diff --git "a/data/dm_maths/full_data_1/10382_11255.jsonl" "b/data/dm_maths/full_data_1/10382_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10382_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p = 0.04 + -19.04. Let k = 18.999955 + p. Round k to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {p: 1, m: 1, n: 1, w: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, o: 2, b: 1, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f**3 + 2*f**2)*(4 - 1 - 2)*(-f - 2*f + 23*f).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3313 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111547928 a multiple of 863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 147. What is the second derivative of 2*y**2 + 9 - y + 2*y**4 - s*y**2 - 8*y**2 wrt y?\nAnswer: 24*y**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:31 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -10479?\nAnswer: 104.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -264 and 0.6.\nAnswer: -158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -5*p. Suppose 4*w + w - 30 = -5*y, 2*w + 5*y = 6. Suppose -w = -p*d + 52. Solve -d = 3*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14797296 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-19)*t**9*t*t**(-2\/9)\/t*t**(-21\/4)\/t assuming t is positive.\nAnswer: t**(811\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593799329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934651?\nAnswer: 3, 978217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28 plus 2871?\nAnswer: 2873.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9955, -4, 904 in increasing order.\nAnswer: -4, 904, 9955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:03 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 4.08. Let n = d - 5.28. What is the second biggest value in 4, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 559.4412mg?\nAnswer: 0.5594412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -765.03846 to 1 dp.\nAnswer: -765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 166032150?\nAnswer: -166032146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163639.\nAnswer: 3, 721213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*f - 0*y + 8, -3 = f - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + 0.1. Which is smaller: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - w)*(2*w + 2*w - 3*w) + (-5*w + 7*w + 6*w)*(w + 0*w - 2*w) + w - w + w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Let r(l) = 1 + l**2 + 0*l - l - l. Is r(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxd when three letters picked without replacement from dlxlwexllelelxe?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 42 = -19*j. Suppose -3*d + l + 1077 = 0, -d - j = 2*l - 387. What is x in -3 - 43*x**4 - 38*x**4 - 160*x - 472*x**2 - 21 - d*x**3 + 8 = 0?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 120. Suppose -3*q + 57709 = -3*b + b, 2*q - 5*b - 38469 = r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/14)\/(((-26)\/(-364))\/(1377\/408)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2 (c) -0.2 (d) 8 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*a + 302*a - 76849 = -469*a + 19766 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12370, 24752, 37134?\n\"Answer: 12382*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51756, 103486, 155216, 206946, 258676?\nAnswer: 310406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10111011?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -22. Suppose p = -p. Sort p, w, -4.\nAnswer: -4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*t - 15 = -3, -8 = -4*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 35*j + 14. Let p(r) = 14*r + 296. Let t be p(-22). Calculate d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/2 - 32309*m**4\/2 - 96915*m**3 - 193822*m**2 - 129212*m.\nAnswer: -m*(m + 2)**3*(m + 32303)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 7, -1.\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 2}. What is prob of sequence ssr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 62640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 59579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o + 470 = 34*o - i, -5*i = 5*o - 500. Calculate the remainder when 274 is divided by o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - -11d261?\nAnswer: 11d240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 7 = 4*o, -4 + 18 = 6*i + 3*o - 2*o - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250.439897 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + -23)\/((-18)\/4) and 6\/16*24\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -2*v + 9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 24 = 3*f. Suppose -2*z + 0*p + 5*p = -14, 0 = -4*p - 16. Let y = z - f. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(91)\/(sqrt(77)\/(sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11)))) - sqrt(26)\/(4*sqrt(8)\/sqrt(4))).\nAnswer: -3 + 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*d - 240, 97 = -4*z - 2*d - 217. Let o = -631\/8 - z. Let n = 15.1 - -3.9. What is the second biggest value in -0.3, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1 + 4*i**2 - 6*i**2 + 1. Let a(j) = 25*j**2. What is a(y(g))?\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + m**3 + 6 + 17 + 2*m + 0*m**2 + m**2 as t + w*m + a*m**2 + r*m**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1091 - -1086. Let d = 0.1 + 0.02. What is the closest to 0 in d, t, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2 and -73\/3222.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612773 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1295406731 rounded to three dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/1150 and 17\/250?\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 35*u + 245. Determine x(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10*g = -19, -g + 65 = -2*b + 69 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 i when four letters picked without replacement from {c: 4, i: 5, v: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(500)*-1*-4.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (29 + -20)) + 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143442233 to the power of 1\/2, to the nearest integer?\nAnswer: 11977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -19. Let t = r - 5. Let s be (1*t\/14)\/(1\/(-2)). Solve -6 = 3*z, s*z = -3*p + p - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/63430 and 61\/54800.\nAnswer: 347596400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 1 + 8*v**2 + 4*v**2 - 15*v**2 as y*v + d*v**2 + z and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 636096090 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19365 = -25*k + 40885. List the prime factors of k.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2\/21 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 7*n**3 + 4*n**3 - 5 - 63*n**2 + 2 - 1.\nAnswer: -3*n**3 - 63*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30146138?\nAnswer: 2, 11, 29, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72917.33 + 73547. Let g = f - 629.505242. Let r = -0.165 + g. What is r rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000847 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 0*x + x + (40*x - x - 11*x)*(0 + 1 - 4)*(-14 + 42 - 21).\nAnswer: -586*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91224 is divided by 155.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9385, -9538, -9693, -9850?\nAnswer: -10009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0\/(9\/(-3)). Let r = g + -1. Let s = -9 + 21. Solve z + 2*p - s = -p, 4*z = r*p - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 5159357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.2229?\nAnswer: -0.2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026905 to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -l. Suppose l*f - 17 = 3*p - p, -12 = 2*p - 4*f. Suppose g - 4 = -b, p*g - 1 = -9. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/8 - 249*o**2\/4 - 2520*o + 5292 = 0. Calculate o.\nAnswer: -84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and 5080786.\nAnswer: 2337161.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322102233 - 33?\nAnswer: -322102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-3)\/(3\/2). Is -3 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 4*x**2 - x**2)*(8*x - 9 + 9) + x**2 - x**2 + x**3 in the form z*x + w + i*x**2 + v*x**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 9*b - 18. Give r(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 894*v**2 + 28*v + 1. Let i(h) = -101*h**2 - 3*h. Let m(d) = 28*i(d) + 3*l(d). Let c(b) = -2*b**2. What is m(c(f))?\nAnswer: -584*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4538200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 2*t + 10, -t - 42 = 81513*x - 81516*x - 14 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9324321737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = p + 36, -5*s - 9 = -p + 45. Let v(h) = h + 16. Let c be v(s). Solve 2*o - c*o - 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6301354018 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426 - -431. Suppose k*n - 4 = -2*a + 11, n + 45 = 2*a. Calculate the smallest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -46, 4\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 5*v - 20, -3*s + 14*s = 7*s + 14*v - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33958 - -18042. Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9536134 divided by 9536134\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let w(d) be the third derivative of -d**8\/4032 + d**5\/60 - 4*d**2. Let l(f) be the third derivative of w(f). What is p(l(c))?\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -36*b**2 - 5*b + 5. Give t(2).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = z - 3, 3*z + 7 = -7*a + 2*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*n - 15, 3*j + 12 + 3 = 0. Suppose n = 4*w + 5*c - 64, c - 31 = -w - 4*c. Calculate the remainder when 75 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let q be s(4). Suppose -4*h + h = 0, 5*z + 3*h - 30 = q. Which is greater: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.236 + -0.136. Let o = i + -12. Is 0.2 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by -87.\nAnswer: 389\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 233116*m + 699330.\nAnswer: 2*(m + 3)*(m + 116555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*g**3 + 5*g + 30*g**3 + 42*g**3 + 79*g**4 + 87*g**4 - g**2 - 103*g**3 in the form w*g**3 + o*g**4 + c*g**2 + f + t*g and give o.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404841591.\nAnswer: 3, 7, 11, 194729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 53 - 17 = 4*u, 4*i - 44 = -5*u. What is the lowest common multiple of -4 - 36\/(1 + -5) and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -58.1, 6, 1\/9 in decreasing order.\nAnswer: 6, 2, 1\/9, -58.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqjq when four letters picked without replacement from sjxxsjqxsqjqj?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:33 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.024 + 0.02399981. What is a rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 420 = 39*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Let l(r) = -s*r**3 - r**3 - r - 2*r**2 + 0*r - r - 1. What is the units digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 - 33699*y\/5 - 3447702\/5.\nAnswer: (y - 33801)*(y + 102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -128, -252, -364, -458, -528?\n\"Answer: g**3 - 131*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -0.5 (c) 3.399338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c - 2*n, 5*c - 14 = -n - n. Suppose c*z + g = 3 - 6, 5*g - 9 = 4*z. Which is smaller: z or -2\/55?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -997, -1002, -1017, -1048, -1101?\n\"Answer: -t**3 + t**2 - t - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 11*i - 2. Let d be o(-6). Let m = -17 - d. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 46942?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 227*h**2 - 3098*h - 1139. Determine i(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 4) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 - 7. Suppose 3*v + 22 = 22. Suppose -2*o + 7*o - 5*w - 10 = v, 3*o - 4*w = 5. Sort 4, n, o in descending order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110123123 (base 4) to base 9.\nAnswer: 1125864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443236745.\nAnswer: 5, 7, 1163, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 819588 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a - 9, -3*x - 2*a - 46 = 0. Let n be 4\/x + 148\/28. Sort n, 1, -2 in descending order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4341264841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = -0*w. Let z = w - -118. Suppose o + 3*b = -o + z, -o = 4*b - 71. Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (-18 - (5 + 0 + -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159141191 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 3*l + 3. Suppose -3*h + 6 = -6*h. Let x(j) = j**2 - 3*j + 2. Let m(q) = h*z(q) + 3*x(q). Find the second derivative of m(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*z + 20*z**3 + 59*z + (0*z**2 + 4*z**2 - 3*z**2)*(-4*z + 6*z - 3*z) + z**2 + 710 - 708 - z**3 + 0*z**2.\nAnswer: 18*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/4 - 95*c\/4 + 47\/2 = 0.\nAnswer: 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 18 = -2*a + 6, -3*g + 3*a = -36 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**4 - 6*w**3 - 9*w**2 - 3*w. Let q(h) = -3*h**4 - 5*h**3 - 9*h**2 - 3*h. Let y(r) = 4*a(r) - 3*q(r). What is m in y(m) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 3*k**2 - 4*k + 4. Let a be y(4). Suppose -100 + 508 = a*w. Let v = w + -20. Does 28 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a - 195. Let z be i(13). What is the highest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515554 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*h + 2*h**3 - 7138*h**2 + 2410*h**2 - 284*h.\nAnswer: 2*h**3 - 4728*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - -6. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.17 - -0.17. Let z = q - -46.99999847. What is z rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12.466 (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7469200 divided by 6?\nAnswer: 3734600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 c when four letters picked without replacement from ucccccuccccc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 30 = 2*n. Let u(a) = a**3 - 4*a**2 - 6*a - 13. List the prime factors of u(n).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**3 - 5*v**3 - 10*v**3)*(-15*v - 37*v - 2*v) to the form a + n*v**3 + i*v**4 + g*v + p*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + k, 2*v + 3*v - 2*k = 7. Suppose y = 4*n - 65, y + v - 72 = -4*n. Suppose u = 3*m - 7, -u = -m - 4*m + n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -198, -183, -168, -153?\n\"Answer: 15*m - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 141*d + 2993. Let r be l(-26). Solve -f + 5*j = 9, -f - 3 = -2*j + r*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/6, -0.7, 4, -11 in descending order.\nAnswer: 4, -1\/6, -0.7, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74)\/6*(61 - 67) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 59832140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*p + 3*h, -34 = 13*p - 15*p + h - 11*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18528871 is divided by 119541?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in -3, -9, 0.3, 1\/3, -0.04?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/76 and 91\/76442320.\nAnswer: 76442320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169133 - 659453 = -36*c. Is 60 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -26. Suppose w = -5*d + 21. Let m be (d\/(-2))\/(5\/70). Calculate the greatest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 11*k + 29. Let h be y(-7). Let v = 36 + -26. What is the highest common factor of h and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) 6\/5 (b) -22\/23 (c) -1\/83 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 707.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.18 + 4.78. Let n(o) = o**2 + 13*o + 25. Let b be n(-10). What is the biggest value in -1\/2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(17) + sqrt(34)\/sqrt(2) - sqrt(17) - sqrt(17)) + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0*t - 5*t + 4*t)*(16*t + 14*t + 3*t).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 13*j - w + 3*w = 4*w + 26, -6*j - 89 = 13*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14032 and 3508?\nAnswer: 14032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*t - 34*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -238*z - 342.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24624101 (base 7) to base 4.\nAnswer: -20133021230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3866 + -36017?\nAnswer: -32151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (520\/(-12))\/(-13)*(2 + 1765\/10). What is the greatest common factor of a and 3213?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5 = -5*c - 6, -4 = -4*c + 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.10811 - -0.10852196. Round m to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 362479344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 8*u - 2210 = 0. Let t = u + 717. Find p such that -160*p**3 - t*p**4 + 102*p**5 + 58*p**2 - 78*p**2 + 78*p**5 = 0.\nAnswer: -1\/4, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, r: 1, u: 2, e: 1, v: 3}. Give prob of picking 1 u and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-528)\/176*(-12)\/(-5*24).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 35*n**3 - 4*n**2 + n - 21. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 31*f**5\/60 + f**4\/24 + 53*f**3\/6 + 2*f**2 - 9. Differentiate v(j) wrt j.\nAnswer: 62*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5 - 4*i - 11*i - 2 + 0 + 18*i. Let g(c) = c**2 + c + 1. Give -4*g(h) + m(h).\nAnswer: -4*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -17*v**4\/60 - 54*v**3\/5 - 19*v**2\/10 - 2649*v. What is i in n(i) = 0?\nAnswer: -19, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2651 - 619. Round i to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 13. Let w be f(4). Suppose -3*c = -23 - 94. Let j = c + w. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-17))\/(52\/3094). Let z(t) = 3*t + 28. Calculate z(l).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*r + 26 = -0*x, -16 = 2*x + 2*r. Let c(k) = 2*k - 4. Give c(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 9)\/(69\/(-4048)). Calculate the greatest common factor of 1012 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**3 + 6*i**2 + 8*i - 7. Let o(y) = 22*y**3 + 13*y**2 + 17*y - 15. What is 6*o(h) - 13*q(h)?\nAnswer: -11*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 1. Let o(y) = -4*y**2 - y + 33. Let p(q) = o(q) - 3*t(q). List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = b + 2*d, -20 = -b + 4*d. Let l be 10\/5*(-22)\/b. Let t = 0 - l. Calculate the lowest common multiple of 7 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/3, -1, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14019771 to the power of 1\/2, to the nearest integer?\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2549337\/(-459) + 2\/18. Is 34\/119 + l\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/157236?\nAnswer: -7\/157236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Suppose -3 = z + 1. Put z, v, -5 in ascending order.\nAnswer: -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z + 27\/2*z**2 + 1\/4*z**4 - 3*z**3 + 0. Factor a(h).\nAnswer: 3*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/3 + 62\/21. Let w = 20 - 19.8. Let o = w + 0. Which is the closest to 2? (a) -0.1 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3658780*r*t**2*v**2 - 610*r + 92473*t*v**2 - 3*t*v wrt t?\nAnswer: -7317560*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 46*d**2 - 2*d + 51*d**2)*(-4 + 2 - 1 + 4*d) + 2*d**3 - 3*d**3 + 6*d**3.\nAnswer: 25*d**3 - 31*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-45))\/(2748\/(-5)). Let q = -116444\/30915 - p. Find the common denominator of (7 - (-2575)\/(-360))*(76 + -74) and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165653 - -3?\nAnswer: -165650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55021, -55010, -54999, -54988, -54977, -54966?\nAnswer: -54955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 254?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1405083616305649 + 1405083241252568.64999901. Let a = y - -375053281.35. Let w = a + -201. Round w to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*g - 6390 = -4*g + 1495. What is the remainder when 704 is divided by g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - j - 20852 = -5*j, -4*h - 5*j - 20807 = 0. Let t = h - -8031. What is the tens digit of t\/21 + (-4)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20582 - -452729\/22. Calculate the common denominator of -5\/12 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 75. Let k = q - -6. Let l(x) = -2*x**3 + 43*x**2 - 16*x - 49. Let z be l(21). What is the highest common divisor of k and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 24325341099*z - 24325341097*z + 48650682196*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from dfbyjda?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2256, -2257, -2258, -2259, -2260, -2261?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.5 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*p**2 - 1 + 161*p + 60*p**2 + 178*p - 508*p + 169*p.\nAnswer: -165*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55735 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4228 + 12008. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, d: 1, j: 1, r: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/3 + 518*f**2\/3 + 43054*f\/3 + 1124554\/3 = 0?\nAnswer: -103, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 392, 602, 812, 1022?\n\"Answer: 210*o + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/27))\/(y\/(y\/y**(1\/7))) assuming y is positive.\nAnswer: y**(337\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000503661 to seven dps.\nAnswer: 0.0000504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -60330000 to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:39 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1397*r - 7108. Determine u(-5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.36 - -31. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiiiikii. What is prob of picking 1 k and 1 i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 2*y + 2*y)*(20*y - 33*y + 24*y)*(3 + 1 - 2) as o*y + t + w*y**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.52872 to 1 decimal place.\nAnswer: 27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v + 28. Let t be (-3)\/(-2)*v\/63. What is the nearest to t in 4, 3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113803\/14 + 8129. Which is the second biggest value? (a) i (b) 0 (c) 3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4433 - 1994. Suppose 1158*y - 1161*y = -g. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 15*h - 140. Let u be t(49). Is u > 595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*d + 39 + 137, -2*f = d + 352. Let b = f + 202. What is the highest common factor of 65 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -19*m**3 + 7*m**2 + 12*m + 15. Let v(n) = -33*n**3 + 13*n**2 + 23*n + 30. What is 7*a(i) - 4*v(i)?\nAnswer: -i**3 - 3*i**2 - 8*i - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/2*(18\/(-2))\/18. Suppose 3 + 3\/4*k**3 - b*k - 3\/4*k**2 = 0. What is k?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 31*t**3\/3 - 45*t**2 - 63. What is the second derivative of h(b) wrt b?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 1)*(0*q**2 - 2*q**4 + 0*q**2) + (-2*q + 4*q - 4*q)*(-3*q**3 - 16*q**2 + 16*q**2).\nAnswer: 38*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Suppose 4*z - 2*z - x = 0. Find a, given that 2 + 2*a - 3*a**3 + 2*a**z + 2*a**5 + 0*a**3 - 5*a**2 + a**2 - a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -11. Suppose 3*o - 12 = -r*o. Let w be ((-2)\/4*o)\/5. What is the second smallest value in w, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120202102 - -1200320?\nAnswer: 122003022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -366\/5 (b) -23 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 - 13*y**2 - 26*y. List the prime factors of c(-6).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 788697?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/30 - 2*a**4\/3 - 5*a**3\/3 - a**2 - 12*a - 3. What is g(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9699 and -139\/1908?\nAnswer: 116388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -4*b - 20. Let w(o) = o**2 - 5*o + 7. Let v be w(b). Solve -9\/5*d**2 + 24\/5*d**v - 6\/5*d + 0 - 9\/5*d**4 = 0 for d.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41744 and 24?\nAnswer: 125232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 2*n - 3*m - 2*m, -3*n - 4*m = -459. Suppose 3*y - 43 = d, y + n = -3*d + 4*y. Let g = d - -84. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13222 and -0.12502595?\nAnswer: 13221.87497405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*j = x - 857, -4*x = -3*j - 3488. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 5*g**3 + 3*g**3)*(-1 + 1 - 3)*(90 + 41 - 33).\nAnswer: -294*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*j - 114, -j + 50*q = 45*q - 24. Solve 0 = 8*p - j*p - 84 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540150 + 540150 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -0.1, 0.0082, 0.2, 0.1 in decreasing order.\nAnswer: 2, 0.2, 0.1, 0.0082, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78946 divided by -7.\nAnswer: -11278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/120 - n**5\/15 + 25*n**4\/24 + 56*n**3\/3 - 29*n**2. Let s be h(-4). Solve l = 7*l + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*k + 45 = -41*k - 40*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325378896 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 - 99\/66*-160311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 15, 5*y - 13 = n - 16. Suppose 88*q - 78*q - 2080 = y. Does 52 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 2272688668.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 36 (c) 67 (d) 1 (e) -3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 155, 152, 149, 146, 143, 140?\n\"Answer: -3*m + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 2*m**7\/525 + 53*m**6\/900 + 3*m**5\/10 + 2*m**4\/5 - 16*m**3\/45 - 91*m**2. Find b, given that i(b) = 0.\nAnswer: -4, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1609*z**4 - 2*z + 1680*z**4 + 10 - 4 - 18*z**3 + 17*z**3 + z to a*z + k + l*z**3 + x*z**4 + g*z**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t - 718*t - 3279 + 19704 = -13655 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 40 = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -43*r**2 - 18*r**2 + 56*r**2. Let j(b) be the second derivative of 13*b**3\/6 + 5*b. Determine d(j(s)).\nAnswer: -845*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 7972661.\nAnswer: -40\/7972661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 94 - 2*i + 101 - 340 + 120.\nAnswer: -i - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 78*w**3 + 172*w**2 - 312*w - 656.\nAnswer: -2*(w - 41)*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040 - -10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 203565*b. Let d(q) = 2*q**2. Calculate d(n(v)).\nAnswer: 82877418450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34514*c + 34977*c - 69524*c.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4447\/32660 + 27\/460. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 630, 1 in ascending order.\nAnswer: 1, 4, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n - 38*n + 378. Let c be n*3*(-5)\/(-6). Factor -15*v + 5\/2*v**2 - c.\nAnswer: 5*(v - 7)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**(-33))))\/x**(16\/5))**(-1) assuming x is positive.\nAnswer: x**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(2 - 2 - 2*d)*(-535*d**2 + 98*d - 54*d - 44*d) to s*d**2 + z*d**3 + r + y*d and give z.\nAnswer: -2140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34924.96979981 - -2?\nAnswer: 34926.96979981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 + 5 = 5*o, 7 = 5*f - 3*o. Suppose f*w + 0*w - 14 = -2*z, 0 = 2*z - 4. Suppose -w*u = 3*u - 552. Is 34 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j + 20*j**2 + 17*j**2 - 27*j**2 in the form o + n*j**2 + g*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2)*11\/3. What is the smallest common multiple of ((-1)\/(-1))\/(-1)*a and (-8)\/(-3) - (-7)\/21?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h - 30. Let s be f(5). Suppose -43*k + 4600 = -s*k. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h - 6. Let t be z(6). Let f = -4 + 7. Suppose -f*g = -t*g - 12. What is the third smallest value in g, 1\/2, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*q**3 + 2*q + 147*q**3 - 8*q.\nAnswer: -q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 29 = 5*f, -7 = -4*a - 4*f - 3. Suppose -83*l = -80*l. Put -25, a, l in descending order.\nAnswer: l, a, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/8)*c*(((c*c*c*c**(-5))\/c*c)\/c)\/c*c)**(-37) assuming c is positive.\nAnswer: c**(333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -88. Let g be (14\/a)\/(0 + -1). Which is smaller: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2\/15, 0, 4, -8 in decreasing order.\nAnswer: 4, 2\/15, 0, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w + w + 7*w + 10*w + 1 - 2*w**4 to the form p*w**3 + i*w**4 + u*w**2 + f + r*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/56 and -20\/1677.\nAnswer: 93912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -30. Let d be (2\/1)\/(y\/18). Which is the nearest to 0.1? (a) d (b) 1\/4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6159 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12116824 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 1055, 2375, 4223?\n\"Answer: 264*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -17.8, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 z when three letters picked without replacement from {k: 3, q: 7, s: 1, z: 3, b: 2, i: 1}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*g - i + 89 = -247*g, -3*g + 3*i = -57 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.136 - -0.536. What is the smallest value in 0.5, 3, b, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -375216858504 and -44.\nAnswer: -375216858548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*j - 37, 3 + 31 = 10*x + 2*j - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527028603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -61*n**2. Let p(c) = -c - 6. Let x(q) be the third derivative of -q**4\/24 - 5*q**3\/3 - 23*q**2 - 2. Let m(i) = -5*p(i) + 3*x(i). Determine u(m(w)).\nAnswer: -244*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3, 1, 93, -3 in descending order.\nAnswer: 93, 29, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 2, s: 2, g: 1, f: 3, o: 3}. What is prob of sequence nogs?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -9*t - 10. Solve -5*n = 5*z - 15, -4*z + t + 7 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12683748 and 261184?\nAnswer: 202939968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 1524.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 6*o = 37*o - 136. Determine i, given that 1\/4*i**o + 3\/2*i + 9\/4 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*g = 27, -14*g + 4 = -2*d - 12*g. Suppose 2*n = s - 21799994, 53724215 = d*s - 2*n - 11675779. Round s to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1006*n + 506*n + 501*n. Let b(k) = 27*k**2 + 4. Let d(g) = 1891*g**2 + 279. Let s(l) = 279*b(l) - 4*d(l). What is i(s(h))?\nAnswer: -31*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*p**3 + 1331*p**3 - 2704*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714636237 and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Let u be n\/10*(-5)\/7. Suppose 0 = -2*s - 1 - 1. What is the biggest value in 2, u, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 51612.39170763.\nAnswer: 51633.39170763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1876 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*r - 3*m, -r + 5*m - 8*m - 7 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*q + 115*q = -4*r - 23, -3*r - 12 = q. Solve 5*u + w = 26, q*u + 11 - 24 = 2*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -10010?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 3. Let l be w(1). Which is smaller: -14\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 4143137.\nAnswer: -1\/4143137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 218750 divided by 10\nAnswer: 21875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*m + 978815, -2088*m = -2087*m + 4*z - 326295. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 5*l**2 + l**2 + 0*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1 - 2 - 8 = 2*w, 21 = 10*r - 3*w - 62 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000340596084 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2378 and 20.\nAnswer: 23780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 102 - 26. Suppose 5*j = 3*g - 107, 3*g - 2*j = g + 70. Find the common denominator of (g\/(-561))\/(k\/(-54)) and 16\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/33)\/((-1)\/(-3)). What is the closest to 4 in 0.5, -3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from qgzpqiipgzzgzy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 51 = -76*j + 33 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 41*t**2 + 23*t + 17. Let r(m) = m - 5*m + 33 - 14*m**2 - 39 - 4*m. Determine -17*r(s) - 6*w(s).\nAnswer: -8*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Suppose -3*j - 24 = 2*l - 69, s*l + 80 = 4*j. Calculate the remainder when 49 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - ((sqrt(152) + (-2*sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152)))*4 + sqrt(152))\/sqrt(8).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(1900)))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 32*l - 39. Determine f(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 147, 151, 155, 159, 163?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.824 - -0.824. Which is the fourth biggest value? (a) -3 (b) v (c) 1.6 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3*m = 32. Let p(a) = -a**3 + 1. Let k(y) = -2*y**4 + 6*y**3 + 2*y**2 - 2*y - 4. Let d(w) = m*p(w) + k(w). Factor d(t).\nAnswer: -2*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:33 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156559?\nAnswer: 13, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-9))\/(-5)*(-147)\/245\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/9 + i**2\/3 - i\/9 - 1\/3 = 0 for i.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*y + 21 = 0, 3*c + c + 14 = 2*y. Let n = -2 + c. What are the prime factors of (n\/(-6))\/(4\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*p**2 - 112*p**2 + 62*p**2)*(-9*p + 2*p - 2*p) + 2*p**2 + 0*p**3 - 4*p**3 + 5*p**3.\nAnswer: 1423*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z - 7. Let b(j) = -5*j + 4. Let s(m) = -7*b(m) - 4*q(m). Let l(x) = 4*x - 4. Let h(o) = l(o) + 5*s(o). Let f be h(-8). Solve 8 = 2*k - f*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -58. Let z = -4502 - -31516\/7. Let u = 11 + -65\/6. Which is the closest to -0.1? (a) r (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 356, 854, 1352, 1850, 2348, 2846?\n\"Answer: 498*x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) + 10*663\/780. What is the biggest value in -5, x, -8\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*l - 147*l + 70 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/2, 1, -1\/1504, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -214*c**5\/17 - 1502*c**4\/17 + 15808*c**3\/17 + 36248*c**2\/17 + 672*c\/17 = 0?\nAnswer: -12, -2, -2\/107, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 163*c - 37668 = 403*c - 12*c for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 w when four letters picked without replacement from yywyqwywqwyywyww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -56. Let g be (-2 - -3)*(-2 - -2). Suppose -c*v + 63 - 19 = g. Calculate the highest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = y + 3*y - 24, 6 = y + 3*s. Suppose 4 + y = 5*a. Suppose 0 = -2*g + a*r + 92, -3*g = 2*r - 153 + 5. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2111.01 + 2111. Is 78 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23036 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13617 + -1218. List the prime factors of k.\nAnswer: 3, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083245.\nAnswer: 5, 816649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 - h - 3. Let j(k) = 189*k**3 - 3*k**2 + 3*k - 539. Let p(t) = -4*j(t) - 12*r(t). Find the first derivative of p(w) wrt w.\nAnswer: -2232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.139777246 to four decimal places.\nAnswer: 0.1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*p + 3*o, 5*p - 8 = 3*o + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.6 (c) 2\/13 (d) 21 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128)*-2 + sqrt(128)).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72141 and 1038?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Suppose 0 = h*o - 45 - 30. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6868.\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, 0, 8, 2921?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(187) + (3*sqrt(187)*-3 - sqrt(187))))\/((sqrt(3520) - sqrt(3520)*3)\/sqrt(5)))**2.\nAnswer: 1377\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4 + 4. Solve d = -3*c + 6*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p - 2688000 = -228*p. Is 256 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 1014 = 0. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913966 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.88 - 0.12. Which is the biggest value? (a) f (b) 0.3 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156*-1.75.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q + 258. Let r = -76 + q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5*-30*1. Let y = -72 - -77. Solve 0 = y*f - a - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23245*b*u + 9554*u wrt b.\nAnswer: 23245*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1 - -1) + -2. Let t = 171752 + -171749. Sort b, t, -1, 9 in increasing order.\nAnswer: -1, b, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from lhlmqllmmlllllm?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55972600361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 2 f when four letters picked without replacement from {f: 11, b: 3, g: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-22))\/(17*1575\/(-28050)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 70885.15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 smaller than -380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-32)\/v*v))\/v**(-6) assuming v is positive.\nAnswer: v**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -637 or -636?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 651, 873, 1079, 1263?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -43. Let s(x) = -3*x + 2*x**2 - x**3 + 2*x**3 + 6*x. Calculate s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)*h)\/h**(1\/17))**(2\/7) assuming h is positive.\nAnswer: h**(-10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 4*n - 5. Calculate j(-7).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + 5*c**4\/4 + c**3\/3 - 11*c**2\/2 + 2*c. Is g(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 41*r. Let i(f) = -f**2 - f + 1. Let s(q) = -6*q**2 - 9*q + 9. Let v(y) = -9*i(y) + s(y). Calculate v(u(k)).\nAnswer: 5043*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*d + 6, -4*k + 0*k - 4*d - 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12013 - 112223320?\nAnswer: -112211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 13 - 658*l + 30.\nAnswer: -658*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27300 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.8 (c) 8 (d) 37 (e) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 88 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -14*l - 43 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36900, -36929, -36958?\nAnswer: -36987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/2 - n**3 + 2. Let a be p(2). Let z = -5 - -14\/3. Sort 3, z, a in decreasing order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.2. Let j = -0.09 - i. What is the third smallest value in 5, j, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 35*t. Let h(m) = -132*m + 2. Determine r(h(b)).\nAnswer: -4620*b + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -12. Let f be z\/3*(-18)\/12. Sort -4, f, 4.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 143 - 322*u**2 - 25*u + 23 + 318*u**2.\nAnswer: -4*u**2 - 25*u - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2603596437 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868538033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5003.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(8\/3))\/i*i)**(-26)*i*i**(8\/3)*i*i\/(i**(-24)\/i)*i assuming i is positive.\nAnswer: i**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 38 = 5*a - h, -5*a + 26 = -h. Which is bigger: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 252*k + 11 - 14*k**2 + 31*k**2 - 222*k. Let z(x) = -6*x**2 - 10*x - 4. Determine -4*r(w) - 11*z(w).\nAnswer: -2*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five eighths of a day?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9750174 to the nearest integer?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let g = -7 + q. Let z(c) = -c**3 - c**2 + 3*c + 4. List the prime factors of z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-22) - (-1677504)\/2112. Does v = 795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11598 + -11598. Solve u + 3*p + 7 = x, 4*u - 9*u + 3*p = 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/(-26))\/((-2)\/(-10)) - (-47832)\/(-16). Is k at least -2988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2*g**2 - 124*a**2*i - a*g**3*i - 4*a*g**3 - 75*a*g**2 + 6*a*g - 5224*g**3*i - 4*g**3 with respect to i.\nAnswer: -124*a**2 - a*g**3 - 5224*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2358.57 - 2346. Let w = 0.049 + 11.351. Let z = r - w. What is z rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20207492, -80829968, -181867426, -323319866, -505187288?\n\"Answer: -20207491*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 2 c when four letters picked without replacement from cmcymmmmmyymmy.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53436 + -4?\nAnswer: 53432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from {b: 7, w: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83026 + 259627 + 176058 = 5324*p + 863*p for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 <= 729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-19) - (0 + 2). Suppose 3*y - 2*y = 4. Let x be 3\/9 - y\/3. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1778214245 divided by 1.\nAnswer: -1778214245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1059, -2124, -3189, -4254, -5319?\nAnswer: -6384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/463 or 1?\nAnswer: -44\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(180))**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*33.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soq when three letters picked without replacement from eeoeqsqesxssersres?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105177.\nAnswer: 3, 35059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83212210 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 36 - 2. Suppose -4*s + 10 = -70. What is the remainder when b is divided by 204\/s + (-2)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36778*v = 36741*v + 2072. Solve v = 40*o - 26*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-96))\/(2\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2933092*y**4 - 94862*y - 1?\nAnswer: -35197104*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*h + 18, -3*k = 2*h - 3*h - 8. Let v be 4\/6*15 - 0. Let o be v*(k + 1\/(-2)). Solve -i - o = -1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5.25, 1\/3, -1, -0.2, 28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235047198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9322084 centuries to years.\nAnswer: 93.22084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 231*i**2 - 17*i - 94. Let z be m(6). Calculate the highest common divisor of 160 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 88*o**2 - 111*o - 7. What is a(28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 41743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -4\/7, 5, 241, 19?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) -2\/15 (c) 0.3 (d) 8400\/611 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 225?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*m - 42*m - 39*m in the form l*m + a and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 93*c**2 - 1 - 17 + 12.\nAnswer: 93*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = -3*c - v, -c + 18 = -5*v. Let h be -2 + 2 + c + 1. Factor -w**4 + 3*w**2 + w**3 - 2*w**h + 2*w**3 - 3*w.\nAnswer: -3*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 17*a - 45 - 28 = -0*i - 14*a, 13*i + 4*a = a - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let k(x) = x + 5. What is -k(l) + 4*v(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l - 11. Let f(c) = -18*c - 32. Let x(h) = -4*f(h) + 11*y(h). Let s be x(-1). Solve -7*t - s = -6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.56 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4356 and 16?\nAnswer: 69696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfffhrfoffrfrfo. What is prob of sequence frhf?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3, -4*q + 3 + 11 = 2*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aygaaaaakykyaaagg. What is prob of picking 2 k and 1 a?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x, x + 7 = v + 3*v. Suppose v*i = 2*t - 3 + 47, -73 = -4*i - t. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 - -4. Let m = o + -0.5. What is the nearest to m in 0.2, 0.3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 - 4 = 0, 357 = f - 4*t. What are the prime factors of f?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(448)*1)**2.\nAnswer: -16*sqrt(7) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 149 + -67 - -104\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) + 6\/10. Suppose i = -2 + j. Does 19 divide i\/(2\/(-94)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/((-34)\/(-289) - 26\/(-68)). Calculate the greatest common factor of k and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-18)\/(-8))*(-48)\/544.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 972173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 963 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 0 (b) 43 (c) -0.4 (d) 15\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 less than 0.5?\nAnswer: -298.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 26 + 6 - -11 - -173?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126842 is divided by 10568.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 63*s - 589 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 952 = -b. Let r = 122 + b. Calculate the greatest common factor of 24 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w + 1 + (0 + 0 - 1)*(3 - 3 + 4*w) - w - w + 0*w - w + 4*w - 5*w)*(-4 + 74 - 5).\nAnswer: -455*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/9*(5 - 8). Let p = -3 - -7. Put 0.07, p, h in decreasing order.\nAnswer: p, 0.07, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056425089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:52 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - 0\/(-3). Suppose 3*p - 4*a + 5 = a, n = p - 2*a + 3. Suppose p*o + v - 97 = 3*v, 2*o - v - 39 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - -1?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8142*l - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -3\/4 (c) 0 (d) -194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxiixjjvvxxbxjxvjj. Give prob of sequence bi.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 8*j + 2. Let k be z(-8). Suppose 6*h = k*h + 180. What is the remainder when 177 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*j - 1, 0*q - 3*q - 14 = 5*j. Let w be (2 - (-8)\/q) + (-2)\/(-3). Solve -15 = 2*z - 3*z + 2*g, -3*z + 2*g + 25 = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220.909311 - 222.288945874. Let l = s + -8.320366296. Let n = 9.7 + l. Round n to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1403\/2 - 701. Let j = 21 - -6. Let x = 26.5 - j. What is the second biggest value in b, 0.1, x, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295 = -134*b + 89 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -385366*j**2 + 385366*j**2 - 195*j**4 + (7*j - j + 3*j)*(2*j - 2*j + 2*j**3) + j**3 + j**4 - j**3.\nAnswer: -176*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 291 (base 13) to base 16\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 3, x: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291972 and 580.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 8 - 355*d + 190*d - 4*d**2 + 193*d = 0. Calculate d.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318707, 637410, 956113, 1274816, 1593519?\nAnswer: 1912222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 741.5597 decades?\nAnswer: 7.415597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/(-27) - (1206\/81 + -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/77 and -34\/1113.\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 16 = -s. Let c = -0.074 - 36.926. Let g = c + 37. Do g and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 44\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-14))\/((-1782)\/(-374)) - 4\/(-54)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.05?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dds when three letters picked without replacement from szdd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0, -14, -353, -5, -16 in decreasing order.\nAnswer: 0, -3\/5, -5, -14, -16, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29582.6 and 4.4?\nAnswer: 130163.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndmkknkdzknkzzndn. Give prob of sequence nk.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 + l**3\/6 + l. Suppose 53*a - 678 = -60*a. Let t(v) = 4*v**2 - 5*v + 1. What is a*i(r) + t(r)?\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/11 - 91028*v**3\/11 - 1036490066*v**2\/11 - 16566367776*v\/11 - 66242176128\/11 = 0?\nAnswer: -22749, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471770 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4159*a**5 + 3*a**2 - 4160 wrt a.\nAnswer: -249540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22453a (base 15) to base 4\nAnswer: -12033011320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/((-340)\/30)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - g - 95, 0 = -k + 4*k + g - 140. Let v = k + -50. Let q(c) = -2*c**3 + 3*c - 3. Let r(f) = 3*f**3 - 4*f + 4. What is v*r(s) - 4*q(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185\/18 + -361\/36. Let j = -7 + 6.95. Put j, q, 0.5 in decreasing order.\nAnswer: 0.5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7520, 30091, 67708, 120371, 188080, 270835, 368636?\nAnswer: 481483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-15)*3*1)\/16. Let l(p) be the third derivative of -4*p**2 - 1\/60*p**5 - d*p**4 - 1\/3*p**3 + 0 + 0*p. Factor l(b).\nAnswer: -(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -822.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h**2 + 13*h**2 - 3*h**2 - 21*h**2.\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - 5*y + 3. Let l(h) = 2*h**2 - 2*h + 1. Let u(b) = -11*l(b) + 4*r(b). Let j be u(-1). What is the units digit of 2\/j*(6 + -18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 12) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + 78. Let o be (-38)\/(-9) + i\/117. List the prime factors of o\/(-18) - (-328)\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/((-1)\/29). Suppose -4 = 5*l - m. Let p(a) = 0 - 6 + 3*a - l*a + 3*a. What is p(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220012 + 21011100?\nAnswer: 1021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*w + 377*w**3 - 68*w)*(0*w + 2*w - 4*w).\nAnswer: -754*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/10 + 11*l**4\/12 - 24*l**2. What is the second derivative of x(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.7 - -101. Let o = 4 + z. Let l = 18 + -20. Which is the closest to -1? (a) -3 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*(-11 + 14)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulpw when four letters picked without replacement from {l: 2, s: 9, p: 1, w: 3, a: 1, u: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 = -19. Let q(p) = -p**3 + p**2 + 3*p - 3. Let f be q(2). Let n be (-5)\/20 - ((-2)\/(-1))\/2. What is the closest to t in n, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*f*x + 2*b*x**3 - 25*f**2*x**3 - f**2 + 2*f*x**3 + 2*x**2 wrt x?\nAnswer: 12*b - 150*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 + -8.708. Let p = -0.092 + j. Let d = -134\/3 - -46. Sort p, 4, d in decreasing order.\nAnswer: 4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5 in decreasing order.\nAnswer: 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 155. Let u = t - -15. Calculate the remainder when 92 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13\/h*h\/(h\/h**(-4)*h))\/(h**(1\/3)*h*h**(6\/13)) assuming h is positive.\nAnswer: h**(203\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0946 (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910739197 + -910739213.99999878. Let m = -17 - n. What is m rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n + 3*g = -81*n + 16, -3*n + 6 = 3*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 6*t + 2. Let n be z(6). Find the second derivative of 3*p**2 - n*p**3 - 3*p**2 - 2*p + 0*p**2 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 18 + 6. Let y be 2\/8 - (-63)\/(-12). Let d(i) = i**3 + 6*i**2 + 4*i - 3. What is the least common multiple of d(y) and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180018 and 1606?\nAnswer: 1980198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91014 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 805691 and 59819?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448630039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 5. Factor 14*g**2 + r - 12*g**2 - 7.\nAnswer: 2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/((1150\/15)\/23). What is the nearest to 2\/3 in -1\/3, -1\/6, n, -0.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22901 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: Suppose -a - 2*a = 33. Let r be (a + -1)*2\/4. Let l(p) = -19*p**3 + 13*p**2 + 13. Let o(h) = -3*h**3 + 2*h**2 + 2. Determine r*l(z) + 39*o(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110121221 - -10012221?\nAnswer: -21100102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(160) + -1*sqrt(81))\/((sqrt(72)\/sqrt(4))\/sqrt(6) + 4*sqrt(9)\/sqrt(3)).\nAnswer: -11*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53943002 and -1350.\nAnswer: 53941652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 5*h - 4*h + (2 + 2 + 3)*(h - 2 + 2))*(-34*h**3 - 70*h**2 + 2*h + 70*h**2) as g*h**3 + i*h**4 + p*h**2 + z + j*h and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/10)\/((-10)\/200*66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 6. What is the lowest common multiple of 4 and k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {f: 3, o: 1, p: 1, v: 10}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 - -20. Let p = -186.99954 + y. What is p rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4366049 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(637) - sqrt(637)) + sqrt(637) - sqrt(637) - (-1 + sqrt(637) + 3)) + (sqrt(637)*2 + -5)*6)**2.\nAnswer: -5236*sqrt(13) + 78233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -12.\nAnswer: -12, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 81. Suppose 0 = 26*p - g*p + 3. Suppose 98 + 22 = p*y. What is the greatest common factor of 60 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 12*i + 6. Let g be a(0). Solve g*y = -10 + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371838 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49527961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*c + 18 = 0. Let i be (42\/4)\/(c\/480). What is i rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxoxxxoxooxoxxo. What is prob of picking 1 z and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (181 - 181 + 178*p)*(-1 + 2 + 1)*(6*p + 0*p - 4*p) as c*p + y*p**2 + s and give y.\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 150*a - 1562 = 0. Solve -a*j - 256 = -278 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (-3 + 57\/6). Factor 81\/2 - 81\/2*n + 27\/2*n**2 - v*n**3.\nAnswer: -3*(n - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -9 + 3)*(0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Let i be n + -4*4\/(-16). Let q be -3 + (-2 - (-21)\/i). Calculate the highest common factor of q and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4972, -10591, -16210, -21829?