*w + 4*w) to the form s*w**2 + f + t*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 169?\nAnswer: 43264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 4. Let d(t) = t**3 + 3*t**2 + 2*t + 1. Let j be d(-3). Let a be s(j). Suppose -y - a = -3. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 78 = 0. Let k = h - 30. Suppose 7*y + 2*q = 2*y + k, 0 = 2*y - 5*q + 4. Solve 3*d - 21 = y*d + i, 4 = -4*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m**3 + m**3 + 2*m**3)*(-m - 3*m + 2*m)*(m + 4*m - 3*m).\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 8*b**2 - 13*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/11928 and 113\/42?\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137\/7, 1\/4, 2\/11, -10\/3 in decreasing order.\nAnswer: 1\/4, 2\/11, -10\/3, -137\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.8371 millilitres to litres.\nAnswer: 0.2318371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2039 (c) 0 (d) 1 (e) -0.2 (f) 4 (g) 3\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4.471 * -58748\nAnswer: -262662.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1149*l**2. Let i(f) = -55906*f. Calculate s(i(y)).\nAnswer: 3591177480564*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1175 + 687. Let g be (18\/16)\/3 + y\/(-64). Solve g*p = 6*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9587 or 9589?\nAnswer: 9587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 77. Suppose 816 + 427 = 4*v - 5*j, 2*v - u*j = 623. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h - 53*h**2 + 188*h**2 - 53*h**2 - 31*h - 101*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**2 - 92*c - 19. What is the remainder when t(8) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 53*x + 16314. Give r(-308).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4661\/(-395) + ((-132)\/(-15))\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-114.\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4776, -9543, -14306, -19065, -23820?\n\"Answer: 2*h**2 - 4773*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -0*i. Let h be (-6)\/2 + (-1 - i). Let o(g) = 2*g**2 + 7*g + 4. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - h + 4*h - 18 = 0, 2*h = -3*q + 22. Let v(y) = -y**2 + 11*y - 4. Let c be v(q). Solve -p - c = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/17 + 200*g**3\/17 - 198*g**2\/17.\nAnswer: -2*g**2*(g - 99)*(g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 192. What is d(-49)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48954189 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002863241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -964 and -259.\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -0.045 (c) 4 (d) -4\/649 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 17*g**2 + 56 - 112.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*s + 141, 3*s + 682 - 136 = 4*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55132421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 58102*w - 4*w**3 + 1 + 58745*w to r + f*w**2 + q*w**3 + i*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17085632, 34171265, 51256898, 68342531, 85428164?\n\"Answer: 17085633*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2126*o**2 - 2339*o**2 + o - o)*(o - o**2 - o) to w*o + z + v*o**3 + p*o**2 + g*o**4 and give g.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -648*u - 5531 + 19139 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489*m + 5*w = -490*m - 8, 0 = -m - 4*w - 7. Let a = -0.02 - 3.98. What is the smallest value in a, m, 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - 5*x**2 + 13*x - 9. Give k(3).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/324 and -43\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 323, -213, -125 in descending order.\nAnswer: 323, 3, 1, -125, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12*(-2)\/(-16)))\/((-84)\/(-1638))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -516, -154.9 in descending order.\nAnswer: -6, -154.9, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122416 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38a031 (base 11) to base 3\nAnswer: 1011011201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-581)\/595 - (11 + -6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 14*t - 136. Calculate c(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.4 (c) -0.571 (d) 2\/13 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1053, 2938, 4825, 6714, 8605, 10498, 12393?