\n\"Answer: -5619*u + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1312 - 1308. Let l = 2 - 2. Let k = l - 0.2. What is the closest to -2\/3 in k, i, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 25*m - 140. Suppose 5*n + 5*o = m, -2*o + 3*o = 4. Let p = -5 + 5. Solve 0*s + n*s + 3 = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4748095 to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-7 - (3 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -0*x + 2*x. Let r(f) = f**2 + 5*f - 3. Let n be r(-3). Let d = x + n. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 - 308 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -15*p - 2. Let o(g) = 15*g + 2. Let i(r) = 5*o(r) + 6*u(r). Determine i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 2*n**2 + 3254*n + 662*n**3 - 3254*n.\nAnswer: 662*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807337 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let h = -0.4 - -0.5. Let z be -7 - (-5)\/((-5)\/(-2)). Sort q, h, z.\nAnswer: z, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -16.2811?\nAnswer: 227.9354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + sqrt(68)*3))\/((sqrt(400)*4 - sqrt(400) - sqrt(400)) + sqrt(400) - sqrt(400)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -111, -62 in descending order.\nAnswer: 4, -62, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 955043*y**5 + 258683*y wrt y?\nAnswer: 19100860*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31465.55km?\nAnswer: 31465550000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7369 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2699*k - 2526. What is o(1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/75)\/(20\/(-90)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 9 + 21 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 4372*a + 49*a**3 + 4372*a + (-3*a**3 + 5*a**2 - 5*a**2)*(0 - 3 - 1).\nAnswer: 61*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(5\/8)*f**(-2\/5)*f assuming f is positive.\nAnswer: f**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 6. Let v(x) be the third derivative of -x**5\/60 - 5*x**3\/6 + 10*x**2. Calculate 4*p(o) - 5*v(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1906 + -1437. Calculate the greatest common factor of n and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15295649 divided by 37?\nAnswer: -15295649\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968288*k + b - 13 = 968285*k, 0 = -4*k + 2*b - 0*b + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 44.9. Which is the biggest value? (a) l (b) 2.3 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 160331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:51 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/15)*k\/((k**(-1\/12)*k*k)\/k)*k)\/((k*k\/(k*k**(-2\/7)))\/(k\/(k*k**6))) assuming k is positive.\nAnswer: k**(-859\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320 + 192 - 637)*(47 - 38 + 20 + (-2 - 1 + 1)*(3 + 3 - 4) - 2 - 1 + 1 + 1 + 2 - 4)*(5*f - 4*f - 2*f).\nAnswer: 16830*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 4, k: 1, d: 1, u: 2, e: 1}. Give prob of picking 2 v, 1 q, and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*x + 207*x + 230*x + 156*x + 183*x - 1165*x.\nAnswer: -277*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2305, 8272, 17961, 31372, 48505, 69360, 93937?\nAnswer: 122236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, c: 4}. Give prob of sequence cj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 351341*t**3 + 262605.\nAnswer: 1054023*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 713.25767 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.95 or -287605?\nAnswer: -287605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, i: 1}. Give prob of picking 3 h and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from {x: 1, l: 1, v: 2, i: 1, p: 6, j: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-125) - (-297)\/(-275).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 - (-1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74343009+-1204848\nAnswer: 73138161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -371.\nAnswer: -371, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 276*t**2 - 273*t.\nAnswer: -3*t*(t - 91)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let t(h) = 2*h - 1. Let f(w) = 2*t(w) + 5*v(w). Let j be f(-12). Let y = j - 6. Solve 4*n - y*g = 0, -2*n = n - 5*g - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/7 (b) 10 (c) 3.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 3, j: 2, m: 4, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.1 - -6.3. Let b = 4.9 + n. What is the second smallest value in -2\/11, b, 2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -29, -43, -49, -41?\n\"Answer: d**3 - 5*d**2 - 8*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111, 113, 117, 123, 131, 141, 153?\n\"Answer: f**2 - f + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Suppose 9 = 4*b - p, 2*p + 1 = 3*b - 7. Let o be 54\/(-12)*b\/(-15). What is the nearest to v in -1\/4, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/165 + 12\/55?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.056291 and -5.\nAnswer: -0.281455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48754 and 222338.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 25 = 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2353, -4706, -7059, -9412, -11765?\nAnswer: -14118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose -y + 2*y = k*c + 3, 26 = -3*c - 4*y. Let i(q) = 2*q + 3. Let o be i(-3). Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 24. Let i = 24 - n. Let y = -137\/3 - -46. What is the closest to -0.2 in 0.1, i, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*g + 173 - 139 - 192 = 754. Let n = 5 + -8. Sort n, 1, g, -37 in descending order.\nAnswer: g, 1, n, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-21)*-9 - 1*2. Let x be (-26)\/(4 - 13 - -8). Solve t = 5*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*q - 76*q - 67*q + 246*q - 40*q + 12*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 - -141. Let z = 68.7 + j. Which is greater: z or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 226 = -2*o + 1422, 20 = -5*f. What is the hundreds digit of (6 - 1) + o + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 28 = 16. Suppose 2 = -5*x - 3*k - 8, -15 = 5*x + o*k. Let t be ((-16)\/20)\/(x\/5). Let l(j) = j - 2. Determine l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 3*w**5\/100 - w**4\/4 - 22*w**3\/5 - 18*w**2 - 115*w - 3. Factor t(f).\nAnswer: 3*(f - 10)*(f + 2)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (5 + 0 - 4)*(6 + 56 + 13)*(4 + 2 - 1))*(n**4 + n + n**4 - 3*n**4).\nAnswer: -377*n**4 + 377*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -1, 6\/5, -23\/2, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172, -199, -244, -307, -388?\n\"Answer: -9*f**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 7*m + 835 = -2*m, l + 51 = 2*m + 18 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(55) + sqrt(275)\/sqrt(125))\/sqrt(5) - -1*sqrt(1584)*6)**2*6.\nAnswer: 9084306\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 6*j + 24. What is g(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c + 214. Calculate the remainder when y(-39) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 83\/(-2). Let c = l - 23. What is the remainder when 36 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12728\/5 + -686737\/270. What is the common denominator of 145\/54 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -75. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 4, q: 2, k: 1}. Give prob of sequence kyq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {n: 2, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - p**3 + 2*p**3)*(2*p + 2*p - 5*p) + (2*p**2 - 4*p**2 + 3*p**2)*(81*p**2 + p**2 + 12*p**2).\nAnswer: 95*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1045 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) - ((-1*sqrt(100)*-2 - sqrt(100)) + sqrt(100)))\/(-6*(sqrt(128) - (sqrt(128) - -1*sqrt(128)))).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1685 - 1747 = -13*h. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19420393 divided by 107.\nAnswer: 181499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/48 - z**4\/8 - 8*z**2. Find the second derivative of g(w) wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -899 - -901. Solve -2*h + 5*g - 24 = 0, 0 = -i*h + 4*h + 3*g - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 3*k + 3. Let d be o(2). Let i = d + 2. What is the derivative of -2 - 4*q**3 - q**i - 1 - 2 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82168 divided by -2.\nAnswer: -41084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 204322 and -65.\nAnswer: 204257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022199 to 5 decimal places.\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10454994 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 500.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*r + 6. Suppose -d + 6 = -r. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 + 370620*i**2 + 4447764*i + 13343616 = 0?\nAnswer: -6, 123552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:48 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1526833536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 1556, 3499, 6228, 9749, 14068, 19191, 25124?\nAnswer: 31873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 + 7*q + 7. Let n be s(-4). Solve -3*l - 2*k - n = -0, -4*l - k = 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -5*m**6\/3 + 125*m**4\/4 - 1068*m**3 + m + 2007. What is the third derivative of y(t) wrt t?\nAnswer: -600*t**2 + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 11*h - 33. Let p(m) = 4*m**2 + 13*m - 35. Determine 6*l(v) - 5*p(v).\nAnswer: -8*v**2 + v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254431 + 254248.0208. Let f = 183 + x. What is f rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 36*h**2 - 62*h + 1454. Determine c(18).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 5*r - r)*(34 - 37 - 22) - r + 0 + 0 + 5*r - 4*r - 3*r as b*r + m and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) + 8\/5. Suppose -2*i - 5 - 5 = 0. Let c be (i\/j)\/(4\/(-8)). Calculate the highest common divisor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, -3, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*7744.\nAnswer: 774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107870948 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 284*d**2. Let j(y) = -30952*y**2. Determine 2*j(r) + 219*z(r).\nAnswer: 292*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, m: 2, n: 1, g: 6, h: 2, c: 2}. What is prob of picking 1 h and 1 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 20 = -b, 0 = 6*b - b - 2*i + 66. What is the remainder when 10 is divided by (-14)\/b - 2*1\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 31*k**2 - 142*k - 13. Let i be h(6). Solve -32*x + 3 = -i*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 106, 132, 158, 184, 210?\n\"Answer: 26*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/9, -0.16, 37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeq when three letters picked without replacement from eqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868830 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2)*a)**(-21\/5)\/((a*a*(a*a**(-2\/7)\/a)\/a)\/a**(-12)))**17 assuming a is positive.\nAnswer: a**(-17561\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - o)*(-3*o - 3*o + 2*o)*(1 + 3 - 6).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-1 - (3 + 0)). Factor -12 - 17 + 35*i**2 + 3 + 15*i**d + 6.\nAnswer: 5*(i + 1)*(i + 2)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3234, 3231, 3230, 3231, 3234, 3239?\nAnswer: 3246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3242 = -2*o - 2*s, 5*o + s = 5315 + 2770. Let n = 2717 - o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = -3*h - 568 + 34, -2*v - 5*h = 56 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3981785 (base 10) in base 9?\nAnswer: -7437875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.8. Let h(o) = o**2 + 88*o + 1150. Let j be h(-72). What is the nearest to j in y, -1\/7, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91909 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -24*o + 20. Let x(u) = 0*u**2 - u**3 + u**2 - 1 + 5*u + 4. Let p be x(-3). Solve 0 = o*v - 4 + p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j**(-4\/3)\/j*j))*j*(j\/j**(3\/4))\/j*((j\/(j\/(j*j**(-6)))*j)\/j*j)\/(j**8\/j) assuming j is positive.\nAnswer: j**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4+-6563142930\nAnswer: -6563142934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3))\/(u**(-1\/3)*u))**(-42) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/28 and 25\/1763734.\nAnswer: 3527468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 3*z**2 - 5*z. Let u be a(-4). Suppose -5*x = -u*m - 121, 0*x = -3*x - m + 76. Solve -4*i + n = 15, i + 5*n = -4*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 10*x**2 - 3*x - 12. Give i(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/266466 and 79\/621754.\nAnswer: 1865262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/22 - (-120)\/(-24 + 9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, -0.3, 0, 1\/4, -2\/21, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 44. Suppose 4*d - 5*f = 107, -2*d - 3*d = -2*f - 121. Let p = d - 10. What is the remainder when j is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/9 + 52346*j**3\/9 - 5816*j**2.\nAnswer: -2*j**2*(j - 26172)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4247 + 4246. Which is the closest to t? (a) -51 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - 0) - (-17 - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j**3 + 0*j**5 + 7\/3*j**6 + 0*j**4 - 10 - 5*j**2 + 0*j. What is the second derivative of c(u) wrt u?\nAnswer: 280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 - 5*j + 60. Let x(k) = -187*k**2 - 154*k + 1848. Let s(n) = 154*m(n) - 5*x(n). Let w(f) = -66*f - 3. Determine s(w(y)).\nAnswer: 47916*y**2 + 4356*y + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -1\/720*d**6 + 1\/36*d**3 + 0 + 6*d**2 - 1\/360*d**5 + 0*d + 1\/144*d**4. Factor w(n).\nAnswer: -(n - 1)*(n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, b: 7, z: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.625ml to litres.\nAnswer: 0.988625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**2\/2 + 9*y + 5. Give p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x + 64. Suppose 54 = -3*d - 3*d. Let w(z) = -z**2 - 9*z + 4. Let i be w(d). Solve i = 4*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dla when three letters picked without replacement from {d: 3, a: 1, l: 1, s: 10}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -398688, -1595174, -3589316, -6381114, -9970568, -14357678, -19542444?\n\"Answer: -398828*d**2 - 2*d + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 3*h + 11. Let l(g) = 2*g**2 + 2*g - 6. Suppose 3*u + 9 = -5*s, 0 = -2*u - 1 + 5. What is s*t(i) - 5*l(i)?\nAnswer: -i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13.44635*-0.5\nAnswer: -6.723175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 0.4, 0 in descending order.\nAnswer: 187, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000999608 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9630 by 4815.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 830*f + 241*f - 20704*f - 457*f - 7234*f in the form h + j*f and give j.\nAnswer: -27324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 2*w)*(23 - 51 + 26).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.3 (b) -6 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from izizzzzziiizzz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 22 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5 + 3*j + j**3 + 7 - 4. Let s(l) = 3*l**3 + 7*l - 4. Let r(k) = 2*k - 3. Let y be r(3). What is y*s(o) - 7*a(o)?\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 53 - 27 - 25. Let k(h) = h**2 - 2. Suppose 0 = -n - 2*n + 6. Let l be 1\/(-2*1\/(-2)). Give l*k(m) + n*i(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1088 (base 9) to base 8.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 986528937986 - 8.\nAnswer: 986528937978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = -5, 5*t = -6*r + 157. Solve -22*i = -r*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(70)\/sqrt(7) + sqrt(10)) - ((sqrt(102)*5)\/sqrt(6) + sqrt(17)).\nAnswer: -11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460, 920, 1380, 1840?\nAnswer: 2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/20496045 and -74\/3.\nAnswer: 20496045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 1. Let y be h(2). Suppose y*q + 4*l - 3*l = 122, -q - 4*l = -32. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let y be (3 - -4)*(o - 3). Let z be 28\/6 - 2\/(-6). Solve y*l - z = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -b43?\nAnswer: b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let y be (1 + a)*5\/3. Solve i - 21 = y*k + 2*i, 2*k + 12 = -4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 90a09b?\nAnswer: -90a0a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 0.4, 2, 1.57, -2, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/(-104)*-3*(-154)\/105?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 2. Let n(f) = -10*f - 3. Is n(c) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -508168*p**2. Let s(m) = -7*m. What is a(s(o))?\nAnswer: -24900232*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 47 = -4*a + 49, 3*a + 2*s = 68. Let b = -50 + 127. Calculate the remainder when b is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-12)*(54\/(-44))\/9\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428 and 468?\nAnswer: 50076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(-4)\/(-32)*20\/(-3). Let k(n) = -n**3 - 10*n**2 - 2*n - 17. Let i be k(x). Solve i*d + 0 = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -650 less than -654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77137\/156 + -8156\/13. Let t = l + 133. Let i = -2 - -3. Which is the biggest value? (a) t (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 105235718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415054503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*h**3 + 1908*h + 229034.\nAnswer: 267*h**2 + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 18. Let z = 48 - 56. Let c be z*5\/10*1. What is the least common multiple of l(c) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1274277 and 2\/791 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19603 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.359 - 2.359. Put o, 6.8, -1\/3 in decreasing order.\nAnswer: 6.8, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1910.98374 to the nearest integer.\nAnswer: -1911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*p - 46*p + 16*p**3)*(3*p**2 - p**2 - 3*p**2).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/9 + 3014*u**2\/9 - 376538*u\/9 + 11313250\/9 = 0.\nAnswer: -1625, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 7:46 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 625.967.\nAnswer: 68.85637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2895, 11552, 26005, 46242, 72251?\nAnswer: 104020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/10 - q**4\/24 + q**3 - 71*q**2. Let k be 3*2\/6*3. List the prime factors of y(k).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44874 and 1812411?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + k**3 - 2*k**2 - 2*k + 1 - 2. Calculate j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 157044.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 664 and 6306257.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1975568 or 1975569?\nAnswer: 1975568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 38. Let v be x(-21). Suppose c + 21 = -4*g, 4*c + v*g - 9 + 45 = 0. Let b be 3\/1 - 1\/(-5)*c. What is the nearest to 0.2 in -1, -3, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*r + 39. Let g(c) = 1. Let n(d) = -2*d**3 - 6*d**2 - 11*d - 11. Let f(h) = 3*g(h) + n(h). What are the prime factors of f(r)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k + 121*k = 3. Does -4 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1195 (b) 2\/7 (c) -1 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 108 = 4*r. Suppose -d + 4*d - 60 = 0. Let f = d - r. Calculate the remainder when 41 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 6*z - 7. Let f = 17 + -22. Let j(l) = -2*l**2 - 5*l - 6. What is f*b(g) + 6*j(g)?\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 874 + -873.7. What is the second biggest value in -0.1, 5, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 3*t + 3389*t**2 - 6*t - 254*t**2 - 2.\nAnswer: 3135*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -18 - 52. Let d = a + -3. What is the highest common divisor of d and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2 + 53*n + 349. Give m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -2*l**5\/15 - 2*l**3\/3 + 4*l**2. What is the first derivative of s(r) wrt r?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1636 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/69)\/(3189\/48898).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 10. Let v(l) = -6*l - 34. Let x be v(h). Let m = 153 + x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 106\/8 - 1\/4. Let z = n - 25. Let u = 15 + z. Solve 3*j = 2*q - 15 - 2, 0 = -u*q - 4*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 204 = 4*g, -3*r + 2*r - 3*g - 77 = 0. Let d = 160 + r. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uat when three letters picked without replacement from {a: 2, t: 1, r: 1, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**3\/6 - 2*y**2 + y. Let n(r) be the second derivative of 0 - 1\/3*r**3 + 9\/2*r**2 - r. What is 9*b(g) + 4*n(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -1004, -2281, -4074, -6383, -9208, -12549?\nAnswer: -16406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (948\/(-13272) - (-3)\/28)*36\/15.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 22. Let u = x + -7. 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 b(q) = -5*q + 2. Let k be b(0). Solve k*s = -2*g - s + 8, 2*s = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0 - 0) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-80))\/(24\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -15\/11, -1, 93, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/4070 and -67\/40700.\nAnswer: 40700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 4 + 36 - 7 + 3*s**2.\nAnswer: 3*s**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136, -159, -180, -199, -216, -231?\n\"Answer: x**2 - 26*x - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 279 and 85617.\nAnswer: 85896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s + 178 = 0. Suppose -c = -0*c - s. What are the prime factors of c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30\/7 of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36595)\/(-585) - 658\/423.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 2:46 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 941*w + 637. What is z(-1)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 5*o. Suppose -o*w = -0*w + 4. Is w equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1685 + -3019. Let j = 143 - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:49 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65698 + 65700. Let v be (0 - 1\/1) + 2. Which is the closest to 3? (a) -0.4 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2193*t**2 - 30*t - 28. Let z be x(11). Suppose -5*l = -c + z, -4*c + 2*l + 0*l + 1059998 = 0. Round c to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + (1 - (-10 + -2 + 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + -2 + 5. Let p(i) = i. Let f(s) = 2*s + 9. Let k(a) = x*p(a) - f(a). Let b be k(15). What is the highest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6.2, -2\/7, 2\/35, 16, -0.1, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 45. Let i = q - -68. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)\/l)**(-21)*(l\/((l\/(l\/(((l\/l**8)\/l*l*l)\/l)*l))\/l)*l)\/(l\/(l**(-2\/3)\/l)) assuming l is positive.\nAnswer: l**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaeaaaaeeaeea. What is prob of picking 1 a and 3 e?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + z**2 + z**2 + (-4 + 0 + 5)*(-5*z**2 + z**2 + 5*z**2) + (-45*z - 37*z + 41*z)*(2*z + 2 - 2).\nAnswer: -79*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-7 - 2)) + (19 - 19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/12 + 5*d**3\/6 - 10*d**2. Let o = 14 - 9. Give m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057573 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**1\/o*o))**35)**(1\/29) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 7. Which is the closest to -1? (a) 0.5 (b) -5\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2, -3, 2\/9, -4\/7.\nAnswer: -3, -2, -4\/7, 2\/9, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2718, -5411, -8088, -10749, -13394, -16023, -18636?\nAnswer: -21233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(832) + 2)**2 - (sqrt(1872) + (sqrt(1872) - (sqrt(1872)*-2)**2) + sqrt(1872)))*1.\nAnswer: -33296 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24025313.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165987248 divided by 4?\nAnswer: 41496812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-155) + 4\/(-10). Suppose j*z + 4*z + 4*n = 204, -5*z - 3*n = -249. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 5. Let v be n(-5). Let z(k) = k + v*k + 2 - 75*k**2 + 1 - 4 + 80*k**2. What is z(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -38. Let w be 1064\/304*300\/7. Suppose 0 = 9*x - p*x + w. Solve 0 = 2*v - 3*c - x, -4*v - 2*c = 4 - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -461064.47601 - 0.07.\nAnswer: -461064.54601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 262\/2 - (6 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 7*j**3 + 10*j**3 + 3*j - 6*j**3 in the form m + n*j + f*j**3 + z*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-10) - (1 + (-2)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4296320 and 140.\nAnswer: 4296320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5706168\/188 - (-18)\/423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:58 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 187 - 1 - (-4 - (24 + -33)). Calculate the highest common divisor of l and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 684306 and 608272?\nAnswer: 5474448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/7 + 142*b**3\/21 - 48*b**2\/7 + 24*b. Let t(l) = 0. What is l?\nAnswer: -24, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 11*b - 28. Let h be q(6). Solve h*r - 25 = 5*f, 3*f = 2*r + f - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + (-3 - -4) + 10) - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*5*(sqrt(76) + (sqrt(76) - (2*sqrt(76) + sqrt(76))) + sqrt(76)))\/(sqrt(32)\/(2*sqrt(8))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 3*w - 23 = 0, -2*n = -4*w - 14. Solve 0 = -n*s - 13 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.24 * 0.015.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5985 divided by 347.\nAnswer: 5985\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 45 = -4*g. Suppose -4*s + 1833 + 6 = 3*a, g*a = 4*s - 1831. Is s a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25992 is divided by 568.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26350 + -29527.4. Let k = 3177.370939 + q. Let w = k - -0.029. Round w to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 68*u = -t, -u = -t - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 505*y**4 + 340*y wrt y.\nAnswer: 6060*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**3 + 12*d**3 - 3*d**3 + (d + 4*d**2 - d)*(5 - d - 5) to w*d**2 + f*d**3 + p*d + y and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -10*s - 39. Let u be (-2)\/s - (-11)\/561*6. Which is bigger: 1\/2 or u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/4 - 3489*z**2\/4 + 1002105*z\/4 + 7186725\/4 = 0.\nAnswer: -7, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 25\/4*z**3 + 0*z**2 - 5\/16*z**4 - 3\/10*z**5 + 213*z + 0 - 1\/40*z**6. Factor x(b).\nAnswer: -3*b*(b - 2)*(b + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 46873012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -328, -624, -990, -1420?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.263? (a) -0.3 (b) 122 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -14*s + 84. Suppose -s = -9*w + 2*w. Suppose w = 5*d - 94. What is the highest common divisor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 69 = -5*d + n, -3*d + 3*n = 45. Let f = d + 21. What is the units digit of (-4)\/(-12)*f*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - -4) + 47 + -46 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 29 = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -56 - 54. Suppose 0*w - 3*w = 2*f + 23, 5*w - 5*f = -30. Let b be (w - 3)*((-9 - -4) + 4). What is the highest common divisor of b and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27 - (-2 - (2 - 5)). Let r = j + -2. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*z + 778 = 106*z + 678 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 765108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75964 and 1627800?\nAnswer: 11394600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.418 to one dp.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*k = -1146*k - 6138 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojjjjo. What is prob of sequence ojo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 times -8.13?\nAnswer: 4243.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495056921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:57 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 34*l - 11 = 111. Solve 0*y - y + 12 = 2*k, -12 = l*y - 5*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3074*o**3*x**3 - 7*o**3 + 5*o*x**4 + 461*o*x**2 wrt x?\nAnswer: -18444*o**3 + 120*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5072.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -131*8\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/240 and 47\/224?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(2\/5)\/n*n)\/n)**16)**(4\/9))**42 assuming n is positive.\nAnswer: n**(-896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.657222 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q = -9, 0 = 5*o - 3*q - q + 2. Suppose -l = 3*w - 0 - 3, 5*l + o*w = 28. Let v = -8 + 14. Solve v*d - 3*y + 22 = d, -d - l = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 168.6.\nAnswer: 1180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -84, -4, 138, 360, 680, 1116, 1686?\n\"Answer: 3*z**3 + 4*z**2 + 3*z - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27233517\/172 - -158335. What is the common denominator of 9\/602 and o?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236786*b**3*p**2 - 637*b**3 - 3*b*p - 47 wrt p?\nAnswer: -473572*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288))**2*3 + 3 + 3*sqrt(450)*-2.\nAnswer: -90*sqrt(2) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k + 1. Let z be (2 - -1 - 2)*2. Is z greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1251120*y**4 - 4*y**2 - 277048*y?\nAnswer: -30026880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(2\/13)\/g)\/g))\/g)**(2\/17)\/(g\/((g*g*(g*g**(-2\/63)\/g)\/g)\/g)*g*g)**(-10) assuming g is positive.\nAnswer: g**(423496\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = -0. Suppose s*p - 3 = 1. Find the common denominator of -73\/12 and 2 - (p + (-375)\/(-40)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15154 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -80. Suppose 5*h - 443 = -a, v*h = a - 4*a + 185. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*v - 8662 = -140*v + 4793. Calculate the remainder when 2374 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m + 36*m - 17*m + 86*m**3.\nAnswer: 86*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78959327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from {n: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 10. Let r be l(-3). Solve -s - s = -2*d + 6, 3*s = -r*d + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*h - 380 = 0, 5*d + 1318 = d - 8995*h + 8978*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 1\/(-5)*31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 44 - 49)*(-2*i - i + i + (2*i + 0 + 0)*(3 + 1 - 2) + 4*i + 4*i - 3*i - 3*i + 2*i + 2*i).\nAnswer: 152*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12655478?\nAnswer: 2, 11, 575249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*q - 13, q + 25 = 2*w - w. Find the second derivative of -21*h + 67*h - 29*h + w*h**4 wrt h.\nAnswer: 336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:15 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 21*j**2 - 18*j + 93. Let a be y(-22). Let u(d) = d**2 + 2*d - 1. Let k be u(-3). Solve k = a*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46892818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1, 1\/9, 653246, -3 in ascending order.\nAnswer: -3, -4\/7, 1\/9, 1, 653246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f**(2\/5))**(11\/4) assuming f is positive.\nAnswer: f**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 16. Suppose -3*y + x + x = r, 2*x = y + 6. Let j(a) = -2 - 2*a - 2*a**3 - 3*a**2 + a**2 - a**2. Calculate j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)\/q*q*q**(-5)*q*q)**(-44) assuming q is positive.\nAnswer: q**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 799089153 a multiple of 1804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 7\/36*l**4 + 2\/9*l - 9 - 2\/27*l**3 - 7\/18*l**2. Factor h(u).\nAnswer: (u - 1)*(u + 1)*(7*u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.37 + -0.27. Let q = -104.3 - -106. Let k = p - q. Which is the biggest value? (a) 1 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.158.\nAnswer: 0.0632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.019 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -19. Suppose g*p - 10 = 5. Suppose -2*c = p*l - 165, -l - 2*l + 99 = -2*c. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j - 2. Suppose 13*b = 12*b + 9. Suppose -q = 4*q - 10, -3*l + 3*q = -b. Suppose 0 = -w + l*f + 7, -f + 5*f = 3*w - 10. Calculate z(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*w + 5*w. Let d(q) = q - q - q + w. Let z(a) = -10*a. Determine z(d(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 + -330 + -17 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.87 - -0.33. Let b = 4 - h. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*h**2*z**2 - 77*h**2*z + 29943857*h**2 + 2081*z wrt z.\nAnswer: 96*h**2*z - 77*h**2 + 2081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - q**2 - 2*q - 1. Let t be j(-1). Let u be (t - -2)\/((-2)\/4). Suppose 2*o + u*s - 2 = 0, o - s - 3*s = 21. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*u - 19*u + 6*u)*(-2 + 4 - 6)*(7*u - 4*u**2 - 7*u) in the form k*u**2 + d*u**3 + w*u + q and give d.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/6 - 10*m - 2. Let o(g) = -5*g - 46. Determine x(o(y)).\nAnswer: -5*y - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -442*l**2 - 26964*l - 105. What is h(-61)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69405\/22 + 3154. Calculate the common denominator of 87\/20 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -67. Let x = 35 - y. Let w be (-20)\/(-6)*(-24)\/(-10). Sort 1, w, x, 3 in descending order.\nAnswer: w, 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -11132?\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21112321 (base 4) to base 15\nAnswer: b554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - -206. Suppose 4*w - 22 = -10. Find the second derivative of -542 + 4*y**w + k + 268 - 35*y wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 378420*j - 378423.\nAnswer: 3*(j - 126141)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157107390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25619 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3a10?\nAnswer: -3a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7905 and -3155.\nAnswer: 24940275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17381966 divided by -177367.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 132139871 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 172096974 divided by -8195094?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21*(-1 + 5 + (-14564)\/33). Suppose -2834 + x = 10*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 3 + 3)*(3 - 2 - 2 + (4 - 2 + 0)*(-3 - 1 + 3) + 3 - 5 + 3 - 5 + 2 + 2 + 0 - 3 + 1 + 3 - 5 + 4) + (4 - 4 + 79)*(-1 - 3*x + 1))*(x + x - 5*x).\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434794.\nAnswer: 2, 217397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 4 - 4)*(-w + 0*w + 2*w + 2*w + w + 4*w + (3 - 2 + 0)*(-1 + 1 - 2*w)) to l*w**2 + g + z*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11528 - -11528.39. Which is the smallest value? (a) f (b) -29 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 26, 36?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, 1 z, and 1 h when four letters picked without replacement from jzyjhtnyttzntjj?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 27*t - 4. Calculate f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from zpzpppqppppqppqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 152304*n**3 - 456948*n**2.\nAnswer: 4*n**2*(n - 3)*(n + 38079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9691242 divided by 11?\nAnswer: 881022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a + 63 = -201 + 54 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*l + 15, 2*o - 716*l = -721*l + 32 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-6 - (6 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -200, -377, -598, -857?\n\"Answer: n**3 - 31*n**2 - 41*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g - 49 - 2*g**2 + g + 49 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4))\/j**(-4\/3)*j**7*j**(1\/4) assuming j is positive.\nAnswer: j**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*p - 6\/7*p**2 + 3\/7 = 0. What is p?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 78*w + 2. Let m(q) = -13*q**2 + 157*q - 5. Let b(u) = -5*i(u) - 2*m(u). Factor b(l).\nAnswer: -4*l*(l - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:28 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 16965\/117 - 1*-1.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1 + 0*d**3 - d**3 + 2*d - 3*d. Let u(w) = -18*w**3 + 6*w + 18. Let n(a) = 18*o(a) + u(a). Find the second derivative of n(p) wrt p.\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 295*o**2 - 20698*o - 360. Let p be i(180). Factor p + 2*w**3 + 0*w - 20\/17*w**2 - 12\/17*w**4.\nAnswer: -2*w**2*(w - 2)*(6*w - 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5464 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 7, s: 1, l: 2, j: 1, g: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + (-66)\/(-15). Suppose 14 = -r + y*w, w + 4*w = 5*r + 25. What is the units digit of r + 32*1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 45.6.\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (730*c - 1406*c + 646*c + 12)*(-3 + 8 - 3) to f*c + g and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13337 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1978 and 2372611?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) 1\/9 (c) -35 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {v: 3, a: 2, g: 6, k: 4, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50771.23mg to tonnes.\nAnswer: 0.00005077123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1302 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5800404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 0.48. Let k = 0.209 - p. What is k rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = q, -3*d + 1 = -15*q + 17*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 49 = -2*d, -q - 5 = -3*d - 19. What is the remainder when 78 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(891)))**2 - (sqrt(275) + 2)**2*-2.\nAnswer: -608*sqrt(11) + 32670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 577724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 15*l + 10*l + l as w + c*l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-234)*19877\/(-417)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265235.\nAnswer: 3, 5, 13, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64280 (base 11) to base 3\nAnswer: 11202020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 500? (a) -7 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*h**3 + 19749*h**2 + h - 25780066.\nAnswer: 36*h**2 + 39498*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-3)*(234\/6)\/78?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.6 + 18.9. What is the second biggest value in v, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 10247976.\nAnswer: 5\/10247976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**2\/o))**(1\/3)\/(o\/(o**(-1)\/o))**(10\/3))**(4\/9) assuming o is positive.\nAnswer: o**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*21\/(-14). Suppose 3*i = w, -22 = -m*w + i - 6*i. Calculate the remainder when ((-280)\/(-49))\/((-20)\/(-35)) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-6 + 4 - (sqrt(1764) + (sqrt(1764) - sqrt(1764)*3 - sqrt(1764)))\/sqrt(7))*1.\nAnswer: -48*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 8*g + 3*i + 1077319, -3*g + 3*i = -646389. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110757461 to the power of 1\/2, to the nearest integer?\nAnswer: 45943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 130*y - 1. Let d(m) = -44*m. Determine d(h(r)).\nAnswer: -5720*r + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 6. Let c(h) = -11*h + 18. Let v(t) = 2*c(t) + 7*r(t). Let k be v(3). Let f = -1 + k. What is the smallest common multiple of 1 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19239 - -19239. Solve 73*m - 59*m - 126 = c for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 36*g. Let w(l) be the second derivative of -l**3\/2 + 2*l + 18. What is b(w(i))?\nAnswer: -108*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2723*a + 2817*a - 1504 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 42. Let w = b + 104. Suppose -5*n - 2*t = -18 + 3, w*t = -5*n + 30. Solve 0 = -2*j + j - n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1108317 or 1.21?\nAnswer: -1108317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021012230012 + -2?\nAnswer: 2021012230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -28*k - 642. Let v be s(-23). Solve -2 - 8 = v*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/240 - v**5\/40 + v**4\/16 - v**3\/12 + v**2. Factor c(p).\nAnswer: (p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g = -b + 2212, g - 8763 = -4*b. Let y = -43863\/20 + b. Find the common denominator of (-2)\/11 + (-1011)\/2970 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 3*u**2 + 1\/180*u**5 - 1\/9*u**3 + 1\/72*u**4 + 0*u + 0. Factor l(r).\nAnswer: (r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16633065 to four dps.\nAnswer: 0.1663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1121?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 1 + 0*w**5 - 50*w**2 + 30*w**3 + 0*w**4 + 0*w**6 - 10\/7*w**7 + 0*w. Differentiate o(g) with respect to g.\nAnswer: -1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -4.9. Let z = 8\/7 - 71\/56. What is the smallest value in -2, z, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -911 - -8182\/9. What is the common denominator of r and -5 - 542\/(-84) - (40\/35)\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n**2 + 13*n**2 + 34*n**2)*(3*n - 3*n + 2*n**2).\nAnswer: 68*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let f(a) = -9*a + 2. Let j(d) = -1576*d + 344. Let h(c) = -1720*f(c) + 10*j(c). Determine h(v(p)).\nAnswer: -280*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.006651 in 0.1, -1\/8, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from ssymnymnsnysssssssy.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -242, 6, 32 in descending order.\nAnswer: 32, 6, 3\/5, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 23*g**4 - 7845*g**2 + 647*g**4 + 6*g**5 + 9456*g - 1860 + 18*g**5 + 256*g**4 + 544*g**4 - 1245*g**3 = 0?\nAnswer: -62, -5\/2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989370 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 4173 - 2771 = -3134 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 56 = 3*i, -t - 239 + 192 = -9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8875.1 + 8875. Let s = -0.3 - 0.2. Put s, i, -3, -17 in increasing order.\nAnswer: -17, -3, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 * -0.065\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t = -79 - 579 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -730378, -730350, -730320, -730288, -730254, -730218?\n\"Answer: h**2 + 25*h - 730404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) - sqrt(198)*-2*4 - sqrt(198) - sqrt(198))\/(sqrt(216)*2))\/(5*(sqrt(363)*-1*-4 - sqrt(363))))**2.\nAnswer: 49\/356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014 divided by -6?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49474 + j + 24871 + 24769.\nAnswer: j + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1737970, -3475963, -5213956, -6951949, -8689942, -10427935?\n\"Answer: -1737993*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 289 = -5*z, 4*z - 4*n = 212. Suppose -z = -0*m - 3*m. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 3*b**3 + b + 2*b - 3 + 7*b**2 - 18*b**4 - b + 17*b**4 in the form t*b**2 + h*b**3 + s*b**4 + u*b + o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133800 rounded to the nearest ten thousand?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8572.27 minutes?\nAnswer: 514336.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376 + -371. Suppose -4*o = p + 5, -6 + 2 = -4*p - 4*o. What is the nearest to 1 in p, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27040.7g to kilograms.\nAnswer: 27.0407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9863541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-4))\/3 - 84\/168\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/20*-1)\/(195\/260)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/17622 and -35\/2425428.\nAnswer: 26679708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, h: 4, p: 8, u: 3}. What is prob of sequence ho?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 42 = -48 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:20 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -1245323\/2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 11*n = f + 20, f = -3*n + 15. Solve 2*r + 9 = -4*b + n*b, r - 4*b + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 e when three letters picked without replacement from {a: 1, y: 1, x: 1, p: 2, e: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1552\/7 or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Let a(q) = 6*q - 1. Suppose 0 = 4*d + 12*d - 64. Let z(n) = 7*n - 2. Let y(f) = d*z(f) - 5*a(f). Calculate y(c(i)).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2*d - 10. Let n be z(4). Let k(i) be the first derivative of 23*i**2\/2 - 4. Let h(u) = 4*u. Give n*h(v) + 6*k(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 364100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 83583032.2 to the nearest ten thousand.\nAnswer: 83580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/858*39\/(-15)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2386 - -2530. Solve 0 = 51*q - 27*q + v for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 + 45. Let l be q(0). Suppose -l - 3 = -2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/21863 and 11\/2.\nAnswer: 43726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 507002784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcdkkfd. What is prob of sequence ff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1456)\/455)\/(4 - (-213)\/(-60)) - -6\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -812533192459 and 0.042.\nAnswer: -812533192458.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/58 (b) -15 (c) 1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629707.\nAnswer: 659, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)\/k**(-2\/19)*k**(2\/13)*k*k**(2\/15) assuming k is positive.\nAnswer: k**(-2251\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001255463 rounded to seven decimal places?\nAnswer: -0.0001255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -148195320 divided by 10920?\nAnswer: -13571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:43 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 8*w + 8. Let k = 22 + -14. Let y be s(k). Calculate the greatest common divisor of y and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from awoswch.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394326.6um in meters?\nAnswer: 0.3943266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, z: 5, c: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o + 31*o + 22 = -k, 3*o = k + 14. Suppose -o*z - b = -759, -46*z + 5*b - 185 = -47*z. What are the prime factors of z?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3)*-1 - (-1701)\/777. Let x = -2655\/148 + u. Calculate the common denominator of -89\/14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y + 17. Let t be b(-8). Suppose -t*n + 10*n = 5. Solve -6*s - n = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {u: 5, j: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*b**2 - 303*b**2 + 4*b**2 - 771*b**2 - 299*b**2.\nAnswer: -1176*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(2*r - 4*r + 0*r) + 3 - 3*r + 4*r - 2*r.\nAnswer: -7*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 22 = 2*b, b = 4*d - b + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 41*y + 493 = 0. Calculate the highest common divisor of y and 638.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 694548399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 30. Give t(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 1 + 5*a - 16 + 5.\nAnswer: 3*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146\/(3\/126*4)?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/12*r**4 + 0*r**3 - 4*r**2 + 0 + 1\/60*r**5 + 0*r. Factor y(i).\nAnswer: i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from {o: 3, x: 4, m: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-33 - 0 - ((-45 - -24) + 9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6817*(4\/(-6))\/(228\/18 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w + 14*w - 72 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13237 + 0.03237. Suppose 2*r + 8 - 12 = 0. Let v = 38\/123 + 1\/41. What is the closest to 0.2 in v, o, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - 3. Let s be 3\/(-2)*-4 - 1. Which is the closest to r? (a) -1\/10 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20162, 40347, 60534, 80723, 100914, 121107, 141302?\nAnswer: 161499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1417, 0 in decreasing order.\nAnswer: 3, 1, 0, -1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833016747.\nAnswer: 13, 371770519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 - 343 = 4*r + 4*o, -2*o - 12 = -6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 3*p**8\/56 + 2*p**7\/21 - 115*p**4\/6 - 68*p. Find the third derivative of b(g) wrt g.\nAnswer: 360*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 - 4*b**3 + 5*b**3)*(95477*b + 197 + 95475*b - 190943*b) to the form v*b**2 + c*b**4 + z*b**3 + w*b + x and give z.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 16.625?\nAnswer: -16.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1229*z - 10923 + 26 - 3041 = 3417*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 3 - 3 + (-4*p - 17 + 17)*(0 + 10 + 14).\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 + -13)\/54)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17082)\/(-585) - (-195)\/25\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15778*y + 5. Let p(h) = 2*h + 246. Calculate t(p(d)).\nAnswer: 31556*d + 3881393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**2 + 29*m**2 - 66*m**2 + 0*m + 27*m**2 - 8*m**2 + 2*m.\nAnswer: 18*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.29? (a) 0 (b) -0.4 (c) 1\/7 (d) -0.1 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*l**2 + 2565*j**3*l + 462431*j**3 with respect to l.\nAnswer: 4*j**3*l + 2565*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2 = -f, 3*f - 61*y - 14 = -62*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 877 - 300 - 290 - 284 - 8588*p**2 to i + a*p + j*p**2 and give j.\nAnswer: -8588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, f: 1, b: 3}. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -437 + 438. What is the units digit of r\/(((-7)\/35)\/(488\/(-10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(143) + (sqrt(143)*-1 - sqrt(143))*-3))\/(3*2*sqrt(891) + sqrt(891)))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 4*l**2 - 11*l. Let n be o(6). Let d(q) = 2*q - 1. Let s be d(5). Solve n*c + 12 = s*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 154, 221, 288, 355?\n\"Answer: 67*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**5 + 18*k**4 + 930*k**3 - 18*k**2 - 9*k + 1964.\nAnswer: 780*k**2 + 432*k + 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75560000 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 323438 and 93194.\nAnswer: 5498446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 320 + 310. Let j(a) = -a**2 + 4*a - 1. Give j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + k**3 - k**3 + (-3 + 3 + 2)*(3*k**3 + k**3 - 2*k**3) + 8*k**3 - 27*k - 26*k**3 + 26*k as z*k + m*k**2 + o + y*k**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 184\/(-44) + (-14)\/(-77). What is the common denominator of (q - 358\/(-24)) + -8 + 3 and 73\/69?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 16, q: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**17*(p*(p**(10\/3)*p)\/p)\/p assuming p is positive.\nAnswer: p**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 1, o: 5}. What is prob of sequence uo?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047446524.\nAnswer: 2, 9173, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.3 - 1.7. Let a = v + -48. Which is bigger: 2\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 times -694\nAnswer: -38.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/15 - 16*p**2\/5 + 22*p - 140\/3 = 0. Calculate p.\nAnswer: 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/(-7) + (-10)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -58 + 20 + 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/(-2)) - 1. Suppose g*a + a = 5*m - 125, 0 = a + 5. Let n = 24 + -8. What is the highest common divisor of n and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10186161 or -40744645\/4?\nAnswer: -40744645\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -55 (c) 0.0854\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from {b: 6, p: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*y + 8, -90*y + 94*y = 3*l - 6. Factor -1\/3 + 1\/3*i + 1\/3*i**5 - 2\/3*i**3 - 1\/3*i**4 + 2\/3*i**l.\nAnswer: (i - 1)**3*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572\/7 - -9817\/112. Find the common denominator of c and (15\/(-66))\/(-5)*(85 + 6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9 + 1 + 61*p**2 + 4 as l + f*p**2 + u*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -57*l**3 - 3*l**2 - 20*l - 43. Let w be j(-4). Let r = 7788 - w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 75, -7.8, -0.5 in decreasing order.\nAnswer: 75, -0.5, -5, -7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/41 - 158\/123. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642881.\nAnswer: 642881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/(7\/(-364)). Suppose 18*d - o*d - 3995 = 0. Suppose 3*w + 4*q = 8*w - d, -151 = -w + 3*q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 3. Let b be g(1). Suppose b = l - 1, 14 = 4*q + 3*l - 5. Calculate the greatest common factor of q and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -9)*(((-200)\/(-16))\/((-322)\/(-77)) + -3).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-16))\/(-1))\/((-1293)\/(-1724)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*x + 4, t - 13 = -4*t - 4*x. Let r be (-1)\/t + 410\/50. Suppose -6*a = -2*a - r. What is the highest common divisor of a and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445496 by 111374.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (-5 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25734, -51368, -76990, -102600, -128198, -153784?\n\"Answer: 6*c**2 - 25652*c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/5)\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 131, -0.6, 0, -2\/7, -45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + 36\/10. Suppose -2*o - 6 = -3*o - 2*n, n = -l*o + 10. Let 10*s**2 + 4*s - 7*s**o + 3*s**3 - 4*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(14\/6 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 25. Let i(v) = -v**2 + 92*v + 97*v - 186*v + 10. Let x be i(n). Solve 5*g = -x*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25301402 + 2?\nAnswer: -25301400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -473, 208, 889, 1570, 2251, 2932?\n\"Answer: 681*k - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -26454901\nAnswer: -1\/2404991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.0114?