\n\"Answer: g**2 + 1882*g - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1760 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32594 - -70994. What is z rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 + i. Let o(a) = -a**3 - a**2 + 3*a + 2. Let f(l) = k(l) - o(l). Solve f(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 26 = 3*h, 3 = -3*q + 2*h + 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16*m**2 + m + 4. Let c = 2 + -7. Let w be b(c). Let a = 708 + w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-17\/5)\/(o**0\/o**(-1\/7)))**(-43) assuming o is positive.\nAnswer: o**(-9159\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 72*q**3 + 0*q**3.\nAnswer: -71*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5704 by -103842.\nAnswer: -2852\/51921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) - (-184)\/18. Suppose 9*h - 8*h = 3, -3*b + 102 = 4*h. Calculate the greatest common divisor of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 12*d**2 + 23*d + 35. Let j(q) = -q + 3. Let m(k) = -j(k) + u(k). Factor m(x).\nAnswer: -4*(x - 2)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykknyknkyynnkyyy. What is prob of picking 1 n and 1 y?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 7. Let n(m) = 46*m + 30. Let o(z) = 9*z + 6. Let x(g) = 2*n(g) - 11*o(g). Determine 4*c(d) - 5*x(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -24*s**2 - 6*s - 27. Let r(d) = 24*d**2 + 6*d + 28. Let a(q) = -3*p(q) - 2*r(q). Let u be a(-17). Is 7 a factor of u\/95 - (1\/5 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 d when three letters picked without replacement from {j: 11, t: 1, d: 5, r: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2427648 and 704?\nAnswer: 26704128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35355357*k**4 - 18054281.\nAnswer: -141421428*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 - 437. Let p be 2 + (-105)\/f + -6. Find z, given that 0 + 0*z + 0*z**2 - 1\/5*z**3 + 2\/5*z**5 - p*z**4 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaz when three letters picked without replacement from {l: 1, g: 2, i: 3, z: 3, e: 1, a: 3}.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -36) + 4 + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*3239\nAnswer: 11012.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-181)\/724)\/((-34)\/4))\/(1\/2)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 plus 3.415?\nAnswer: 576.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75012 by -21.\nAnswer: -3572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -56. What is the first derivative of 15*q**l + 2 - 53 + 0*q**4 + 2*q**4 wrt q?\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/70)\/((-693)\/(-770))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3459*l**2 + 12810873 - 12810873 + (l + l - l)*(-l + l - 2*l).\nAnswer: 3457*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79232, -158456, -237682, -316910, -396140, -475372?\nAnswer: -554606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 178?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - t + 0*t = 626, 2*r + t = 626. Let o = -307 + r. Solve -o = -4*h + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 10*k**2 + 3*k**2)*(5*k**2 - 2*k**2 + k**2)*(-1 - 1 - 2).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292 + 562. Let t be 1236\/l + 3*4\/54. Solve t - 28\/5*v**2 + 76\/5*v = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -3*y - 124. Calculate the greatest common divisor of 40 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 985 - 948. Solve -3*v = -j + 16 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 13*g - 23. Let b(m) be the second derivative of m**4\/6 - m**3 - 11*m**2\/2 - 16*m - 6. Determine 9*b(x) - 4*t(x).\nAnswer: 2*x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(m**5 - 5*m**5 + 5*m**5)*(2 - 5 + 8).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8803 - -8803.00004983. What is k rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*t = -1, 3*f + 3*t - 4*t = 15. Suppose -f*s + 6 = -2*s. What is the derivative of -8*i**4 - 35*i**3 + 35*i**s - 15 wrt i?\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 5\/2*x**3 - 12*x**2 + 0 + 0*x**4 + 1\/60*x**5 + 1\/360*x**6 + 0*x. Let w(c) be the first derivative of v(c). Factor w(h).\nAnswer: h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/11)*i**(-12)*i)\/(i\/(i**2*i)*i*i)**(-2\/15) assuming i is positive.\nAnswer: i**(-113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/420*-5)\/((-2)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 759.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((((-320)\/320)\/((-1)\/(-1)))\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(3 - 280\/94))\/3. Let f = -15 - k. Sort f, 4, 0.4.\nAnswer: 0.4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:01 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23575 + 23546. Let u = -0.8 - -1. Which is the closest to 1\/3? (a) -2\/5 (b) -1\/10 (c) w (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -ce?