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393607, -393624, -393641, -393658, -393675, -393692?\nAnswer: -393709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 4 - 4)*(-17*f**3 + 1 - 1) + 3*f**5 + 4*f**5 + f**5.\nAnswer: 59*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 891101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*y = i - 40, 0 = 5*i + 2*y - 34. Suppose i*c = -4*r + 2*c + 40, 0 = -2*r + 2*c + 4. What is the remainder when 21 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - (-16)\/576. Which is the second biggest value? (a) 0.54 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*s + 3*s. Find the common denominator of (6\/4)\/((-12)\/23) and 1 + 0 + s\/(-42).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -1\/74 (c) -1 (d) -4 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2496496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-45))\/((-4)\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*r - 6 = 0. Let x = -1100 - -1364. Find the third derivative of -r*k**4 - x*k**5 + 3*k**4 + 251*k**5 + 18*k**2 wrt k.\nAnswer: -780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.97 + -27. Is f not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161554 = -73*v + 75*v. Let w = -50488 + v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 28*q - 9*q**2 - 58*q - q**3 + 25*q + 3. Let j be k(-8). Let v be 1\/(-3)*(j\/14 - -3). Which is the nearest to 0.1? (a) 4 (b) 2.6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2966868.3 minutes to hours.\nAnswer: 49447.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = a + 8*r, -a - r = -6. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppcc. What is prob of picking 2 p and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 912739859 to the nearest ten thousand.\nAnswer: 912740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 + x**4\/2 + 13*x**3\/6 - 21*x**2 + 42*x. Factor y(a).\nAnswer: -(a - 7)*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 379*u - 242. Let p be z(5). Determine x so that 28*x + 21*x**3 - 24*x**2 + 0*x**2 + x**4 - 18*x**3 - p + 1653 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8 + 289*w + 6 + 0 - 99*w - 97*w - 92*w. Let d = 3 - -4. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9220577704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/3 + 4 - 1. Let n(q) = 15*q**2 - 11. Let m(x) = -4*x**2 + 3. Let j(l) = 22*m(l) + 6*n(l). Let c be j(b). Solve -c*u = -u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 1 - 13 - 8. Let y(p) = p. Let u(h) = -x(h) - y(h). List the prime factors of u(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0, -27767 in increasing order.\nAnswer: -27767, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3999 and 1209?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270575037?\nAnswer: 3, 31, 139, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134.00000032 - 134. Round k to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(((-111)\/(-2745))\/(-37)). What is the greatest common divisor of f and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4832900 to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/9))\/v**(-3\/8))**(11\/5)\/((v**(-6)*v)\/(v\/(v*v**(-5))*v*v*v))**(-2\/73) assuming v is positive.\nAnswer: v**(57289\/26280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:47 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512087 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (8\/6 + (-471)\/9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = 992 - 1291. Solve 3*h = o - 18, -n*h + 9 = -2*o - 26*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-1)\/70799952). Suppose -2*m = -6*m + r. Let l be (-4)\/(-10) - m\/(-15). Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13317 + 15500. What is the greatest common divisor of 296 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 + 452 + (-7201)\/(-361)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(3) - 4*sqrt(3)*2).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03436? (a) 0.08 (b) 17 (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-294)*8 - 2\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119384 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -5*n, 13*i - 3*n = 14*i - 15. Solve -5*r + 4*l + 16 = i, 20 = -3*r - 2*r - 5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204612576 divided by -297402\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 2*m, f = 2*m - 4 + 9. Suppose 4*h - 17 = -w, -f*w + 10 + 24 = 3*h. What is the smallest common multiple of w and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(140\/440*33)*-81.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((12 - 80 - 56)*(3 - 2 + 0) + (-5 + 2 + 4)*(0 + 2 - 4))*(17*c - 9*c**4 - 17*c).\nAnswer: 1134*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -1.3. Which is the smallest value? (a) 5 (b) p (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 320*h + 2804. What is g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) - (-2 + sqrt(153))) + 4 + (1 + sqrt(153))*6)**2.\nAnswer: 396*sqrt(17) + 5629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24333409993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*12\/(-9). Let h(j) = -j**2 - 29*j + 133. Let m be h(-33). Calculate the greatest common divisor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97703.56 millennia to months.\nAnswer: 1172442720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 748.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7)\/(p\/((p\/(((p\/(p*p\/p**(-2)*p))\/p)\/p*p*p))\/p)))\/(p\/(p*p*p**(1\/4)))**(-20\/7))**(1\/44) assuming p is positive.\nAnswer: p**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 5939424*r**2 - 35636536*r\/3 = 0. Calculate r.\nAnswer: -8909134, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuunn. Give prob of sequence un.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(17) - sqrt(17)) + sqrt(153) + -2 + (1 + sqrt(1700) + sqrt(34)\/sqrt(2) + -5)*-5 + -1.\nAnswer: -71*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3273577.\nAnswer: 1033, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.410415g?\nAnswer: 7410415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2009 = -3*h - 4*h. Let x = -127 + h. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2016*-36*(-70)\/(-15)*52\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*((-4830)\/(-420))\/((-3)\/(-3)))\/(14\/(-24))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, i: 13}. Give prob of sequence ss.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*l - 4*m, 0 = 4*l + 1559*m - 1563*m + 60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.371698m in micrometers?\nAnswer: 371698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, z: 11, b: 1, g: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -330 * -4.4\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7235 - -7236. Sort -0.5, -48, p, 0.5, -0.1 in decreasing order.\nAnswer: p, 0.5, -0.1, -0.5, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -535836 or 644?\nAnswer: -535836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -405, 16, 15.\nAnswer: -405, 1, 3, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8672514 + 7927486. What is f rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223b50 + 1?\nAnswer: -223b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -3*r, -5*x - 5*r = -3*r - 18. Suppose x*b = -13 + 1. Let v(d) = -d**3 - 5*d**2 + 4*d - 6. List the prime factors of v(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/5, 16, 0, -8.6, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a. Let s be (-2)\/((-12)\/15) + (-1)\/(-2). Let v(j) = -13*j**2 + 3*j**2 + 5*j**2 + s*j**2. Give u(v(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x**3 + 2*x**2 - 1. Suppose 16*h + 3 = -13. Give m(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d + 11127*d**2 + 0 + 2*d**3 + 2 - 11127*d**2 + 7*d**4 to w*d**4 + g*d**3 + o*d**2 + z*d + a and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110222120 (base 3) in base 12?\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**3 - 2*w**2 - 66185*w + 1485855 with respect to w.\nAnswer: 3*w**2 - 4*w - 66185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 + -2467\/16. Which is the biggest value? (a) d (b) -3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 4) + -2 + -42. Suppose -3*g = 5*a - 720, -2*a + 0*g - 4*g + 274 = 0. Let m = a - b. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 56, 61, 66, 71, 76?\n\"Answer: 5*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 547?\nAnswer: 132374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7) + -16 + 21 + -16\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 361698*p - 2893392 = 0. Calculate p.\nAnswer: 8, 120558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v + 0*v)*(128*v**2 + 187*v**2 - 95*v**2)*(-3*v - 2*v + 6*v).\nAnswer: 440*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11569 less than 11569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -66. Let d(c) be the first derivative of 3\/2*c**a - 1\/3*c**3 - c - 2. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-4) - 4) + -19. Let v = 51 + j. Let o(k) = -k**3 - 6*k**2 - 13*k - 6. Let a be o(-4). What is the highest common factor of a and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*x - 5*x = -68, 0 = p - 4*x - 60. Let d = p + -31. What is the remainder when (-2)\/4 - 103\/(-2) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22281139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 41*z - 39*z, 7*z = 42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/2 + 7*i**3\/3 + 5*i**2\/2 - 4*i + 1. Let a be o(8). What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 9, 2*w - 230 = -4*a. Suppose -4*x + a = -24. Calculate the highest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(5*d**4 + 0*d**4 - 3*d**4)*(152*d - 80*d - 62*d + 2).\nAnswer: 60*d**5 + 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 809757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9496 + -5572. What are the prime factors of n?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 64*m**2 + 66*m**2 - 5.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 88 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2672 + 3054. Calculate the remainder when b is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1120 + -681. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + 0 + sqrt(272) + sqrt(272))**2*-5 + -1.\nAnswer: -5462 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 - (2 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9687 is divided by 4839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 35*m. Let f(l) = -411*l. Give b(f(p)).\nAnswer: -14385*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14556 + -21.14556. Which is the third biggest value? (a) -5 (b) j (c) 12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:19 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(96\/28)*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -52. What is the tens digit of ((-880)\/(-14) + 7\/49)*d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 79\nAnswer: -16\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:06 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 0 - 2 + 4*r)*(2 - 4 - 1)*(5*r + 6*r - 4*r)*(-3 - 2 + 2 + 3 + 3 - 4 + (-3 - 3 + 4)*(2 + 2 - 7))*(2 - 2 - 1) to f + u*r + b*r**2 and give u.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434072.\nAnswer: 2, 3, 59753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 4. Suppose -2*i - 5*h = 3, -5*i + h = -h + 22. Let s be f(i). Suppose s + 14 = 2*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 3)*(-3*w + 0*w + w) + (0 - 1 + 0)*(-2*w - 3 + 3) + w - 4 + 4)*(-8 + 10 + 9)*(-4 - 3 + 2) as v + a*w and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 1 y when three letters picked without replacement from sgsgyyyeysyeypyyyett?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3 + 5)\/8). Sort -1, 0, z in descending order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16962 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8074 - -40372\/5. What is the nearest to d in -0.5, 2, 0.5, -746?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.011, 0, -5\/7?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19080 - 7155. Calculate the remainder when c is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 2*g**2 - 3*g**3 + 4*g**2 - 4 + 4*g**3 - 10*g**2 - 2*g. What is h(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38555964 and 3132?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o. Let z be 3\/(-15) + (-331)\/(-5). Let t(x) = 66 - z - x. Calculate t(y(w)).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(637) - (sqrt(637) + 1)*-1 - (sqrt(637)*-2 - sqrt(637))*4 - (-4*(sqrt(637) + 1) + 4)))**2.\nAnswer: 825552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(11) + sqrt(11) + (sqrt(891)*1 - sqrt(11)))**2 + (sqrt(77) + sqrt(77) + -6*(sqrt(77) + sqrt(77)*-4))\/sqrt(7).\nAnswer: 60*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/16 - 2 - (-1)\/8. Solve 2*f - w = -2*w + 1, 4*f = j*w - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y + 52*y - 180*y + 69*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Suppose 0 = 5*l + 2*v + 425, -4*l + 10 = -3*v + 350. Let q = l + 92. What is the remainder when q is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -99, -148, -197, -246?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 2*f**3 + f**2\/2 - 2*f + 1. Is 6 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, -3, -1 in decreasing order.\nAnswer: 18, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242166780 rounded to the nearest one million?\nAnswer: -1242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4077*l**2*p + 6714*l**2 + 978543135*l*p wrt l?\nAnswer: 8154*p + 13428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 24177\/13 - (-267)\/1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -57\/58814?\nAnswer: -57\/58814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 189 + d - 189 - 5*d in the form g*d + b and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -359 and -0.08?\nAnswer: 28.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4821*g**3 + 11*g**2 + 12*g - 14. Let k be z(-7). Let t be 9228*-1*617\/2. Let r = k + t. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 2*d**2 - 4*d)*(7 - 4 + 3)*(73 - 81 + 57) to the form g + v*d + y*d**2 and give y.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-169 - -302) + -293 + 57.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2899, -0.2, -0.3, 0?\nAnswer: 2899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2624 in decreasing order.\nAnswer: 2624, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2\/5, 4, 1\/6, -0.5, -2338?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 224.01882 months?\nAnswer: 0.018668235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 73746.59*-0.06\nAnswer: -4424.7954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 + (-4 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70279969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64062279 divided by -1?\nAnswer: -64062279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 24*y**3 + 0 - 5 + 5 + y**2 + 1. Is l(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897862287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - ((-8)\/48 - 66\/9). Which is the nearest to -0.1? (a) 6\/11 (b) -5 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*b**3*z**3 - 254*b**3*z - 3*b**3 - b**2*z**2 + 10693*b*z + 9595*z**2 wrt z.\nAnswer: 648*b**3*z - 2*b**2 + 19190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 - 39*m**3 + 22*m**2 - 3*m?\nAnswer: -240*m**3 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {g: 2, s: 4, j: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (37 - 37) + 118\/(-1 - -3). Let h = g - 68. Let z(w) = -w**3 - 8*w**2 - 6. What are the prime factors of z(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/49955 and 42\/1285?\nAnswer: 12838435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ske when three letters picked without replacement from nkwkswe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 7*o + 24. Let r be k(-4). What is the greatest common factor of 96 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001010010001 (base 2) to base 12.\nAnswer: -17415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 20.1. Let g(s) = -2*s**2 - 2*s + 2. Let f be g(-2). Which is the biggest value? (a) v (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**5 - j**5 + 2*j**5 + (2*j**2 + 0*j**2 - 3*j**2)*(-j - j**3 + j) - 4 - 2*j**5 + 4 - 3*j**5 + 5*j**5 + 0*j**5 + 5*j**2 - 5*j**5 - 5*j**2.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 827579.8km?\nAnswer: 827579800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 - -111. Let z(u) = -u**3 + 5*u**2 - 5*u + 6. Let k be z(a). Solve k*j = -o - 3*j + 20, -4*o + 2*j - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139346567 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/11)\/f)**(2\/25)\/((f**7\/f)\/f**(-1\/3)) assuming f is positive.\nAnswer: f**(-5213\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, m: 2, v: 5}. What is prob of picking 4 v?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116.5 - 115.5. Sort -3\/16, -1\/3, z in ascending order.\nAnswer: -1\/3, -3\/16, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8*a + 10. Suppose -k = -21 + 14. Let v be p(k). Suppose 2 = -3*u - 1, v*g + 179 = u. Is g != -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796 is divided by 455?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 78. Let y = 26 - v. Let c = -3 - y. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u. Let r(g) = 17*g**2 - 24. Let a(j) = -253*j**2 + 368. Let y(z) = 3*a(z) + 46*r(z). Determine d(y(h)).\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(234)*2)\/sqrt(6))\/((sqrt(750) + sqrt(30))\/sqrt(10)) - (sqrt(39) + (-2*sqrt(195))\/sqrt(5))\/(sqrt(3) + sqrt(192)*-1))**2.\nAnswer: 649\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 7)*4\/(-6). Suppose -q*x = -9*x. Suppose x = 4*d + d - 85. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j\/(j\/(j**(-4\/5)*j))))\/(j\/(j**(-1)*j)*j)**(5\/6) assuming j is positive.\nAnswer: j**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 153871604651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:02 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -39. List the prime factors of 0 - (v\/(-1))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6345)\/(-329) - (-4)\/(-14). Solve 13*j - 18*j - 4*s = z, -2*j - 3*s = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 5*h - 4. Suppose -4 = -h*w + 6*w. Is w smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 4, i: 2, v: 2, o: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6684 divided by 2?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-56)*(-18)\/(-15))\/(24\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/10)*j)**(-3\/7)*j**(2\/29)\/((j*j\/j**(1\/22))\/j*j))**(-16\/3) assuming j is positive.\nAnswer: j**(140352\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 2*a**3 - 12*a**2 + 8*a + 16 = 0. What is a?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109659477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + -2*sqrt(36)*2)\/(sqrt(96)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9654 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 2*r**2 - 77*r - 30. Determine a(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278350?\nAnswer: 2, 5, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/60 and 49\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l**3 + 2*l**2 - 2*l - 2. Let v(n) = 481*n**3 - 65*n**2 + 65*n + 65. Let h be (-6328)\/(-98) + 5*12\/140. Determine h*x(w) + 2*v(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428051?\nAnswer: 13, 19, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539730923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32082183 is divided by 1646.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 2*j**2 - 6*j - 4. Let h be g(5). Let r = 340 + h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6810111310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4743*-1.3\nAnswer: 6165.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Solve q*v = 1 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 + 7*y**2 - 9*y**2 as c*y**2 + t*y + m and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75124.91us?\nAnswer: 0.07512491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 <= 586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -3, -5370, -3\/4, 1\/6, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s. Let q(z) = -2*z - 148. What is q(l(c))?\nAnswer: -4*c - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28510 divided by -8?\nAnswer: -14255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/4 (b) 5 (c) 24 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 593*g**2*q - 2*g**2 + 2*g + 1741*q + 7516 wrt q?\nAnswer: 593*g**2 + 1741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -2\/3 (b) -5 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4489 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3 + 4*v + 3 + 2*v - 5. Let g(n) = -5*n + 4. Let h(l) = 4*b(l) + 5*g(l). Let m(x) be the second derivative of -2*x**4\/3 + x. Determine h(m(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 481 and -568?\nAnswer: -273208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 + 33*p**2\/2 - 50*p + 81. What are the prime factors of i(25)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3961 - 245. What are the prime factors of g?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 13 = -3*o - 4, 31 = -5*o + 2*c. Let h be (-56)\/(-49) + 1\/o. Let f = 12 + h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 546\/(-56) - 1\/4. What is the common denominator of 3\/15 + (-103)\/v and (-38)\/12 - 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6097696?\nAnswer: 2, 11, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 259*p**4 + 6*p**4 + 369*p**4 + (-p**4 + 2*p - 2*p)*(-3 - 1 + 3).\nAnswer: 635*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.403 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.5, 76, 22, 2\/9 in decreasing order.\nAnswer: 76, 22, 2\/9, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*p + 35 = 0, u - 2*p - 40 = -2*u. Solve -5*o + u = 3*z, 2*o - 5*z - 35 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 21 (c) 6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 153586?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-7) - (-4)\/(-14). Let k = 168 - 249. Let w = k - -92. Solve -4*f = n + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -3804755?\nAnswer: -3804760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 10*k = 0. Let h = -2 + 5. Solve k*i + h*i = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 68 = -4*r - 452, 5*f + 152 = -r. Let h = 361 + r. Suppose 0 = 5*m + k - 0*k - 293, -4*m + k = -h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -65. Suppose -27 - s = -9*k. Solve -4*d + 3*d - j = k, 5*d = -3*j - 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/801026103?\nAnswer: 2\/801026103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 2 - l + 10*l + 8*l - 19*l - l**3 - 4*l**2. Determine k(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135584 a multiple of 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8*a - 6*a + 18. Calculate the least common multiple of 94 and a.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 + -252. Let r be z - (272\/(-28) + 8\/(-28)). Solve -5*x = -28 + r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197886*w**5 - 568*w - 52 wrt w.\nAnswer: 3957720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/29 - 49\/87. Suppose -55 + 58 = 3*l. Let d = -16\/85 + 10\/17. Which is the nearest to d? (a) -3 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -2262, -3487, -4756, -6075, -7450?\nAnswer: -8887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70\/3 - 14\/(-21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -19*i**2 - 644*i - 1282. What is c(-2)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.87 - 7.77. What is the smallest value in b, -1\/2, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.166 + 76.166. Let y = -130 + i. Let u = y + 53. What is the smallest value in -1\/2, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (836\/(-2))\/(-2) - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7144)\/171 + 42 - (-151)\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-4 - (2 + -7)). Does 22 divide (-3)\/((k\/90)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*14*75\/(-30). What is the units digit of i\/(-21)*(-66)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 36*x**2. Let b(d) = -78*d + 18. Let m(c) = 15*c + 6. Let o(n) = b(n) - 3*m(n). What is o(f(p))?\nAnswer: -4428*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 + 3*i**2 + 5*i. Let f(t) = t**3 + t**2 - t. What is -5*f(u) - w(u)?\nAnswer: -u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3. Let c(s) = 2*s - 453. Determine -6*a(x) + c(x).\nAnswer: 2*x - 435","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*h + 9*h - 225 = 0, -57 = -s + 5*h. Suppose -517 = -n + p, 3*p - 2897 = -4*n - 829. What is the greatest common factor of n and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-33)*(-4)\/(-10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:02 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 16\/(-30). Let i = 26 - 30. Let c = i - -5. What is the closest to -2 in c, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204536 and 11904.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59062*s**3 - 59062*s**3 + 7*s**4 - 546 + s**2 wrt s?\nAnswer: 28*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2260170 is divided by 604.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/10 + n**4\/4 + 543*n**3\/2 - 776*n**2. What is the first derivative of i(u) wrt u?\nAnswer: 84*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -119. Let h = 59 + 4. What is the greatest common factor of r and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55086 - -332388923\/6034. Let r = a + -11421\/3017. Find the common denominator of r and (10\/6)\/((-8)\/20).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 443*x**2 + x - 3*x + 478*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 5*x)*(-65 - 82 + 7294*x - 7290*x).\nAnswer: 12*x**2 - 441*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -18. Let o(g) = 18*g**2 - 1. Let m be o(t). Let s = -66 + m. Solve 17 = q - s*l + 2, -l = -q + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*m - 2*m + 5*m - 1 - 2 + 2*m**2 in the form n*m**2 + x + l*m and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/55*(-1166)\/212.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149320 is divided by 72549.\nAnswer: 4222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-1\/3)*(s\/s**(2\/31))\/s*((s\/s**(-3\/8))\/s)**6 assuming s is positive.\nAnswer: s**(1433\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -860717 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 3*u**2 - 3*u**2 + (-3*u + 3*u + 5*u)*(2*u**2 + 3*u**2 + u**2).\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (20 - 14) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 4 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from ngwrrwww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11678.\nAnswer: 2, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + 21?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79770 is divided by 760?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -150, -149, -148, -147?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175636218 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 + 7*h**4\/8 + 25*h**3\/6 - 117*h**2. Determine g(-13).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 4250*l + 3. Let v(r) = 2*r - 1. What is i(v(g))?\nAnswer: 8*g**2 - 8508*g + 4255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, -1 in increasing order.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 71, 114, 155, 194, 231, 266?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-2))\/15)\/(-16*(-21)\/336)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -9, -13, -17, -21?\n\"Answer: -4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(-18)*x**(-11)\/(x**(-1\/7)*x) assuming x is positive.\nAnswer: x**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 12, 3*b + 2 = o - 6*o. Let p = 4 - o. Is 10 a factor of (0 + p)*(2 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2014, 2030, 2054, 2086?\n\"Answer: 4*k**2 + 4*k + 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 26, 4, -7, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 13) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455139239 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586238 divided by 1142?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*s + 78 + 14, 174 = -4*z - 2*s. Suppose 4*g - 63 - 257 = 0. Let c = z + g. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/3 + 7*u**2\/2 - u. Let l = 204 + -210. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3151 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(61\/(2989\/1911)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - f - 784 = -r, -r - f = -196. Let a be 1\/(-4) + (-35)\/r. Let j be (-18)\/5 + 1 + 3. What is the nearest to j in 3, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**3 + 2 + 25*i**3 - 2.\nAnswer: 89*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p*p*p**(-1)*p*(((p**(-1)*p*p)\/p)\/p)**(-2\/9))\/((p*p*p*p*p**0)**(3\/4)\/((p*p**(2\/5)\/p)\/p*p**(-2\/5))) assuming p is positive.\nAnswer: p**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+1.870873479\nAnswer: 2.040873479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 83, 124, 167, 212, 259?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2596364651, -2596364650, -2596364649, -2596364648?\n\"Answer: f - 2596364652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/8 (b) -0.06 (c) -11 (d) -4 (e) -16\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32279 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 - 5 = 0. Let n(w) = 4*w**2 - 6*w - 3*w**2 - 1 - m. Give n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2883*q**2 + 62*q**3 + 59582*q - 113 + 1\/2*q**4. Factor z(d).\nAnswer: 2*(d + 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27899 is divided by 426.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:42 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368057 is divided by 73597.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 58 (c) -1194 (d) 1 (e) -2 (f) -1\/4 (g) -1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - 18*z + 3. Let o be ((-4)\/(-16) + (-33)\/(-12))*-2. Let r be l(o). Solve -7*g - 11 - r = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -3826517?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -22*o. Let q(b) = -7*b. Let s(g) = -39*g - 345. Suppose -5*z + 25 = 0, 2 = -3*x - 4*z - z. Let k be s(x). What is k*a(d) - 20*q(d)?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983385 at least 1983380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*3\/(-180) + (15300165\/180 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 151337*p**2 - 44502682*p\/3.\nAnswer: p*(p - 98)*(p + 454109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3)\/(3\/(-24)). Let o = p + 3. Suppose -4*r - 3 = -o. Solve 0*l - 5*v = 2*l - 21, -2*l + r*v = 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 24*s**2 - 5*s + 5. Let h(t) = 11*t**2 - 2*t + 2. Let m(r) = 5*h(r) - 2*o(r). Let b(u) = -6*u**2. Let n = 9 - 11. Determine n*m(a) - 3*b(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*z = 9*x + 25, -2*z = -2*x - 10. Put 1, x, 3 in increasing order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 245, 5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -477, -478?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/328 + (-100971)\/4797?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*786474.\nAnswer: -157294.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902932 is divided by 17036?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 4*o + 8. Let q be y(7). Let m = q + -144. Let l = -41 + m. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 6*u - 4*u)*(u**2 + 0*u + 0*u)*(0*u + 4*u - 5*u).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16358 - 16357.99848624. What is u rounded to 5 decimal places?\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:50 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 4. Let i be d(9). Solve -2*z - 2 = -3*w, 2*w - 18 = -i*z + 3*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -32.9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)*z))**(-28)\/((z*z**(-5)*z)\/(z*z\/(z\/(z\/(z\/((z\/z**(5\/6))\/z*z)))*z))) assuming z is positive.\nAnswer: z**(-317\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:15 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -459953203.2 rounded to the nearest one hundred thousand?\nAnswer: -460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/126480 and 9\/217.\nAnswer: 885360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. What is the first derivative of 2*j + j - 3*j + r*j**3 + 2 wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1478*h**2 - 7*h - 25. Let k(f) = 1477*f**2 + 6*f + 25. Let s(a) = 3*k(a) + 4*n(a). Let m be s(-5). Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-2256) - 90\/94)*(-16)\/(-22).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 6 + 12 = 0. Suppose 4*y - 25 = m*b, 0*b = -5*y - 2*b + 14. Suppose -4*x + 20 = -y*h + x, 2*x - 8 = h. Which is smaller: 1\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 4*y + 16. Let p(m) = -m**3 - 3*m - 15. Let i = -139 + 137. Let z(s) = i*x(s) - 3*p(s). What is z(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649*o + 634*o + 90 = 0. Let w(c) be the second derivative of 15*c - 27\/28*c**4 - 3\/7*c**2 + 0 - 13\/14*c**3 - 69\/140*c**5 - 1\/10*c**o. Factor w(g).\nAnswer: -3*(g + 1)**3*(7*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 774 = 5*t - 8*t, -6 = 3*t. Let s be 1*(-1)\/3 - w\/(-60). Solve -3*h - s*c + 15 = 0, -2*h + 10 - 2 = 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20012000120120 (base 3) in base 6?\nAnswer: -154243453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3180 or -3208?\nAnswer: -3208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 18*d = 2*v - 12, -3*d - v + 51 = 0. What is the greatest common factor of 174 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 576, -2, 4 in ascending order.\nAnswer: -2, 4, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 4*c - 3*c + 7 - c**2 + 0*c**2. Let w be r(-5). Let b(s) = s**3 + 2*s**2 - s - 9 + 9. Determine b(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45784, 86897, 128010, 169123, 210236, 251349?\nAnswer: 292462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 1300716.\nAnswer: 39021.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -22, -40, -60, -82, -106?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r + 17. Let c(g) = 3*g + 5. What is 7*c(u) - 2*k(u)?\nAnswer: 2*u**2 + 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.656 + -0.344. Is 6\/85 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaqqxqiaxxxaqqixxahh. Give prob of sequence hhqa.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7 - k + 3 + 34*k**2 - 4*k. Is g(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:56 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239860 and 46.\nAnswer: 5516780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen tenths of a meter?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 6129 - 6126 - 4*b - 4*b**2 + 2*b**2 + 0*b. Let z(o) = -7 + 1 + o**2 + 7*o + 8*o**2 + 1. Determine 5*g(u) + 3*z(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 4830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 26*h - 119. What is y(9)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b + 27*b + 78 = -25*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - u + 4, -7*v + 2*v = 2*u - 11. Suppose -5*p + 1 = -v*o, -11 = 5*o - 1. Which is smaller: p or -2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + u**2 - u - 5681*u**3 - 1 + 2*u**4 + 5679*u**3 to the form y*u + f*u**4 + d*u**3 + t*u**2 + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9426.709 years to millennia.\nAnswer: 9.426709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 8. Let o(c) = 10*c - 289. Let f be o(30). Suppose -f*j + 104 = -x*j. What is the greatest common factor of 65 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 29*s = 225. Suppose 2*n = b + 45, -4*b - 5 + s = 0. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1)*-3 - -6*sqrt(125)*-2)**2 + -1 + (3 + sqrt(125) + 1 + sqrt(125))**2.\nAnswer: -370*sqrt(5) + 28649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/(-24))\/((-5)\/(-280)). Let p(a) = 12 + l*a + 2*a**2 - a**2 - 128*a - 2*a**2. Give p(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 1 + 0*n**2 + 0 - 2*n**2 - 3*n**2 - 2*n**2 + (-1 + 2 - 2)*(2*n**2 + 4*n**2 - 4*n**2) to the form g*n + z*n**2 + a and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162035512027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-8)\/(-160) + 12\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075*x = 1072*x + 630. Calculate the common denominator of -1\/61 and ((-70)\/(-165))\/(20\/x).\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let v = -11 + 13. Let s(r) = -2*r**v + 4*r**2 + 4*r**2 - 3*r**2. Give s(f(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-1))\/(1353\/984 - (-3)\/(-8)). Suppose -10 = 3*g - 4. Sort g, r, 10 in decreasing order.\nAnswer: 10, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + j)*(6 + 1 - 2) - 3*j + 0*j + 2*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 3, a: 1, t: 2}. What is prob of sequence ll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 5*y - 2. Let f(b) = b**2 - b - 1. Let l(t) = -2*f(t) - p(t). Determine l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 21296847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 1.8, 5, -4\/43, 3\/4, 2\/9 in increasing order.\nAnswer: -4\/43, 2\/9, 3\/4, 1.8, 2.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + q + 1. Suppose -48 = -4*c - h - h, -5*h + 3 = c. Let d = 16 - c. Suppose d*t = v, -3*v - 5 + 0 = -4*t. What is o(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4119, 5, 1 in increasing order.\nAnswer: -4119, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-5)\/(20\/12). Suppose 0 = 3*z - y - 2, k*z - 4*y - 7 = 1. Suppose -2*g = -b + 1 + 2, z = -3*g. Solve b*o = 6*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.27 plus 9?\nAnswer: 27.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-180)*609\/224 and 53\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774 divided by -3.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -140. Suppose s = 6*s - u. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -34) + -13 - (-2 - (0 - 8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1749)\/2862)\/((-1446)\/9) and -22\/15.\nAnswer: 14460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.52 times 14.7\nAnswer: -22.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -32, -68, -126, -212, -332, -492?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t**3 + 1765*t**2 - 19580*t + 2420 = 0. Calculate t.\nAnswer: 1\/8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(7\/(2793\/7)). Let y = -72 - -132. Suppose -f*h - y = -22*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111344*l - 483687 wrt l.\nAnswer: 111344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 801487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1007484 or 1007483?\nAnswer: 1007484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35212 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 483 = 69*m - 80. Solve 0 = -m*s + 9 + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Let r = 0 + q. Let j be (1 + 0)\/(r\/12). Let t(p) = p - 1. Calculate t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-1725)\/(-420)))\/((16\/(-10))\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15692 is divided by 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-17632)\/(-342))\/29)\/(63\/(-81)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2 + 21*s - 12*s**2 - 10*s**2 + s**3 + 32*s**2 - 8*s**2 - 10*s**2. What is the remainder when 42 is divided by t(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - j + 36 = 0, -3 = -2*p + j + 33. Let b be 72 + (-54)\/(-33 - -36). Calculate the highest common divisor of p and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1400 + 422?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68243445.\nAnswer: 3, 5, 61, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -83172*n**2 - n + 2. Let c(q) = 2*q**2. Calculate g(c(b)).\nAnswer: -332688*b**4 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 13483, 0.1 in increasing order.\nAnswer: -1\/5, 0.1, 13483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 - 3*l - 9*l + 6 + 4 + 7*l.\nAnswer: -5*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:28 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -585873 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.3 and -1.5.\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-135))\/((-232)\/(-348))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * 3475926\nAnswer: 12860926.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-659103)\/(-6) - 4*(-4)\/16)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2213 - -12434?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - v + 13 = -18, -5*c - 49 = -4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3. Let y be 70\/28*(-6)\/(-105)*-6. What is the nearest to h in 0.4, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -218. Is f > -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.6619551 to the nearest integer.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 775755*b**2 - 4654665*b - 6982065 = 0. What is b?\nAnswer: -3, 155157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 0.282 (c) 2 (d) -4\/3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 2 in decreasing order.\nAnswer: 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8041.296 litres?\nAnswer: 8041296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78109 + 156224 + 146841 = 3737*a for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591949?\nAnswer: 3, 11, 41, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 581216 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/188560804 and -103\/5545906?\nAnswer: 188560804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2196\/305*(-3)\/((-9)\/(-1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*n - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*k - 5*i, -4*i + 3*i + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2))**(-2\/35)\/(t**(-6)\/(t\/(t**(2\/7)*t))))**(-47))**(-35) assuming t is positive.\nAnswer: t**9588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/9*5\/(-3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let l(s) = 1754*s**2. Calculate l(d(i)).\nAnswer: 1754*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, g: 2, v: 3, b: 6, k: 1}. Give prob of sequence gg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4 = -4*k. Let t be (5 - k)\/(0 + (-2)\/(-2)). Solve 1 = 2*r - 3*r, -3*y - 2 = -t*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312302123 - 12?\nAnswer: 312302111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38984 (base 11) to base 8\nAnswer: -154710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 times -0.4?\nAnswer: -569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 505936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 752 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 468?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r - 3. Let d(i) = -i**3 + 3*i + 3. Calculate the lowest common multiple of a(5) and d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550244 divided by -1822?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 83?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586409?\nAnswer: 29, 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 506 = 4*k, -4*i - 8*k + 265 + 795 = 0. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/20 - s**4\/12 - s**2. Find the second derivative of y(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 4276107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 91 = 5*n, -6*n = -2*n - 5*s - 96. Let k = n - 0. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*j = 16, 5*j = 4*d - 12 - 4. Let z be d\/(-7)*5\/(-10). Let s be (1 - 7) + (10\/8 - (-4)\/(-16)). What is the biggest value in z, s, -3\/5, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9179 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2261*a - 981*a = 796*a + 1936 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*w = -22*w + 94*w + 59*w - 3332 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 15.7. Let v = 0.7 - c. Let w = 0.965 + v. What is w rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*u**2 - 140*c*u*y**3 - 2*c - 88988*u**2*y**3 + 23*u*y - 4*y wrt u?\nAnswer: 10*c - 177976*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -9*x**3 + 31. Let v(a) = -2*a. Determine v(s(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1347862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126 + -59?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/3 - -1 - 2. Suppose 44 = 4*d - 4*t, 2*d - 44 = -2*d - v*t. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457570600 and 80.\nAnswer: 915141200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3*2\/(-6). Suppose 9 = 3*u + 5*f, o + 2 = -5*u - 2*f. Find the common denominator of -23\/11 and -20*(-3)\/(-9) + u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in -1, 50\/17, 17, 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1784004, 1783962, 1783892, 1783794, 1783668, 1783514, 1783332?\n\"Answer: -14*y**2 + 1784018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118412662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let q(l) = -723*l**2. What is w(q(m))?\nAnswer: 723*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42344255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/682587 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 - -97. What is the units digit of (52 + 24)\/(g\/1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148 + 29?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 101*r - 104*r + 1.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.4.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**27\/s**(3\/2) assuming s is positive.\nAnswer: s**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 314*a - 95 - 106 - 316*a.\nAnswer: -2*a - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qew. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, -759, -4, 30, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 7*m**2 + 8*m. Let u(c) = -c**2 - 10*c - 8. Let d be u(-8). Let a be p(d). Suppose -n - 2*n + 9 = a. Solve -n*v = -8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -1100 (b) -3\/4 (c) 9\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 461?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184224*j**5 - 307478*j.\nAnswer: -3684480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 59. What is the nearest to -2\/9 in -0.1, 0.2, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12151, -24297, -36425, -48523, -60579?\n\"Answer: 2*q**3 - 3*q**2 - 12151*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*d - 12 = 0, 0 = 5*l + 2*d + 7 - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0186 - -11.6086. Round g to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(21) - sqrt(105)\/sqrt(5))*2)\/sqrt(3))**2*1 + 0)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/1113)\/((-6)\/(864\/80)))\/3?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -6*44\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -606, 1, -133, -5, 11, 5 in ascending order.\nAnswer: -606, -133, -5, -3, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/17))\/(a\/(a\/(a*a*a*a**5*a*a)*a))*(a*(((a\/(a\/a**(-1)))\/a)\/a)\/a*a)**(-27\/4) assuming a is positive.\nAnswer: a**(183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6959 = 4*l - t - 18589, 5*l - 31935 = -3*t. What are the prime factors of l?\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*v**3 - 183*v**2 + 15*v**2 - 4194 + 2101 + 2075 - 273*v.\nAnswer: 3*(v - 3)*(v + 1)*(29*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Suppose -2*t + n - 13 = -2*n, 14 = -t + x*n. Let f(v) be the second derivative of v**5\/2 + v**4\/12 - v**3\/6 + 2*v. What is f(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3879545846 and -0.04.\nAnswer: 3879545845.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4.1. Which is the nearest to 1\/2? (a) -0.3 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 9*z + 23. Let k be y(5). Suppose o = 3, 2 = 2*c - o - k. Sort -28, -2, c, -1 in increasing order.\nAnswer: -28, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 4, -32, -90, -176, -296, -456?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -23*z - 35. Let m(h) = 8*h + 12. Suppose 0 = 12*r + 14*r - 1092. Suppose -4*v - c + 71 = 0, 58 = 5*v + 5*c - r. Calculate v*m(d) + 6*i(d).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35130 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let b(m) = -11*m**3 - m**2. Calculate the smallest common multiple of b(y) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -27. Let k be 45\/(-6)*z\/9. Let x = 11 - k. What is the greatest common divisor of x and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a day in hours?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140.8 - 140. Let k = f - -1.2. Sort -0.1, k, 1.\nAnswer: -0.1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(sqrt(720)*1*1 + sqrt(720) + 3).\nAnswer: -360*sqrt(5) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63568 divided by 8?\nAnswer: -7946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 - (2 - (0 - -2)). Suppose 5*z = p - 3*p + 7, -3*z = -3*p + a. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 49. What is the third derivative of 2363 - 2363 + 35*z**4 - x*z**2 wrt z?\nAnswer: 840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:02 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -874?\nAnswer: -874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 967385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -30*d - 211. Let p(w) = -26*w - 210. Determine -7*n(h) + 8*p(h).\nAnswer: 2*h - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42334681?\nAnswer: 6329, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 105\/5*((-25)\/(-5))\/(-45)*(-16)\/24\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071368231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*h + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/12 - 4*t**2. Let s be u(4). Solve s*p + 15 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -35*k + 2557. Let s be q(73). Let o(w) be the first derivative of -5 + 0*w - 1\/2*w**s. Let b(a) = 22*a**2. Determine b(o(f)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6)**(-21\/2))**(-32) assuming v is positive.\nAnswer: v**2016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x - 402*x - 125*x.\nAnswer: -466*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 20552204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**18*s))\/s)\/(((s**21\/s)\/s)\/s))\/(s*s**(-5\/6))**21 assuming s is positive.\nAnswer: s**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/12 + 25*h**4\/12 + 40*h**3\/3 + 246*h**2. Suppose a(c) = 0. Calculate c.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 10:42 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 2*c**2 + c - 2. Let x be i(-2). Let v = 22 - x. Find the second derivative of 7*w**2 + 0*w + v*w**2 + 8*w + w wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 12) + (-1 + -2 - -5) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -3 - -4) + (-2 - -1). Solve -t + 5 = 5*s - u, -3*s - 1 = -2*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f - 6*f**2 + 10*f**3 + 15*f - 9*f**3 + f**3 + 3 - 5 as d*f + m + r*f**2 + i*f**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (136\/(-80))\/(7*(-12)\/840)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egoooaaeeoaeoeo. What is prob of picking 3 e?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let p(q) = 11*q**3 + 9*q**2. Let o(v) = 3 - 3 - 5*v**3 - 8*v**2 + 4*v**2. Calculate n*p(m) + 9*o(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*v**2 + 81*v**2 - 12324*v - 68*v**2 + 12324*v.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p - p - 4*p. Let j(n) = -3*n. Calculate w(j(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -231*w + 4. Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 98*i = -1705209. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -101. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/6, 3, 841, -1, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4408165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 95 - 95 - 2*o**2 to the form u*o**3 + r + z*o + f*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:28 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 80806, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1685749 rounded to 1 decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79194368.\nAnswer: 2, 11, 28123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 26*p**2 + 7878*p + 68774. Determine t(-294).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*n = -1564 - 5208, 0 = -b + n + 3386. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*a - 64*a - 817. Calculate the remainder when 141 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -3 in increasing order.\nAnswer: -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -128 (c) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 224\/3. Which is the smallest value? (a) 1 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1088638363 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 59*a - 7 + 1 - 61*a. Let g be s(-5). Suppose 5*u - 43 - 35 = -g*y, -5*y + 4*u = -118. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000835417993 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124256 is divided by 1124073?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127.608 - -7.348. Let z = v - -1.26. Which is the nearest to z? (a) 2\/11 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let c(n) = -6 - 2 + 14 - 7 - 2*n. Let o(s) = c(s) + d(s). Let g(v) = v**2. Determine o(g(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79312873*c**3 - 53863*c**2 + 790*c.\nAnswer: 475877238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/((a**(-7)*a)\/a)))\/a))\/a**12)\/(a**(-4))**(2\/41) assuming a is positive.\nAnswer: a**(-115\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23632349413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105593?\nAnswer: 23, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x + 1843. Let b be a(74). Let f(h) = -h**2 - 5*h + 25. Give f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 66 = -3*i, -34992*i - 4*x = -34993*i - 3*x + 22 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 744\/(-64) - 6\/16. Let n be (78\/o + 5)*-88. Calculate the greatest common factor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13446, -53773, -120984, -215079, -336058, -483921, -658668?\n\"Answer: -13442*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*7 + 11. Solve -t - u*g + 15 = 2*t, -3*g + 13 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 35121?\nAnswer: -35116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajaa when four letters picked without replacement from aajrararaaaraa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1993570 > -1993556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v**(-3))\/v)\/v)\/(v\/v**3*v))\/((v\/(v*v**(-3)))\/(v**(-2)\/v)))**(-2\/9) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 53 = 7. Let m = 107 - y. Suppose -4*b + 37 + 5 = -x, 5*b = -3*x + m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/112)\/((-264)\/154)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1843*j**2 + 1655*j**5 - 16422*j**4 - 515*j**5 + 16421*j**4 wrt j?\nAnswer: 68400*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.59. Let f = 20.16 - 19.96. Which is the third biggest value? (a) d (b) 1\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -8aad?\nAnswer: -8a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117950 - 156040 = -13*i + 325325. What are the prime factors of i?\nAnswer: 5, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let w(p) = -2*p**3 - 3*p**2 + 5*p + 2. What is the tens digit of w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + 5*v + 4. Let r(n) = 7*n**2 + 5*n + 4. Let l(f) = -5*a(f) + 4*r(f). Let x(c) = -c**3 + c**2 + 4*c - 4. Let s be x(0). Calculate l(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372876 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: Let z = 11 - 6. Suppose -b = -4*b - 9, -3*m + z*b = -45. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39614785 is divided by 890?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/1)\/(6\/40))\/(124\/(-2170)*35)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34432239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 32017297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6072 and 61\/60?\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 - -17.25. Let v = o + -20. Which is the smallest value? (a) 4 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*j - 169*j - 2 + 86*j to the form i*j + h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.7769199 to three dps.\nAnswer: 18.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (1 - -2) + -4. Let w be (o - -1)\/((-10)\/4). Which is the closest to w? (a) -5 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2456, 2455, 2454, 2453?\n\"Answer: -i + 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**6\/36 - 4*u**5\/15 + u**4\/24 + u**3\/9 + 3. Let w(d) = 0. Calculate d.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61735875 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120101 (base 3) in base 2?\nAnswer: -11101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 33*n - 33. Calculate the remainder when q(12) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 + 60*x**2 + 21*x - 50. Calculate p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 + 250 + 76*d**2 - 75*d**2.