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*t = -6*t - 2, 2*t = -2*l + 2. Let c = l - -1. Find d, given that -2*d - 1 + d**2 + 0*d - 2*d**c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 0*c**2 + 7 - c**2 + 2*c**2. What is the common denominator of y(5) and 12*((-57)\/(-24) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878932614.\nAnswer: 2, 3, 7, 4153, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) -120 (c) 0.09 (d) 5 (e) -0.1 (f) 0.049\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and -3449443096.\nAnswer: -3449443073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11118 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2 - 7 + 30473*t - 30467*t. Determine o(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164326114?\nAnswer: 2, 7, 97, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, u: 6, j: 10}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let j = 1 + 6. Let u(w) = -w - j + 12 - 6. Suppose 3*s = -4*r - 13, 3*r = 2*s - s. What is r*u(f) + 2*v(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 141.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10299580.\nAnswer: 2, 5, 47, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 - 467. Let x = 413 + p. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 306 + 28*b**2 - 29*b**2.\nAnswer: -b**2 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1206215, 2412412, 3618603, 4824788, 6030967?\n\"Answer: -3*p**2 + 1206206*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -3*c. Let h be 132\/(-21) + c\/14. Does 14 divide ((-3)\/2)\/(h\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjm when three letters picked without replacement from {m: 1, k: 3, b: 5, c: 1, j: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*v + 0*v - 4 + v**2 + 11 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/24 - p**3\/6 + 4*p**2 + 5. Let v(m) be the second derivative of x(m). Is 3 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - 192*h**2 + 63*h + 505. What is p(38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/16)\/(2\/8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - -5. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75027 is divided by 75014?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -l - 56*k + 57*k, -6*k = -36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/6171 or -1?\nAnswer: -32\/6171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 27a052?\nAnswer: 27a04c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 25079\/19 and 1319 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415\/76 - 3\/76. Let h = -3695394\/23 - -160670. Find the common denominator of a and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**4 - 7*i**3 - 20*i**2 - 14*i - 5. Let v(l) = 3*l**4 - 7*l**3 - 19*l**2 - 13*l - 4. Let u(b) = 4*t(b) - 5*v(b). Factor u(r).\nAnswer: r*(r + 1)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 5635277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/56*(-12)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8292, -16710, -25128, -33546, -41964, -50382?\nAnswer: -58800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/78568 and -79\/1098?\nAnswer: 707112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 - 3*b + 6. Let a be c(4). Solve -5*i - 5*o + 10 = 0, 0 = -3*i + 2*o - 4 - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/6 - 2*w**2 + 2*w. Suppose 0 = -j + 5*j - 4*n + 28, 3*j + 5 = -5*n. Determine b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 - 248. Is h <= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (20 + -11 - (34 + -1 - (23 + -12)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -0*d. Let q(u) = 4*u**2 - 2*u - 2. Let t be q(d). What is the greatest common factor of t and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + i + 101, 4*d + 4*i = -0*i + 172. Calculate the least common multiple of 18 and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 = 3*u, 0*w + 3*u = 4*w - 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324\/1053*(-728)\/16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -41*l + 6. Let z(n) = 85*n - 11. Calculate 5*o(x) + 3*z(x).\nAnswer: 50*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161243716 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/7 (c) -4 (d) 9 (e) 0.06 (f) 17\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.91519 and 419027.49?\nAnswer: 419021.57481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.993 + 41\nAnswer: 38.