\nAnswer: d**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 4 = 0, 2*d - 5 = -i. Let a(p) = 6*p**2 - 1 + 1 - 7*p**d. Let x(c) = 2*c**2 + 2*c. Give x(a(h)).\nAnswer: 2*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6509436 is divided by 48218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o + 34*o - 14*o + (3 - 2 - 2)*(-2*o + o + 3*o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -51 - -1*0\/2*-1. Let l = 257\/5 + y. Factor -2\/5*c**4 + 2\/5*c**2 - l*c**3 + 2\/5*c + 0.\nAnswer: -2*c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7512, 15012, 22512, 30012?\nAnswer: 37512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59959 is divided by 559?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62331, -124708, -187133, -249606, -312127, -374696?\nAnswer: -437313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 981*b - 571933. What is q(583)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, o: 6, k: 2}. Give prob of sequence kzk.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = 9*y. Which is the closest to y? (a) -0.2 (b) -0.06 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 172, 381, 634, 943, 1320, 1777, 2326?\n\"Answer: 2*x**3 + 10*x**2 + 165*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + w - 1. Let s be h(2). Let f(p) be the first derivative of 3*p - 1\/4*p**4 + 5\/3*p**3 - 1 - 1\/2*p**2. What is f(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86a8 + 27?\nAnswer: -8681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -34222*28\nAnswer: -958216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -126. Suppose 18*c - 41*c = -17*c - 30. Is 66 + (13\/m - 6\/c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -2. What is the third derivative of -h**6 - 7*h**2 - h**n + 9*h**6 wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7745*a + a**3 + 3890*a + 3850*a - 28*a**2 + 3*a**4 as o*a**2 + y*a**4 + r*a**3 + f + m*a and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 56\/40)\/((-1)\/65). Calculate the highest common divisor of 988 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9751)\/686 + (13 - -1)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(-2\/7)\/w)\/w))**38*(w**(-1\/3))**(2\/3) assuming w is positive.\nAnswer: w**(5458\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*q = 33, -n - 19 = -4*n + 5*q. Put 1, 5, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1189, -1, 5 in descending order.\nAnswer: 5, 4, -1, -1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -64434?\nAnswer: -3\/10739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 7916*o + 7914 = 0.\nAnswer: -3957, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2*(0 + 1)). Let u be 0 - (v + -1) - 1. Factor -k**3 + 0*k**2 + 0 + u*k + 1\/2*k**4.\nAnswer: k**3*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32744778?\nAnswer: 2, 3, 11, 23, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 177\/7 + (-6)\/21. Suppose 5*t - 7 - 3 = 0. Suppose -t*o + r = 3*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = 2*v + 14, 3*v - 31 = 4*b. Let o = 11 - 9. Let t = 1 + o. Solve 1 = 5*u - t*m - 24, -v*u + m = -15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*h - 60*h + 12825 = 0. Calculate the remainder when 3376 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/213*(-135)\/(-30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*1974\/(-28). Suppose 0 = 48*x - j*x. Solve x*i + 8 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94280.81+-93\nAnswer: -94373.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m - 44. Let o(y) = -y - 2. Let l(j) = -b(j) + 6*o(j). Let k be l(-25). Let p(g) = -k*g + 6*g + 24 + 12. Let n(w) = w**2. Determine n(p(q)).\nAnswer: q**2 - 72*q + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292442 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393855055 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20e - 3?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 583940106 and 4?\nAnswer: 583940102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 + 16*y**2 + 0*y - 9*y**2 + 0*y. Let a(m) = -13*m**2 - 3. Determine 4*a(p) + 7*z(p).\nAnswer: -3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -8, 2506, 5, 26, 1 in decreasing order.\nAnswer: 2506, 26, 5, 2, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from fttmmgtmmgttftgmmf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 2, 1 in decreasing order.\nAnswer: 6, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 8*a**2 + 4*a - 8.\nAnswer: -4*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -0.249, -5\/3, -3\/1192?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27100141.\nAnswer: 23, 51229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + -128. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - (-1 + 2)*-2. Let o = l + 12. Suppose -n = 2*b - 30, -1 - 8 = -o*b. What is the highest common divisor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 39*v**3 - 6*v**2 + 8*v + 3. Let b(n) = -n**3 + n**2 - 2*n - 1. Give 4*b(h) + f(h).\nAnswer: 35*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*w + 28*w - 90*w)*(0 + 2 - 1)*(-4 + 0 - 6).\nAnswer: 1510*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 22 = -5*k - 3*u, -4*u + 16 = 4*k. Solve -13 = -k*q + y, 4*q + 5 = 9*q - 5*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029575 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from {n: 1, i: 3, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 + 123 + 23*o - 55)*(-6 - 7 - 4) to c + d*o and give c.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 828, 833, 848, 879, 932, 1013?\n\"Answer: j**3 - j**2 + j + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25039*l**3 + 12521*l**3 + 12519*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2, 3, 4, -2 in decreasing order.\nAnswer: 34, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to 239685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 26 = 27 - 5 - 26, -2*d - 4*s = -5*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 155489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95896553 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: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 4*c - 3. Let i be j(7). Let n = -107 - i. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/55)*l)**(-1\/47)*(l**(-11)\/l)**(19\/2) assuming l is positive.\nAnswer: l**(-294798\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, 1289, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21076 divided by 15056?\nAnswer: 5269\/3764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 91*j - 120 = 0. Solve -2*v - 2 = -4, -w = 5*v - j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(2))*-2 + sqrt(2))**2 - (6*(sqrt(10)\/sqrt(5) + 1))**2.\nAnswer: -76*sqrt(2) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107445675 rounded to five decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83142559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -156.2 and -0.016416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 4 = -27*t. Let z be (-12)\/(-8)*(t + 3). What is the second derivative of 7*i + 2*i**z - 20*i**3 + 19*i wrt i?\nAnswer: -108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 45. Solve -4*f = -0 + t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -45*z - 10. What is the units digit of r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/9 (c) -1\/7 (d) 360 (e) 5 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -n - 65, -5*u + 2*n = -101. What is the remainder when 41 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a - 4*a. Suppose -8 = a*u - 4*z, -5*u + 3*z = -0*u + 10. Let c be u\/(((-21)\/(-6))\/(-7)). Solve -2*d - 1 = -d + 2*l, -5*d - 5 = c*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 32. Let p = 96 + -88. Let h be n(p). Let v(y) = 3*y**2 - 7*y + 2. Let a(s) = 5*s**2 - 11*s + 3. Calculate h*v(z) - 5*a(z).\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t + 2. Suppose 4*z - 86 = -14. Calculate the smallest common multiple of z and 22 - (5 - (t - 1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**3\/11 + 168*c**2\/11 + 1242*c\/11 + 1080\/11.\nAnswer: 6*(c + 1)*(c + 12)*(c + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*a + 4968, 2*y - 7*a + 10*a = 3311. List the prime factors of y.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173833050617 + -4.\nAnswer: -173833050621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634375.5 weeks in milliseconds?\nAnswer: 383670302400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 2210.\nAnswer: 2210.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2010792 - 4*x**3 + 2010792.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.524 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.77028 centimeters to kilometers.\nAnswer: 0.0003077028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 15 = q, 0 = 4*o - 2*q - 34. Suppose -o*h + 13*h - 135 = 0. Let j be 0\/(-2) - (-9)\/(h\/(-5100)). Round j to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 630 = -648 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 80*t + 2. Calculate x(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r + 5. Suppose 8*g - 45 = 13*g. What are the prime factors of l(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/26424 and -8\/129.\nAnswer: 1136232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 251 + 261. Differentiate -353 + 27*d**2 + 104 + w*d**2 with respect to d.\nAnswer: 74*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(350)\/sqrt(7))\/sqrt(10) + sqrt(40)\/(sqrt(8)*-3) - ((sqrt(60) - sqrt(180)\/sqrt(3))\/sqrt(2))\/(sqrt(30)\/(sqrt(5)*-1 - sqrt(5))))**2.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, y: 1, j: 2, n: 3, k: 1}. Give prob of sequence zjn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001465052 divided by -143066436?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(-2*sqrt(242)))\/((sqrt(288) + -2*sqrt(288))*-6).\nAnswer: -sqrt(7)\/1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1165 - -444?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 228, 342, 456, 570?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a factor of 1359524325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 13*s - 27. Solve 0 = 3*k + 3*a - 24, 2*a - 29 = -3*k - s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644 (base 14) to base 10.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/9)\/(-5)*(-12)\/8. What is the biggest value in 1\/2, y, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-9)\/12)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426.99 + -425. Let m = 0.07 + -0.08. Let r = m - k. Which is the third biggest value? (a) 0 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(153)\/sqrt(9))**2 + 3 + -1 + -3.\nAnswer: sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a factor of 26715612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/189 + 48\/63*(-6)\/(-3)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1390*o - 4536. Let z be m(-5). Calculate the greatest common factor of 1136 and z.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 12*w - 7. Let i be z(12). Let c(m) = -m**3 - 6*m**2 + 8*m + 5. Let h be c(i). What is the third smallest value in h, -1, -0.1, -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 - p**4\/3 + p**3\/3 + 9*p. Let l = -207 - -210. Give y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000415 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -3\/40*q**6 + 3*q**2 + 0*q**3 + 1\/8*q**4 + 13\/140*q**7 + 0*q - 3\/40*q**5 - 3\/112*q**8 + 0. Find g, given that f(g) = 0.\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/43)\/(x**(-6\/23)\/x)*x**4*x*x**(3\/14) assuming x is positive.\nAnswer: x**(90299\/13846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*k - 62 = 0, 3*v + 5*k = 51 + 6. What is the units digit of ((-5148)\/(-182))\/(17\/v - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 8*o**3 + 156*o**2\/7 - 152*o\/7 + 50\/7.\nAnswer: 2*(o - 25)*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -24*x**2. Let k(d) = 21*d**2 - 10*d + 10. Let n(t) = -t**2 + 2*t - 2. Let v(w) = k(w) + 5*n(w). What is c(v(q))?\nAnswer: -6144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(1\/9). Suppose 834 = 20*l - 226. Suppose c = -t*a + 273, -146 + l = -a - c. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39934.\nAnswer: 2, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 - 195. Let c(d) = d. Suppose 4*y - 5 = 2*y - s, -3*y + 21 = -3*s. Let v be c(y). Are v and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (1 + 0 + -2). Sort 1, -2, 3, r in decreasing order.\nAnswer: r, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 521*i**2\/2 - 2063*i\/2 + 2585\/2.\nAnswer: -(i - 1)*(i + 5)*(i + 517)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74908 plus -6?\nAnswer: 74902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*h**2 + 43*h?\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 8812433064*k - 8812433064*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16601, 33169, 49737, 66305, 82873?\nAnswer: 99441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/327 and -8\/9.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.3, -7, 0.03.\nAnswer: -7, 0.03, 2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22588686, 22588684, 22588682, 22588680?\n\"Answer: -2*b + 22588688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 84, 197, 354, 555?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*t**3 - 1267.\nAnswer: -354*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.013357\nAnswer: -0.186998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Let s be ((-3)\/n)\/((-6)\/(-8)). Solve -1 = -w - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11014640?\nAnswer: 2, 5, 7, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 27, 25, 23, 21?\n\"Answer: -2*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75141082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*q**4 + (4*q - q**3 - 3*q - 4*q)*(10*q + q - 2*q).\nAnswer: -7*q**4 - 27*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/2)*i**16)\/((i\/(i\/(i**16*i*i*i)))\/((((i\/i**(-11))\/i)\/i*i*i)\/i*i)) assuming i is positive.\nAnswer: i**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -67, -2 in descending order.\nAnswer: -2, -18, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**4 + 88*q**3 + 432*q**2 + 800*q + 512 = 0. Calculate q.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 957331?\nAnswer: 1914662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6*v**3 + 5484362*v**2 - 3656246*v - 1828122 = 0.\nAnswer: -914061, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (165*(-107)\/7062)\/(-5*1\/(-9))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*x**2 - 739*x**2 - 8709*x**3.\nAnswer: -8709*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 37 - 18)*(-3*l + 2*l + 0*l + 1).\nAnswer: 84*l - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30400, -51, 0.1 in decreasing order.\nAnswer: 0.1, -51, -30400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/((-144)\/(-8)))\/(2\/696). Suppose 0 = -32*g - t - 44. Which is the smallest value? (a) 0.1 (b) -1\/4 (c) g (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3174 and -706239.\nAnswer: -703065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/3 - 3*t**2\/2 - 2*t. Let o be p(3). Suppose 15*l - 75 = -45. Solve -22 = 5*b - l, 17 = -c - o*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4 + 17*s**3 + 14*s**2 - 32*s = 0.\nAnswer: -16, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2596516340 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.803695l to millilitres.\nAnswer: 5803.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b59 (base 12) in base 16?\nAnswer: d35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214286 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/36*10602\/(-9424).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 290 = 3*a - 5*h, 5*a = -4*h - 317. Let q = 116 + a. Let p(z) = -55 + q + z. Let y(d) = -d**2. What is y(p(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 4*a + 4. Let n be y(-4). Let z = -297 + 302. Sort z, n, -4.\nAnswer: -4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4716 - -2.6648. Let t = 350 + -346.9. Let i = t - u. Round i to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95600 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3571317, -3571361, -3571401, -3571437, -3571469?\n\"Answer: 2*b**2 - 50*b - 3571269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -509*l**2 + 509*l**2 + 19*l**4 - 14 wrt l?\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22142 is divided by 57?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 991*n - 1004*n. Which is smaller: n or 144?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5662364 to four dps.\nAnswer: 0.5662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1012?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20441 + -11?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23002 and 434.\nAnswer: 23002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*r**3*w**2 + 2*r**3*w + 15*r**3 - 5*r**2*w**2 + 5453*r*w**2 wrt r?\nAnswer: -270*w**2 + 12*w + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(126)\/sqrt(2) + sqrt(49)\/(sqrt(7)*-2).\nAnswer: -2 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 75600 = -47*g + 12*g. Calculate the highest common divisor of 490 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvrrvvfvirpvup. Give prob of sequence fiu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 3.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/(s**1\/s))\/((s\/s**4)\/s**(3\/10)))\/(((s*s\/(s*s*s\/s**(2\/9))*s)\/s*s*s**(-1\/2))\/(s\/s**(1\/9)*s*s**(-4)*s)) assuming s is positive.\nAnswer: s**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(153) - 5*1*sqrt(153)) + (sqrt(153) - (sqrt(153) + sqrt(153)*-1*-5 - sqrt(153))))\/((5*sqrt(189)\/sqrt(7))\/sqrt(3)).\nAnswer: 48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -56. Let o = -0.011 - 17.489. Let y = o + f. What is y rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 555120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**2\/2 - 1855*p. Let c(m) be the third derivative of -m**4\/24 - m**3 - m**2. Determine c(h) + 4*n(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:55 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let o = -0.7 - -0.2. Let d = -177\/4 - -44. What is the nearest to d in 0.3, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.02, -2, 25, 0.1, 0.6, 1\/211?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 669. Let o = 356 - j. Is -4 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 173*f - 20*f**3 + 2 - 173*f + 43*f**3.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0168 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 7. Let z(j) = -255*j**3 + 155*j**2 - 25*j + 7. Let h(d) = 127*d**3 - 77*d**2 + 13*d - 3. Let x(t) = r*z(t) - 15*h(t). What is p in x(p) = 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78) + sqrt(78))*-2)\/(sqrt(6) - sqrt(216)*1).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -843*g + 21014. What is p(25)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 127, -2, 4, 504, 3 in descending order.\nAnswer: 504, 127, 4, 3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 2*u**3 - 2*u**3)*(2 + 0 - 4) + 8*u**4 - 137307 + 10*u**2 + 137307.\nAnswer: 6*u**4 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 188376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.24, 4 in decreasing order.\nAnswer: 4, 0.24, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/7 - (-415)\/175. Suppose 21\/5*r**2 + 0*r - 3\/5*r**3 - 12\/5 + 3\/5*r**5 - f*r**4 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2. Let c be (-3)\/(4 + 15\/(-3)). Let l(s) be the first derivative of 0*s - 1 + 2\/3*s**c + 0*s**2. What is l(k(f))?\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 4*l)*(4*l + 0*l - 5*l + (0 + 0 - 2)*(3*l + l - l)) - 3*l**2 + 3*l**2 + 2*l**2.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34787261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04893 - 0.15107. What is the second smallest value in -1\/4, d, -1\/9, 1, -29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b**2 + 163*b**2 - 2*b**3 + 589 - 101*b**2.\nAnswer: -2*b**3 + 589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178 is divided by 1471?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626314 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/3)*b)\/(b*b**(-5)))**(-4\/7) assuming b is positive.\nAnswer: b**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 + 22*x**2 - 41*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 12*h**2 + 4*h + 8. Let v be f(14). Find the third derivative of v + 59*a**4 - 7904 + 32*a**2 wrt a.\nAnswer: 1416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4\/16)\/((-1)\/(-4)) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1090\/2153?\nAnswer: 1090\/2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434.2 - -434.203661. What is u rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.167 times -0.23314\nAnswer: -0.03893438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4 - 644*n**3\/3 - 319. Factor k(q).\nAnswer: 4*q**2*(q - 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*h - 53*h + 6*h)*(7 + 13 - 4) as x*h + a and give x.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 746562\/24*5*-1*(-12)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from rvke?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1382 - -1382.0699. What is f rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78413 + -32112. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16 = d, 4095*d - 4094*d - 7*u + 20 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z + 227*z + 210*z + 87*z + 285*z as w + b*z and give b.\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s*t**3 + 7*s*t**2 + 15*s*t - 30*s + 687383*t**3 + 2*t**2 + 4*t + 22 wrt t.\nAnswer: -6*s + 4124298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263\/70 + 47\/14. What is the nearest to -0.1 in -0.5, r, 3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279206, -558415, -837624?\nAnswer: -1116833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -582*b + 298*b + 289*b - 137, 5*z + 629 = 21*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -72*j + 3172. Let z be a(44). Solve 19*x - 16 = 22*x + l, 0 = -l - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55915)\/(-35) + (-2)\/16 + (-341)\/(-616). Is 1598 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 240*n - 57621. Give v(240).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00088685 to 5 decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2823*w - 8 + 5 + w**3 - 2779*w in the form f*w + q*w**2 + j*w**3 + g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 241 = -2*x + 259, 20 = 3*x - b for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-18)\/(-15)) + 272\/(-51))*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11252 is divided by 1606?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**2 + 20*w**2 + 8*w**2 + 33*w**2 in the form i*w**2 + y*w + g and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4227*u**2 + 7565*u**2 - 4250*u**2 + 7211 with respect to u.\nAnswer: -1824*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t**2 + 3*t - 2. Let m be f(8). Let j = m + -7. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -328\/5 < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-17)*(14 + (-2328)\/156)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0 - 1\/3*m**4 + 0*m + 1\/60*m**5 - 2*m**2 + 1\/2*m**3. What is the tens digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let s = m + 17. Let k be (-36)\/(-10) + 4\/10. Solve a - k*a + s = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 + 2*s**2 - 4*s + 39. Let w(l) = 5*l**3 - l**2 + 5*l - 34. Let i(n) = -6*a(n) - 7*w(n). Calculate i(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*t**3 + 4*t - 4*t**4 - 52*t**3 wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 70*l + 12255 = 0. Calculate l.\nAnswer: -43, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-1)\/(-6))*7\/(-14). Sort -5, -8, 4, x in increasing order.\nAnswer: -8, -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*7 - (9 - 11). List the prime factors of (-31)\/f*(0 - -5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(((-4416)\/60)\/16).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j + 3*r + 57, -42 = 4*j - 2*r. Let w = j + 22. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1722 and -23\/47601246.\nAnswer: 47601246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61\/6 - 28\/3. Are 2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593 + 91070*c - 1171 + 578.\nAnswer: 91070*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 4 - (7 - -6)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -442?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 66 = 9*q. Let r be 2\/(-3)*(q\/(-36) - 0). Is r at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-20)\/(-27)))\/(70\/(-20160)*-72)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171698439?\nAnswer: 17, 127746967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 2. Let y(p) = 6*p + 9. Let h(n) = 11*b(n) + 2*y(n). Let x = -18 + 25. Suppose -5 = -5*s, -2*i + x = -s + 4*s. Determine h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -38, 2, -27, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -16. Let l(k) = -k**3 - 6*k**2 - 5*k + 5. Let w be ((-2)\/4*-10)\/(-1). Let t be l(w). Which is the closest to -1? (a) -3\/5 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*m**3 - 310*m**3 + 156*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 1:08 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32067645 to the nearest integer?\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (-27 - -15 - 10) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-2)\/6 + (-99008)\/(-204). Let n = -239 + c. Let b = 12 + 37. Calculate the greatest common factor of b and n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43222044 + -4?\nAnswer: -43222103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -20. Suppose j = 2*w - 0*g - 3*g + 10, 3*w = -4*g + 19. Which is greater: 3\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 10:43 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -849 + 1015. What is the highest common divisor of 1411 and d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s + 222 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 - 145. Is y smaller than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppyrppaybpa. Give prob of sequence ayb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:03 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = u - 5, -9 = 3*u - 4*u + j. Solve u*z = 3*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -9) + -1 + -6. Let o be -3 - (0\/(-1))\/d. Let s(j) = 6*j + 3. What is s(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 82422, 329707, 741848, 1318845, 2060698, 2967407?\n\"Answer: 82428*a**2 + a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25307, 25054, 24595, 23900, 22939, 21682?\n\"Answer: -5*c**3 - 73*c**2 + c + 25384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -35\/4 (c) 2\/5 (d) -4 (e) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 18. Find the third derivative of 8*n**t - 3*n**6 + 12*n**2 + 9*n**6 - 8*n**4 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x - 115*x + 88*x - 7335 = 0 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4248541747 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/((-4165)\/(-294)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101337851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -200210?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -0*o + 2*o + 5*y, o + 3*y - 37 = 0. What is the remainder when 172 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0 + 0*c**2 - 1\/6*c**3 - 39*c. Let l(j) = -3*j - 6. Let a(o) = -1. Let n(b) = -6*a(b) + l(b). What is t(n(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 411740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 1. Let j = t + 0. Which is the second smallest value? (a) 1\/2 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 - 6*y**3 - 6*y**2 - 4 + 7*y**2 to the form k + o*y**2 + p*y + f*y**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895*v = -926*v + 5766. Calculate the remainder when v is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 18. Let i(c) = 6*c + 2 + 2 - 7*c + 8. Let a be i(b). Solve a*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 770, -1\/18, -4, -148 in increasing order.\nAnswer: -148, -4, -2, -1\/18, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -9 - (-11 + 2) - (-3 + -2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 9*c + c + (-c + 6*c - 3*c)*(0 - 6 + 4) - 1 - 2*c + 1 - c + 2 - 2 - 3*c - c + 0*c)*(c - 6*c + 3*c) as j + v*c**2 + d*c and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9602791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*x - 184120020 = 0, 0 = 2*m + 2*m + x - 184119996. Round m to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.1. Let k(g) = -g + 8. Let t be k(8). Suppose t*n = 3*n - 9, -n = 5*d + 2. Which is the biggest value? (a) p (b) 2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90 + 8*q**3 - 184 + 88 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -30\/7, -0.2, -0.16, -8?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 160*n**2 + 2743*n - 44562. Give l(143).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1001110011101101011100001000?\nAnswer: 1001110011101101011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 21*t**3 - 4*t**2 + 17*t - 13. Calculate c(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 177*f**2 + 180*f.\nAnswer: -3*f*(f - 1)*(f + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 473892 and 78982.\nAnswer: 473892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*r**3 + 2*c*r**2 + 2110*c - 3*r**6 + 766*r**4 + 30*r**2 wrt r.\nAnswer: 18*c - 360*r**3 + 18384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -209 in 4, 5, -101199?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2550)\/(-40) - (-1)\/4. Let o = -38 + j. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22\/9 - 25\/9. Let w = -8.3 - -7.3. Which is the smallest value? (a) w (b) -0.4 (c) q (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -91, 414\/13, -3\/5, 23?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3067*q**2*v**3 + q**2*v**2 + 2*q**2*v + 2*q**2 + 175*v**3 + 62062*v wrt v.\nAnswer: -18402*q**2 + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54307196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o - 169 = 160*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -10*b**3 - 5*b**2\/2 + 2*b + 1. What is the second derivative of f(l) wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 10. Let a(n) = -n - 10. Calculate 3*a(b) + 4*l(b).\nAnswer: b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4548679, -4548712, -4548745, -4548778, -4548811?\n\"Answer: -33*b - 4548646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 990, 2012, 3036, 4062, 5090, 6120?\nAnswer: 7152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-16))\/9*-4. Let l be 24\/(d - 0)*-2. Suppose -318 = -5*v - l. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n, 7*n + 65 = 3*d + 3*n. Calculate the remainder when 346\/5 - 3\/d is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5455 divided by 6.\nAnswer: 5455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpuuunnwup. What is prob of sequence npp?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 605404.8mm in kilometers?\nAnswer: 0.6054048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108812 and 1142526?\nAnswer: 2285052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -1101212001?\nAnswer: 1101211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13a7 (base 11) to base 3\nAnswer: 2111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2391838065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360 + -357. Which is the closest to -1.2? (a) 0.3 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 4*z. Let y be ((-6)\/(-10))\/((-3)\/(-15)). Solve -3*k + 7 = y*b - 2, 4*b = z*k - 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(363) - (sqrt(363) + (sqrt(363) - (-1 + sqrt(363))))) - (3 + (sqrt(363) + 0 - sqrt(363))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 65*c**2 - 187*c - 1112. Calculate h(68).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15955, -15948, -15935, -15916?\nAnswer: -15891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - 1 - (908 - 934)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 - 6.799959. Round f to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.6 - 64. What is the fourth biggest value in 1\/2, -4\/9, z, -0.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:09 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/12 + 5*h**2. Let u(d) be the second derivative of -2*d**3 + d**3 - 6*d + d - d**3. Give n(u(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -1152896?\nAnswer: -1152895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49544419\/485 - 102153. Let h = 4\/97 - a. Let k = 32 + -33. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56\/39 - -10\/13. Which is greater: p or -62?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 0, 65*r - 68*r = s + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3)*n)\/n)**(-7)*n**0\/(n\/(n\/n**4))*(((n**(1\/4)\/n)\/n)**(-7\/5))**(-1\/4) assuming n is positive.\nAnswer: n**(-1667\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13783, 27545, 41307, 55069, 68831, 82593?\nAnswer: 96355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhxyxiyiyiiihhiyy. What is prob of sequence yx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*k**2 + 39*k**2 + 101*k**2)*(4*k - 3*k - 2*k) to the form b*k**3 + d + t*k**2 + u*k and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) - 1222\/(-234). Suppose -5*z = 3*n - 40, -36 = -t*n - 2*z - 1. Suppose 5*s - 7*s = -5*j + 25, -j = -s - n. Solve -m + s*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (1 + (1 - 20)). Solve -6*m + f = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 5) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 16 = g - 35, 3*j = -3*g - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6160 + -3?\nAnswer: -6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19579*a - 1196 = 19527*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20702.1 + 0.38.\nAnswer: -20701.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 54456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llg when three letters picked without replacement from hllhhghgh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 13*j**8\/28 + 2*j**4 - 12*j. Find the third derivative of x(q) wrt q.\nAnswer: 3120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 183, 145, 109, 75, 43?\n\"Answer: k**2 - 41*k + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 561 (b) 0.3 (c) -5 (d) -1 (e) 253 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3760.52763 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8181352*g**5 - 2*g**3*r + 6*g**2 + 1435612*g*r - 17*g - 3*r wrt g.\nAnswer: -163627040*g**3 - 12*g*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 11. Give y(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3407*p**3 + 4*p - 3*p - 2*p.\nAnswer: -3407*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(i**5 - 4*i**5 - i**5) + 2*i**5 + 0*i**5 - i**5 + (-2*i + 0*i + 4*i)*(2*i**4 + i**4 - 2*i**4) + 10*i**2 - 10*i**2 - 5*i**5.\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*t**3 - 29455*t + 5454949 wrt t.\nAnswer: -171*t**2 - 29455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**2)\/p*p)**10\/((p*p**(-1))\/(p*(p**(-1\/5)*p)\/p)))**(-1\/24) assuming p is positive.\nAnswer: p**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9100 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1, 10, -5, 76 in increasing order.\nAnswer: -5, -4, 1, 2, 10, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754 - 13322 = 782*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 - 72*z + 160 = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3221*k - 63. List the prime factors of c(-1).\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 30*y - 30. Calculate m(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -849*l + 33019. Determine q(39).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*l + 146268 = -1221*l + 122*l - 1470*l for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19516349 to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 14*j + 9. Let k be f(6). Put -7, -1, k in descending order.\nAnswer: -1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 704*m + 705.\nAnswer: -(m - 705)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 226753005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -2\/3, 0.1, -2\/13, -196, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = -g, -4*k - 33 + 37 = 4*g. Sort 86, k, 5 in increasing order.\nAnswer: k, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844528002.\nAnswer: 2, 3, 140754667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*d + 2*c - 10 = 0, 14 = -4*d + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/3 - 20*m**2\/3 + 19*m\/3 = 0?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 1001100100011000?\nAnswer: -1001100100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 2. Let t be i(0). Let f(m) = -40*m**2 - 40*m - 6. Let r(z) = -z + 2. Let n(w) = t*f(w) + 6*r(w). Find the second derivative of n(v) wrt v.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 1. Let f(j) = 122*j**2 - 12*j + 102. Let g(u) = f(u) + 6*i(u). Find the first derivative of g(z) wrt z.\nAnswer: 244*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 1076\nAnswer: 34432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-620)\/(-30))\/((-10)\/2) - 45\/75\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**2*t**2 + 28417*r**2 - 53369*r*t - t**2 - 3*t - 102 with respect to t.\nAnswer: 20*r**2*t - 53369*r - 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-5) - (6270\/(-95))\/(-66). Factor u*j**4 + 4\/5*j**3 - 8\/5 - 4*j - 12\/5*j**2.\nAnswer: 4*(j - 2)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r*r**10)\/(r**(-10)*r**(-6\/7)) assuming r is positive.\nAnswer: r**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22\/29 + 300\/319. Let a = -1.9 + -0.1. Let m = a + 6. Sort 1\/6, m, n in descending order.\nAnswer: m, n, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9380603 and 24641584?\nAnswer: 1650986128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 7, 2, 0.6, 1\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from {c: 2, m: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x**3 - 74*x**3 + 177*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**4\/4 + 2*b**3 - 7*b**2\/2 + 5*b + 1. Suppose 11*v - 159 + 115 = 0. What is n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 170, 187, 204, 221, 238?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = -50. What are the prime factors of t - 4 - (-2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:38 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1\/25) + 0. Let p = -46 + 96. What is the highest common divisor of p and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -81421885?\nAnswer: -81421885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5034, 5245, 5456, 5667?\n\"Answer: 211*s + 4823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 3*o + 69. What is the units digit of j(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1183603?\nAnswer: -118360.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 + (15 - 11 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.5354 meters to nanometers.\nAnswer: 663535400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = 39. Let c = a + -15. Suppose 3*f - y - 1 = y, -f - y + c = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 divided by -26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1754, 16, -4, 13 in ascending order.\nAnswer: -4, 4, 13, 16, 1754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*z**5 + 9316*z**2 - 10137*z - 11 wrt z.\nAnswer: -600*z**3 + 18632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*((-101)\/3 - -2)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 5 + -16 + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10858 by -89.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107\/7*k + 122\/7*k**2 - 1\/7*k**5 + 5\/7*k**4 + 54\/7*k**3 + 33\/7 = 0. What is k?\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37467 + 1311312\/35. Calculate the common denominator of u and -1*62\/(-70) + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 3117502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -33. Let q = 35 + h. Let o(m) = 3*m**2 - 7*m + 2. Calculate the remainder when o(q) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 2*u**2 + 2*u - 3. Let b(z) = z**3 - 5*z**2 - 3*z + 5. Let i = -138 - -137. Let n be i*(-25)\/(-15)*3. Determine n*q(p) - 3*b(p).\nAnswer: 2*p**3 + 5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 388 and 2266211?\nAnswer: 9064844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + (-15 - -28)\/(3 + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*h**3 + 1\/6*h**5 + 0*h + 0*h**2 + 0 - 1\/3*h**4.\nAnswer: h**3*(h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.67 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4964 and 688755.\nAnswer: 2755020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-128)\/(-4) + (-6)\/2. Let g = f - 26. Factor -26*k**3 + 6*k**2 - 9*k**4 + 16*k - 3*k**5 - 7*k + 20*k**3 + g.\nAnswer: -3*(k - 1)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose -q = -5*s + 19, 5*s = -2*q - 2*q - 1. Factor -n**b - 3*n**3 + 2*n**s + 2*n + 0*n**2.\nAnswer: -n*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -213\/7 = -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50184, -50178, -50172, -50166, -50160, -50154?\nAnswer: -50148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45573 and 307963?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*a - 6651260, 9*a + 377*g - 14965319 = 382*g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2cb - 300d?\nAnswer: -32da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434030227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -47, -3, -8, 0, 15, -5 in ascending order.\nAnswer: -47, -8, -5, -3, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.9 (c) 39 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39965.15331 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - 2*r**4 - 2*r**4)*(1 - 5 + 2) - 7*r**4 + 10*r**4 - 15*r**4.\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 y when four letters picked without replacement from {t: 1, f: 1, r: 9, m: 4, y: 4}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 39. What is the smallest common multiple of q and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413202 (base 7) to base 6.\nAnswer: 1303330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6238, 6264, 6276, 6268, 6234, 6168, 6064, 5916?\nAnswer: 5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5640 and 8360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:57 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + f**4)*(-298*f + 280*f - 1282*f).\nAnswer: -1300*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from yyyyyyzy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 + 1 = 0. Let p(z) = z**3 + 6*z**2 - 10*z - 6. Let g be p(-7). Suppose r*b - 45 = x, -2*x - 3*x - g = b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 180 = -2*j. Let z be (-7)\/((-147)\/j)*-28. Let u = -24 - z. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 = 6. Let r be (8\/3)\/(t\/9). Let x(f) = -2*f**2 - 2*f + 5. What is x(r)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2 - 2*m - 10. Let l be z(-8). Suppose q + 5*p + 10 = -6, 3*p + 24 = q. Let b be (l\/(-4))\/(q\/(-24)). Is b <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*p - 8, 3*p + v = 2*p + 2. Let s be (-134)\/(-4) + (-1)\/p. Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -1\/15*z**5 - 7*z**2 + 0 + 1\/3*z**3 + 0*z + 1\/60*z**6 + 1\/24*z**4. What is the smallest common multiple of u(2) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-57)\/(-9))\/(7\/21). Let z = -1 + 3. Let j be 76\/(-2)*(-1)\/z. Calculate the highest common divisor of j and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -4\/3, 1.73, -1272 in decreasing order.\nAnswer: 1.73, -1, -4\/3, -4, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2157213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -283.7371?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/104 and 77\/224744?\nAnswer: 224744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110101 (base 2) in base 8?\nAnswer: -2165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 6*t - 2. Is t*((-66)\/(-4) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.40585 to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*p - 4*c, -20 = -4*p + c - 2. Suppose 3*i - 35 = -2*f, -3*f - p*i + 55 = -0*i. What is the lowest common multiple of 7 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 4*b - b + (-3*b + b + 3*b)*(1 + 1 - 1) + 2 - 2 - 3*b)*(-31 + 17 - 23)*(2*b**2 - 3*b + 3*b).\nAnswer: 74*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 - 9. Let a(m) = -15 - 10*m - 8 + 31 - 8. Calculate a(c(q)).\nAnswer: -60*q**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Let p be u(7). Let x(l) = l + 11. Let f be x(p). Suppose -4*j + 48 = -2*j - f*i, 0 = 2*i. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(1\/3)\/a)\/a*a*a*a**(-2\/11)*a)**(-16) assuming a is positive.\nAnswer: a**(-2192\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 0*f**2 + 0*f**2 + f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -24*c + 266 + 341 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9.08. Let o = g + -6.08. What is the nearest to -1\/2 in 3, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122682*s**4 + 2*s**3 - 326718*s wrt s?\nAnswer: -1472184*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 + 6 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*q**2 + 66*q**2 + 140*q**2 - 26*q**2 to p*q + i*q**2 + v and give i.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -84. Let q be s\/36 + 7\/((-21)\/(-2)). What is the closest to q in -2\/9, -6\/5, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41231151 (base 6) to base 4\nAnswer: -10201211023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + 4 + -4*sqrt(891)).\nAnswer: -24 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 25*y**2 + y - 59. Let j(g) = -7*g**3 + 50*g**2 - g + 117. Let t(o) = 2*j(o) + 5*p(o). Is t(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 35*v + 87. Calculate m(-6).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9974579 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 + 10*w - 14. Let f be g(8). Suppose f*k + 3*j - 142 = 26, 2*k = 5*j + 168. Calculate the least common multiple of k and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 791*y - 8953. Give l(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 32*x**2 + 59*x - 54. What is m(30)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -469, -1221, -2311, -3739?\n\"Answer: -169*b**2 + 93*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440507?\nAnswer: 23, 106109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 times -5484?\nAnswer: 740340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*l**2*z**3 - l**2 - 1242*z**3 + 2*z**2 - 2*z wrt l?\nAnswer: -178*l*z**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 1, -3, -4, 49.\nAnswer: -4, -3, 1, 5, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 9 + 6\/(-3). Suppose -4*z = 3*v - 2 - o, 6 = -2*v. Sort 10, -1, z.\nAnswer: -1, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 5*a, -a + 38 = -0*t + 4*t. Calculate the least common multiple of t and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 47, 203?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56414503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:21 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((-3*3*3*(sqrt(720) + 4) + -1)*-1)**2.\nAnswer: 70632*sqrt(5) + 536760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 - -4 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 9*b**5\/4 + 89*b**4\/6 - 119*b. What is the third derivative of l(s) wrt s?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28871, -28893, -28941, -29027, -29163, -29361, -29633, -29991?\n\"Answer: -2*v**3 - v**2 - 5*v - 28863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/318 and -39\/1802.\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 226134 = -1496. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 253 + 131 + 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121013 (base 5) in base 12?\nAnswer: 2589b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1 (b) 0.1 (c) -190\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z - z)*(-6*z + z + 4*z + (-3*z + 0 + 0)*(1 + 3 - 2)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2329*n - 2847. What are the prime factors of d(-16)?\nAnswer: 127, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137354573 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 15. Suppose b + 4*b - d - 20 = 0, f = 3*b - d - 12. What is the second derivative of -5*u**4 - 6*u**b + 44*u - 6*u**5 - 7*u**5 + 14*u**5 wrt u?\nAnswer: 20*u**3 - 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*m + 525*m - 10*m + 381*m - 5467 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 47*y**2 + 97*y - 390. Give o(45).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110215\/78 - -1413. Let y = -3523 + 31673\/9. Calculate the common denominator of y and b.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*x - 9. Let m(f) be the first derivative of -7*f**3\/3 - 2*f**2 + 3*f + 1. Let k(j) = -j**2 - j. Let d(y) = x*k(y) + m(y). Determine d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*k + 11, 88*k - 89*k - z + 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63774170 divided by -2\nAnswer: -31887085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -413, -429, -445, -461?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1 - -1)*5. Let x be 3916\/(-2) - 10\/s. Let t = x + -17040. What is t rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197325987?\nAnswer: 3, 17, 1423, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003384353023 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -984*s + 992*s. Let z(p) be the first derivative of -7\/3*p**3 + 2*p**s - 8 + 0*p + 0*p**2 + 0*p**4. Find the third derivative of z(c) wrt c.\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-6))\/(1\/3). Let z(w) = w**3 - 31*w**2 - 31*w + 8. Let b be z(32). What is the highest common divisor of i and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -15. Let w = 3 - n. Let a be ((-5)\/(-4))\/(3\/(-12)). What is the biggest value in w, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 1333, 2284, 3109, 3766, 4213, 4408, 4309?\nAnswer: 3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 5, z: 1, p: 1, n: 1}. Give prob of picking 1 n, 1 a, and 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3263.999997999 - -3264. What is a rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71186941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 50*p + 48*p = 15, 3*v + 16*p = -131. Let w = -3 + 3.1. Let k = 67 - 199\/3. Sort w, -4\/3, v, k.\nAnswer: -4\/3, v, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 149 - 259. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16962*m**2*v**2 + 359*m**2*v + m**2 - 596*m*v**2 + 2*m*v - 3*m + 10*v**2 - 57*v - 2 wrt m.\nAnswer: 33924*v**2 + 718*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(156) - sqrt(156) - sqrt(156)))\/sqrt(12) + 2*(sqrt(117)*6)**2 - (1 + sqrt(325) + -1 + (-3 + sqrt(325))*3)**2.\nAnswer: 354*sqrt(13) + 3143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/30 - g**5\/5 + g**4\/2 - 2*g**3\/3 + 18*g**2. Find q such that j(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c65 (base 15) to base 16\nAnswer: -3278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5*u**4\/12 + 7*u**3\/6 + 5*u. Find the second derivative of o(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from klrpp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4228.3878 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-24) + (-35)\/(-6) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/7286122 and 65\/106.\nAnswer: 7286122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.50098 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45803.22mg?\nAnswer: 45803220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.005 - 20.005. Let v = 20 + k. Which is the third smallest value? (a) v (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 112, 5.\nAnswer: 5, 13, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3*190\/30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12686 + -152335\/12. Find the common denominator of -117\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49217899498397 plus -4?\nAnswer: -49217899498401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) - -1*sqrt(3240))\/(sqrt(10) + -2*sqrt(1000)))\/((sqrt(1296)*-1)\/(2*sqrt(8)*2)).\nAnswer: 8*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225285 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -57*r**2 + r - 1. Let q(b) = -343*b**2 + 6*b - 6. Let z(i) = q(i) - 6*w(i). Let h(d) = 80*d**2. Calculate h(z(u)).\nAnswer: 80*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -78*v**2. Let n(u) = -11*u**2. Calculate n(g(o)).\nAnswer: -66924*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 271115155639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, 132, 10 in decreasing order.\nAnswer: 132, 10, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2902\/11 - 264. Put p, -0.4, -5 in descending order.\nAnswer: p, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**3 - 1431*m**2 + 33*m**3 + 1431*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 117. Let g(t) = -t + 29. Let u(j) = 9*g(j) + 2*x(j). Let y = -2708 - -2727. Let c be u(y). Solve -c - 2 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2260 - -250870\/111. Find the common denominator of o and -10\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 37 = -33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-10*7*(-32)\/80?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-28))\/a*a*a)**(-48) assuming a is positive.\nAnswer: a**1152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5089422 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 3)*(1 - 2*d - 1)*(32 - 80 - 86 - 29)*(3 + 1 - 2).\nAnswer: 7172*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37789*k**3 - 37998*k**3 + 75769*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 46*f**3 + 9*f + 6. Let y(b) = 47*b**3 - b**2 + 8*b + 5. Let c(o) = -3*t(o) + 4*y(o). Does 40 divide c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 444*n**2 - 893*n**2 - 1 + 4*n + 465*n**2 - 12*n as y + s*n + a*n**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 3. Let u(h) = -2*h**2 + 4*h - 1. Let q be u(3). What are the prime factors of s(q)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13099958?\nAnswer: 2, 6549979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + -6.6. Let r = -5 - z. Let y = -192 + 1730\/9. Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-8) + 2)*-18. Let l(t) = 2*t. Let b(w) = w**2 - 8*w + 1. Give v*l(j) + 2*b(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(85)\/sqrt(5).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 53*k**2 + 58*k - 345. What is r(5)?\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506*m**2 - 1143*m**2 - 1439*m**2.\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-88)\/(-14) + 26\/(-91). Let u(r) = 66*r**2 - 35 + 4 + 98*r**2 - 16*r**2. Is u(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -202.7 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 20*d - 49. List the prime factors of y(75).\nAnswer: 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145113463 to the nearest integer?\nAnswer: 12046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, 2\/35, -36 in descending order.\nAnswer: 282, 2\/35, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2796.058 tonnes?\nAnswer: 2796058000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016470877 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(5 - 174\/36). Let -1\/3 + 0*u + 2\/3*u**2 - 1\/3*u**4 + 0*u**w = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/5, 194, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10206 and 14742.\nAnswer: 132678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w - 6. Determine m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*c*k**3 - 168*b*c - 2*b*k**4 - 2*c*k**2 wrt k.\nAnswer: -3*b*c*k**2 - 8*b*k**3 - 4*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109104 = -10*t + 11*t. Is ((-3)\/6)\/(12\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + s**2 + 0*s + (-251 + 0*s - s + 291)*(2*s + 2*s - 2*s) as h*s + n*s**2 + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76498 - 76481. Suppose -3*p + p + 22 = 0. Solve -h = -7*u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmnnn. Give prob of sequence mnnf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r - 3. Let x be y(0). Let b(u) = -u**3 + 6*u**2 - 4*u + 1. Let a be b(5). Let q = x + a. Solve -3*o = q*l - 6, -4*o - 8 = o - 4*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10) - 2\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 1, f: 3}. Give prob of picking 1 i and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, 2\/5, 52?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*r = 22, 5*v + 2*r = 18 + 23. Suppose -v*t = -2*t. Suppose y + t*y - 110 = 0. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/((-1)\/(-2)). Let m = 2 - l. Let z be 8*((-2)\/(-4) - 1). Put m, 5, z in ascending order.\nAnswer: m, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1910*p + 51566. Calculate r(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7146 divided by 1191?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9188 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -g + 21, -2*b - 3*g = -0*g - 39. Suppose -b*j = -23*j - 25. Let n(s) = s**3 - 9*s**2 - 15*s - 4. Calculate the remainder when n(11) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + (1 + 3 - (5 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 0.6. Let o = q + 0.65000039. Round o to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 47 + 3*r**2 - r + 2*r**3 + 25 as x + j*r**3 + z*r**2 + i*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -57. What is the common denominator of ((-8)\/3)\/(l + (-4)\/(-36)) and -37\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38451, -38526, -38651, -38826, -39051?\nAnswer: -39326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/(-10)*1)\/(12260\/(-4904))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 5. Let i be l(-7). Suppose -i*b + 38 + 48 = 0. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/12 - 211*r**2\/4 - 209*r\/2 + 1262\/3 = 0.\nAnswer: -631, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -179, 11, 7, 3 in ascending order.\nAnswer: -179, 0, 3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 5 + 1)*(-6*u**4 - 27488*u**3 - 5*u - 6*u**4 + 27479*u**3).\nAnswer: 156*u**4 + 117*u**3 + 65*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -9, -414?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*v + 50*v + 18*v + 31.\nAnswer: 345*v + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 10*w + 37. Let f be p(-13). Which is the third smallest value? (a) f (b) -9 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + -12 + 45*1. Let m = -43 + q. Suppose -3*j - m*p = 235, 4*j - 4*p + 349 = -j. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119831619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, 0, 2, -5, 6 in increasing order.\nAnswer: -5, -1\/4, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/13))\/(q*q**(-8))*(q*(q*(q**(-6)*q)\/q*q*q)\/q)**(2\/15) assuming q is positive.\nAnswer: q**(499\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 17 - 11)*(-3*s + 2*s + 3*s) + 3*s - 5*s + 0*s)*(-3*s + 2*s**2 + 3*s) to the form y*s**3 + v + f*s**2 + c*s and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2565 by -3.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 44*g + 267. Give j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 209 = 213. Let f(l) = -l**2 - l + 3. Let k be f(-6). Calculate the least common multiple of 2\/9 - 183\/k and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 615\/2 + -319. Suppose 0*i + 3*i - 2*d = 12247, -5*d = -5. Let o = -65285\/16 + i. What is the common denominator of k and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 49 = 142*f + 2641 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -53, -105, -177, -275, -405?\n\"Answer: -w**3 - w**2 - 28*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - c - 57 = 0, 0*c - 27 = v - 4*c. Let y be (-4)\/(-30) - v\/((-1350)\/(-1608)). Solve 3*q + y = -2*u - 2*q, 3*u + 4*q + 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12392 + -5587. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:58 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) + 2*sqrt(114) - sqrt(114)) + -2*sqrt(114)*1)\/(-3*sqrt(864) - (sqrt(6) + (sqrt(96)*3 - sqrt(96)))).\nAnswer: -2*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/4, 11, -0.2, -572?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3400*i + 3395*i = 18, 16 = -3*z - 2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, 1\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 651 or 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-247) + 1\/(-91).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6977, 6979, 6981, 6983?\n\"Answer: 2*c + 6975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 448*m**2 + 1. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 5*k - 5. Let b(y) = -8*y**2 + 6*y - 6. Let x = 14 - 20. Let i(u) = x*v(u) + 5*b(u). Let m(f) = -f + 9154 - 9154. What is m(i(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819 and 828003.\nAnswer: 226044819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -411 - -411. Let p(x) be the third derivative of 0*x**3 - 1\/20*x**5 + s*x + 0*x**4 + 0 - 10*x**2. Let q(j) = -5*j. Calculate q(p(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = -8. Let y(o) = -2*o. Let t(r) = r**2 + r. Determine c*t(b) - y(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 425, -1.\nAnswer: -1, 66, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3033424 years to months.\nAnswer: 3.6401088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(304) - (sqrt(304) + (sqrt(304)*-1)**2)) + sqrt(304) + -4 + sqrt(304)*1 - sqrt(57)\/(sqrt(3) + sqrt(30)\/(2*sqrt(10)) - sqrt(3))*-2.\nAnswer: -313 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389352219.\nAnswer: 3, 31, 137, 30559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/42450 and -44\/997575.\nAnswer: 1995150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -11*h - 165 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, k: 2, g: 4}. Give prob of picking 1 k and 1 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(44)*1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 45*h**5\/2 - 887*h**4\/2 - 51157*h**3\/2 + 483487*h**2\/2 + 73086*h - 11070 = 0.\nAnswer: -30, -2\/5, 1\/9, 9, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -386, -773, -1160, -1547, -1934?\n\"Answer: -387*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o - 40*o - 50*o + 183*o - 44*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 z, and 1 w when four letters picked without replacement from ezddeewzasd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 3*l + 4*l + 18*l - 8*l - 10*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 82*a**2 + 0*a - 83*a**2 - 3 - 6*a - 5. Let f be q(-2). Solve -5*z + f*z = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-10)\/(-75)). Suppose -2*h + 1 + n = 0. Let t = 420 + -418. Solve i = -h*v - 0*v - 8, 0 = -t*i - 2*v - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:31 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*l**2 + 69*l**2 + 66*l**2 in the form i*l + b*l**2 + h and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 11 - 32 = 2*b, 5*v = -b + 12. Let m(i) = -15*i - 105. Let d(c) = -2*c - 13. Let p(w) = v*m(w) - 25*d(w). What is the derivative of p(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -8*b + 19. Suppose i + b + 60 = 0. Let s = -46 - i. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -z - 44728, -z - 4150 = -o + 7029. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.969337 milligrams in micrograms?\nAnswer: 6969.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21 + -39)*33\/12. Let a be w\/(-66) + (-14)\/(-4). Solve -v - a*v - 14 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 100 - (11 + -10)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 - 34\/(-4). Let n(t) = t - 7. Let l be n(w). Sort 1\/2, l, -4 in decreasing order.\nAnswer: l, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/16 and 181\/3960?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954 = -53*a - 1007 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -521 divided by 2\nAnswer: -521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 940814657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:55 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (1*sqrt(405)*-2 + (sqrt(405) + (sqrt(405) - (sqrt(405) + 0 + sqrt(405))) + -4 - sqrt(405)))**2)*3*-2.\nAnswer: -21924 - 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 1045463265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a + 0*a)*(4*a - 4*a - 9*a + (-a + a - 2*a)*(0 - 1 + 2) - 3 - 2*a + 3).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 357, -77, 5 in ascending order.\nAnswer: -77, 0, 2, 5, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 3*r**2 + 0 + 0*r - 1\/6*r**3 + 1\/8*r**4. Let p(v) = -v + 3. Let j be p(4). What is u(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 + 0.22. Let m be (4 + 304\/(-72))*(-1)\/(-1). What is the closest to m in -2, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-28))\/(-6 + 1773\/294). Solve -62 - s = 15*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 + o**2\/2 + 9*o. Calculate the remainder when 48 is divided by r(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116724, 116541, 116358?\n\"Answer: -183*t + 116907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 + 81074*m**4 - 81010*m**3 - 2513354*m**2 + 4945452*m - 2432160 = 0. What is m?\nAnswer: -6, 1, 5, 40536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/98 and (-456)\/(-1026) - 1336\/1386.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 11. Let a(m) = -1 + 2 - 1 - 1. Let q(j) = -3*a(j) - g(j). Differentiate q(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*g = z + 409, 1970 = 5*z - 5*g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/33 + (-56)\/(-6). Let r = 3 + -4. What is the units digit of -1 + j + -1 + r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 20 + (-111 - -98). Solve x*l + 19 = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2472 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/((sqrt(96)*-2)\/sqrt(8)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5804856 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*f - 3*g = 316*f + 13, -24 = -2*f + 5*g for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (44 + -49) - -47\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 - 7*w - 4. Let r be s(-6). Let j = 11 - 4. Let x = j - r. Put -1, 2, x in ascending order.\nAnswer: -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2683441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 733995617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5422 = 4*t + r + 5464, -3*t - 5*r + 9*r = -244 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/3 + 263119*r**2\/3 + 263126*r\/3 - 526240 = 0 for r.\nAnswer: -3, 2, 263120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*u + 15*u + 7*u + 1462 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444*i + 3*l - 23 = 1448*i, 3*l - 25 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1372)\/8)\/(-7)*2. Is j >= 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*r - 2*r, -2*k = 5*r. Suppose k = -82*c + 87*c - 2365. List the prime factors of c.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139417021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*r + 248 = -11598 + 1856 - 3430 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 3*z**2 - 3*z. Let w(v) = -14*v**3 + 8*v**2 - 8*v. Determine -8*i(g) + 3*w(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 2197*w - w**2 + 2197*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1662 + -636673?\nAnswer: -638445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235334 - 2?\nAnswer: -235340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.257202 + 0.2575. Round h to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1618)\/(-35596))\/(129\/198).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4 - 1545*z**3 + 9306*z**2 - 32*z - 49632 = 0.\nAnswer: -1551, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 5262*f - 15798. Determine i(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let w(l) = -4*l. Let p(t) = 3*h(t) - 2*w(t). Let d(g) = -13940*g + 24*g**2 + 13940*g. What is d(p(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 1\/10, 4758 in decreasing order.\nAnswer: 4758, 1\/10, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -12*u - 17 - 5*u**3 + 4*u**3 + 12*u. Let t(f) = -4*f + 4*f + 8*f. Give m(t(q)).\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365 and 11?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 205051*i - 615162.\nAnswer: (i - 3)*(i + 205054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 15*d**2 - 12*d - 32. Give h(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 - 3*u + 7. Let j be l(6). Let z(x) = 2*x + 24. Let r be z(j). Solve -r*q = -3*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6888*p. Let r(q) = 2*q. Calculate r(y(u)).\nAnswer: -13776*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) 5 (c) 12\/19 (d) -5\/161 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/12 - 7*o**3\/6 - 3*o**2. Let b be r(-5). Solve -b = z + 4*s - 0, 0 = -z + 5*s - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762.841 meters in micrometers?\nAnswer: 2762841000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/11 - 8864*n**2\/11 - 71026*n\/11 - 62160\/11 = 0.\nAnswer: -7, -1, 4440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6859*i + 1947957. What is j(284)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(4 - 2*v**2 - 4 + (-2*v + 0 + 0)*(7*v - 3*v + v) + 6*v**2 - 2*v**2 - 3*v**2).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323337 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 5*x**2 - 4*x**2)*(-4*x - x + 4*x - 2).\nAnswer: 9*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -452\/4599 - -2\/657. Sort -1, q, 0.5.\nAnswer: -1, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpqutth. Give prob of picking 1 h, 1 u, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -12. Suppose 0 = 4*d - 0 - p. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 2*y. Let f = -3.32 + -0.68. Which is the third smallest value? (a) y (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 12*u - 12. List the prime factors of f(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3369499 divided by -3463\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m**3 + 122*m**2 - 81*m + 13. Let i(u) = -u**3 + 2*u**2 + 2*u - 1. Let f(y) = -11*i(y) - k(y). What is the second derivative of f(o) wrt o?\nAnswer: -36*o - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14788416 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8. Let m = -2 + 1. Let d = -14 - -16. What is the closest to -2 in c, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74*(3 - -2) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*x - 8 - 52, 5*x + 7*l - 40 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m + 2. Suppose 5*g + 6 = 6*g. Suppose 0 = 4*w + 5*j - 24, -w + j - 5*j + g = 0. Calculate the remainder when 54 is divided by a(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 457100 and 22?\nAnswer: 5028100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 904, 1356, 1808, 2260?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 51 (b) -3 (c) -7 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51089 + 25222 - 7*c**5 + 25499 + (3*c - 5 + 5)*(0*c**2 + 0*c**2 + c**3)*(c + 0*c - 2*c).\nAnswer: -10*c**5 - 368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 24*m**2. Let x(u) = -20*u**2. Calculate w(x(a)).\nAnswer: 9600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)\/(((j**(-28)*j)\/j)\/j*j)*(j\/((j*j**(-1\/20))\/j))**(2\/9))**(-1\/6) assuming j is positive.\nAnswer: j**(-487\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(15\/(-18)). Let c = -14\/15 - h. Suppose 1 = -21*i + 20*i. What is the nearest to i in -1, c, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5908 + 0.22.\nAnswer: 1.8108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:04 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 3, k: 2, t: 1, g: 4}. What is prob of sequence kbg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350487 + 350495. Let z(c) = -1 + 2*c + c**2 - 3*c + 0*c**2. Let y be z(3). Solve b - w + 29 = -y*i, 2*i - 5*b = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose -3*i - m = 3*y + 4, 22 = y - 5*i. What is the greatest common factor of y and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 897\/(-27) - 16\/(-72). Find the common denominator of 1 + 3\/8*-3 and (p\/2 + 0)\/(68\/(-102)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 93*i. Let q(h) = -3*h**2. Determine y(q(f)).\nAnswer: -279*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030835 is divided by 126927.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 25*s = -29*s - 33, 0*f + 49 + 5 = 4*f - 11*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v = 85*v + 1080 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 13. Let y be l(-5). Which is the closest to -1? (a) y (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-1 + -4 - sqrt(52)\/sqrt(4)*3.\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -1.5485.\nAnswer: 0.4515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 19*a**2 + 14*a + 13. Let t be g(19). Let m = t + -187. Suppose 3*j + 5*p = 6*j + 46, -4*j - m = p. Which is bigger: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 54288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1178 and 2611468?\nAnswer: 1538154652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 17. Suppose -z = 4*n + 5*l + 3, 5*n - l - 4 = 0. List the prime factors of -3 + n - 0 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507818 <= -507796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15178.2066us in days?\nAnswer: 0.0000001756736875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - -7732?\nAnswer: 7766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ffkfqflkvfvlvqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3 - 28 + 8 - 90 + 0*h**2 + 5*h + 4*h**2. What is the remainder when s(8) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0027, -2\/11, -0.3, -9, -4\/3 in increasing order.\nAnswer: -9, -4\/3, -0.3, -2\/11, 0.0027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -1533.\nAnswer: -1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35 and 337.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 1148150 = 1148165 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -578713 (base 10) to base 7\nAnswer: -4630132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1065757*u**2 - 896438*u wrt u.\nAnswer: -2131514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55310 + -3?\nAnswer: -55313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23530286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilometer in meters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230250.\nAnswer: 2, 5, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 divided by 6?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -5, 28, 85, 172, 295, 460?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*v**2 + 6 - 15 to n*v**2 + f*v + l and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*s + 74*s - 192*s - 1 + 1 + 60*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25306704 divided by 36783.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -48*w - 52. Give u(9).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 12*p = -8*p - 90543700. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 - -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5618496 and 15.\nAnswer: 28092480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4731, 4960, 5173, 5364, 5527?\nAnswer: 5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*w + 22491 = -17107, 3*w = n - 7917. Suppose 0 = 42*b - 50*b + n. Suppose -306 = 19*u - b. Calculate the smallest common multiple of 9 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + 19 + -122 - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 887, 2257, 3617, 4961, 6283, 7577, 8837, 10057?\n\"Answer: -a**3 + a**2 + 1374*a - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 318.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 284*p + 212. What is h(-56)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-126) - 12\/27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 16*c - 7. Let i be h(13). Let z be (6\/(-8))\/((-8)\/i). Suppose 9*s**3 + 2*s - z*s**2 + 4 - 7*s**3 + 8*s**3 - 13*s**2 = 0. Calculate s.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(117)*2 + -3).\nAnswer: -30*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -231*c**3 - 1. Let r be s(1). What is r rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210020 - -1?\nAnswer: 210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8913402 millennia to decades.\nAnswer: 89.13402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4207 + 307. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c1 - -3?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221\/4 - 55. Suppose -o*a + 0 - a**3 + 5\/4*a**2 = 0. What is a?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5265 and 2025?\nAnswer: 26325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263 (base 7) in base 9?\nAnswer: -1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11700 (base 8) in base 5?\nAnswer: -130211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2090366?\nAnswer: 2, 1045183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279782523*i**3 - 847622812*i**2 wrt i.\nAnswer: -1678695138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*k - 5 + 15, -q = -k - 2. Let v(j) = -4*j + 9. Let t be v(-7). Let h = -33 + t. Solve k*n = h*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 69064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + l - 193612 = 98384, x - 5*l = -58380. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329 divided by -5336?\nAnswer: -1329\/5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9*i + 12. Suppose 0 = 3*a + i*r - 33, 25 = 4*a - 3*r + 2. Suppose 4 = 3*l - a. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*j - 0*o + 65 - 58, 0 = -10*o - 40 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/509132 and -119\/6.\nAnswer: 1527396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-492)\/(-44) + 4\/(-22). Suppose o - b = -4*j + 10, 24 = 4*j + 4*o. Calculate the remainder when 15\/2 - (-2)\/4 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let y(m) = 9*m. Let a(w) = -3*w + 4*w + 0 + 0. Let f(x) = 33*a(x) - 4*y(x). Calculate s(f(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 31, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 14 (b) 4 (c) 2\/9 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163427.3 hours in minutes?\nAnswer: 9805638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**3 - 9*h - 2 - 8*h**3 - 5*h**2 + 2*h**2 + 15. Let m be c(5). Calculate the greatest common divisor of m and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = 2*r + r, 3*r = 5*y - 16. Suppose 4*b - y*b - 40 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/42)\/((-22)\/33)*(-14448)\/(-23392).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281061 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 596 - 596 + 19*q - 3*q**2 as m + w*q**2 + v*q and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4988495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -74*n + 5. Let j(h) = 1110*h - 74. Let t(g) = -5*j(g) - 74*v(g). Let a(o) = 3*o**2. Give a(t(b)).\nAnswer: 16428*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 39 - -15 - (-3 - -8 - 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22797 - 9640. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g**2 + g. Let a(o) = o**3 + o + 1. Let h(s) = -a(s) + l(s). Determine h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 4\/(-46) - 1289*(-4)\/46?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 2726834 + 1363393 + 1363488.\nAnswer: -2*c + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**4 + 1181184*q**2 + q + 44973126 with respect to q.\nAnswer: 12*q**3 + 2362368*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40553 is divided by 20273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3)\/o)**(-1\/35)*((o\/(o**(-2)*o))\/o)**(1\/30) assuming o is positive.\nAnswer: o**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 0*t - 3 + 0*t. Let i be y(6). Suppose -i*u = -8 - 10. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594 - 354. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32509386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001341384102 rounded to 7 dps?\nAnswer: 0.0001341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 + -465. Let d = p - -215. Suppose 0 = -2*r + 3*q + 10, -3*q = 4*r + 4 + 12. Which is the closest to r? (a) 3\/4 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8771289, 8771290, 8771291?\nAnswer: 8771292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 54825*s - 603234. What is d(-11)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481780*h + 1148 = 481944*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 694843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 356*h**3 - h**2 + 603*h + 602. Determine z(-1).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105294034 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25330?\nAnswer: 2, 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**4*y**3 - 14*h**3*y**3 - 2865*h**3 - 11774*h**2*y**2 - 2*h**2 + 22*h*y**3 - 3*h*y wrt h.\nAnswer: -336*h*y**3 - 84*y**3 - 17190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 216*u**2 + 5*u. Let d(g) = -11*g. Calculate j(d(m)).\nAnswer: 26136*m**2 - 55*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*u + 74 = 0, -5*u + 227 - 319 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2 - 3799) + 0)*23. Let w = -597096 - -384673. Let s = q - w. What is s rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*s + 57 + 13, 0 = -l + 4*s - 23. Let i be l\/44 + 37\/4. Which is the nearest to -1\/2? (a) 0.5 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.6. Which is the third biggest value? (a) 3 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 287668*o**3 - 287430*o**3 + o.\nAnswer: 238*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 4*q**2 + 3*q. Let l(r) = 3*r**3 + r**2. Let t be l(-1). Let x be h(t). Let u = x + -11. Calculate the remainder when 19 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + o - 351 - 302 + 662. Let f(q) = -q**2 + q + 1. Let l be f(3). What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*s**26 assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and 114\/(-209) + 1054\/440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 - p + 11. Let i be r(0). Let o(q) = i*q + q - 2*q. Let b(d) = 75*d + 37*d - 110*d. Determine o(b(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 20*q - 45. Let h be w(-17). Let n = 3 - 5. Sort 2, h, n.\nAnswer: n, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1664*g - 1 - 10 + 1664*g + 36*g**2 + 362*g**3 + g**4 wrt g?\nAnswer: 24*g + 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 2*b**3 + 2*b**4 - 2*b**2 + 60 + b**2 - 7*b**3 in the form r + h*b**2 + f*b**3 + a*b + l*b**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((24\/(-25920)*25)\/(4\/16)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 4*o = -47, -5*g + 5*o = -20. Let y = g - 0. Let r(s) = y + 4*s**3 + 3 - 3 - 3*s**3. Determine r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/790 or 1?\nAnswer: -1\/790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:42 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/(-504))\/((-2)\/(-12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6*3\/24)\/(3 - 1). What is the second smallest value in -2\/13, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*q + 52034*q**2 - 242*q + 17562*q**2.\nAnswer: 69596*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 22*k + 7. Let h be y(-6). Let a = -142.9 - -142.6. Let c = -6 - -4. What is the third biggest value in c, a, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82414546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5685*k + 12196*k - 6512*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*g**3 + 1184*g**2 + 6816*g - 2304.\nAnswer: 2*(g + 12)**2*(25*g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231210, -462395, -693594, -924813, -1156058?\nAnswer: -1387335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 3, g: 5}. Give prob of picking 3 g and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 44\/40)*4. Let s = -147 + 178. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -421 + -92?\nAnswer: -4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1379392 and -73\/1896664.\nAnswer: 15173312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)*w**(1\/3))**38*((w\/w**0)**7)**(-21\/2) assuming w is positive.\nAnswer: w**(-268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -7*w**4\/12 + 53*w. Suppose -j - 5*a = 5, -2*j - 4*a + 4 - 8 = 0. Let k(u) = 10*u + 0 + j - 7*u. Determine k(d(f)).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11000?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.307, 2\/7, 0.4, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 26*r**2 + 42*r + 174. What is p(24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose r + w*j - 13 = -5, 5*j = r. Solve 2 = -c + 2*c + d, 0 = 4*c + r*d - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3099168 and 1584.\nAnswer: 34090848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - k = -5*p + 7*k, -14*p - 4*k = -13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13) + -2)*4)**2.\nAnswer: -128*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:25 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111664401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 608, 1568, 3214, 5888, 9932?\n\"Answer: 57*c**3 + c**2 + 558*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/3 or -3.31066?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + w - 7, -20 = 3*w - 5. Let j be a\/12*0 + 8. Suppose -2*l + 16 = -j. What is the highest common factor of 96 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 + 38*c**3 + 2057*c**2 + c + 69514 wrt c?\nAnswer: 12*c**2 + 228*c + 4114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-60))\/((-2)\/(-5))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*b - 17 = 0, -4*o + 5*b - 4*b - 21 = 0. Let c be (-896)\/20 - (-1)\/o. Let z = 55 + c. Calculate the lowest common multiple of z and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - u**2 + 2*u - 1. Let n be t(2). Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0476641 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442487381?\nAnswer: 7, 63212483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10848510 divided by 2169702.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1390*f + 8311. Give o(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 54.033. Let u = 0.0351 - x. Round u to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-511)\/7 + (-2)\/(-3)*((-43875)\/90)\/(-25).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4347 and 200445.\nAnswer: 1804005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3303, 6653, 10017, 13401, 16811, 20253, 23733?\nAnswer: 27257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 29341*k\/3 + 14603120.\nAnswer: -(k - 30765)*(k + 1424)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f + 86. Let s be z(7). Let d(l) be the first derivative of -l**3 + 3 - 1\/4*l**4 + 2*l + l**s. Calculate d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 749*x**2 - 14. Let d(r) = 250*r**2 - 5. Give 14*d(p) - 5*f(p).\nAnswer: -245*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8639946 divided by 3591?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3016 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h**3 - h**2 + 9*h + 3. Calculate the lowest common multiple of t(-2) and 11.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 28 - 9)*(11 + 32*p**4 - 11).\nAnswer: 800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12 - (-2 + 6) and -3\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052561?\nAnswer: 1052561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**25\/d)\/d)\/((d\/d**(-18\/5))\/d)*d\/d**(-26)*(d**(-11\/2)*d)\/d assuming d is positive.\nAnswer: d**(409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 4 - -7 - (-2)\/(-2)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158 * -0.1.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5\/(-10)*(-19)\/((-114)\/24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*k + 4\/13 - 2\/13*k**3 - 4\/13*k**2.\nAnswer: -2*(k - 1)*(k + 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 183352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*c - 8, -4*p = p - c - 2. Suppose m - 4 = p, -3*y - y + 16 = 2*m. Suppose 0 = 5*t - y*t - 54. Calculate the greatest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 + 3) - ((-5 - -13) + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -50763*l - 78. Let q(o) = 2*o. Give d(q(u)).\nAnswer: -101526*u - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + sqrt(52))*5*-2 + 2) + 5.\nAnswer: -91 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(1792)*-5 + 2 + sqrt(1792) + 2))**2.\nAnswer: -28800*sqrt(7) + 3629200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-3)\/1)\/3)\/(11\/(-341)). Suppose 0 = -29*r + v*r. Solve 2*i + 28 = -i - 4*p, -3*i - 2*p - 20 = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 6, j: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18501 and 25\/33747.\nAnswer: 29731107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3274730 and 29?\nAnswer: -94967170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -30, -38, -46, -54?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 11*z + z + (-1 - 3 + 5)*(-2 + 2 + 2*z) - 2*z + 0*z - z - 1 + z + 1 + (-2*z + 3*z - 3*z)*(-3 + 3 - 2) - 3*z + z + 3*z + (3*z - 3*z + 3*z)*(2 - 1 + 1).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -220, -332, -446, -562, -680, -800?\n\"Answer: -w**2 - 107*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4) - 34\/(-4))\/1. Solve 4*c + j = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - ((-6 - 0) + -8) - -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95051767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 12)*(-z**4 - 3*z**4 + 2*z**4).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 7:30 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -226, -328, -410, -466, -490, -476?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809701*l**2 - 2393702*l**2 - 331276*l**2 + 2 - 861571*l**2.\nAnswer: -4396250*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 5*z - z)*(-2*z + 2*z - 2*z) + 12*z**2 - 18*z**2 + 12*z**2)*(0*z**2 - 6*z**3 + 11*z**3 - z**2).\nAnswer: 50*z**5 - 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2188 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*n - 5*m + 6, -m - 19 = -4*n. Let b = -1 + n. Let p = 3 + 18. Calculate the highest common factor of b and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 38 = -2*k + 22, 5*o + 2*k - 73 = 0. Let b(w) = -w**3 - 6*w**2 - 9*w - 3. What is the remainder when b(-6) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/50 + (-64)\/(-90). Put -4, u, -0.5 in descending order.\nAnswer: u, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 40.5.\nAnswer: -20.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 2. Let u(f) = 1. Let y = 90 + -96. Determine y*u(q) + 3*i(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488 - -484. Which is the nearest to -0.04? (a) 1\/6 (b) -0.1 (c) -0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46971 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 26080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 382 and 6303.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501033181 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 4*g + 0*g)*(4 - 4 + 3*g) + g - g - 2*g**2 to the form a*g**2 + c + m*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122428 and 631.\nAnswer: 77252068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.1, -2\/975, -0.49?\nAnswer: -2\/975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7153, 7091, 7031, 6973, 6917, 6863?\n\"Answer: g**2 - 65*g + 7217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 4, 87.4, 7?\nAnswer: 87.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 704 = 5*z - 698, 180 = -2*z + 16*o. Let d(f) = -f - 2*f - 2 + 4*f. What is d(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -9, 0 = -n - n + h - 31. Let f = n + 17. Suppose -3*z - 6*b + b = -3654, 0 = -f*z + 5*b + 3624. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (761974\/(-3991) + 191)*13\/250?\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17 - 22 - 6*-192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c - c)*(-3*c + 2*c + 0*c) - 28*c**2 + 35*c**2 + 43*c**2 + 0*c**2 - 2*c**2 + c**2 + (0 + c + 0)*(2*c - 2 + 2).\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let t(v) = 9*v**2 - 4*v. Let c(a) = 2*a**2 - a. Let o(y) = -22*c(y) + 6*t(y). Let i be o(b). Calculate the greatest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 27 = 21*x. Solve 4*v + 4*g + 8 = 0, 3*v + x = 2*v - 3*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 9*q - 30. Let h be b(9). Is 4\/(-10) - (1032\/h - -6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -28*n - 380. Let g(u) = u + 11. What is -32*g(q) - v(q)?\nAnswer: -4*q + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 281*n**2 + 103*n**2 + 176*n**2.\nAnswer: 565*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 64?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 + (-8 - -17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144 + 144 - u**2 - 22*u + 9*u to x*u + g + a*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5906*b**5 - 172*b**3 - 2*b**2 - 18556530*b?\nAnswer: -118120*b**3 - 1032*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -0.1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34666187 a multiple of 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 460 (b) -22490 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.136 and 0.297?\nAnswer: 0.337392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and -408567.\nAnswer: -408520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 92 = -5*n, 0 = -4*t - 0*n + 4*n + 368. Let i = -4 - -7. Suppose 5*u - 183 - t = 5*f, i*f - 141 = -3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -289*h + 33. What is y(-2)?\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457738 to the power of 1\/2, to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 5*t - 6 = -15*w, -15 = -5*w - 2*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9097?\nAnswer: 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p. Suppose -4 = 4*k - 12. Suppose 4*d = 5*w - 38, 27 = 4*w - w - d. Solve p*n = -k*n - w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -13)*(13 - 1). Calculate the greatest common factor of 132 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.8 - -3.2. Let i = -18 + u. Which is the fourth biggest value? (a) -0.05 (b) i (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*u + 23 = 28, 3*p - 5*u + 25 = 0. Let l be (12\/(-20))\/((-8)\/p). Which is the nearest to -2\/3? (a) -0.5 (b) -1\/8 (c) 1\/9 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-1)\/(3*(sqrt(8) - (sqrt(200) + sqrt(8)))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(800) + 0)*5)**2 - (sqrt(352) - 3*(sqrt(352) - -2*sqrt(352)))\/(sqrt(77)\/(sqrt(28)\/sqrt(4))).\nAnswer: 32*sqrt(2) + 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkgv when four letters picked without replacement from vkvg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzzlhhjzhhhlhhhhh. What is prob of sequence jl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201898*r**3 - 2 + 1295*r**2 - 204615*r**3 + 2 wrt r?\nAnswer: -16302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**3 + 4*f**2 + f - 4. Let y = 1997 + -1993. Let s(v) = 8*v**3 + 3*v**2 - 3. Calculate y*s(z) - 3*h(z).\nAnswer: 8*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/5)*f)**(-47)\/(f**(-5))**(-2\/21) assuming f is positive.\nAnswer: f**(-10907\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85, 189, 297, 409?\n\"Answer: 2*o**2 + 98*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 1\/2*m**2 + 4 - 6*m. What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 3. Let k be v(0). Let n(s) = s - 2*s + k*s. Let c(g) = -3*g**2. What is c(n(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 40*o**2 + 411*o + 313. Calculate n(-15).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214\/633 - 1\/211. Let q be (-1)\/(-36) + 2\/(-8). Put q, x, -4 in increasing order.\nAnswer: -4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - m**3 + m**3 + (4*m - m - 2*m)*(4*m**2 - m**2 - 2*m**2) - m**3 - 3*m**3 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -724700 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2\/9 + (-44)\/36. Suppose 0*i - 3*z = i + 13, -i + 5*z + 11 = g. Let p be (-66)\/4*(i - -2). Which is bigger: p or 32?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 + 5607*z\/5 - 511446.\nAnswer: -3*(z - 1079)*(z - 790)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*s**3 - 356*s**3 + 284*s**3 + 1 - 3.\nAnswer: 233*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:55 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o - 3*o)*(-5*o**2 + 2*o**2 + 2*o**2) - 5*o**3 - o**3 + 8*o**3 + 12*o**2 - 6*o**2 - 11*o**2 + 4*o**3.\nAnswer: 9*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52743 - 26354 + 3*h - 26367 - h**3.\nAnswer: -h**3 + 3*h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156 * 0.119.\nAnswer: -18.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:43 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142241.17 + 142241. Let o = 1.8 - 2. What is the third smallest value in -0.6, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110085?\nAnswer: 3, 5, 11, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/235909 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let v(w) = 10*w. Let t(z) = -5*z. Suppose 5*m - 24 = -3*y, 2*m - m = y. Let u(g) = y*v(g) + 7*t(g). Calculate b(u(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(80) - -1*sqrt(80)*5) + sqrt(55)\/(sqrt(11) - 2*sqrt(1331))) + -5)*-3.\nAnswer: -503*sqrt(5)\/7 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 + -119. Suppose 4*z = s + 2. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:29 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkxxdzn. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 420, 4, -7\/52 in decreasing order.\nAnswer: 420, 4, 0.4, -7\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 23*s + 230 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 125*x**2 - 130*x.\nAnswer: 5*x*(x - 26)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -384 + 90. Suppose 1440 = x*u - 40*u. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*4)*5)\/(sqrt(11) + (sqrt(704) - 1*sqrt(704)) + sqrt(704)) - (-1 + (sqrt(2448) - (sqrt(2448) + 1)) + (sqrt(2448) + 0)*-3 + 0).\nAnswer: 2 + 349*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 11 (c) -0.3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 259*a + 347. What is v(129)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - s + 2287 = 2286, r - 6*r - 5*s + 20 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 3. Determine c so that -3*c + 8*c**r + 2*c**4 + 0*c**4 + 12*c**2 + 2 + 10*c + c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -14.17 (c) -6\/19 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1966706*c**2 + 14*c**3 - 1966706*c**2.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/(r\/(r*r**2*r)))\/((r\/(r*r**(3\/7))*r)\/(r\/r**5)))\/(((r**(3\/4)\/r)\/r**0)\/(((r\/(r*r*(r*r\/r**(1\/2)*r)\/r))\/r)\/(r*r*r**(-3\/7)))) assuming r is positive.\nAnswer: r**(-151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -97\/3. Let y(d) be the first derivative of d - 5\/2*d**2 - u*d**3 + 1. What is y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 6. Suppose 0 = 3*w - 8*w - v + 6, 4 = -2*w - a*v. Is 2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 767, 942, 1117?\n\"Answer: 175*i + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*w - 52 + 308 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -350 - -350. Let f be (-2 - (2 - 0)) + 52 + -43. Solve h = 8*b - f*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkz when three letters picked without replacement from zddzdffkzfffdddd.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - t = -19 - 197, -3*s = -5*t - 664. Suppose s = 8*o + 98. What is the lowest common multiple of 5 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5399?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03352179997 rounded to five dps?\nAnswer: 0.03352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77486342?\nAnswer: 2, 38743171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**2 - 76*n - 5. Calculate o(-6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t - 31 = 410 + 859 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 32312?\nAnswer: -32322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1, -5.\nAnswer: -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*b = -2*f - 272, 2*f + 11 = -12*b - 2*b + 15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + r)*(3*r - 3*r + 2*r)*(-3 + 0 + 0)*((8 + 6 - 4)*(-1 - 2 + 2) + 2 - 3 + 3).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y\/(y\/(y*y\/(y*y*y**(-2\/9))*y)))\/y)*y**(1\/2))\/(y*y*y*y**1*y)**(-1\/3)*(y**(-1\/3))**9\/(y\/y**(2\/7))**(1\/17) assuming y is positive.\nAnswer: y**(-4493\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 26*p**2 - 41*p - 21. What is the units digit of c(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7))**(-2\/83)\/(k**(-5\/6))**(7\/6))**9 assuming k is positive.\nAnswer: k**(3337\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1354 - -1354. Solve t*o - 2*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o**0)\/o))\/o**(1\/4)*(o\/(o*o*o\/o**(-4)))\/o*o**(-4\/5)*((o\/(o*(o**(-4\/5)\/o*o)\/o*o))\/o)\/((o\/o**(3\/4))\/o)*(o*o**(-1))\/o**8 assuming o is positive.\nAnswer: o**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1320)\/48 - (126 + -134)\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 329 divided by -35\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let p = -1 + 4. Suppose -p = x*r - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265917749.\nAnswer: 19, 101, 138571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = 41 + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1737.9223 - -1738. Round y to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -7135\nAnswer: -16\/7135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -257280760 to the nearest one million.\nAnswer: -257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -7*n**5\/60 - 5*n**4\/24 - n**3\/2 - 1032*n**2. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 20. Let b(u) = 4*u + 21. Let a(x) = 5*x + 20. Let j(z) = w*b(z) - 4*a(z). Is j(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*f + 3*f - 11, 2*t + 14 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 10*j + 6. Suppose -3*h - 24 = -6. What is the remainder when 70 is divided by r(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 - -2.96. Let f = x - 3. Let h = -9\/20 + 1\/5. Which is the closest to h? (a) 0 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (-4 + sqrt(51)\/sqrt(3))**2) + -2 + -4*sqrt(1700).\nAnswer: -134 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f**2 + 323*f + 11. Let c(s) = 7*s**2 + 160*s + 5. What is -13*c(k) + 6*x(k)?\nAnswer: -7*k**2 - 142*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 615*z + 148*z + 1088*z + 127719 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006076207 to 7 dps.\nAnswer: 0.0060762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/238 and -49\/10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009172 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 4*d + 3. What is f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4.3 (c) 4 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -50373361*-0.3\nAnswer: 15112008.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z + 5*z + 10*z - 20*z - 10*z + 1652 in the form h + s*z and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 53, 83, 111, 137?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 1140*g**2 + 95*g**2 + 15*g.\nAnswer: 1235*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, 2 in increasing order.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 + 11715690*z**2 + 6862857893100*z - 13725762649000 = 0.\nAnswer: -1171570, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -17.05. Let l = -0.8 - x. Round l to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + -3. Suppose 4*x = 4*y - x + 7, 2*x = y + 4. Let h be (y\/22)\/((-3)\/6). What is the second smallest value in -3, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -696 and -2090.16.\nAnswer: -2786.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h + 2*u + 28 = -57*h, -4*h = -u - 98. Solve 5*i - v = -h, -5*i - 7 - 9 = v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/193426 and -33\/12410.\nAnswer: 70600490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1553 - -1569. Solve -4*w = v + c, 18 = v - 2*w + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12176?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 less than 465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 40 (c) -8 (d) -2\/7 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r - 1. Give b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -113639 - 0.4\nAnswer: -113639.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w. Suppose 3*z - 8*z + 5 = w. Calculate the remainder when 7 is divided by 1\/(z + 9\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36517820.\nAnswer: 2, 5, 1825891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*f, 10*f - 4 = 3*w - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3 + 398*w**2 + 19998*w + 19602 = 0.\nAnswer: -99, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 220368 or 1101833\/5?\nAnswer: 220368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-11) + (-2)\/(-11). Suppose -3*q = -3*h + 60, -2*h + 3*h = c*q + 25. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y + 1494 = -8*y + 24*y. Solve 7*i - 55 = y*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 8 = 5*u + 4*k, -815*u = -814*u + 3*k - 14 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3359 - -3357. Let n be (159*-1)\/(1\/(-39)). Is n\/12 - (k + (-14)\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140983908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287 divided by 14240?\nAnswer: 5287\/14240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -471 + 819. Calculate the least common multiple of j and 36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, c: 1, o: 3, f: 1}. Give prob of sequence ofo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*508\/635\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let v(h) be the third derivative of -h**8\/5040 - h**5\/60 + 5*h**2. Let i(s) be the third derivative of v(s). Give i(x(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6889813 and 679.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-141)\/(-27) + 2\/(-9). Let x(q) be the first derivative of q**2 - 2*q + 1. What is the remainder when x(p) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 18*l + 6. Suppose 0 = 4*a + 4*i - 88, -a + 2 = -2*a + 5*i. What are the prime factors of h(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 9) to base 16\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 1 + 1)*(4 - 8 - 3) + 18 - 5 + 9)*(-3*v + 2*v + 3*v).\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71084.578 from -0.2.\nAnswer: -71084.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2706 times 64849?\nAnswer: -17548.1394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -7 + -48 + 61).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492359.\nAnswer: 7, 37, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4884 = 34474. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592947666037894 + 1.\nAnswer: 592947666037895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1055\/57 - -358\/19. Let w = -3.6 - -3. Let r = w + -2.4. Which is the nearest to 0.1? (a) q (b) 4\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4219955 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 5, x: 2, d: 3, a: 2, y: 6}. What is prob of picking 1 x and 1 y?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*p - 620, 14*a - 18*a = -2*p - 514. Calculate the greatest common factor of a and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.5, -1\/4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**7*i**8*((i**5\/i)\/i)\/i**(2\/17) assuming i is positive.\nAnswer: i**(321\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -3, -0.985?\nAnswer: -0.985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let q(j) = j. Let z(h) = 3*a(h) - 6*q(h). Give z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*m - 4*m - 11, -2*m = 2. Let y be -3*u\/(-27)*-3. What is the common denominator of 83\/6 and ((-3)\/(-72))\/(y\/262)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202122001 (base 3) to base 15\nAnswer: -a44d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1983150 (base 12) to base 9\nAnswer: -11134846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10110.71 - -10111. What is the third smallest value in 37, 0, a?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 + 188*r + 58800 = 0.\nAnswer: -100, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 26 + 11 + 27 + 2*t - 15.\nAnswer: t + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 37.57259?\nAnswer: -38.57259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9369.73t to kilograms.\nAnswer: 9369730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -10, 0.7, 5, -1\/3, -2113, 5\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:49 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*v**3 + 211*v**3 - 387*v**4 + 151 - 420*v**3 + 265 wrt v.\nAnswer: -1548*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 9) to base 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 != 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 4*i**2 - 5. Let t(p) = -5*p**3 + 4*p**2 - 6. Let s(v) = 6*r(v) - 5*t(v). What is the third derivative of s(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 6. Suppose 2*f - 210 - m = -4*i, -f + 171 = -2*i. Let k = f + 40. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 124.1. Let g = w + 30.29. What is g rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -0.2 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (6 - 10) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26941\/4 <= 6734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 1540108718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97757786?\nAnswer: 2, 7, 17, 410747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/2819 + 59207\/5638. Factor 15\/2*x**2 + 9\/2 + a*x + 3\/2*x**3.\nAnswer: 3*(x + 1)**2*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2492 = -5*a, -3*a + 5*h + 1981 = a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5497.\nAnswer: 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(-8 - -7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4104 and 12312.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 286344 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 294*b\/5 + 5292\/5.\nAnswer: 2*(b - 126)*(b - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 3*t**2 - 6*t + 2. Let q be g(-4). Suppose -5*l + 3*z = -2*z + 30, 5*l + q = 2*z. Which is smaller: l or -9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 + 13)*(2 - v - 2)*(26*v - 5*v + 29*v).\nAnswer: -950*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727828 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68*(-1)\/6*3. Let n = f - -44. What is the least common multiple of n and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 61 = -83. Let w(l) = -l + 1. Let g(k) = k**2 + 3*k - 5. Let x(v) = g(v) - w(v). Calculate x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*j + 2)*(-5 + 2 + 2 - 4 + 1 - 7 + (-1 - 1 + 4)*(-4 + 1 + 2))*((-1 - j + 1)*(1 + 1 + 0) - 1 - 2*j + 1 + (5*j - 3*j - j)*(1 + 15 - 6)).\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -571 - -574. Suppose 28082 - 2732 = q*g. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2103928565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 15. Let c be n(13). Sort 3, 5, c in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -463. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136044 is divided by 301.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 711*m**3 - 94*m**2 + 1827*m - 28 wrt m.\nAnswer: 4266*m - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67224 + 4?\nAnswer: 67230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and -18\/6512695.\nAnswer: 26050780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 + 0) + 7. Calculate the remainder when 739\/t + 9\/21 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + 29 - (-38 - -42))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -49, -132, -257, -430, -657, -944?\n\"Answer: -n**3 - 12*n**2 - 4*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 8*d. Let h be b(6). Suppose -4 = -f + 3*k, 3*f - h + 0 = -k. Let v(r) = f*r + 0 - 1 + 1. Let g(y) = y**2. Calculate v(g(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54793127 or 54793124?\nAnswer: 54793124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 7. Let j(u) = 6. What is 4*j(c) + 3*n(c)?\nAnswer: -3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/178623035 + 26529271782363\/33581130580. Let t = -790 + h. Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54795, 51210, 47619, 44022, 40419?\nAnswer: 36810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4650, -1785, 1080, 3945?\n\"Answer: 2865*v - 7515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78778683.\nAnswer: 3, 599, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 6\/137, 0.3, -1\/4, 2\/3?\nAnswer: 6\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n + 31*n + 11*n in the form b + x*n and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 475484776 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o = 4*w + 7, o + w = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160122?\nAnswer: 2, 3, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 1. What is the greatest common divisor of v and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -347.\nAnswer: 7\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 2. Let f(p) be the third derivative of p**4\/8 + p**3\/6 + 3*p**2. Let y be f(-1). Calculate a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g + 30. Let z(f) = 26*f - 35. Let c(b) = 7*s(b) + 6*z(b). Let q(d) = -7*d + 28. Calculate c(q(x)).\nAnswer: -14*x + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 5 + (-3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6*k = -4. Suppose -f = k*f, -5*g - 5*f = -50. What is the first derivative of 5 - 4 + t**2 - 14*t**2 - g*t**2 wrt t?\nAnswer: -46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/120 + o**5\/15 + 7*o**4\/24 - 11*o**3\/6 - 75*o**2 - 2. Is i(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -512628 and 0.3.\nAnswer: -512627.