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 2*m - 5*m)*(1 - 4 + 4) - m - 7*m + 4*m as r*m + q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -52*a - 1. Let p(m) = -47*m - 1. Let j(d) = -4*f(d) + 5*p(d). Determine j(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 w when three letters picked without replacement from {w: 1, p: 2, o: 1, g: 7, t: 5}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(175\/(-21)))\/(12\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/5 - -189\/10. Let q = x + -26. What is the closest to q in 1\/3, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2345859 divided by -781953\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46\/45 + 10*24\/(-300)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 - 5)*(2*o + 3 - 3) - 1 + 0 - 3*o + 2*o)*(55*o + 14*o**2 - 55*o) + (2*o**2 - 4*o**2 + o**2)*(-4*o + 6*o - 4*o).\nAnswer: -320*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -63) + -37 + 39 + -2\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/4 - 3*a**5\/20 + 81*a**4\/16 + 11*a**3 - 15*a**2\/2 - 36*a + 29. Suppose u(d) = 0. Calculate d.\nAnswer: -2, -3\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 131700.6l to millilitres.\nAnswer: 131700600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. Let j = 0 + s. Let t = 9 + -8. Is j at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -231, -229?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27835\/209 + (-2)\/11. Let l = x - 76. Suppose l + 127 = 4*i. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 6) in base 2?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/13 - 890368*y\/13 + 4451790\/13 = 0. What is y?\nAnswer: 5, 445179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 3*q**2 - 6*q**2 - 14*q + 5*q**2 as a*q + s + r*q**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.74. Let z be 1\/(5\/(-405)*1). Let u be (-4)\/(-18) + 18\/z. What is the third biggest value in -0.1, u, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1729 and 1359.\nAnswer: -2349711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.99027, -10, -2?\nAnswer: -6.99027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288143 is divided by 72030.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) -0.2 (c) 57503 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4200 divided by -4?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-279 + 141 - 228)*(-7 + 7 + 5*l + (2 - 2 - 2*l)*(0 + 2 - 1)) in the form p*l + k and give p.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q + 34. Give n(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 35 = 3*x. Suppose -5*s = i + 31, 4*s - 7*s + 3*i = 33. Let k(w) = w + 10. Let d be k(s). Solve 4*u + 18 = -d*a, -a + 2*a + x = -u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110111100111011 (base 2) to base 7.\nAnswer: -3601645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/(-22) + (-14)\/77. Sort s, -2, 4 in descending order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s - 92*s = -306 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-30)*2 - 28\/(-5). Suppose -4 = -v*s + 16. Suppose -3*w = -h + 2*w - 17, s*w = 5*h + 1. Solve -h*i + 3 = 0, 2*b + i + 0*i = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5acd4 (base 16) to base 12\nAnswer: -15b298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -522459 divided by -3\nAnswer: 174153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*k - 12, -8*k + 7*k = -2*o + 7. Let z(r) = -2*r. Let v(w) = 37*w + 4. Let a(b) = o*v(b) + 2*z(b). Let p(g) = -2*g. Determine p(a(u)).\nAnswer: -66*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = -2*n + 4*u, u = -3. Suppose l - n*r = 66, -l + 21 = 3*r + r. Which is smaller: -1\/2 or l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 21, 42, 71?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let g be ((-6)\/8)\/(q\/(-24)). Let m(j) = -j**2 - 8*j - 7. Let s be m(g). Solve 0 = 4*w + w - 4*o + s, 15 = w - 4*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3464 and 24.\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129199995 = -5*y + 5*s, 0 = -3*y - s - 21649755 - 55870246. What is y rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7735.314 hours in minutes?\nAnswer: 464118.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - (-92)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 0, -2*v - 5 = -f - 6*v. Solve f*r - 5*j - 21 = r, -5*r - 5*j = -15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, -173, 6, -6.\nAnswer: -173, -6, -4, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let v(c) = -3*c + 0*c + 0*c - 5*c. Calculate w(v(d)).\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - h**3 - 12*h**4 - 27*h + 25*h + 0*h**3 to s + r*h**4 + p*h + n*h**2 + j*h**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 6 (b) -4 (c) -209 (d) 0.21 (e) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296977557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -7 + 1 + -2 + 5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 726948817 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(637)*-3 + (sqrt(637) + -1)*5)**2 + 3.