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3517\/2 + 1759. Let k = 0 + -4. Which is the nearest to i? (a) -3\/13 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-3 - -10 - (8 + -3 + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1 + 8*p + 6*p + 88*p**2 - 89*p**2 + 0. Let b = 16 + -9. Calculate the remainder when u(4) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from lnneppv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 3\/2, -54, 4\/5 in descending order.\nAnswer: 3\/2, 4\/5, -0.2, -0.5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ielezmmgimii. Give prob of picking 1 z and 2 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.518, 85.38, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 20. Suppose -3*r + 5*g = -k*r + 122, 3*g = -3*r + 93. Suppose 3*c - 5*q + 0*q = r, 5*q = -2*c + 47. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/9633 and -25\/1745796.\nAnswer: 22695348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 8) in base 7?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45363680 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 300 = 17*z. Let x be (z\/8)\/((-7)\/28). Is x <= -37\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w**2 + 9*w + 7. Let y(h) be the third derivative of 3\/20*h**5 - 1\/4*h**4 - 5\/6*h**3 + 0 - 95*h**2 - h. Calculate -5*d(k) - 7*y(k).\nAnswer: 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 5*g + 15*g + 8*g - 5*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, j: 3, f: 1, c: 5, u: 1}. Give prob of picking 1 q and 1 c.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32843398?\nAnswer: 2, 7, 2345957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14283*b**2. Let d(p) = 5663*p. Calculate d(m(o)).\nAnswer: 80884629*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3\/4 + 95*l**2\/2 + 1615*l\/4 + 715\/2 = 0.\nAnswer: -26, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-7)\/(-5))\/((-14)\/1540). Let x = i - 33. What are the prime factors of ((-26)\/(-6))\/(x\/99)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66456 or -66455?\nAnswer: -66456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2 - (44695\/91)\/5. Let l = -94 - y. What is the third smallest value in l, -0.4, 3\/2, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334003254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3980, -2\/7, -1\/3, 0.1698 in decreasing order.\nAnswer: 3980, 0.1698, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2 + 88*g - 134 with respect to g.\nAnswer: -4*g + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402898338 divided by -6.\nAnswer: -67149723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:25 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32840.4 times 2\nAnswer: -65680.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-n + 0*n + 2*n) + 317*n + 324*n + 954*n as d + t*n and give t.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*n)*(n - 1 + 1) + 2*n**2 - n**2 + 0*n**2 - 799 + 799 + 47*n**2.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4243 from -46.\nAnswer: -4289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 - 176. Find the common denominator of 39\/8 and (2 - v) + (-1280)\/(-144).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 = 2*c. Is c + 4 + -4 + 296 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38075?\nAnswer: 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 311351.74 days?\nAnswer: 44478.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006091 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 321 = -73 - 90. Calculate the least common multiple of y and 580.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1816513, -3633307, -5450101, -7266895, -9083689?\n\"Answer: -1816794*m + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y - 8. Let v(m) = m + 1. Give c(l) + 4*v(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7903?\nAnswer: 5\/7903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 3.98, 0, 4?\nAnswer: 3.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6804 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(-13)\/x)\/x)\/x)\/x)\/x)\/x*x**(-1\/16)*((x**(-1\/5)\/x)\/x)\/(x*x\/(x\/(x*x\/(x**(-3)\/x)))) assuming x is positive.\nAnswer: x**(-2261\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430*u**2 - 3*u**3 - 1430*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230.9 + -231. Let d be 518\/555 - 8\/10. Let f = -3.2 - -3. What is the closest to 1 in f, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n**3 - 36*n**3 - 77*n**3.\nAnswer: -150*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1589 and 3.\nAnswer: 4767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12482 is divided by 1345?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - o + 2. Let n be a(0). Suppose -2*c - n*c = -16. Suppose 2*w - c*z = -0*z + 12, -4*w - 5*z + 24 = 0. Solve y + w = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17796223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1724840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 2, n: 2, g: 1, u: 4, i: 2}. What is prob of picking 2 s and 1 i?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -11. Let j = -7 + v. Solve -j*a - 7 = 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7)\/(o\/o**(1\/4)))**(-24\/7)*o\/(o*(o**1\/o*o)\/o)*o**5*o**(-1)*o**4 assuming o is positive.\nAnswer: o**(590\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*t**3 - 9*t**2 + 9*t**2)*(t - 9*t - 2*t) - t**3 + t**3 - 2*t**4 to the form b + r*t**4 + z*t + y*t**3 + x*t**2 and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = -10*b. Suppose 5*z - 2*h = 29, -4*h + 2*h = z - b. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*o + 24, 11*j + 4*o - 122 + 350 = 0 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(16\/(192\/126))*(14\/2)\/(-28).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38899 + 2956279\/76. What is the common denominator of k and 57\/1252?\nAnswer: 23788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 3\/7 (c) -0.4 (d) -3\/4 (e) -0.2 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26446834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*k - 2*k - 2, 15 = -5*v - 5*k. Find the first derivative of 23*d**3 - 53 + 3*d**v - 3*d**2 - 33 wrt d.\nAnswer: 69*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 58. Suppose -4*u - 8 = -4*j, 2*j - 25 = u - 6*u. Suppose j*q - 28 = m. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530293?\nAnswer: 1530293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 10*f + 10 + f + 6*f + 7*f to the form g*f + u and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 51. What is q(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 2.04. Let t = 11 - 11.6. Let b = t + 0.8. What is the second biggest value in -3, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6102.0288 minutes in weeks?\nAnswer: 0.60536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.017 in -5094, -0.5, -1\/3, -6, 5, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31995 + 31995. Let x be (-2)\/(-8) + (-27)\/92. Is d < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6112, 11999, 17884, 23767, 29648?\nAnswer: 35527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -3508239516.\nAnswer: -3508239521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + 70*n**2 - 101*n**2 + 105*n**2 - 5*n**3.\nAnswer: -5*n**3 + 74*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079900 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022638 to 5 dps.\nAnswer: -0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 52, 78?\n\"Answer: 26*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b. Let c(m) = -2*m + 323880. Give c(r(n)).\nAnswer: 8*n + 323880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 40. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-15911857)\/26 + -11. Round i to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -33724, -0.4.\nAnswer: -33724, -7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615148?\nAnswer: 2, 29, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1385313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 6303?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 76*z**2 - 17*z + 5*z + 1 + 7*z + 328*z**2. What are the prime factors of v(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 22 = -2*v, -4*v - 2*j = -7*j - 49 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29002\/(-853))\/((-6)\/(-4)*20\/15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1215 and 2430.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48124 or 42267?\nAnswer: 42267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/7)\/(-3*4\/(-294)). Suppose 8 = -19*n + u. Factor m**2 + 0 + 3\/2*m**3 - 1\/2*m**5 + 0*m**n + 0*m.\nAnswer: -m**2*(m - 2)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6271 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76670 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5322 and -69\/20.\nAnswer: 53220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1320\/(-84) - 30\/105)*(-20)\/32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a949 (base 11) to base 9.\nAnswer: -220440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**8\/4 - a**4 + 13*a. What is the third derivative of r(b) wrt b?\nAnswer: -1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joylfjylllfllfylod. What is prob of sequence odjl?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1688 + -3?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 546*g - 554*g. Is (-4)\/g + (9 - 24374\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57169813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1)**2 + 0)*4.\nAnswer: -56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*k = 218*k - 1998 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124545 and 360?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 4*r, -3*m + m = -4*r. Let f be ((-6)\/(-3))\/(7\/m). Let j be (-2)\/16*-2*-3. What is the closest to -1 in 3, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -0.3 (c) 0 (d) -0.59 (e) 1.6 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 5. Suppose 2*i + 17 + 23 = b, 3*b = 3*i + 57. Let u = -25 - i. Let n be g(u). Solve 2*d + n = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrnebmmbbm. Give prob of picking 1 b, 1 m, and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 327\/2579 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 369 - 415 - (-5 + (-2 - 3)) - -11\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4) - 287\/(-41)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**2 + 2368*k - 3141. What is l(196)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(272) + 4 - 1*(sqrt(272) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 + 6*j + 2. Suppose -2*i - 8 = -0*i. Calculate the remainder when v(i) is divided by (156\/(-364) - (-192)\/7) + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:26 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -10 - (5 - -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-84)*-2)\/(-5))\/(1\/7)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) 3 (b) 1 (c) -0.3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.7725126 and 0.4846.\nAnswer: -9.2879126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*w + 287, 4*w + n = 5*n + 336. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4*(-16)\/40)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213342156 and 6.\nAnswer: 213342156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -17.8 (b) -5 (c) 0.4 (d) -0.03 (e) 2\/105 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 4. Let o be d(-5). Let x(r) be the second derivative of -r**4\/12 + 5*r**3\/2 - 13*r**2\/2 - r + 76. What are the prime factors of x(o)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*30\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 463. What is the remainder when -1*5\/20*r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u**5 + 0)*(2 - 2 + 2)*(0 + 21 + 13).\nAnswer: 136*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 - d + 4. Suppose l + 6 + 6 = -3*t, t = 4*l - 4. Let v be (l - (-6 + 3))*-1. Let j be (v + 1)\/(2\/5). Determine p(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 13*l + 7. Let h be x(14). Let m be ((-60)\/35)\/(-6)*h\/(-4). Which is the second biggest value? (a) m (b) -1\/4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*m - 5*k, -25*k + 24*k + 6 = m. Let f(o) = -2*o**3 + o**2 + 5*o + 5. Calculate the remainder when f(-2) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.07, -7\/4, 1.08, 1\/33, 5?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (492\/4)\/(1*(-1 - -2)). Let t = u - -38. List the prime factors of t.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/5, 1\/5, -2\/7, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 - w - 1. Let s(i) = -4*i**3 + 12*i**2 - 4*i - 7. Let v(y) = s(y) + 5*t(y). Let o be ((-33)\/22)\/((-6)\/(-32)). Give v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3))\/v*v**(-9))\/((v*v\/(v\/v**(-1\/4))*v*v)\/(v*v\/(v\/(((v\/(v\/v**(-8)))\/v)\/v)))) assuming v is positive.\nAnswer: v**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287.66*-1.\nAnswer: -287.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2038\/15*s**2 + 4\/15*s + 0 = 0. What is s?\nAnswer: 0, 2\/1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63673422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-14))\/(66\/(-21))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2. Let o be l(0). Suppose 0*g + g - 24 = o. Let a(i) = -i**3 + 12*i**2 + 2*i + 25. Let n be a(11). What is the highest common divisor of n and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145699?\nAnswer: 367, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5045876 to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67166*p - 44105 wrt p.\nAnswer: -67166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1 - 2 + 5*y**2 - 2*y**2. Suppose -15*t + 1 = -14*t. Determine p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/196*1\/24)\/((-38)\/(13832\/156))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {z: 7, v: 7, b: 4}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 22. Let k(m) = -61 + 41 - 2*m + 26. Let l(q) = 4*q - 14. Let u(c) = 14*k(c) + 6*l(c). Calculate r(u(h)).\nAnswer: 32*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/264 + 3\/(33\/2891). Let o = 267 - p. Solve o*y + 16 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1179 + 1929?\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.38 + -0.62. Let f = 411.01 - 447.092. Let n = f - j. Round n to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326175 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 5. Suppose d*h = 5*h - 43. Let m = 78 - h. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17139 is divided by 2855.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416503449?\nAnswer: 3, 6211, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 12*a**2 + 28*a - 29. List the prime factors of q(12).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 41*x**4\/24 - x**3\/3 + 2*x**2. Suppose -w + c + 0*c - 2 = 0, -2*c + 6 = 0. Does 13 divide k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 24*t. Suppose 0 = p + p - 6. Suppose -1 = 2*a - p*u, t*a - a + 2*u = 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 10:22 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(1\/746) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/30)\/((616\/(-140) - 4\/(-10)) + 2)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -81 and 34.9174?\nAnswer: 115.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8.86 * -134\nAnswer: 1187.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110202 (base 3) in base 15?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2472732 and -89\/549496.\nAnswer: 4945464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2734 - 926. What are the prime factors of v?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7526 is divided by 6362?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -a + 978, -l - 233 = -2*a + 1716. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -951*x**2 - 26689*x - 1713. Determine q(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 118, -5 in decreasing order.\nAnswer: 118, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230241916202 minus 5?\nAnswer: -1230241916207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12749 + 20335. Is m a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12636344 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/5 + 2427*h**2\/5 + 255189*h\/5 + 50553 = 0. Calculate h.\nAnswer: -685, -123, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 488. Calculate the remainder when l(34) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/(-8 + 100\/12). Solve -c*x + 3 = -v - 7*x, 3*v + 3*x = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4320255 (base 7) to base 14\nAnswer: d9965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + 5*f + 10. Suppose -258 = 3*j - 4*i, 3*j = j + 5*i - 165. Let c = j + 95. What is the units digit of s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-25))\/(7\/35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2436 - 1503611?\nAnswer: -1506350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**2 - 9*x**2 + 10*x**2.\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 323 + 313 = p, 9*l + 28 = -5*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 45*q + 17. Determine v(-27).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7985 - 95801\/12. What is the common denominator of s and -28\/681?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - 8*m**2 + 11 + 0 to h*m + j + f*m**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -43. Suppose g*y + 15 = 3*j, 2*y - 18*j + 15*j = -15. Suppose 4*n + 5*f - 2*f + 24 = 0, -4*f - 19 = n. Put n, -4, y in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -431297, -862463, -1293629, -1724795, -2155961?\n\"Answer: -431166*x - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3465)\/49)\/1 + 2\/(-7). Let a be (0 + (-6)\/(-8))*(67 + k). Is 986\/a*3\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - 3*x**2 + (0*x + x + 0*x)*(3 - x - 3) + x**2 + 15*x**2 + 3*x**2 + (3 - 3 + 2*x)*(-x + 5*x - 2*x).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 46*g**3 + 8 + 4*g**3 + 0 + 21 + 2.\nAnswer: -42*g**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.047 >= -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1038 + 1039. What is the least common multiple of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3695*t - 48. Let f(s) = -2*s**2 + 8*s + 11. Let x be f(5). Is y(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqbqqxqwxqhx. What is prob of picking 1 q and 1 x?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4) + 5 + -1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l\/(l*l*(l*l*l**(-2\/5)\/l*l)\/l)*l)*l))**(-2\/33))**(2\/7))**(-6) assuming l is positive.\nAnswer: l**(-104\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466550 and 20.\nAnswer: 933100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1218, 2438, 3658, 4878?\n\"Answer: 1220*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1755 + -608900837.\nAnswer: -608899082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + v)*(-2*v**3 + v**3 - v**3) + 0 + 0 - v**4 - 23*v**2 + v**3 - 49*v**4 + 56*v**4 - 11*v**4.\nAnswer: -7*v**4 + v**3 - 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 34*z**2 - 33*z + 14. Calculate t(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -83348777 to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13382738*d**2*y - 14*d + 895990*y - 64 with respect to d.\nAnswer: -26765476*d*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 904*s - 23672. Determine z(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -1.3. Let k = -18 - -11. Which is the biggest value? (a) p (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*-5*(-3 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:48 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 29 = 31. Let u be (-744)\/(-22) - l - 1. Is u greater than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -17. Let h be 5\/(-6)*(-7)\/(-245)*r. What is the nearest to -17 in -0.3, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n**3 + 3 + 1 - 4.\nAnswer: -31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41972.992887 + -41973. What is w rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 407 - 407 + 19*m**2. Suppose -2*l + 4*l + 2 = 0. Calculate the remainder when 36 is divided by s(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.64392 times 0.09\nAnswer: 0.1479528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18 and -44\/470717?\nAnswer: 470717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266522 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20358 + -56158. Round a to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3091 and 3653.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 43935?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -22*l + 166. What is the remainder when l is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/19 + 1239690*m\/19 - 1239692\/19 = 0.\nAnswer: -619846, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:56 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -26*j + 62. Suppose -g - j + 73 = 0. Calculate the remainder when g is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 38 = 1048. Suppose z - j = n, z + 5*j + 65 = 240. Suppose -63*w - z = -69*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 20 = -11*x. Solve x*r + 16 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 22464?\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 40. Let i be b(20). Let h be 112\/70*(-11 - -1). Sort i, h, 3 in ascending order.\nAnswer: h, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.17. Which is the second smallest value? (a) 1\/2 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 6991068?\nAnswer: 97874952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/60 - 4*y**5\/15 + 23*y**4\/24 + 13*y**3\/2 - 6469*y**2. Determine c(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162384280 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859542 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 101 - 1 = 0. Let c(a) = -a + 6. Let d be c(4). Let r be d\/t*(12 - 7). Sort -0.1, 3, r in decreasing order.\nAnswer: 3, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -25. Let x = 21 + v. Let s(i) = -2*i + 14 + 3*i + x*i. Calculate s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 - 17 = 3*c, -5*c = h + 4. Let l be 3 + 0 - (-167 - c). Suppose -d - 2*d - 53 = -r, 4*d - l = -5*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - n = 7, 47 = 5*h - n. Let s(i) = 2*i - 44. Let p be s(h). Let t be ((-1)\/4)\/((-6)\/p). What is the closest to -0.1 in -0.4, t, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204281964 and 2?\nAnswer: 204281964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -21*b**3 - 5*b - 5. Let o(c) = -52*c**3 - 13*c - 13. Let v be -1*8\/6 + (-451)\/123. What is v*o(t) + 13*d(t)?\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + 64 + -79.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*y + 9284, -4*q + 0*y + 18600 = -2*y. List the prime factors of q.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0*s**2 - 3*s - s**2 + 3*s - 3*s. Let v(d) = d + 5. What is -2*v(i) - 5*x(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*j = -6, -3*q + 4*j - 6 = 6*j. Suppose q*i - 3*i = -33. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 101 + 101. Suppose 2*y + 3*y + 10 = 0. Let r be b(y). Solve 0 = 2*j - 10, -r*o - 4*j + 2*j = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84) - sqrt(84))\/sqrt(6))\/(sqrt(28) + sqrt(28)*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107825, -107823, -107821, -107819, -107817?\nAnswer: -107815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y + 14*y**3 + 28*y - 16*y**3)*(0*y - y + 3*y) - 4*y**4 - y**4 + 7*y**4.\nAnswer: -2*y**4 + 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:31 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (-106 - (-32 - -2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0 - 17) + 15 - -10\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 0, 3*d = 2*a + a + 15. Suppose p - 12 + 6 = d. Solve -p*r = -0*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 432 - 310 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -25*s - 61. What is the tens digit of g(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71843710 a multiple of 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 + 3)*(0*q + 3*q - 4*q) - 6*q - 4 + 5 + 11*q to the form u*q + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**2 + 30354996*z - 76785481846668 = 0?\nAnswer: 5059166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.43 millilitres to litres.\nAnswer: 0.08843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3718698159 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-3 - -14)*(-22)\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*m = -5 - 11, -2*m = -4*x + 6. Suppose -7*b + 2*s = -2*b - 315, -x*s = -20. Suppose 0 = 7*l - 6*l - b. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 202. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156513 or 156511?\nAnswer: 156513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4 + 0 - 14 = 10, 93*c - 44 = -28*c - n - 155 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*s = -58*s - 6*s - 1930 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 3)*(1 - 1 - 3*j**3 + (3 + 1 - 2)*(0*j**3 - j**3 - j**3) - 4*j**3 + 2*j**3 - 2*j**3) to b*j**3 + a + i*j + c*j**2 and give b.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**2. Let s(r) = 28*r**2 + 164*r + 2. Give s(d(v)).\nAnswer: 4032*v**4 - 1968*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 299220619.\nAnswer: 299220615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.2 * 26.02\nAnswer: 239.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 6*a - 2. Let x be 93\/(-12) + 3\/4. Let p be y(x). Suppose -h - p = -12. What is the remainder when 25 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 18317119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081504668.\nAnswer: 2, 523, 2907029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(85))\/(-4*sqrt(25)\/sqrt(5))*6.\nAnswer: 45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 minus -0.08?\nAnswer: -453.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**2 + 0*n**3 + 0*n + 1\/4*n**4 + 0. Calculate d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -2\/9, -8, -0.05, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4754\/11 + -432. Find b, given that 0 + 4\/11*b**2 + y*b**3 + 2\/11*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*v + 4 + 0*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -1\/4 (c) 2359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/10*(-65)\/(-208)*-8 - -891. Which is bigger: 896 or j?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411 divided by 1?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 - 7*v - 13. Let d(y) = -11*y**2 - 8*y - 9. Let q(z) = 7*d(z) - 6*k(z). Give q(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010100111 (base 2) in base 11?\nAnswer: 9819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.072 - -16. Let o = -14.672 - l. Let q = -15.33 - o. Round q to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413121 (base 6) to base 15.\nAnswer: -9c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871883 is divided by 1090.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8313\/(-1224) - 442\/(-208).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14807747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1613, -1839, -2065, -2291, -2517, -2743?\nAnswer: -2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 370*m**3 + 38 + 12*m + m**4 - 376*m**3 - 37 to the form t + g*m**2 + x*m**4 + a*m + o*m**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -219\nAnswer: -5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210268544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011 (base 2) to base 11.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542822 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: What is next in -81, -163, -245, -327, -409?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/25)))\/(a\/((((a\/((a*a**(-29))\/a))\/a*a*a)\/a*a)\/a))*((a*a**(-20)\/a)\/a)**(2\/17) assuming a is positive.\nAnswer: a**(11241\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 153 = 129. Let k(f) = f**2 + 8*f + 8. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14863357 is divided by 2903?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1497342 and 51\/6482.\nAnswer: 1497342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) 2 (c) -41 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 15*j**2 + 14*j - 30. Let h be b(16). Let v = 27 - h. List the prime factors of v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101332436 by 1.\nAnswer: -101332436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(1053) + ((0 + sqrt(1053))*5 - sqrt(1053))**2 - sqrt(1053))).\nAnswer: -50535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 = -12. Let x(d) = d**2 - 6*d - 3. Let h be x(7). Factor l**3 + l**3 + 3*l**4 + l**h - n*l**4.\nAnswer: 2*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/7 + 1364*z**3\/7 - 29718*z**2\/7 - 135176*z\/7 - 140600\/7 = 0.\nAnswer: -703, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d - 70. Let v be f(9). Suppose 1 = 4*c - 7. Solve -v*k + 12 = c*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -41. Let a be (4\/(-3))\/((-12)\/h). Let i(w) = w**2 - 3*w - 8. Let p be i(a). Solve 0 = -m - p + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 959*g**3 + 2*g**2 - 7083 wrt g.\nAnswer: 2877*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 34 + 66 = 0. Let x be 3\/(7 - -2)*15. Suppose 4*m - i = -x*y - 0*m, 2*y + m - 13 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*s**3 - s**2 + 2357*s + 822462?\nAnswer: -33*s**2 - 2*s + 2357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 + 234.5. What is the biggest value in 0.1, p, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8*(2 + -2). Suppose -3*i + o*i + 84 = 0. What is the highest common factor of i and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + s + 4, 0*s + 4*s + 8 = 2*h. Solve -z + 3*z + 8 = 4*w, 16 = -w - h*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 456 = 17*d - 880, d = -4*x + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -10*d + 20. Suppose 2\/9*y**4 - 4\/9*y**2 + 2\/9*y + 2\/9 + 2\/9*y**d - 4\/9*y**3 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 319, 660, 1001, 1342?\n\"Answer: 341*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1426901368 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 41 + -62 - 7\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 137, -274\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Let f = -104\/3 - -514\/15. Sort 1, f, m.\nAnswer: f, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 360\/16)*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*a + 514 - 718 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -210*b - 1. Let u be p(5). Let v = 7369\/7 + u. Let 8\/7*l + v*l**2 - 16\/7 - 10\/7*l**3 + 2\/7*l**4 = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -37, 7\/12, 1\/4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62551 + -2154?\nAnswer: -65035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -4 (c) 1\/69 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*t - 26 + 461*t**2 + 138*t + 32 in the form q*t + u + b*t**2 and give b.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108, 195, 282, 369, 456?\n\"Answer: 87*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9238242 and -35\/561.\nAnswer: 101620662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/4, 1\/6, -3.5 in decreasing order.\nAnswer: 1\/6, -1\/4, -3.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86341*p**3 + 147307 wrt p.\nAnswer: -259023*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bci when three letters picked without replacement from iicvdicvieddiib.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-56)*7\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*s - s - 147, 2*f = 0. Suppose -5*m = 37 - s. Suppose 3*d - m = d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 643*l + 578. What are the prime factors of z(16)?\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 54.77. Let p = s + 2.83. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 2. Let f be n(-2). Let o be 306\/21 + -8*(-27)\/504. What is the greatest common factor of f and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqq when three letters picked without replacement from {q: 2, r: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-2 + 1*sqrt(2057)*-4).\nAnswer: -44*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51621 is divided by 57.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*h + 1 = -10 - 65 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6121*i + 457. Is h(-37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 12*p - 81. What are the prime factors of k(12)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 39*h**3 + h**2 - h + 1. What is the tens digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464750 times -182\nAnswer: -84584500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r, 4*a - 7*a - r = -11. Suppose -2*p = -5*y + 21, a*y - 9 = -0*p - p. Let n(u) = 4*u**3 - 3*u**y + u**2 - 4*u - 2*u**2 + 0*u**3. Give n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -13.45?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -357 + 9*x**2 - 908 + 273*x**2 + 13*x**2 - 34*x**2 with respect to x.\nAnswer: 522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxzoat. Give prob of picking 1 t and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218*-35103.\nAnswer: 7652454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.19 (b) 7 (c) 5264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113608 divided by 44.\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let z = 4 + -5. Let h(l) = l**2. Calculate z*y(b) - h(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 + 2475 = 24*o - 206. What is the remainder when 283 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrwwww. What is prob of picking 1 v and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 12*x**2 - 13*x + 37. Let t = -208 + 219. Calculate the remainder when p(t) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2818 or -2812?\nAnswer: -2818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -750.25492 - 0.77508. Let p = m - -6.03. Let o = 744.999371 + p. Round o to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = -3*q, q + 4*g = 3*q - 12. Suppose u + 1 - 22 = -3*w, 5*u - w - 57 = q. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(39\/(-910)). Suppose 3*g = 10 + j. List the prime factors of 51\/(-15) - -3 - (-81)\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/15 - (-28)\/3. Suppose f*q - 2*q = 357. What is the remainder when q is divided by 12 - ((-4)\/(-2))\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 57*u + 7 + 175 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/21)*k**9)**(1\/5))**13)**27 assuming k is positive.\nAnswer: k**(4446\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-6)\/(-9)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 80*s**3 - 183*s**2 + 119*s + 3. Determine a(2).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61\/795 - -3\/53. Determine r so that -2\/3*r**2 + j*r + 16\/15*r**3 - 8\/15*r**4 + 0 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 4*z + 32, 12*z - 9*z + 9 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9 + 7*p - 4*p - 4*p. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 divided by 7563.\nAnswer: 580\/7563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061093117 to six decimal places.\nAnswer: -0.000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 - 3*x**4\/4 + x**3\/6 - 7*x**2\/2 - 10*x. Let i be r(9). Which is the nearest to i? (a) 1 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let f = -290\/133 + 36\/19. Which is the closest to z? (a) -1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2. Let o be h(2). Solve 0 = -o*v - 4*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 495.2, -7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 137.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*i - 4*a, 93*i - 94*i = -15*a + 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 30 = 2*o. Suppose 2*t - n + 17 = -o*n, -n = t + 11. Let x = 23 + t. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-4\/3)))**38*t**27*t**(-1\/3))**(-2\/69) assuming t is positive.\nAnswer: t**(16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m + 4 = i, 4*m = -3*i - 20. Find the common denominator of (-724)\/24 - i\/6 and 61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/8, 0.09, 2\/17, -2\/7 in decreasing order.\nAnswer: 2\/17, 0.09, 0, -1\/8, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuxexxxx. What is prob of sequence euu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*600\/((-630)\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 4 + (-21 - -4) + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457386419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sstt when four letters picked without replacement from tststss.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*p - 71, -4*p = 2*u + 34 - 52. Solve 4*j - 4*y - 54 + 42 = 0, -5*j - 2*y = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 739812 - -32?\nAnswer: 739844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g + 176. Let x be t(-16). Suppose x = 2*o + z - 1335, -z - 2015 = -3*o - 0*z. What are the prime factors of o?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**3 - 7316213*w**2 - 2045098*w + 5 wrt w.\nAnswer: 6*w - 14632426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 6, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 18\/5, -0.06, -3\/7 in decreasing order.\nAnswer: 75, 18\/5, -0.06, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248296 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 72 in descending order.\nAnswer: 72, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247*d**2*v**3 + 11*d**2*v + d**2 - 2*d + 97 wrt v.\nAnswer: 741*d**2*v**2 + 11*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbadqam. What is prob of sequence qdta?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 25*s - 7575 = 24*s, 0 = 4*r + 3*s - 30294. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 18. Let y be (p\/(-10))\/((-1)\/(-5)). Let r be (-3)\/3 + -1 - -26. What is the highest common divisor of r and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l - 22. Let x be b(2). Suppose 0 = -17*a + x*a + 16650000. Round a to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-6 + 52\/(-21)))\/(-16 + 2324\/144).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/27)\/(2\/12). Suppose 0 = 5*t - u*i - 150 - 124, -2*t - 4*i + 104 = 0. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150103373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 170.33?\nAnswer: 167.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 1867992854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-4\/9)*g\/g**7 assuming g is positive.\nAnswer: g**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676061 times -115?\nAnswer: -77747015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 186.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 2*s**2 - 2*s - 2. Let k(w) = 9 + 7*w - 25*w**2 - 12 - 4*w**3 + 19*w**2 + 7 + 2. Determine -7*a(i) - 2*k(i).\nAnswer: i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5550)\/42 + (-1)\/(-7). Let b = 144 + p. What is the highest common factor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4153.6 and 0.4.\nAnswer: 1661.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/11 - 2\/33. Let m = -547.9 + 554.9. Which is the smallest value? (a) m (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352561374 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*l**2 - 43*l**2 + 3*l - 2*l**3 - 37*l**2 + 1 as h*l**3 + v*l + c + z*l**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 10\/(-3))\/2. Let f = 0.8106 - 0.8106. Sort h, 0.3, f, -0.1.\nAnswer: -0.1, f, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n = 45*n + 3. Let s be n\/(-4)*(20\/(-6))\/5. What is the second biggest value in -3\/2, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/336 and 73\/588.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 1.07, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(19) + 3)**2.\nAnswer: 8*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -14. Let d = 0 + -1. Let p be 1*(-1 - (-6 + 2)). What is the nearest to d in v, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a1 (base 12) in base 14?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 5) to base 11.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202088526?\nAnswer: 2, 3, 2879, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 1228.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.09\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31924?\nAnswer: 2, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8de08b + -14?\nAnswer: -8de0a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 51517*q + 103029. Give p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*b + 86, -3*o + 2*b + 48 = -196. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -45, -9, 63, 183, 363, 615, 951?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -73*l - 118. Calculate r(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3))\/sqrt(5))\/(-5*sqrt(4)*2).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 526066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/7 - 218378*z**3\/7 - 7863336*z**2\/7 - 13480992*z - 377481600\/7 = 0.\nAnswer: -12, 109225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -202121?\nAnswer: -202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Suppose 3*a - 1 = -d*i, a = 5*a - 4*i - 12. Find the second derivative of -5*j**2 + 0*j**2 - j - j**a wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 2730*x - 372645 = 0 for x.\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.103 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 159, 507, 1093, 1917, 2979, 4279?\n\"Answer: 119*k**2 - 9*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2058, -3969, -5880, -7791?\nAnswer: -9702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 bigger than 23153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145602 (base 8) to base 2.\nAnswer: -1100101110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*c**2 - 219*c**2 + 645*c**2 - 212*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 158 = -28*o + 166 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28625*q = 28600*q + 325. Solve -18*v = -q*v + x - 3, 3*v - x - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333\/4 - 83. Factor t*g**4 - 1\/4*g - 1\/4*g**2 + 1\/4*g**3 + 0.\nAnswer: g*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 6*h - h + 2*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 8. What is z(8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*j*k**2*x + 2*j*x**3 + 2*j - 31*k**2*x**3 - 2*k*x**2 + 2*x**3 - 8*x wrt k?\nAnswer: 116*j*x - 62*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 7*z**2 - 14*z + 9. Let g(n) = -n**2 - 3*n + 3. Let h(s) = 4*g(s) - v(s). Let q(l) = -3*l**3 + 7*l**2 + 5*l + 7. Give -5*h(w) + 2*q(w).\nAnswer: -w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**3)\/t)\/(t*t**(-2\/9)*t))**(6\/7)\/(((t\/t**(-2\/9))\/t)\/t*t**(-1\/16)*(t\/(t\/t**0*t))**15) assuming t is positive.\nAnswer: t**(11839\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/588 and -109\/252.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 1164 = 4*v + 9*t, -v + 4*t = -306. Let r = 573 - v. Does 41 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.599518l to millilitres.\nAnswer: 9599.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1703348570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0\/(-2))*2. Solve 0 = q - m + 5, v*q - 3*m = m - 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5\/3 - 940*f**4 - 170756*f**3 - 5364476*f**2\/3 - 3819776*f + 5779632 = 0.\nAnswer: -347, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 98*k**2 + 118*k - 204. What is the hundreds digit of z(97)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 - 0.08. Let f = 0.4 - x. Let m = -13 + 9. Which is the biggest value? (a) m (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p - 48 = 135*p + 22 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*z + 48, 6*z + 3*h - 63 = 3*z. Suppose 0 = -v + 4*i, -v + 6*v - z = 3*i. Suppose -v*y - 736 = -1772. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u + 48*u - 66*u + 73*u + 49*u.\nAnswer: 145*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 1. Let u be g(3). Let h be (-2 + u\/3)*84. What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1102120000?\nAnswer: -1102120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5123651, 10247297, 15370943, 20494589, 25618235, 30741881?\nAnswer: 35865527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/10285, -2\/9 in descending order.\nAnswer: 7, 2\/10285, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6 and -73\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1929 - 233. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -73.8, 8, -3\/19, 4, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 5 = 3*q. Solve f - 3*v + q*v = 5, 0 = -2*v + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108770 by 21754.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*z + 24, z - 4*u - 9 = -0*z. Let q = z - -3. Calculate the least common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2420903 is divided by 1938?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 1:48 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.4 less than 426259?\nAnswer: 426291.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018453015 rounded to 5 dps?\nAnswer: 0.01845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1986*x - 27781. What is z(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 + 34*x**2 - 32*x**2 - 2*x**3 - x + 0*x to the form m + d*x**3 + l*x**2 + c*x + z*x**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -2928, -4 in decreasing order.\nAnswer: 4, -4, -10, -2928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/725 and 111\/290.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 4*p. Let q(v) be the third derivative of 2*v**5\/5 + 2*v**2 - 327*v. What is n(q(r))?\nAnswer: -2880*r**4 - 96*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from nollllnolnnlllonnnl?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5305.052 to the nearest 10.\nAnswer: -5310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 0. Suppose -2 = 2*k - i. Sort 5, 4, k in decreasing order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 37635822?\nAnswer: 37635834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, -32, 48, -5, 6 in decreasing order.\nAnswer: 48, 6, 4, -5, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 157856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553518?\nAnswer: 2, 3, 7, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63037133377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9328.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6636 - -8946. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*i - 6700, 3*x - 21*i - 6728 = -19*i. Calculate the greatest common divisor of 105 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, -2752, 0.73?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1136837*y - 763 + 1136052*y - 96 wrt y.\nAnswer: -785","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 27*p + 69. Determine o(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100293 - 6568*a + 100296 - 200589 to q*a + n and give q.\nAnswer: -6568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209.98 - 210. Let s = 23\/3 - 89\/12. What is the nearest to s in 2, v, 4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/8 - 13*h**3\/6 + 6*h**2 + 5. Let s(x) be the second derivative of u(x). Let d be s(-8). Solve -d = 3*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 - 1. Let c be o(-2). Is 245\/4*(5 - (-2 + c)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-90))\/((-6)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 44*s**2 + 4*s + 3 - 1 - s + s**2. Is 22 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -685\/39 + 23372\/1287. Calculate the common denominator of -14\/99 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-8) + 171\/(-132) and 582\/(-8)*(-3 + 303\/99).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11343573 - 25?\nAnswer: -11343598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 12*b**2 + 35*b + 4. Let y be d(7). Solve -y = -4*x, -5*x + 25 - 5 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 44.619.\nAnswer: 4.01571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + sqrt(150)\/sqrt(3).\nAnswer: -2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 68*t + 525. Give r(12).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -98*l + 40. Let j be (4\/(-6))\/(4\/18). Is 32 a factor of f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3 - -a?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 4) to base 13.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + -1.1. Let v = 8.8 + -12. Let i = v - -3. Sort i, t, -1 in decreasing order.\nAnswer: i, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 229, -1.15, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:35 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - z + 5. Let f be y(6). Let x be 3\/(6*f\/(-4)). Solve 2*l - x = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -222, -332, -442, -552, -662?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3 - 0. Suppose -82*h = -37 + 365. Put 5, u, -14, h in increasing order.\nAnswer: -14, h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 9*t**2 + t - 6. Let r be y(9). Suppose -4*x = 3*g, r*x - 10 = x + g. Find l such that 0 + 1 - l + x*l + l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26052517\/797094 - 12\/14761. Let s = -15301\/189 - -568\/7. Let u = s + c. Calculate the common denominator of 31\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 3*a**3 + a**3)*(-7 + 7 - a**2)*(1 - 1 + 2) + 7*a**5 - 3*a**5 - 3*a**5.\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/33 + 84156\/44. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1211434 (base 6) in base 13?\nAnswer: -23104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(245) + 2 - (5 + (sqrt(245) - 1*sqrt(245))**2)) + 2*(sqrt(245) + 0 + -1).\nAnswer: -5 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1172 - 0.1172. Let x = 537\/5 + -107. Which is the third biggest value? (a) k (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2903*z + 2896*z + 54 = 0, -3*z + 46 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 0.4, 14651?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h - 5. Let k be 40\/(-6) - (-4)\/6. Let d be 2\/k + (-39)\/(-9). Is x(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2478 and 3068.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 267\/46 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 244913?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16469, 16420, 16297, 16064, 15685?\nAnswer: 15124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -469*u + 655?\nAnswer: -469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 3\/1328195?\nAnswer: 3\/1328195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-3*6\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*i - 4*w, -4*i - 7*w = -4*w - 45. Solve i*y + 44 = 116 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + 68. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1069, -45, 4.\nAnswer: -1069, -45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*14\/63)\/((-47)\/(-9) + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.6238 kilograms in tonnes?\nAnswer: 0.1306238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35237981 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -258, -262, -266, -270, -274?\n\"Answer: -4*b - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03407978 to 4 decimal places.\nAnswer: 0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/4050 and -187\/1500.\nAnswer: 40500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*n + 11*n + 0 - 2)*(137 - 44 + 24).\nAnswer: -1755*n - 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159248 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 12 = -4*t. Let x = 19 + -43. Let s be 1 - (-4)\/(x\/22). Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3525*l - 188. Let z(a) = 94*a - 5. Let r(u) = -5*i(u) + 188*z(u). Let q(s) = 2*s**2. Determine r(q(k)).\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 1 - (186 - 267)) + -31.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6 - -2) + (-1 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r + 70 = 0, 2*c + 2*r - 20 = -3*r. Calculate the remainder when 51 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -25*b. Let f(t) = t**2 + t + 1. Let n(s) = 10*s**2 + 12*s + 12. Let v be 90\/(-110) + 2\/(-11). Let z(d) = v*n(d) + 12*f(d). Give z(y(c)).\nAnswer: 1250*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24737042 and 4740032?\nAnswer: 791585344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.65 or -0.555?\nAnswer: -0.555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6625960 and 137\/2409440.\nAnswer: 26503840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Let p = -3 + s. Let b(k) = -k**2 - 4*k + 10. Let f be b(2). Put f, p, 0 in decreasing order.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22085376?\nAnswer: 2, 3, 149, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 436 + -113. Calculate the highest common divisor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 40.88\nAnswer: 245.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(130\/(-630))*(6\/(-42)*17 + 1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8193778015.59999833 - 8193778049. Let y = h + 33.4. Round y to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4322.41 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785944963.\nAnswer: 785944963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + 0.7. Which is the biggest value? (a) 0.4 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89873?\nAnswer: 7, 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - t**2 - 38*t. Suppose 3*n - 8*n = 6*n + 44. What is k(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 17. Let v be f(6). Let o be 9\/18*5*2. Solve o*p = -v - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264 + 66 - 79 - 5)*(-j - j + 0*j).\nAnswer: 564*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32524 + 32520. Let z(f) be the first derivative of f**5\/40 - f**3\/3 + 1. Let w(b) be the third derivative of z(b). What is w(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5903 + -4320. Calculate the remainder when p is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20776 is divided by 562.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*t = -60*t + 6351053. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2774, 2903, 3122, 3431, 3830?\nAnswer: 4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21413004 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -330. Let z = -0.3 - 0.2. Which is the nearest to z? (a) -1\/4 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101010101111111 (base 2) to base 10\nAnswer: 87423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = -17. Suppose c = 2*l - 3*t, t = -l - 4*t - 3. Factor -w + 43*w**2 - 3*w**4 + l*w**3 - 64*w**2 + 13*w**3 + 10*w.\nAnswer: -3*w*(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5\/9 - 9962*g**4\/9 + 170642*g**3\/3 - 6732166*g**2\/9 + 3278300*g\/9 + 12580000\/3 = 0.\nAnswer: -5032, -2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -52. Suppose -8*z = 19*z + 378. Let s = z - g. Solve 5*x = 3*k + 7, -x + 2*k + s = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + 4161\/133. Suppose b + 0*b - h = 0. Let m = b + -19. Solve -3*k + m = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - 16a9c4?\nAnswer: -16a98e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 38, -3, 5.\nAnswer: -3, 5, 38, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {x: 2, l: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)\/v**(3\/2))**(2\/93)\/(v**(-2\/15)\/(v*v\/v**(-4\/3)))**18 assuming v is positive.\nAnswer: v**(38663\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 20. What is the tens digit of q(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or -100?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46825 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 0.3. Let g = 0.29 - 0.39. Which is the closest to i? (a) g (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(204) + (sqrt(204) - sqrt(204)*2 - sqrt(204))*4 + (sqrt(204) + sqrt(204)*-2)*-5))\/(((2*sqrt(96) + sqrt(96))*5)\/(sqrt(72)\/(-2*sqrt(9)))))**2.\nAnswer: 68\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (56\/546)\/((-4)\/420).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-95)\/(-10) - (-1 + 1\/2). Let g = 12 - j. Suppose -10 = 2*n, 2*h + 2*h + g*n = 218. Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s + 23. Let v(u) = 6 - 3*u - 4 + 4 + 5. Let h(f) = -4*g(f) + 9*v(f). Let x be h(-5). Solve 3*l + 2*a = -x*l - 19, 4*l + 20 = -4*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 5.8. Let x = -1.9 + -0.1. Let y = -3 - x. Which is the third smallest value? (a) y (b) w (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c + 12. Let k be 7 - (-3 + 10)*(-4)\/(-7). Let m be w(k). Put -1, m, -12 in decreasing order.\nAnswer: -1, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -422289*a*s + 2*s - 42444 wrt a?\nAnswer: -422289*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 3*k - 3*b, -3*b - 23 = -17. What is the lowest common multiple of k and 966?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, k: 1, t: 1, f: 2, d: 1}. Give prob of sequence yfk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7828)\/2128 - (-30)\/280.\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*x**5 - 4)*(-272 - 15 - 119).\nAnswer: -812*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d - 119*d - 3 = -u, -5*u - 5*d - 25 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 88\/3*w**3 + 0*w - 90 + 0*w**2. Let y(g) = -g**2. Give y(d(h)).\nAnswer: -7744*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:25 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1222\/57 - 64\/3. Let s = -4 + 2. What is the closest to s in u, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 8357085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -55. Let k = -24 - m. Let u be (36\/(-34) - -1)*k. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1206564?\nAnswer: -1206565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1749 + 1582. Is -173 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4242, -4351, -4460?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16975815 + 101267.\nAnswer: 17077082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 322. What is the least common multiple of c(43) and 738?\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 184. Let b be w(-14). Let h = 126 + b. Calculate the remainder when 71 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 181 - 3826. What is the highest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*r**4 + 94*r**3 - 20*r**2 = 0. What is r?\nAnswer: 0, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -12*a - 1. Let g = 25 + -27. Sort a, g, 1\/2 in increasing order.\nAnswer: g, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 11 + 31)*(2*x + 2 - 2).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 104.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -124. Let b(f) = f + 1. Let y be b(2). Solve -3 = 3*m + y*g, t = -3*g + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - ((-3 - -15) + (41 - 62))) + 114.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 55078331\nAnswer: 2\/55078331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1674\/(-62)*28\/21.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, -0.14, 0.8 in decreasing order.\nAnswer: 4, 0.8, -0.14, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1230 by 2.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 - l**4\/12 - l**2 + 3*l. Let v be g(2). Suppose -q = -2*u + 5, -u - q + 2*q = -v. Solve u = -r - 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from {e: 4, o: 2, v: 2, m: 1, p: 1, n: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -216*x**2 + 9*x + 104. Let h be 5\/(-10)*3*6. Let y(g) = -54*g**2 + 2*g + 26. Let n(i) = h*y(i) + 2*w(i). What is the first derivative of n(p) wrt p?\nAnswer: 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2176590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*(-3 + -2). Let m(u) = -u**3 - 5*u**2 - 3*u - 6. Let s be m(r). Solve 2*a + a = s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, w: 1, b: 4, t: 6}. What is prob of picking 4 t?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1561544\/12)\/(56\/84) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) 3 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5 + (-24)\/(-6)). Suppose -3*l = t - 3*t + a, l = 4*t - 7. Sort -4, l, 5, 0 in descending order.\nAnswer: 5, l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303*d - 316*d + 65 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2 - 3*j - 20. Determine n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 325, 92, -173, -476?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - w = -3, -14*q + 15*q - 3 = -w. Solve q = -2*c + 186 - 174 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1952 and 121939?\nAnswer: 3902048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + a)*(a**2 - 5*a**2 + 5*a**2) + (a + a**2 - a)*(2*a - 2*a + 2*a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 - 3*z - 3. Let d be u(-6). Suppose d = 3*t + 2*t. Let l(w) = w**2 - 3*w + 2. What is l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1870 and 9\/116314.\nAnswer: 581570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.681 to 1 dp.\nAnswer: 24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2496 divided by -24\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:09 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2592 divide 158106816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 184*b - 11680. Determine t(-50).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -3*r, 7*r - w = 5*r + 7. Let l(s) = -2*s**2 - 2*s + 2. Determine l(r).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = k + 26, 4*j - 2*k - 38 = -0*k. Let n(u) = u - 5. What is the remainder when 2 is divided by n(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8549 - 0.1451. What is the fourth smallest value in -0.023, 0.4, -0.19, 4\/7, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 6097176.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827505 is divided by 196.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3242434 + 2?\nAnswer: 3242441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alalrhraliz. Give prob of picking 1 r and 1 i.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 2*u + c + 14, 26 = -3*u - 5*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 1. Let h(x) = -4*x**2 + 4*x + 7. Let k(v) = 3*v**2 - 4*v - 1. Let s be k(0). Let n be (-1 + 21)*(-78)\/(-260). Calculate n*t(q) + s*h(q).\nAnswer: -2*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + -93 + (3 + -2 - -3).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 471411.46 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11*g + 40 = 6*g, 0 = 2*c - 5*g - 30. Let o(j) = -j**3 + 8*j**2 + 19*j + 19. Give o(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -85 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -0*q + 4*q, -2*b - q + 6 = 0. What is the units digit of -3 + 1 - (-18)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 20, -13, -46, -79?\n\"Answer: -33*r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -681, -682, -683, -684, -685?\n\"Answer: -q - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*y**3 + 0*y + 0 + 8\/5*y**4 - 2\/5*y**2.\nAnswer: 2*y**2*(y - 1)*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -5, 0.0168, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from {o: 14, y: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-28)*(-4)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-858)\/44*((-114)\/(-18) - 7)*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 5, c: 7}. Give prob of sequence cr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -11*n + 486. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123683487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6752169492?\nAnswer: 2, 3, 4423, 127217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/((-81)\/594).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/7 (c) 69\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {r: 1, u: 1, n: 1, z: 1, i: 2, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-10) - (-20786)\/41040 and 47\/540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 78 = 66. Suppose o*x + 17058 = 4*s + 3*x, 3*x = s - 4259. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131869279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 - 2\/2). What is the derivative of 4*r - a + 5*r - 4*r - 3*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 373046?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -0.5, -0.128, 5, -4?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2*f**3 + 14*f**3 + 3 - 8*f**3.\nAnswer: 8*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-7) - 2720\/(-240).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -3*t + 4*a, -2*t - 4*a + 30 = 0. What is the least common multiple of t and 59?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n = -6428 + 2992 - 13547. Calculate the remainder when n is divided by 192.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2. Let q(y) = y - 270. Calculate -4*n(k) + q(k).\nAnswer: k - 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 9128.\nAnswer: 73024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.95 - -35. Let h = b + 0.39. Let c = h - 0.4191. Round c to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -4, 1, 5, 226 in increasing order.\nAnswer: -6, -4, 0, 1, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 15*g**2 - 14*g - 5. Let o be 2224\/(-24)*(-3 - 0). Let r = 292 - o. What is p(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00121655165 to six decimal places.\nAnswer: 0.001217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 2*i + 135879 + 110471 = 0. What are the prime factors of i?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*f - 9, 11*m - 9*m - 3*f + 73 = 2*m + 70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17934 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1181*a + 2 + 10*a**2 - 10*a**2 - 77416*a**3 - 8*a**5 + 77453*a**3 wrt a?\nAnswer: -160*a**3 + 222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aay when three letters picked without replacement from {r: 4, a: 2, f: 9, y: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8 + 3*z**2 + z**2 + 5*z + z**2 - 2 - 6*z**2. Give k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -26*o**2 + 340*o - 23. Let k be v(13). Solve -5*r = -z - 4, 5*r - k = -9*z + 11*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k**2 - 7*k + 2. Let d(m) = m**2 - m. Give 5*d(y) - h(y).\nAnswer: 38*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + k**4 + 4 - 875*k**5 - 10 - 8*k - 1060*k**5 wrt k.\nAnswer: -38700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27347, -54609, -81871, -109133, -136395, -163657?\n\"Answer: -27262*y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 14*d + 1750. What is the third derivative of -d*u**2 - 37*u**4 - 474*u**5 - 466*u**5 + 16*u**2 + 941*u**5 wrt u?\nAnswer: 60*u**2 - 888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 + a + 3. Suppose 7*c - 4*c - 9 = 0. Determine h(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 192*s**2. Let h(g) = -g**2. Determine x(h(o)).\nAnswer: 192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2002086 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-784*p**2 + 651*p**2 - 767*p**2 - 2306*p**2)*(-1 - 1 + 0)*(2 - 1 + 0) to the form d*p + k*p**2 + y and give k.\nAnswer: 6412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1\/16 (c) 1 (d) 6.6841 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334, -1044, -3422?\nAnswer: -5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*l - 5*q - 7556, 2*q - 7521 = l. Let f = -52046\/7 - l. Let k = f - 96. Is 1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 246 = 3*f, 9 = -3*b + f + 245. Suppose -1 = x, 4*n + 138 + 12 = 2*x. Let r = n + b. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26012387 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s - 1. Let d(t) = -t**3 - 7*t**2 - 3*t. Let l be d(-3). Let o be 114\/l - (-2)\/9. List the prime factors of w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from jjteeccjjeejeecjjc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*d + 2. Suppose -2*p - d = -29. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let j = -21 - -31. Let u = j - 9.8. What is the second smallest value in a, u, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3198 + 14277. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 - -5 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -3*z. Let h(k) = -2*k + 2. Let i be h(5). Calculate the smallest common multiple of 2 and (2\/(-3))\/(i\/z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -25. Let z(s) = 3*s**2 + 7*s - 4. Let m be z(-3). Let d(j) = 23*j**2 + 19*j**m + 10*j**2 - 16*j + 2*j - j**3 - 38*j**2 + 16. What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2500 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.62 - -0.44. Let o = 0.06 - m. What is the closest to 0 in o, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times -6?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 4 = -35*w + 5*n, 2*n + 2 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546 and 1158?\nAnswer: 105378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14235, -28828, -43469, -58182, -72991?\nAnswer: -87920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175042, -350086, -525130, -700174, -875218?\n\"Answer: -175044*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 21?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/11 - 30548*a**2\/11 - 116555840*a\/11 + 700435200\/11 = 0. Calculate a.\nAnswer: -7640, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 16 - 6 - 2*l. Let k be x(7). What is the derivative of k*f - 2*f + 3*f - 3 - 1 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 28. Is (-5)\/(10\/t)*1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*7.\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 5*t**2 + 3*t - 3. Let g be a(-5). Let y(h) = h + 1. Let p(s) = -18 - 30*s - 7*s + 28*s - 49*s + 31*s. Give g*y(q) - p(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -39 - -1*(2 - 3). Let s = l - -46. Let x(u) = -s + 9 + 4*u + 6*u**2 - u**2 - u**3. Calculate x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 147, 271, 445, 669?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/207?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3326*b**2 - 6613*b**2 + 3288*b**2. Let c(a) be the first derivative of 0*a + 2 + 9\/2*a**2. Calculate c(l(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 83\/27 - ((-12)\/(-234) + (-104)\/(-4563)). Let f be (-2)\/(2 + 7\/(-3)). Sort -1, -4, f, n in descending order.\nAnswer: f, n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -183.9\nAnswer: 735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1414, 1\/4, 1.5 in descending order.\nAnswer: 1.5, 1\/4, 0.2, -1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 1 = 27. Suppose -i*n - n = -5*w + 55, -5*n = w + 31. Find the common denominator of 17\/15 and (-4 - -8 - 52)\/n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, -2\/7, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-6)\/(-2) + 1. Suppose -j + 14 = -o*b, 4*j - 56 = 6*b - b. Find the first derivative of -j - 10 + 15*l**2 - 14 + 13 wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -5*b - 319 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -10, 13, 54, 119, 214, 345, 518?\n\"Answer: v**3 + 4*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 84) + (-1 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -185.\nAnswer: 7\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/25)\/(m\/(m*m**10)))\/(m*(m\/m**(-1\/6))\/m)**(-6\/13) assuming m is positive.\nAnswer: m**(3399\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 - 48 - 4)*(-1 + 4 - 2 + (0 + 0 + 1)*(2 - 2 + 2))*(8*a**4 - 10*a**3 + 10*a**3).\nAnswer: -4704*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19798875.\nAnswer: 3, 5, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c + 2. Let x(a) = -a. Calculate v(t) + 6*x(t).\nAnswer: t**2 - 11*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**3 - 7*d**2. Let r(o) = 41*o**3 - 36*o**2. Let s(i) = 11*q(i) - 2*r(i). What is the third derivative of s(h) wrt h?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -2*z + 5*l, -4*z + z + 725 = l. Suppose 9*m - 4*m = z. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23433301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -16. Suppose -4*o + 37 = p*y - 51, -4*o = -5*y + 146. Suppose s - 9 = -5*m - 3, -s + 5*m = -y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 13. Let b(m) = m**3 + 4*m**2 - 2*m - 6. What are the prime factors of b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 1\/4 (c) -0.05 (d) -0.11 (e) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/3)*w)\/w)\/w*w)\/w)**22*(w*w**0)\/w*w**5*w assuming w is positive.\nAnswer: w**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 2 = -2*o, 4*a = -o - 1. Suppose a = -3*u + 4*h + 47, 25 = 8*u - 3*u + 4*h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 0.3, 1\/28, -7?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221312?\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592713 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288.999839 - 289. What is u rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25672? (a) 0.1 (b) 2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005063 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/27, -56102?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(1 - (-60)\/(-35)). What is the highest common factor of 91 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 + 98 - (-3 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23154528 and 5568?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*(-4*sqrt(5) + -1) + sqrt(10)\/(sqrt(22)\/(-3*sqrt(11)) + sqrt(2)))*-6)**2.\nAnswer: 1836*sqrt(5) + 117081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 3607*y**2 - 549656*y - 1084860.\nAnswer: (y + 2)*(y + 135)*(3*y - 4018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/3 - (-89376)\/(-3360)) + 1518\/(-1070).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/27*(-2)\/5. Let i = 178 - 180. Which is the closest to m? (a) -5 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-6))\/((-118)\/(-468) + (-400)\/1300)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1797000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -137160*l - 274049. Calculate y(-2).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 1. Suppose 4*m - 2*m - 14 = 0. Let u = m - 6. Which is the second biggest value? (a) u (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 757106483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.01 + -0.01. Let v = -10.09 + 11.8. Let y = 3.29 + v. What is the smallest value in y, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*q - 26. Let v(m) = -16*m - 13. Let j be v(-1). Let u be 1 + -2 + (-32)\/(-2). Solve 0 = 5*r + u, q + j = -4*f - 4*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/4))**(2\/67)\/(j**(-3\/2)\/j)**(2\/25) assuming j is positive.\nAnswer: j**(149\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38915 + 19449 + 4*f + 2*f**2 + 19466.\nAnswer: 2*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10922 and 52\/3175.\nAnswer: 273050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**7\/2520 + b**6\/144 - b**5\/30 + 3*b**2. Let x(c) be the third derivative of h(c). What is the derivative of x(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 117*h**2 + 537*h + 102. Determine q(-4).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130\/50629 or 1?\nAnswer: -130\/50629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13354\/7 + 1759. Let j = x - -149. Find l such that j*l**2 + 2\/7*l - 2\/7*l**3 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 15. Suppose t*k - 13 = 14. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.861788423 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 41*d - 13. Suppose 4 + 16 = 4*z. Does 32 divide j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*i - 533*i + 4*a = -7358824, -2*a + 5519088 = -3*i. What is i rounded to the nearest ten thousand?\nAnswer: -1840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymz when three letters picked without replacement from kmokxyzkyyxmxyk.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*c = 15, -6*c + 4*c - 35 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.539 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*h - 13. Which is the closest to 1\/3? (a) -5 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105341499 is divided by 1100?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/3 - 7*l**2\/2 + 7*l + 1. Suppose -s - 7 = -4*w + 18, 2*s + 25 = 3*w. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3476 and 30430642.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*h + 24*h + 19*h + 25*h + 65*h + 16*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -5 (c) 5 (d) 236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/24 and -41\/1537956?\nAnswer: 3075912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (-121 - (43 + -304))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 5. Let t be l(6). Suppose -13*g + 9*g + 5*a = -199, -234 = -4*g - 2*a. Suppose g = t*r + r. Solve u - 9 = r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31489, -31476, -31463, -31450?\n\"Answer: 13*n - 31502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 688 + 673 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/12*9*(-23)\/(1311\/(-38))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 174 = 4*g - 39, 320 = 5*w - 5*g. Let s = 129 - w. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342222422 (base 6) to base 7\nAnswer: -104204513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let p(l) = 2*l - 2. Suppose 0 = 4*y - x - 11, 3*y - 5 = y + x. Let h be p(y). Let w(d) = 0*d + h*d - d. Calculate s(w(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(432)*-2 - sqrt(432)) + -2 + sqrt(3) + 3*sqrt(147) + sqrt(33)\/sqrt(275))**2.\nAnswer: 2196*sqrt(3)\/5 + 904303\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9614\/(-1518))\/(((-1)\/(-15))\/((-3)\/3)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from pfhrhrpofprprrpp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 + -2 + 784\/(-42). What is the units digit of (0 - -3)*(2 + 12\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 2. Let u(s) = -6*s - 2. Let z(d) = 5*q(d) + 6*u(d). Let y be z(-5). Suppose 5*o + v + 0*v - 30 = 0, -o = 2*v + y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -413051?\nAnswer: -413051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/9 - 22\/45. Let f = 0.28 - -3.12. Let u = f - 3. Put g, u, 2 in decreasing order.\nAnswer: 2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 57*q - 61*q + 40, q = -3*k + 10 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 6*a - 5. Let z be s(4). Suppose 0 = -4*d + 4, 4*l - z*d + 8 = d. Let q be l\/(-3) + 1536\/9. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, f: 1, m: 1, g: 1, d: 2}. Give prob of picking 1 k and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 141 and 1044 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 9 + 9 + (5*v - 3*v - v)*(-1 + 2 - 3) - v - v + v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26851 (base 11) in base 3?\nAnswer: -1221112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 4 = 14*a. Let t(k) = -2*k + 2. Let l(w) = 0*w - w - 9*w + 11. Calculate a*l(o) - 11*t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94037 is divided by 73?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/23 (b) -1\/2 (c) 0.3 (d) -2\/7 (e) 9\/5 (f) -7 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times 27022195?\nAnswer: 7025770.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - ((0 - 2) + -25) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 828 or 2\/5?\nAnswer: 828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 361090491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8413995 by 5.\nAnswer: 1682799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123050a (base 13) in base 4?\nAnswer: 111210311331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b - 1. Let j be v(-3). Let a = j + 25. Let x = 5 - 3. Solve x*p = -p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -2\/5 (c) 2.486 (d) -4 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 71.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -7090\nAnswer: 1\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -142 (b) -3 (c) 191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w - 2 - 4 = 0, 4*w = h - 18. Let n be -1 + (-5)\/(5\/(-2)). Suppose h*k - n = 7. Solve -15 = k*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2429832150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-30) + 159\/30. Which is the second smallest value? (a) 1427 (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 - 26*k = 0. Calculate k.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h. Let b be (1 - 4)*(-1 - h). Let l be 0\/((-4)\/(1 + -5)). Sort b, 2, l in decreasing order.\nAnswer: b, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*y**3 - 342*y**3 - 9625 - y + 9632 + 39*y**3 to c*y + k*y**2 + v + h*y**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 - 2*h**2 - h**2 + (-2*h**2 - 4*h**2 + 4*h**2)*(1 - 3 - 3) + h**2 - 1 + h**2 + 0 as k + w*h**2 + n*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 826207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2*b + b)*(193*b - 43*b + 473*b) to w + k*b**2 + d*b and give k.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + m**2 + 3. Let i be x(0). Suppose -3*f + 21768 = i*f. Suppose 5*t = t + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 + 9*1. Let d be (-270)\/12*(-8)\/q. Let u be 50\/(-156) + 3\/d. Is -1\/4 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -188c8 - b?\nAnswer: -18906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.02, 3, 3\/8, 363, -2\/9 in increasing order.\nAnswer: -3, -2\/9, 0.02, 3\/8, 3, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 21*x**2 + x - 6. Let a be n(-6). Suppose a - 2094 = -10*i. What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + l = -4*l - 30, 2*u + 4*l = -26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v. Suppose v = -4*i - 13 - 7. Let z(h) = -15 + h**2 + 9 + 2*h + 3*h. What is z(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101659 and 14681?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83912?\nAnswer: 2, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.185 and -0.0599.\nAnswer: 0.0110815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -6)\/(4\/190). Let m be 8 + (-9 - (-21)\/(-7)). Let q = k - m. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-39)\/(-10)*10\/(-12))\/(-1)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435645 is divided by 945.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9 - (-5674 - 3) - 7) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 31*n**2\/3 - 10*n.\nAnswer: -n*(n - 30)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 - -934. Let v = o - 494. Suppose 0 = 3*y + 88 - v. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*d + o, -2*o + o + 3 = -4*d. Are 4\/19 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)**(-26)*(((i*i**0)\/i)\/i)**22 assuming i is positive.\nAnswer: i**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1900.11 to 0 decimal places.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 2*n + 2. Let i(l) = 7*l**2 - 8*l + 9. Let a(u) = 29*u**2 - 33*u + 38. Let s(d) = 2*a(d) - 9*i(d). Calculate 3*s(r) + 8*v(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -191410 - 1914. Let l(i) = -3*i + 11372 - w. Let m(v) = 10*v. Determine m(l(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 - 2*p - 4. Let h be k(-6). Let u = h - -240. Calculate the highest common divisor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590 - 641. Sort -2\/9, -1\/2, 0.2, b.\nAnswer: b, -1\/2, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - j = y + 11, 4*y = -j + 49. Is 90\/(-4)*y\/(-18) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343baa2 (base 12) in base 15?\nAnswer: d339a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 33*u + 12*u - 277 = -u + 3*t, 5*u + 2*t + 33 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2\/3*u**3 - 1\/14*u**7 + 0*u**5 + 0*u**2 + 0 + 0*u**6 - 4*u + 0*u**4. What is the second derivative of l(x) wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 395, 403, 417, 437, 463?\n\"Answer: 3*w**2 - w + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 34\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28457512553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose q*h + 20 = -3*h. Let r be 3 + 2 + (0 - h). Solve r*z - 15 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -7\/12*g**4 - 5\/6*g**3 + 0*g - 1\/120*g**6 + 18*g**2 - 2 - 2\/15*g**5. Calculate r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355388435*c**4 - 243836318*c**2?\nAnswer: 8529322440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9661454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.3 (b) 0.4 (c) -0.525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8 + 12 - (0 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.14 - 5.5. Let l = 40.989 + 0.011. Let a = g - l. What is a rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 3*l - 1 - 1. Let g(v) = 3*v + 39 + 32 + 2*v**2 - 74 - 3*v**2. Suppose -f + 0 = 3. Give f*i(u) + 2*g(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let l(k) = -2*k + 4. Let m(w) = 4*l(w) - 11*y(w). What is the first derivative of m(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**4 - 21*a**3 + 5*a**2 - 108*a - 13 wrt a?\nAnswer: 120*a**2 - 126*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46156019806 and 0.\nAnswer: 46156019806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2376*o**2 - 32*o + 32. Let y(b) = 216*b**2 - 3*b + 3. Calculate -3*l(s) + 32*y(s).\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -56. Solve 31 = l*v - 5*s, 0 = v + 4*v - 5*s - 40 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10299 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Suppose u = j, 2*j + 39 = 4*h - j. Suppose -3*a = a - h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 4*t**2 + 0*t**2. Let l(z) be the first derivative of 2*z + 4. Let j(w) = -w**2 + 5. Let c(p) = 2*j(p) - 5*l(p). Give c(n(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (19 - (-17 + 9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*q**3 - 2*q - 43*q**3 + 87*q**3 + 7 as y + r*q + s*q**3 + v*q**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623627?\nAnswer: 3, 89, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*t - 10, 10 = t - 5*w + 35 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 2. Let b(m) = -5*m + 51. Let n(u) = b(u) + 3*k(u). Is 3 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 10:06 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33808 from -29826.08.\nAnswer: -63634.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(5) + 0)*2)**2 - sqrt(5)) + -2 - (-1*sqrt(125) + -5)*-2.\nAnswer: -11*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145\/(-195) + -15 + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f. Let z(s) = -5*s**2 + 1 - 3 + 3 - 21*s**2. Give y(z(l)).\nAnswer: 78*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 13*p**2 - 4*p + 11. What is f(-11)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9548)\/(-231) - (-1 + 35))*15\/2\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*b = -2895, 3*o = -2*b - 188 + 8823. Calculate the greatest common factor of o and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 38*j - 1148. Determine s(58).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -465?\nAnswer: -116.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 376191*t**2*v + 114614*t**2 wrt v?\nAnswer: 376191*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 17. Solve -d - a = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96236, -96240, -96244?\n\"Answer: -4*f - 96232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101278 not equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13641369 divided by 4.\nAnswer: 13641369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/1802027 and 56\/207.\nAnswer: 16218243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**3*r + 1573*b**3*v - 14*b**2*r*v + 2*b**2*r + 611*b*r*v wrt b.\nAnswer: -36*r + 9438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2*-2)\/(4\/((-4)\/13))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75f + 23?\nAnswer: -73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 3*k - 2. Let u be t(-3). Let v be ((-10)\/u)\/(3\/(-15)). Let j = -3 + 7. Solve 2*a - j*a = 4*g + 18, 5*a = -v*g - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*c**2 - 532*c + 269*c + 263*c - 13*c**2 to w*c**2 + b + m*c and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/12 + 121*s**3\/3 - 1235*s**2\/2 - 1146*s + 1. Differentiate g(o) wrt o.\nAnswer: -2*o + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 127. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/(p\/p**4))\/p)\/p)\/p)\/p**(3\/4))\/(p\/(p**(7\/4)\/p)*p*p\/(p**7\/p)))\/((p**(-1\/3))**(14\/9)\/(p**(2\/3)\/(p\/(p**(-6\/7)*p)*p))) assuming p is positive.\nAnswer: p**(629\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8944992*z**2 + 1785080 wrt z.\nAnswer: -17889984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/12)\/((-7)\/280)*(-31986)\/8885.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/15)\/w)\/w*w**1)\/((w**(2\/7)*w*w)\/w)**(-3\/19)*((w*w*w**(2\/3))\/w)**(-4\/5)*(w**(1\/4))**(9\/4) assuming w is positive.\nAnswer: w**(-54301\/31920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*s - 172 + 172 + (2 + 0 - 4)*(3*s - s - 3*s) - s + 3*s + 0*s + 3*s + 4*s - 5*s.\nAnswer: 81*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*45\/6. Suppose b + s*n + 22 = 0, -2*b + 0*b + 31 = -5*n. Let x be 2 - (9\/b + 0). Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-18)*(-77)\/(-924) - (11\/(-44) + 0)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1045\/326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (sqrt(931) + 5 + 0 - sqrt(931) - (sqrt(931) + (1*sqrt(931)*-6 - sqrt(931) - sqrt(931))))**2.\nAnswer: 490*sqrt(19) + 45653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 46, -2, -7 in decreasing order.\nAnswer: 46, 10, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.94949 and -3.\nAnswer: 8.84847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 9*h + 18*h = 346332. What are the prime factors of h?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327678 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 470, 482, 500, 524, 554, 590, 632?\n\"Answer: 3*m**2 + 3*m + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s)\/(s\/s**(5\/3)))**43\/((s*s*s*((s**3\/s)\/s*s)\/s)\/((s\/s**(2\/15))\/s*s)*(s*s\/(s**1\/s))\/s*s\/(s\/s**0*s)*s) assuming s is positive.\nAnswer: s**(-4147\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.10931 + 3.10931. Which is the third biggest value? (a) 2\/1061 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g. Let n(z) = 18*z**2 - 9*z**2 + 3*z**2. Calculate n(o(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 344724, 689448, 1034172, 1378896, 1723620, 2068344?\n\"Answer: 344724*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -470226 by -1.\nAnswer: 470226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i*i**(-3\/10)*i*i)\/(((i\/(i\/(((i**1\/i*i)\/i)\/i)*i))\/i)\/i**(2\/5)) assuming i is positive.\nAnswer: i**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084531 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 5841 + 36765 = 0. What are the prime factors of b?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + k - 3)*(-6*k + k + 4*k) + 0*k**2 + k**2 - 2*k**2 + (6*k - 3*k - k)*(-4*k + 4 - 4))*(-1 + 0 - 7) to c*k**2 + o + m*k and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*70\/(-735))\/(2\/9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 19.8.\nAnswer: 17.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 5) + 12 + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*l + 3 = 13*d, -9 = -3*l. Which is greater: -11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*4*6 - (sqrt(60)\/sqrt(3))\/sqrt(4))**2.\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**5 + 752*p**4 + 1910*p**3 - 6320*p**2 - 16056*p - 4032 = 0 for p.\nAnswer: -3, -2, -2\/7, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*a*x**3 - 629*a*x**2 - 376423*a*x wrt x?\nAnswer: -1512*a*x - 1258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Suppose z + w = -9 + 92, -3*z - 5*w = -243. Suppose 5*u + z = 96. Let s(v) = -3*v**u + 8*v - 10*v + 2*v. Give q(s(n)).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 150\/(-35) + (-1440)\/(-42). Suppose j*m + 560 = 41*m. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 2\/13 (c) 0.3 (d) 0 (e) 14927\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 568285048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 42 = -14. What is the hundreds digit of (j\/(-6))\/(30\/18090)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*f + 4, 5*v + 3 = 3*v - 5*f. Let w = 0 + v. Let u = w + -1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 800, 58 in ascending order.\nAnswer: -3, 58, 800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32319719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 25*a + 71. Let y be t(22). Suppose 11*r - 7*r - 38 = 2*j, -3*j + 31 = y*r. Solve 11*v = r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-28 + -25 - -19)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 16*k - 3. List the prime factors of b(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -207 + 189. Let z = 22 - 20. Sort k, z, -0.09.\nAnswer: k, -0.09, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26 + 26)*((-6)\/(-4) + -2). Sort -6, j, -27 in ascending order.\nAnswer: -27, -6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 766 + 10347. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/5271410 and -61\/174550.\nAnswer: 26357050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(36)\/(sqrt(12) - 3*sqrt(12))) + (sqrt(330)\/sqrt(10) + sqrt(33))\/sqrt(11) + (sqrt(336)*-1)\/(1*sqrt(1008)))**2.\nAnswer: 361\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477 - 1913\/4. Let w = 1.7 - 1.7. Sort 3, m, w.\nAnswer: m, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -100. Suppose s*g = -18*g. Solve g = 3*f - 5*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*v + 30. Suppose 5*s = 5*r + 2*s + v, 0 = -2*s + 10. Is 8 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 11*d - 6. Let o be z(11). Let a be (18\/(-3 - o))\/2. Suppose 5 = -k, 3*q + 2*q = -a*k. What is the second smallest value in q, 5, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39261515, 39261530, 39261549, 39261572, 39261599?\n\"Answer: 2*b**2 + 9*b + 39261504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*h + 16, 0 = 4*j - 0*j + 3*h + 30. Let a = j - -8. Suppose a*m - 7*m = -50. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-7))\/1 - (4 + -2). Which is the biggest value? (a) g (b) -1\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:35 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-795)\/29150)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 - 261. Calculate the remainder when 1312 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - w - 10 = 21*z, 3*z = w - 10. Sort 2, z, 28.\nAnswer: z, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.04. Let h = -7440 + 7443. Suppose -3*v = -2*r + v, 10 = 5*r - 5*v. Which is the third smallest value? (a) r (b) f (c) 2\/19 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 5. Determine l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 975\/(-795)*6\/(-25). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-1430)*182*-2*5\/(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29004.83nm to millimeters.\nAnswer: 0.02900483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30423 is divided by 3802.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 444*s**2 + 162924*s - 8793. What is t(-367)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92\/45 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 38c7 (base 16) to base 15\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*f = 33, 3*y - f - 284 = -274 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1827 and 1635?\nAnswer: 995715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - m**2 - 7 - 2 - 2*m. Let v be 298\/(-68) + (-9)\/6 - (-30)\/(-255). Is 37 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 45*z**2 - 24*z + 41. Give c(23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236292 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 1302.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 6*m + 6*m to v*m + i and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1531 - 1530.7. Let a = -0.112 - -25.612. Let x = n + a. What is x rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhhmhhhhhmhmhhhhmm. What is prob of picking 1 m and 1 h?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 4, d: 6, r: 2}. Give prob of sequence rw.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 3987*b - 3987*b + 8.\nAnswer: -b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5334 and 762?\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 335 + 123 = -4*z, -5*z = -555*m + 554*m - 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15235607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n*(((n\/(n**(-7)\/n))\/n)\/n)\/n)\/(n**(-1)*n)**9 assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/(-24))\/(3 - 284\/96). Find the first derivative of 2 + 21 + b*f**2 + 30*f**2 - 128*f**2 wrt f.\nAnswer: -88*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118110813 divided by -3.\nAnswer: -39370271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by -138210.\nAnswer: 319\/138210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noon when four letters picked without replacement from {n: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66300*u = -66233*u + 1005 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 16*h - 9. Let y be m(-12). Let r = 2 - 3. What is the remainder when 31 is divided by (r\/(-3))\/(7\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/541 + -21143\/5951. Let a = 383\/77 + i. Factor -16\/7*q**2 + 2\/7*q + 4\/7 + a*q**3.\nAnswer: 2*(q - 1)**2*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 226.\nAnswer: 57630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 - 2*f - 11. Let z be r(-8). Suppose 1 + z = -h. Calculate the remainder when 33 is divided by h\/8*96\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2 - 5 - i**2 + 5*i**2 + 7*i. Let v(r) be the second derivative of 17*r - 3*r**2 + 0 + 1\/4*r**4 + r**3. Give -6*h(g) + 7*v(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1568) + (sqrt(1568) + -1 - sqrt(1568)) + -1 + -4 + sqrt(1568)*-1 + -3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*t = 5, 17 = -5*j - 4*t + 3*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 11. Let a be t(9). Let r = 2.14 + -2.44. Let x = -4 - -3.9. What is the nearest to x in a, r, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179841\/194 - -927. Let i = 47\/97 - o. Let 1\/2*l**3 + 0 + l**2 + i*l = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2 - 2016948*b + 366474932?\nAnswer: 6*b - 2016948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188958089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p**2 + 254*p - 1280. Give u(5).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 45. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/85? (a) 12 (b) -1\/5 (c) 1 (d) 0.2 (e) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + (sqrt(1053) - (sqrt(1053)*2 - sqrt(1053))))**2 + 0 + (4*1*sqrt(1053) - (3*sqrt(1053)*-4)**2).\nAnswer: -151623 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 0 - 6\/3. Solve -k*w + 2 = -2*h - 2, 0 = 5*w + 2*h - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 71 = -430 - 18 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5066 + -5061. Let p(v) be the first derivative of 0*v**3 + 2 + 0*v**4 - 7*v**2 + 0*v + 4\/5*v**d. What is the second derivative of p(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -81. Suppose 0 = 2*p - 2*q + 10, 0 = -5*q + 6 + 4. Sort 2, g, p in descending order.\nAnswer: 2, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 257427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98158 and 20.\nAnswer: 981580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 + 13) - (36 - 9)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1001112210220?\nAnswer: 1001112210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (5 + -2 + -8 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 35. Let o be (1 + z)\/(-2 + 0) + 52. Suppose -305 = -5*t - 3*q + 34, t = 5*q + o. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6*k + 10*k + 427, 149 = l + 2*k. Let j = -137 + l. Calculate the lowest common multiple of 4 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*n + 566*n - 9613 - 1190*n + 9612.\nAnswer: -62*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.14, -5, -4 in decreasing order.\nAnswer: 0.14, 0.09, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxklalahchl. What is prob of sequence khx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 3)*315\/378?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 450 = 3*u. Find the common denominator of -59\/16 and 1\/(-3) + 87\/u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = 4*p - 27, -4*c = p - 16. Suppose -q + 4*t + 32 = p, -2*t = q - 0*t - 56. Calculate the remainder when q is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Suppose 0*s + g = 2*s. Suppose -4*u - 16 = 0, -s*u - 56 = -b - 3*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11714 + 64116. What are the prime factors of q?\nAnswer: 2, 5, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:42 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 225383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 101535.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 x, and 1 e when four letters picked without replacement from fvvvfvevvxexveve?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Suppose 5*z - 10 = -3*q, 2*q - b*z - 5 = 10. Suppose g + 0*k - 2*k = -7, -2*g - 3*k = -21. Solve 3*t - 4*r + 4 + 19 = 0, -q*t + 10 = g*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(19) - sqrt(76)) + 5*sqrt(304))**2.\nAnswer: 38*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 - 23 = 0. Let p(q) = q - 1. Let w(u) = -u**2 - 12*u + 14. Let f(g) = -6*p(g) - w(g). What is the units digit of f(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56484?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 + 39*j + 4. Let p be x(-14). Let r be (8 + p\/(-54))*42\/(-3). Factor 14\/9*t - 1\/9*t**4 - r*t**3 + 49\/9 - 16\/3*t**2.\nAnswer: -(t - 1)*(t + 1)*(t + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 2*r**5 - 2*r**5 + (104015520 - 104015520 + 2256*r)*(-r**4 + 0*r + 0*r).\nAnswer: -2257*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/59175 (b) -16 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535460 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*r + 5 - 25. Solve -t = -c - 2, -75*t + 71*t + r = 2*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -69, 0, 4, 1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-23)\/(-69))\/((-2)\/(-12)). Calculate the remainder when 3 is divided by (0 - 2)\/((-4)\/r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + f + 38. Let r be z(17). Let m be r\/16 + (6\/4 - 0). Calculate the greatest common factor of 92 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*k + 18, -539936*k - 3*z = -539937*k - 5 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3575561 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 30*d - 98 + 36. Solve -5*g - d*s + 3*s + 20 = 0, 12 = 3*g - 4*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3988 less than -3975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1312993?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-36 - -42 - (0 + (5 - 1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 16372*k - 16370.\nAnswer: -2*(k - 8185)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 12 = -5*k + b, -3*k - 3*b - 3 = 0. Solve 0 = 4*v - 5*o + 10, o - k = 7*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 16*a**2 - 36*a + 6. Let t be s(-18). Find the third derivative of 25*l**5 + 46*l**2 + 0*l**6 - 46*l**5 + 25*l**5 - 2*l**t wrt l.\nAnswer: -240*l**3 + 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t - t. Suppose 2*y = -4*i, 2*y - t*y - 3*i + 1 = 0. Let a = 3 - y. Solve -3 = -h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/44)\/5 - (-7574808)\/66*1. Round x to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 3 + 1*(sqrt(117)*2)\/sqrt(9) + 2).\nAnswer: -6*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*b - 50. Let d = b + 2. Let m(s) = 11*s**2 + 5*s - 4. Let l(q) = 0*q + 0 - 4*q + 2 - 5*q**2 + 2*q. What is d*l(g) + 4*m(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.32616389 rounded to 2 decimal places?\nAnswer: -16.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 10*r + 10*r + (-1 + 1 - r)*(-1 - 18 + 2) in the form j*r + h and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:00 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2)\/(-1035))*21778\/196002.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4100*w**2. Let o(r) = 16851*r**2. Determine k(o(y)).\nAnswer: 1164220424100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -9625.732\nAnswer: -9625.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813*v = -728*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 18. Let n be v(-8). Let j(l) = -n*l**2 - 11*l**2 - 8*l**2 + 22*l**2. Let q(z) = 2*z. Give q(j(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -20. Let a = p - 10. Solve 2*o - a = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssysoossoysoyos.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470\/2350 + 208\/(-190) + 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**7\/2520 - g**6\/180 - 3*g**5\/20 - g**3\/3 - 26*g**2. Let x(k) be the third derivative of n(k). What is x(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 261*p**2 + 11*p - 24. Let l be c(-11). Solve -31464*y - 15 + 4*y**3 + l*y - 9 = 0 for y.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282157.\nAnswer: 282157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*3*sqrt(228))\/(sqrt(108)*1 + sqrt(12) - (2*sqrt(432) + sqrt(432) - sqrt(12)))*2.\nAnswer: 12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -16*o - 15. Let b be (0\/(-4) - o)\/(2\/4). Suppose -s + 2*y = 18090, b*y - 11954 = 4*s + 60436. Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -26*b**3 - 33*b**2 - 30*b + 25. Let j(o) = -6*o**3 - 7*o**2 - 7*o + 6. Let k(g) = -9*j(g) + 2*s(g). Calculate k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*n - 7, 9 + 4 = 2*n - 3*p. Let k(r) = -63*r + 1. Let h be k(n). Let b = -31 + h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192792133.\nAnswer: 101, 281, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5a0 (base 12) to base 2\nAnswer: 1101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000034224495 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/33 - 3\/11. Let q be 17\/7 - ((-7)\/(-1) + -5). Which is the closest to p? (a) -0.1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 + 22*w**2 - 5*w - 13. Let g(d) = -d**3 - 7*d**2 + 2*d + 4. Let j(a) = 11*g(a) + 4*m(a). Is 29 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0544 (b) 4 (c) 7 (d) -3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/12 - (-2)\/6. Let m be (n*-8)\/((-9)\/(-12750)). What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/6)\/((-5)\/60))\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.56 (b) -5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 4, q: 6, e: 1}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let h = -1 - r. Let q = 79.5 - 80. Which is the biggest value? (a) h (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8404.\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3*(-5)\/(((-459)\/18)\/51).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 2. Let u(r) = -r**3 - 40*r**2 - 74*r + 78. Let y be u(-38). Factor -1 - 1\/2*q**3 - 5\/2*q - y*q**s.\nAnswer: -(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(9\/(-6))\/(42\/(-1862)*7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = 3443 + 4432. Solve 35*i = 10*i + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 8646?\nAnswer: 8646.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - o + 57 = 0, 0 = 4*m - 2*m + 2*o - 34. Let b = -12 + m. Calculate the least common multiple of b and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 87 = -2*f, -5*f + 0*f = -5*b - 255. Let k = f + -52. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31496 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 9. Let f(r) = -7*r - 17. Let p(q) = 6*f(q) - 11*o(q). Let k be ((-5)\/(-2))\/((-2)\/12). Let x be k\/(-1)*1\/3. What is p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 34. Let z be w(-36). Find the second derivative of -312*o**z + 629*o**2 + 33*o - 317*o**2 + 12*o + 225*o**4 wrt o.\nAnswer: 2700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 46 = -l + 41, -l = -3*w - 15. Let z(k) be the third derivative of -7\/240*k**5 + 0 - 1\/480*k**6 - 5\/32*k**4 + 0*k - 3\/8*k**3 - l*k**2. Factor z(m).\nAnswer: -(m + 1)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4633 - -65392.\nAnswer: 60759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) 1 (b) 4\/3 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557670 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 19*m**3 - 4*m**2 + 5. Let l(r) = 29*r**3 - 6*r**2 + 8. Give 5*l(s) - 8*y(s).\nAnswer: -7*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(2\/8). Let u be (-4)\/(-3)*(-6)\/20. Let k = -108.5 - -107.5. What is the third smallest value in u, h, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*i + 58 = 0, -c + 2*i - 3*i + 10 = 0. Let h = -16 + c. What is the remainder when 7 is divided by h*(0 - 12\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, 3, 0.\nAnswer: -7, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 9, 26, 43?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/29 in -3\/7, -0.1, 1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -603*i**3 - 17*i - 96296 wrt i?\nAnswer: -1809*i**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*18\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 365*v**2 + 371*v + 2524. Determine i(-364).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 750*w**2 + 13935*w + 43420.\nAnswer: -5*(w - 167)*(w + 4)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -26, -28, -30, -32, -34?\n\"Answer: -2*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 482132*o\/5 + 482134\/5.\nAnswer: -2*(o - 241067)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -16*g + 103. Let o be 433\/4 - (-1)\/(-4). Let i = o + -36. Calculate the highest common divisor of g and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6281 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64081 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(2 + -7 + 3). Let z be 10\/4 + 4\/v. Let h(u) = -2*u - 7. Let r be h(z). Which is smaller: r or -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4155 + 1843. Let z = g - -4866. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 74. Let h = i + -8. Which is smaller: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 443890.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75468 * 0.2053.\nAnswer: 15493.5804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693)*2 + sqrt(693))\/sqrt(11)*-4*-6)\/(sqrt(99)\/(sqrt(11)*-1) + sqrt(1296)*-3).\nAnswer: -72*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -13. Let z = 13 - 9. What is the remainder when k is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**5 + 12*q**4 + 25098*q**2 + 240*q + 44942.\nAnswer: 120*q**3 + 144*q**2 + 50196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(26\/20)*126\/(-36).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l + 96. Let v = 836 - 831. Solve -v*d - 2 = -4*k - l, -d - 7 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1304 and 1793?\nAnswer: 14344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, -2, 1106 in descending order.\nAnswer: 1106, 0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9875\/4 + 2457. Let g = -12 - k. Let h = -0.03 - -2.03. Which is the smallest value? (a) h (b) -7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 - 0.7. Let z = 2.9 + n. Let a be (4 - (-36)\/(-8))*3. What is the smallest value in a, 2\/5, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-4) - (-4 - (-2 - 5)). What is the third smallest value in -1, 17, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 46*q**2 + 1209*q + 2249. Calculate h(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.459 - 4.\nAnswer: 5.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 13*j**2 - 10*j - 14. Suppose 0 = 3*h + 4*r - 16, 0 = -89*h + 92*h - 2*r - 46. Calculate y(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196044 and 15300.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17692*i**6 + i**3 - 31382*i**2 wrt i?\nAnswer: 2123040*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121\/12 + 41\/4. Let s be (-22)\/(-8) - (11 - 10 - -1). Which is the closest to s? (a) d (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 672082, 672067, 672020, 671923, 671758, 671507, 671152, 670675?\n\"Answer: -3*d**3 + 2*d**2 + 672083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 5 in ascending order.\nAnswer: -5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 915322.8m in kilometers?\nAnswer: 915.3228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3803577743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldliiqamdqld. What is prob of picking 1 m, 1 i, and 2 q?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 180929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 478695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8040*j + 2 + 5311*j.\nAnswer: 13351*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 4}. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**3\/3 + o**2\/2 - 2*o. Let c be w(1). Let -6*m + 8\/3*m**c + 2*m**2 + 4\/3 = 0. Calculate m.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:05 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -1081*j**5\/60 + j**4\/12 + 2111*j**3\/6 + 2194*j**2. Differentiate p(y) wrt y.\nAnswer: -2162*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*v - 112, 9*y - 10*y + 72 = 4*v. Calculate the remainder when 2181 is divided by y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i + 53*i + 15*i - 300 = 0. Let j(d) = 5*d**2 - 5*d - 1. Let p(r) = 11*r**2 - 11*r - 2. Determine i*p(h) - 7*j(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3584 (base 9) to base 3.\nAnswer: -10122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 421, 1705, 4285, 8593?\nAnswer: 15061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 102. Calculate the greatest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -4)*1 + -2. Suppose -l*h + h + 4*s = 2, -3*h + s = -5. Solve d + 5 = 0, -t - h*d + 0 = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -196, -293, -382, -463, -536?\n\"Answer: 4*u**2 - 109*u - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + r = -20 + 19, 2*r - 4 = -4*a. Let x(j) = 52*j**2 - 2. Determine x(a).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 74\/29?\nAnswer: 74\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 17\/6, -4, -5, 3\/2?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 5 + (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 302.091 and -0.06?\nAnswer: -18.12546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -47002353.