\nAnswer: -168*sqrt(13) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1904780847 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 1520, 3353, 5930, 9257, 13340, 18185?\nAnswer: 23798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15136226.692 - 15215272.84329. Let p = k + 78176.157. Let q = p - -870. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8380.5142 to the nearest one hundred.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from afqbrqbrqbqiqqqqir?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 7*q - 1 + 157 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 9*j + 8. Let x be 69\/(-9) + (-1)\/3. Let k(i) = -4*i - 9. What is the remainder when k(-14) is divided by f(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(448) - (sqrt(448) + 4))*1*-6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5102268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -34) + 2 + -3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*s + 56, -16800*s + a = -16838*s - 168 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1*(-19)\/(-1). Let y = 8 - a. What is the remainder when 57 is divided by (0 + 1)*-1*y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21917, -21779, -21453, -20861, -19925?\nAnswer: -18567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*u**2\/7 - 320*u\/7 - 512\/7.\nAnswer: -2*(5*u + 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -55. Let s(f) = f**2 + 5*f - 1. Let z(c) = c**2 + 9*c - 2. Determine m*z(l) - 5*s(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101110101011001101000100 - 1?\nAnswer: -1001101110101011001101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(9\/3)\/(-1). Let q be 16\/3 + i\/9. Solve -l - x + 1 = -0*l, 7 = q*l + 3*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 1:40 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -228. Let b(r) be the third derivative of 0*r**4 + 1\/120*r**6 + 1\/1008*r**8 + s + 0*r**3 - 1\/180*r**5 + 0*r - r**2 - 1\/210*r**7. Factor b(c).\nAnswer: c**2*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - (-14 + -2 - -12) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z. Suppose -2 - 2 = -h. Suppose -4*g + 2 = -0*g + 3*f, 5*g - h = -3*f. Let t(p) = 2*p - 3*p + g*p. What is t(a(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 10) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 60 = b. Let o = 72 - 68. Let c be (o - 0)*(-4)\/(-8). Solve -p + b = p, -2*v + c*p - 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(4\/11))*n*n**(-9)*(n\/n**3)**(-9))**(-1\/14) assuming n is positive.\nAnswer: n**(-95\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 113809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 100*j**2 + 891*j - 231. Determine t(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*o - 8030 = 106*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 5)*(-5 + 2 + 2) - 1 + 1 - 1 + 5458 - 4882 - 5420 - 2228 - 7455)*(2*l**3 + 0*l**3 - l**3).\nAnswer: -14526*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 4*g - 1838*g**2 + 1753*g**2 in the form m*g**2 + c + x*g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-91)*((-350)\/(-20))\/5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**2 - 15*w - 15. Let n be b(-1). Solve j - 56 = -n*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*l - 12 = 0, 3*r - 2*r + 5 = 3*l. Suppose 306 = 5*y + 2486. Let x = y - -434. Which is the second smallest value? (a) r (b) x (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*16\/24. Let k be -3*2\/6 + d. Is k - (-43 + 4) - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 32*n**2 + 93 - 2*n)*(-3*n + 4*n - 7*n).\nAnswer: -192*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 4*s - 2*s. Suppose -25 = u - 3*n, -n + s = -2*u + 17. Let z = 39 + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*j**2*n*t - 2*j**2*n + 5*j**2*t**3 - j*n + 1016284*n*t**3 + 125*n*t**2 + 2*t wrt t?\nAnswer: 30*j**2 + 6097704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 1.2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:26 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3638.99 >= 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*v = -12, -4*c - v - 3*v + 24 = 0. What is the third derivative of 2*z**c + z**4 + z**4 + 0*z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34696 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -2\/9 (c) 106 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 548, 546, 544, 542, 540?\n\"Answer: -2*g + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2868119.\nAnswer: 2868119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - (-85)\/210. Let g(c) be the third derivative of 0 + 2*c**2 + 1\/84*c**4 + 0*c + s*c**5 + 0*c**3. Let g(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 613701.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}