\nAnswer: -282014118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 22. Suppose 115*n + 110*n - 36 = 221*n. Suppose -n = -5*j + f. Calculate the smallest common multiple of 3 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = -10*i + 1740. Suppose -2240 = i*v - 88*v. Calculate the greatest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3736)\/(-20) + 1 + -1. Let l = 14889\/80 - a. What is the common denominator of -11\/12 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.39, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -457 (c) 0.5 (d) 1 (e) -0.4 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 173.02 and 12.\nAnswer: 2076.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -226, -627, -1706, -3799, -7242, -12371, -19522?\n\"Answer: -56*w**3 - 3*w**2 - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292*f**2 - 440*f wrt f?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1719 + 1145. Let q = r + 1006. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1\/6*b**2 + 1\/6 + 0*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-124 + 359 + 31)*(-b**5 + 0*b**5 - b**5).\nAnswer: -532*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1217304 and 15271632.\nAnswer: 167987952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.901121 years to decades.\nAnswer: 0.9901121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -0.3. Let p = -0.233 + -2.767. What is the nearest to 0.1 in p, v, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 13 = 35 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and ((-2)\/(-4))\/(20\/1080).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22989.5 to the nearest 100.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 + 1064. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3399, 6795, 10171, 13527?\nAnswer: 16863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 5. Let u(s) = -s + 5. Let p(a) = 2*h(a) - 3*u(a). Calculate p(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 4*t**2 - 3*t - 16. Give n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6047 divided by 2504\nAnswer: 6047\/2504","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i + 1 - 3 + 36*i)*((3*i - i - i)*(-3 + 1 + 0) + 1 - i - 1 - 2*i + 3*i - 7*i + (-3*i + 6*i - 2*i)*(0 + 0 + 1) + 0*i + 2*i - i).\nAnswer: -63*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (930\/1550)\/(6*(-1)\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -22*k**7\/105 + 11*k**4\/12 + k**3\/6 + 37*k**2. Find the second derivative of q(u) wrt u.\nAnswer: -528*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300 + 437. Let n = x - 77. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.093 - 0.767. Let g = 0.68 - n. What is g rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 16, -2, -0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 14*b - 16. Let n be d(10). Suppose 31 = n*q - 23*q. Calculate the remainder when q is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1149, -2255, -3361, -4467, -5573, -6679?\n\"Answer: -1106*x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 39 (b) -2 (c) 0.213 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-30))\/(25\/3)*1. What is the closest to 0.1 in w, 3, 1\/24?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*b = -25, r - 64 = 5*b - 87 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8153 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 - a**5\/12 + a**4\/8 + a**3\/2 - 135*a**2. What is v(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (12 - (-11 + 23) - 7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = 2*r + 5, r + 2 = -3*t. Suppose t = 3*l - 71 - 19. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1729 + 0.1706456. Round g to five decimal places.\nAnswer: -0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -105, -11, 0.3, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5, 4*j + 3*w + w - 252 = 0. Let a be -2 - (j\/112 - 2). Let u = a - 1\/7. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 36*v. Solve -3*p + 12 - 3 = v, -5*s - 4*p = -27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 4*j - 9. Let p(z) = 11*z**2 - 13*z + 27. Let y(w) = 8*m(w) + 3*p(w). Suppose 1 + 11 = 2*n. What is the remainder when 7 is divided by y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -12 - -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1365)\/(-115) + 14\/((-322)\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z - 21. Let x(t) = -t + 1. Let l(u) = i(u) + 21*x(u). Let d(v) be the second derivative of -2*v**4\/3 + 20*v + 3. Determine d(l(y)).\nAnswer: -392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let c(y) = 3*y**2. Let g(x) = 7*a(x) + 5*c(x). Let r be 2\/(-11) + 92\/22. Let s(n) = n + n + r*n. What is s(g(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*j*m*o**2 + j*o**2 - 227*j + 2*m*o**2 wrt m.\nAnswer: -13*j*o**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5 - 113. Let r = p + -2. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - sqrt(114)*-1)*6)\/sqrt(6).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -5)\/(2\/10). Suppose 0 = y*j - 8 - 7. Let z(p) = -2*p**2 + 2*p - 2. Calculate z(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 12\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose 0 = -3*p + 2*w - 15, -u*p + w + 3*w = 27. Let s = 5 + p. Solve 4 = g - 2*d + 9, 0 = s*d - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107010000 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 271441 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 82 - 370*o)*(o**2 + 0*o**2 + 0*o**2)*(-12 + 8 + 1).\nAnswer: 1110*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*i + 46 = 10*i, 0 = -4*y - 4*i + 104. Let m be -2 + 48\/y - (-164)\/14. Solve -m = 3*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 220, 436, 652, 868, 1084?\n\"Answer: 216*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o**3 - 4*o**2 - 3*o + 4. Let z(k) = -19*k**3 + 5*k**2 + 4*k - 5. Let u(b) = -5*t(b) - 4*z(b). Find the second derivative of u(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*b**2 + 128*b**2 - 2 + 128*b**2 - 21*b**4 to q*b**3 + a + g*b**4 + d*b**2 + u*b and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7584 is divided by 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 4:59 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:38 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 5*n - 99. Let w be m(8). Solve 2*r - 11 = -q, -18 - 7 = -w*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 461109771*x + 445611294 wrt x?\nAnswer: 461109771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -98, 1, -1, -3, 5, 1617 in decreasing order.\nAnswer: 1617, 5, 1, -1, -3, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -308*p**5 - p**4\/4 + 846*p**2 - 2*p + 9278. What is the second derivative of w(o) wrt o?\nAnswer: -18480*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10*p + 25. Suppose 0 = -5*g - p*a + 520, 4*a + 440 = 2*g + 2*g. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384697.\nAnswer: 384697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -721, -1083, -1445, -1807?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7134279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 1. Let x(y) = y**2 + y - 1. Let v be (-4)\/((-12)\/(-105)) + -2. Let l = 41 + v. Suppose 7 = l*k - 5. Determine k*x(s) - q(s).\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*w**3 - 28*w**3 + 25*w**3)*(-2*w - 3*w + 4*w)*(0*w - 2*w + w).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + 13*c**2 - 3*c**2 to r*c**2 + w*c + u and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3208801 + 1678801. What is c rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53155, -106347, -159539, -212731?\n\"Answer: -53192*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.1 - 8.1. Let i = -0.12 - 2.38. Let a = u - i. Sort 2\/17, 1, a.\nAnswer: 2\/17, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1, -3\/11225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -111 in 0, 2\/89, -0.2, 4\/5, 1.15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 109.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5 + 80. Suppose 3 = i - 1. Let s be i\/(-2)*15\/(-6). Solve -s*j + 0 = 4*y + v, -3*y - 7 = -2*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 7080990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 0.062?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccctdddcytyypccc. What is prob of picking 2 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3067 - -3122. Calculate the highest common factor of 3685 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 5*l**2 - l - 1. Let c be x(-2). Solve t + 3*j = 5*t + 23, c*j - 21 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 1. Let d be h(2). Let t = -11\/3 + 4. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -76244140\/3?\nAnswer: -76244140\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 70. Suppose 2*q + 16*a - 13*a - 399 = 0, -10 = 2*a. Calculate the greatest common factor of f and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102045 (base 7) in base 6?\nAnswer: -2521451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3762902 micrograms to milligrams.\nAnswer: 0.0003762902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*i = -45050, 7*j - 3*i = 33039 + 124559. Is 90 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56284 divided by -10.\nAnswer: -28142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + 17630\/(-1118) + (6 - 1). Factor 12\/13*h**2 + r - 2\/13*h**3 - 24\/13*h.\nAnswer: -2*(h - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*g - 10. Find the first derivative of -17 + 12*v**g + 10*v**3 - 9*v**3 wrt v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265e (base 15) to base 14.\nAnswer: 2dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231569 by 240.\nAnswer: 231569\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 15)*(-323)\/(-228)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 6272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-90))\/((-52)\/(-195)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 41, 0.4, 0.2038, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000059956 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -13.5?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 226 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*j + 132*j - 800*j**3 + 2395*j**3 - 796*j**3 - 805*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 98 = 2*u - 112, 28 = 3*m + 5*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6488773*u**2 - 3616007 wrt u.\nAnswer: 12977546*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*z - 2 + 7 - 5 + z**2.\nAnswer: z**2 + 1458*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4537 + 4531 - 5*m + 4532 - 22750 + 4614 + 4536.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 36154881794.\nAnswer: 36154881794.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6649231*j + 3112904 with respect to j.\nAnswer: 6649231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y - 15 = 0, -y = -k + 10. Suppose 5*l = k*j - 5, -l - j = -4*j + 3. Suppose l = 17*t - 14*t - 423. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 137, 16, 4\/3, 4, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 45*b - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/90)\/((-2)\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 553 and 147730079.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2. Let k be i(2). Let w(t) = 583*t + 2 + t**3 - 3*t**2 - 593*t + 2*t**2. Let r be w(k). Solve -2*z + c - r = 0, 3*z + c + 0 + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/5)*t))\/t)**(-4\/19)*(t\/(t**(-8\/7)\/t))\/(t\/(t*t\/(t\/t**(-8)*t))) assuming t is positive.\nAnswer: t**(-3699\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 6*l)*(-1 - 3*l**2 + 1) - 4*l**3 + 3 - 3 as s*l**2 + n + a*l + j*l**3 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9533290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/3))\/(q\/q**(2\/11)))**(-21)*(q\/(q\/(q*q\/q**0)))**27*(q\/q**(-2\/17)*q)\/q**3 assuming q is positive.\nAnswer: q**(14455\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2201264 (base 8) to base 14\nAnswer: 1152ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 99*y + 11. Let x(l) = 2*l**2 + 49*l + 5. What is 4*n(u) - 9*x(u)?\nAnswer: -2*u**2 - 45*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -87, -1, 0.3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206513 and 2.\nAnswer: 413026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 422526503 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19004?\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3486 and 19\/60?\nAnswer: 34860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77993\/84 + -6430\/7. Let o = -40739\/6 - -6765. Find the common denominator of y and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -38 - (4 - 138)*(-2)\/4?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 3. Let o be (-2)\/v*(-3)\/2. What is the second derivative of 2*b + b**2 - b**2 + b**o wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -6 (b) -0.3 (c) 13 (d) -0.13 (e) -10 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*r**3 + 1 + (-6 - 4 + 3)*(-8*r**3 + 58 - 58).\nAnswer: 58*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 150*o - 6647 = -248*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011222 (base 3) to base 9.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -377, -1000, -1883, -2900, -3925, -4832?\n\"Answer: 21*f**3 - 256*f**2 - 2*f - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 + 2*y. Let q be c(-1). Let w = 20 + q. Suppose -4*j = w - 6. Put j, 1, 0 in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 170*r - 1582. Determine f(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckhkcxxhykycyfk. Give prob of picking 2 c and 1 k.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2694 + 4412 = 34*k. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1726630*x**2 + 1798523 with respect to x.\nAnswer: 3453260*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/(-3) + 4\/6. Let i(p) = p**3 + 9*p**2 - p - 13. Let g be i(w). Let m(t) = 3 + 4*t + t**2 + 2*t - 3*t. Calculate m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1555629930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81449940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -353 divided by 24\nAnswer: -353\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114573 (base 8) to base 9.\nAnswer: 58806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, 5, 2547\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4481, -4464, -4445, -4424, -4401?\nAnswer: -4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49396, 197540, 444450, 790126?\nAnswer: 1234568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210475*n**3 - 408*n**2 + 408*n**2.\nAnswer: 210475*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 8, 2*g - 777 = -5*i. Let b = 306 - i. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v - 375 = 0. Suppose 13*d = 18*d - v. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2441.8 + 2479.8. What is the nearest to 1 in -5\/4, k, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -85. Suppose 5*l = 2*r + 24, -l + n*r + 6 = 3*r. Suppose -l*s = 2*o - 0*o - 5348, -3*o = s - 1327. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let x(s) be the second derivative of s**5\/20 + s**2\/2 + s. Let j be (-3 + 1)*(-2)\/(-4). Let z be x(j). Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(833) + 0)*3 - (3 + sqrt(833)*1) - (sqrt(833) + sqrt(833) + -1 - sqrt(833))*3*-1)*-6)**2.\nAnswer: -15120*sqrt(17) + 750996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214733*h**2*t + 2*h**2 + 398*h + 22867*t wrt h.\nAnswer: -429466*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12423 + -13?\nAnswer: 12410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**5\/30 + y**4\/8 + 11*y**3\/9 - 2*y**2 + 165. Determine g so that c(g) = 0.\nAnswer: -4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28632 less than 6704088?\nAnswer: 6732720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5019 + 4749 - 10072)*(1 + 5*g**2 + 1 - 2*g**2).\nAnswer: -912*g**2 - 608","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2846288 and -13\/6.\nAnswer: 8538864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*z**3 + 287*z + 712*z**3 + 129*z - 160*z wrt z.\nAnswer: 5064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 270\nAnswer: 1\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Let p(j) = -j**2 + 2*j + 9*j - 6*j + d*j**2. Determine p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31680191579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 4*k**2 + 3*k - 2. Let x be v(2). Let o be (-55)\/(-22)*x\/10. Solve -d = -0 + o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, 3, -2\/7, 0.5, 12\/7, 1\/5, -3\/118?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4 - 4 - 5*x. Let z(v) be the second derivative of -v**5\/60 + 17*v**3\/6 + 26*v. Let s(c) be the second derivative of z(c). Determine w(s(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (62 + -56 - (-1 - -21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*p - 318*p + 625*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -4*d**4 + 5*d**3\/3 - 5*d**2\/2 + 329. Let u(k) = k**2 - k. Give 5*u(s) - y(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*y + 19 - 133, 3*m + 18980 = -23*y + 19224 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Suppose 0 = -f*g - v - 15, v + 12 = -g - 2*v. Let d(c) = -3*c**3 - 4*c**2 - 3*c + 1. What is the units digit of d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5808 - 2*m**2 + m - m + 5808.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyuq. Give prob of sequence uy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z - 9. Let r(h) = -1. Let g(a) = 3*a + 6. Let p(w) = g(w) + 2*r(w). What is p(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 + n**4\/4 + 5*n**3\/6 - 2*n**2 - 1243. Give g(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 10*m + 4. Let s be w(-10). Suppose s*x + 99 = 307. Suppose -2*b + 60 = x. Solve -4*q = k - 10, -b*q + 9 = -k - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433669012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -2. Let y = 47 - 46.94. Let j = 57\/11 + -318\/55. What is the biggest value in y, j, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:45 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545131 - 73355 = -33*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-6) - 61\/(-2) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 45. Suppose z = -3, 0 = -3*a + 2*z + 127 - 13. Calculate the greatest common factor of q and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y + 7. Let f(t) = 5*t + 2. Let c(i) = -2*b(i) + 7*f(i). Let m(a) = -16*a - 7. Let z(j) = -5*j - 2. Let w(d) = 2*m(d) - 7*z(d). What is w(c(q))?\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 540294.6 weeks in milliseconds?\nAnswer: 326770174080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3489*y - 788070. Give b(226).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*j + a, 68*j - 33 = 72*j - 2*a - 3*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 38, 64, 96, 134, 178, 228?\n\"Answer: 3*k**2 + 11*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 32*x**3\/3 + 11*x**2.\nAnswer: -x**2*(x - 33)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 + 21*v**4 - 222*v**3 - 2256*v**2 - 5856*v - 3840 = 0.\nAnswer: -8, -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -568, -1054, -1720, -2656, -3952, -5698?\n\"Answer: -15*p**3 - 381*p - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 7, x: 7}. Give prob of sequence zz.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -399\/136 - -52\/17. Put b, 0.6, -0.2 in ascending order.\nAnswer: -0.2, b, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14 + 14 + 5*s**2 + 13*s**4 wrt s.\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 0. Suppose -b*c - 2*c + 116 = 0. Let m = c + -15. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/((-1134)\/9))\/((-2)\/133))\/(4\/(-16)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-6\/11)))\/h)\/h*((h\/(h*h**(3\/4)))\/h)\/h*(h**(-1\/5)*h)\/(((h**(-8)\/h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(1451\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -168*d + 1259. Determine p(10).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff5afe + 1?\nAnswer: -ff5afd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4162*r + 45778. Give c(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026318 to 7 decimal places.\nAnswer: -0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26185.5 - -26186. What is the third smallest value in 0.1, -9\/2, -1\/12, 2\/3, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6017 is divided by 111.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208207997\/150150 + -1\/50050. Are -1387 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*y - 10, 3*z + 42*y = 37*y + 52. What is the remainder when 24 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 0*n**2 + 7*n**2. Let y be p(1). Solve -2*j + f + 20 = 2*j, -y*j - 4*f = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = 0. Let x be 3 + 2 + 0 + -3. Is c + (x - (-8)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -11. Let d be -2 + 0 - (-5)\/1. Solve 0 = -y*g + d*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 247\/5708 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2 and 97\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -60016*m - 120026. Calculate l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2861 divided by -48.\nAnswer: 2861\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1120)\/(-182) + (-2)\/13. Solve 2*o + w = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*1 - sqrt(91))\/((sqrt(1008) - -3*sqrt(1008)) + sqrt(1008)).\nAnswer: sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and 0.84953?\nAnswer: 41.62697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - n**2 + 0*n**2 + (-3*n - n + 5*n)*(n + n + n) + 330*n**2 - 509*n**2 - 434*n**2 - 385*n**2.\nAnswer: -993*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21931*g**5 - g**4 - 5*g**2 - 4184 wrt g?\nAnswer: 1315860*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8255 - -31103. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30757*w + 30531. What is g(-1)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*f - 9 = -2*s, 7*f + 51 = s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -673.48 - -674. Let l = 2.52 - v. Which is the second biggest value? (a) -0.5 (b) -1 (c) l (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 2, h: 2, v: 1, r: 10, c: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1937 + 16. Suppose 5*a - 10*a - v = -s, -v + 389 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 4 - 4)*-33. Let m be 530*(c\/(-6)*-2)\/2. Suppose 2*h = -3*h + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 6*p**3\/5 - 106*p**2\/5 - 30*p - 38\/5 = 0.\nAnswer: -1, -1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10597884 from 4.037.\nAnswer: -10597879.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmhhhmmmmmmmhmmh. Give prob of sequence hmh.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2778 - 922 = 740*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 + 145. Solve -3*r + k = 0, 5*r + 2 + 8 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11*(-214)\/5885*(-5)\/(-8). Let l = -0.2 + -0.2. Which is the fourth biggest value? (a) 0.4 (b) 2 (c) l (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 - -5.11. Let u = 2 - 0. Suppose 2*g - z - 2 + 1 = 0, u*z = 3*g. Which is the smallest value? (a) -0.1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/5 (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*z**5 + 24*z**5 + 57*z**5 + (3*z**3 - 3*z**3 - z**3)*(-z**2 - 5*z**2 - 3*z**2).\nAnswer: 78*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 1827?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 186\/4*24\/36. Let p = i - 8. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -64, -138, -242, -376?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1620)\/150)\/(76\/(-20) + 4). Which is smaller: l or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from zckctmhkz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -1, 0.3, -5, 390 in increasing order.\nAnswer: -5, -1, 0.3, 2.3, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 8. Let w be q(11). Suppose 0 = -3*j - w*k - 6, 4*k - 3*k + 2 = 2*j. Solve j = 2*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvlyyqyytlqtyty. What is prob of picking 1 t, 1 v, and 2 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -9. Let y(o) = 2*o**3 + o**2 - 2. Calculate the least common multiple of y(2) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7 - y - 7 + 2*y - 5*y. Let w be g(-11). What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(605) + 0 + -2)**2 - sqrt(605)*-1*4*-2).\nAnswer: -176*sqrt(5) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a213b9 (base 13) in base 16?\nAnswer: -3991ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14447 + -14443. Let a be 2 + 2*(-1)\/2. Let x be 3 + a\/(-1)*1. Solve -i*c + x*l - 1 = -l, -c = -l - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11571, -17672, -23781, -29898?\nAnswer: -36023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110.851 + 0.149. Let s = g + -114. Which is the second smallest value? (a) 2\/9 (b) 2 (c) -2\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -51, -81, -113?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g + 219. Let j be u(-14). Let x(p) = p**2 - 9*p + 48. Calculate the remainder when x(j) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*s + 102, -11*s - 5*j = -6*s - 170. What is the remainder when 64 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76049 < -75939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xximxix. Give prob of sequence im.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2847 divided by -73\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 - 259.9429. Let u = -48.8429 - h. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 6306940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41481608 and 5680?\nAnswer: 414816080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4657514835 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {y: 2, k: 2, j: 3, w: 6, b: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40bc54 + 5?\nAnswer: 40bc59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456099 is divided by 3865?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 657018893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 192 = -39*s. Let z = s - -660. Suppose -4*n - 4*t + z = 0, -n + 5*t + 177 = -0*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/((-6)\/(-2)) + -3. Let z(n) = -5*n + d*n + 4*n**2. Let j(b) = -b**2. Calculate j(z(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144275 is divided by 1324?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*u + 4, 8 = -3*m + u - 6*u. Suppose 2*t + 2*t = -g, -3*t - m*g = 0. Which is smaller: t or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924829 to the power of 1\/2, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 w, and 1 c when four letters picked without replacement from cwcwcyvyycvycyywq?\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**7\/168 + v**5\/60 + v**4\/24 - 2*v**3 - 5. Let q(t) be the third derivative of k(t). Determine q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:47 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/5*18\/(-12)*335.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 + 31 - 6*z**2 - 23 - 163*z**2 - 8.\nAnswer: -11*z**3 - 169*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.043 + 0.543. Let f be -4 + 1 + 1 + -1. Which is the nearest to -18? (a) n (b) f (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 2 + -4 - ((sqrt(132) + sqrt(132)*2)*-2)\/sqrt(12).\nAnswer: -2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9376*v**3 + 18*v**4 - 54*v**4 + 21*v**4 - 5*v**5 + 40*v**2 - 9346*v**3 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 2*x + 7*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/467 - 525\/934. Let u = -2.87 + -0.13. Which is the closest to 2\/5? (a) 0.3 (b) u (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 17*n + 3*n**3 - 11*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/(g*g\/(g*g\/(g*g**(-15)*g)*g)) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 3*x + 4. Let s be l(-3). Let z = -49 + s. Let k be (0 - (4 + -3)) + (2 - 2). Put 3, z, k in decreasing order.\nAnswer: 3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geeegzgg. What is prob of picking 2 e and 1 z?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10682 is divided by 5288.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Calculate the smallest common multiple of f(-15) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1213 and 0.05.\nAnswer: -60.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -128 + 107 + (0 - -13) + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 15 - 66*h + 108*h - 13*h - 8*h - 15*h.\nAnswer: 2*h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1652\/4771 + -20562351\/1035307. Let n = l - -141\/7. Let g(r) = -r**2 + 5*r - 3. Let a be g(4). Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + s = 2*s - 24, -25 = -3*h + 4*s. Let m = -12 - -7. Let p(i) = i**2 - 6*i. Let r be p(m). Calculate the greatest common divisor of h and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8820.0914 + 719\nAnswer: 9539.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234 + 138. Let m be 1\/3 + v\/(-9). Suppose 0 = -4*u + m + 17. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 2\/5, 4\/5 in decreasing order.\nAnswer: 4\/5, 2\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 3*z**2)*(-2*z + 0*z + 0*z) - z**3 + 31*z + 0*z**3 + 2*z.\nAnswer: -5*z**3 + 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19941946 to the nearest integer?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.660354407 to 4 decimal places.\nAnswer: 17.6604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.231 - 0.4?\nAnswer: -7.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -28?\nAnswer: 27.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -635?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -210 (b) 0 (c) 0.14 (d) -2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 - 392. Let g(h) = -h + 22. Let y be g(9). Calculate the highest common factor of y and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*v**2 + 210*v**2 + 165*v**2 in the form j + l*v + k*v**2 and give k.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -38 + -36 + 40 - -101?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6868)\/(-10302)*246\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 8. Let s(p) = -5*p + 9. Let n(i) = -3*s(i) - 4*u(i). Let f be n(4). Is f != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from tkkkt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -31. Suppose d = -x*d + d. Solve -2*q = -d*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 230\/9, -3, 2, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h**(-1\/5)\/h)\/h)**(-41))**(1\/9) assuming h is positive.\nAnswer: h**(41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 919, 918, 917, 916, 915?\n\"Answer: -f + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 2, r: 9, a: 5}. What is prob of sequence ppr?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 + 8\/(-6)). Let c(t) be the second derivative of t**4\/12 + t**3\/3 - 3*t**2\/2 - 3*t - 18. Let p be c(n). Is p equal to 15\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(528) - sqrt(198)\/((sqrt(6) - sqrt(96)) + sqrt(6)))\/(sqrt(3)*-2*3 - (sqrt(300)*-2 - sqrt(300))).\nAnswer: -31*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53, 65, 81, 101, 125, 153, 185?\n\"Answer: 2*z**2 + 6*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/40 and -99\/263536?\nAnswer: 1317680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10053*a**3 - 20*a**2 + 2824. Let z(r) = r**3 + r**2 - 1. Let s(w) = j(w) + 20*z(w). What is the first derivative of s(n) wrt n?\nAnswer: 30219*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 20. Let f(s) = 2*s + 7. Suppose -7*u + 125 = 83. Suppose -2*g + 13 = -5*w - 3, g + u = -w. Give w*d(p) + 11*f(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -0*y - 21*y - 138 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-11 + (-21 - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6977 times 5059\nAnswer: -35296643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/24 - q**3\/6 + q**2. Let s(h) = -4*h - 3. Let k(j) = -3*m(j) + s(j). What is the least common multiple of k(-8) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10 - 2. Let l(m) = -8*m + 3 + 8*m - 2*m - g*m. What is the smallest common multiple of l(-1) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 10*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1831.9111 - 1832. Let m = -18.09 + 18. Let o = m - x. What is o rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -679 or -673?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26743377 and 5.\nAnswer: 1.33716885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30746 bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 49*t**5\/15 + 2122*t**2. Let f(j) = -4*j**2. What is f(m(u))?\nAnswer: -153664*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -644\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10 - 0. Let r = q - 1. Let y(s) = s**3 + 3*s**2 - 2*s + 4. Does 4 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262112270.\nAnswer: 2, 5, 7, 534923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -106 (b) -2 (c) -1 (d) -1.51 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 2*i - 2*i)*(-4*i**2 + i**2 + 5*i**2) + i**3 + i**3 + 0*i**3 + 6*i**3 - 3*i**3 + 4*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1210*f**2 + 1 - 1 + 1598*f**2 - 725*f**2.\nAnswer: 2083*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*f**2 + 52*f**2 - 221*f**2.\nAnswer: -249*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + 0.7. Let v = u + -2. Let s = 0.06 - -1.94. Which is the closest to 0.1? (a) s (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425705 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 15. Suppose -5 + r = -i. Suppose 0 = -3*t + i*t + 180. Is t a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 73 = 3*w + t, 5*w + t = 184. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8077 (b) 2\/17 (c) -1\/2 (d) 0.5 (e) 10\/29 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 256 + 428. Suppose -5*l - 41 = -i - 3*i, 0 = -5*i - 5*l + 85. What is the remainder when a is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 0.1, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (211\/2 + 2)\/((-5)\/(-10)). Let j be (358\/(-130) - -2) + 129\/i. Which is the third smallest value? (a) 3 (b) -70 (c) 0 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7287, -26189, -57693, -101799, -158507, -227817, -309729?\n\"Answer: -6301*b**2 + b - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 + 4*h**2 + 3*h. Let j(v) = -8*v**3 - 9*v**2 - 7*v. Suppose -62*b + 2244 = -59*b. Let o = b - 746. Calculate o*j(l) + 5*u(l).\nAnswer: 4*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from aaaaaarraaaarraaaar?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h + 105. Let c be k(8). Let n = 182 + -286. Let s = c - n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 3435 = 475. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 - 5*k**2 + k**2)*(-46*k**2 - 103 + 103)*(1 + 3 + 1) to i*k**2 + u*k**4 + z*k + p + o*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -142018\nAnswer: 15\/142018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:23 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -6 - (-1 + 3). Let t be 1\/2*12\/b. Let j = 7 - t. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-55)\/(-10) + -3)*1142. Suppose 5 = -5*i, 0*m + 5*m - 5*i - t = 0. Let q = m - 359. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(-1\/5)*n)\/n)\/(n*n**(-1\/5)*n))**(-9) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.95 + 0.45. Let y = x + -23. Which is the second smallest value? (a) -7 (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1208 (c) -2 (d) 12 (e) -6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*a - 12, 5*o + 5*a + 2 - 17 = 0. Let j = o - 2. Suppose -5*f + 165 = -j. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4*f + 5*f)*(-379*f**4 + 80891 - 80891).\nAnswer: 379*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 104. Let j = n + 90. Calculate the remainder when 20 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9044714mg in nanograms?\nAnswer: 904471.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.1936 millilitres to litres.\nAnswer: 0.2971936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0304738275 and -4.\nAnswer: -3.9695261725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150 is divided by 93.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3855340 divided by -385534\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25. Let z(f) be the second derivative of -1\/15*f**4 + 2\/75*f**6 + d + 3*f - 1\/105*f**7 + 1\/15*f**3 + 0*f**5 + 0*f**2. Factor z(u).\nAnswer: -2*u*(u - 1)**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 3 - 204*g - 3 + 0 + 3468*g**2 + 5.\nAnswer: 3*(34*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 1489*k + 2974.\nAnswer: (k - 1487)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -195*z**4 + 42*z**3 + 513*z**2 + 336*z + 60 = 0?\nAnswer: -1, -2\/5, -5\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 3*o + 3. Calculate the remainder when 12 is divided by z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, t: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:56 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 850*w - 18*w.\nAnswer: -868*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 3*a)*(-2*a**4 + 4*a**4 - 3*a**4) + (-3*a + 2*a**3 + 3*a)*(11*a**2 + 49*a**2 - 27*a**2) + 0*a**3 + 0*a**3 - 2*a**5.\nAnswer: 61*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7099803 + 2.71. What is l rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -484.\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 9*f**2 - 9. Suppose 0 = h - 2*r - 9, 4*r + 14 = h - 3*h. Let y(x) = -x**2 - 1. What is h*a(j) - 9*y(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -15*z**2 + 187*z - 88. Give k(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2134.00023007 + 2134. Round t to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(11)*1 + ((sqrt(3168) - 2*sqrt(3168) - sqrt(22))\/sqrt(2))**2.\nAnswer: sqrt(11) + 1862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 1109524*s + 2219052. What is l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.564 * -0.4.\nAnswer: 2.6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - (-2)\/(-6). Let n = -36 + 155. Let d be n\/(2\/(-2)*o). What is the greatest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323760238 is divided by 2939?\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1690*-8.54.\nAnswer: 14432.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5 = 6*y + 5*u + 6 + 15, 0 = -6*y + 29*u + 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.061 or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/43 and 41\/2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 296 + 166. Suppose 0 = 4*a - 3*u - 308, 3*a + u + 2*u - p = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(325)*-2)**2 - sqrt(325)) + sqrt(91)\/(sqrt(49)\/(sqrt(14)\/sqrt(2))) + 0.\nAnswer: -4*sqrt(13) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 53*h**3\/3 - h - 23. Let t(r) = -2*r. Give t(s(z)).\nAnswer: -106*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 6. Let a(x) = x - 4. Let y be a(5). Suppose 4*u + 34 = 54. Solve -m*o - y = u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-t - 4*t + 3*t)*(2*t + 0*t - t) - 4*t**2 + 1 - 1)*(-3 + t + 3) to u*t**3 + s*t + p*t**2 + w and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*q + 5, 0 = 2*v + q - 16 + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75961952 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc0b (base 16) to base 15.\nAnswer: -10725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p + 4. Suppose 5*j - z - 19 = 0, 0 = 4*j - z - 3*z - 28. Let y = j + -4. Let o be (1*6)\/y - -1. Let h(d) = 10*d - 6. Determine o*h(r) - 7*i(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.446 litres in millilitres?\nAnswer: 970446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/60 + 5*l**4\/12 + l**3\/6 - 51*l**2. Let y be r(9). Solve -2*k + y = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38a (base 11) to base 3\nAnswer: 122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 56*v - 48. Let s(g) = 5*g**2 - 55*g - 48. Let u(b) = -6*r(b) + 4*s(b). Factor u(d).\nAnswer: -4*(d - 8)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose 4*n + 4*x = 3*x, -n + 5*x = b. Let h(w) = -w + 3. List the prime factors of h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 12*b - 9. Let l(s) = -2*s**2 - 74*s + 3*s**2 - 17 + 73*s. Let o be l(6). Let c be f(o). Solve -4*a - 2*j = 8, c*a + 3*j = 3*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {u: 3, j: 2, h: 1, s: 2, m: 2, r: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117730 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2. Let b(f) = 2*f**2 + 43092*f - 6. Give b(l(r)).\nAnswer: 50*r**4 + 215460*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*g + 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 42*c + 16. Does 7 divide n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3330562.\nAnswer: 2, 113, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 minus 60?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60323*j**2 + 2643*j + 3.\nAnswer: 120646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -295, -120, 57, 236, 417?\n\"Answer: a**2 + 172*a - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3680411?\nAnswer: 7, 525773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 59. Solve w*j + 0 = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2. Let u(a) = 2180103*a**2 + a - 2183053*a**2 - a. Calculate z(u(w)).\nAnswer: -26107500*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -5, 0.09, -17, -0.4, 2 in descending order.\nAnswer: 2, 0.09, -0.02, -0.4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2414.1 + 2440. Which is the biggest value? (a) u (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 - -0.8. Which is the smallest value? (a) -5 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, y: 12}. Give prob of picking 1 v and 1 y.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 371122145 divided by 6\nAnswer: 371122145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45499120871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*w - 7, 22*a + 14 = 2*w + 27*a. Let z(m) = -2*m**2 - 6*m - 6. Give z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3255 - 3255.054. Do 14 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 19.3. Which is the second biggest value? (a) -1 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96, -84, -72?\n\"Answer: 12*z - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:58 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 261 = -3*n - 0*n, 2*n = 4*s - 344. Let m = 140 - s. Calculate the highest common factor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4326882 (base 10) to base 11.\nAnswer: -249593a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 + -0.4321?\nAnswer: -0.7621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - (0 + 0 + -138 + 121 + 15).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*t = r, -r + t + 10 = 0. Solve -r*i + 10 = 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -39, 105, 391, 867, 1581, 2581?\nAnswer: 3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4477614 kilograms to tonnes.\nAnswer: 0.0004477614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/20))**29 assuming v is positive.\nAnswer: v**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1040417114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7953 + -6295. Does 200 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -1\/3, 3, -6\/7 in decreasing order.\nAnswer: 3, -1\/10, -1\/3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.14, -2, -3, 5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = a + 4*a - 16, 0 = -3*a + 4*j + 18. Suppose 9 = 3*g + 3. Suppose -4*r + 50 = -g*r. Solve 3*f = t + 7, 5*f - a*t - r = 3*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -155, -237, -319, -401?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*f + 245*f - 4*w - 33 = 0, -4*f = 5*w + 121 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a6287 (base 12) in base 10?\nAnswer: -715783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -77, 3, 0, 15 in ascending order.\nAnswer: -77, -9, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x + 27*x - 10*x - 9*x. Let l(u) = -18*u. What is g(l(p))?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 3\/14 (c) 0.1 (d) 0 (e) -358313 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**4\/3 + 17*p**2\/2 - 4*p + 7. Let v(w) be the first derivative of y(w). Is v(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4673*b**2 - 14*b**3 + b**3 + 4673*b**2.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161582039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, x: 12}. Give prob of picking 1 x and 2 m.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let x be 2 + (-2)\/(-2)*1. Let f(o) = 3*o + o**2 + x*o**3 - 4*o**3 - 4 - 4*o. Give f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 679 - 6\/(-4)*20\/6. Let i = s + 258. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 236*d**2 + 3*d - 1026. Let j(q) = -234*q**2 - 2*q + 1024. Let y(n) = 3*b(n) + 4*j(n). Differentiate y(u) with respect to u.\nAnswer: -456*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*c**2 - 70*c**2 - 19*c**2 + (-4*c + 5 - 5)*(-3*c - 5*c - 2*c))*(8*c + 2*c + c) as f*c + k*c**3 + i*c**2 + g and give k.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0169986714 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/(-45))\/((-2)\/(-3)). Let q(m) = -5*m**2 + 1. Let a be q(d). Sort 0, a, 3.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4798 - 2181 - 2617 - 480*n.\nAnswer: -480*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/333? (a) -4 (b) -21\/5 (c) 1\/8 (d) 3 (e) 0.4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 61.99349 * -2.7\nAnswer: -167.382423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**30)**(-28)\/(u**(-15))**(-5\/2) assuming u is positive.\nAnswer: u**(-1755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 124. Suppose -25*x + 7 = -f*x + j, -j - 5 = -3*x. Let y = 4 + 1. What is the lowest common multiple of x and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*m**2*z**2 + 816*j*m**2*z + 3353*j*m + 16*j*z**2 - 2*m*z wrt m.\nAnswer: 10*j*z**2 + 1632*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 21*g + 60 = 0. Put g, 4, -5, -4 in ascending order.\nAnswer: -5, -4, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 48 = i - q, -5*q = -i + 60. What is the least common multiple of 145 and i?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/13, 345, -19, -5, -1\/2?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1629)\/3801*4\/(-78)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3 - 3 - -5. Suppose -3 = -a*o + 9. Suppose o*s - 26 = 3*s. Let l(b) = -4*b**2 + 4*b - 9. Let n(g) = -g**2 + g - 2. Determine s*n(v) - 6*l(v).\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6109.\nAnswer: 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4937\/12 + 403. Find the common denominator of -5\/3 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331 is divided by 3318.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 61. Let d be h(28). Suppose -20 = -5*k - d. Let 14\/11*f**2 + 4\/11*f**k + 14\/11*f + 4\/11 = 0. What is f?\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrwowrwwewwjrjeoww. Give prob of picking 2 j, 1 w, and 1 o.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3899 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 363*c**2. Let d(w) be the first derivative of -w**2 - 909. What is z(d(l))?\nAnswer: 1452*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 315084 divided by -9548\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 19 = x, -5*x + t = -19. Let j(n) = 2*n - 2. Determine j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 i, and 1 s when four letters picked without replacement from ggsii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 8. Calculate m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19945.54mg?\nAnswer: 19.94554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7613 + -7592. Let m(k) = -k**3 + 5*k**2 + 3. Calculate the smallest common multiple of d and m(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 199.3?\nAnswer: 199.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = -5. Let g(l) = l**3 + l**2 - 5 + u*l**3 - 4*l**3 + l. Determine g(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2246 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10) + 2\/4. Let b(d) = d**3 - d**2 - 2*d - 1. Determine b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5824 or 5752?\nAnswer: 5824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244016, -4, 3, -5, 0 in decreasing order.\nAnswer: 244016, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 26*i**2 - 26*i - 22. Let r be x(-25). Solve -r*p - 14 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -642*g - 3*g**4 + 23*g**2 + 2*g**3 + 636*g + 3*g**2 in the form u*g**4 + o*g**2 + v + k*g**3 + r*g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-10) + (-15 - (-803)\/55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3398, 2.7, 3, 0.5 in increasing order.\nAnswer: -3398, 0.5, 2.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*y - 12994 = 0, -5*q - 2*y = -3*y - 16286. Is 74 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*i = 936*i + 4776 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzmppppmppmy. What is prob of sequence zy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4118.056 days?\nAnswer: 5930000.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 5. Let y be w(3). Suppose y*l = 5*l - 6. Solve -1 = -l*u - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6392*c**2 + 27100*c**2 + 24573*c**2 + 41042*c**2 - 12632*c**2.\nAnswer: 86475*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-126)\/(-133))\/(-3))\/(-3)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 3*u + 3*u + (-u - 3*u + 2*u)*(-4 + 0 + 2) - 126 + 72*u + 126 to l*u + r and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = -2*t, -y - 72*t + 75*t = 1. Solve 4*z = 4*r, y*r = -3*z + 3 - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -805.13 and -25?\nAnswer: 780.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 15*t + 15. What are the prime factors of (-3)\/t + 196\/5?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 1. Suppose 6*y - m*q = 2*y + 2759, -3*y = -5*q - 2068. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*p + 2*p + 14211 = 0, p - 8547 = -3*y. What is the greatest common divisor of 1533 and y?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -2 in decreasing order.\nAnswer: 10, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 11*a**2 - 25*a + 1. Let l(y) = -15*y**2 - 62*y. Let h be l(-4). Calculate b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = -0. Suppose 4*h + 27 = 3. Let x(i) = -i**3 - 7*i**2 - 6*i + 1. Let n be x(h). Let u(g) = -1. Let r(t) = -2*t**2 - 6. What is n*r(f) + y*u(f)?\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 - 13*s + 13. Let q(j) = -3*j**3 - 33*j**2 + 38*j - 38. Let n(k) = 17*f(k) + 6*q(k). Let i be n(-11). Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 82. Let f = 1918 + -1758. What is the remainder when f is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let b = 0 + f. Suppose -16 = b*j - 6*j. Calculate the remainder when 10 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 + 12*z**2 - 7*z + 3. Let i be g(5). Let t = i + 248. Solve 3*r = -7 + t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -9)\/((-5)\/(9*-5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 1\/9349, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/20)\/((-30)\/(-75))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*n**3 - 2*i**3 + 13*n**3 + 65*n**2 wrt n.\nAnswer: 12*i**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/3 - -1) + 4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = 0. Suppose 5*m - 8 - 17 = h. Suppose -m*r - 928 = 127. What is r rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by 171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 648 - 631 = -b, 8*b = m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15 = -795. Let i = -210 - y. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 3*d - 5. Let q be g(-5). Let v = 77 - q. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727862 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.2, 1\/3, -8.2211.\nAnswer: -8.2211, -6, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 6, 90 in increasing order.\nAnswer: -1, 4, 6, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2293, 2505, 2873, 3409, 4125?\nAnswer: 5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 + 5. Let n be w(-4). Suppose -20 = -n*x - 0. Let h = -1 + x. Solve 5*f - 1 = -h*t, -f + 5 = -3*t - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z = -23*z. Let c(g) be the third derivative of z*g - 1\/24*g**4 + 0 + 2\/3*g**3 + g**2. Determine c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 3*x**2 - 4. Let n be i(-2). Which is the closest to 0.2? (a) n (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/64491 and -38\/3969.\nAnswer: 12188799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -c + 2914, -37*u + 5815 = 2*c - 32*u. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2761.\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 294 = 10*u. Suppose u = 5*v + p, 3*p - p = -3*v + 91. Find the second derivative of -v*i - 403 + 403 - 39*i**2 wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 402389 and 26351.\nAnswer: 815642503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 30 = 13*y. Let c = y - -38. Solve 3*u + 5*v - c = 0, u - 3*v - 1 = -12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567 divided by 16620\nAnswer: -189\/5540","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 125. Suppose -4*x - 2*o + 6 = 0, x + 5*o - b = 7*o. Solve -3*w - 3*h = 6, x*h + 0*h + 12 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(-2\/15))*v)**14)**20 assuming v is positive.\nAnswer: v**(1792\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 4014569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-9 - 0) + 8 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 439.62486900734 - 19\nAnswer: 420.62486900734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/5 - 1838*l\/5 + 368 = 0.\nAnswer: -920, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - m + 284 = 0, 23 = -49*l + 47*l + 2*m + 11 - 16 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510916799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 5:00 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 3*n**2 - 7*n - 12. Let m be k(-4). Let o be (1 - m) + (2 - -1428139). Let p = o + -998142. Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8904.063 years to millennia.\nAnswer: 8.904063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(3 + 1 - 3) + 12*m - m + 14*m.\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - 4*u**2 + 5*u + 7. Let r be l(-2). Differentiate -22*f**3 + 5 + r*f**3 + 33 with respect to f.\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t + 1. Let q(m) = -5*m**3 - 2*m**2 + 4*m - 4. Give -4*h(j) - q(j).\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*i + 4*y - y, -y - 11 = 2*i. Let h = -1726.4 + 1726. Which is the nearest to -2\/5? (a) -3 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/11)*a*a*a\/a**(-4\/9)*a**(-7)*a*(a\/a**11)\/a assuming a is positive.\nAnswer: a**(-1225\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 = 3*z, -4*z = -w - 27 - 3. Suppose -2*u = -z*u + i - 28, -4*u - 5*i = 5. Calculate the least common multiple of 8 and (-1 + u)\/((-12)\/40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + 3*r**2)*(r**2 + 2*r**2 - r**2 + (r - 3*r + 0*r)*(-2*r - 2*r + 2*r) + 0*r**2 - 24*r**2 - 63*r**2).\nAnswer: -243*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 22052.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321007 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304752\/(-16326) - (-4)\/3?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -3*v + 1\/3*v**3 + 0 + 0*v**2. Let c(x) = 4*x**2. Give f(c(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 153 = 0. What is the greatest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5637171 to the nearest integer?\nAnswer: 2374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*p - 1 = 0, -4 = -2*i - 5*p + 3*p. Suppose 3*u - 1 = i. Solve -4*k - u*j - 26 = 0, 0 = -k - j + 2*j - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544746 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3347 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1246*f + 13776. Determine b(-11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 83*k - 3104 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 17. Suppose -138 = -a*x + 5*x. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 + -712. Let l = a + 546. Sort 0.2, l, -3.2.\nAnswer: -3.2, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165164*n - 19768*n - 145129*n.\nAnswer: -330061*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3467059587 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4278 and 1104.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 857 + 1244. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*v)*(3 - 1 - 4) + 4*v + 2*v - 4*v + (-2*v + 4 - 4)*(29 - 21 - 24).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4557079, -4557077, -4557075, -4557073, -4557071, -4557069?\nAnswer: -4557067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 60.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -11. Let y(k) = k**3 + 10*k**2 - 12*k - 10. Let i be y(g). Suppose 19 = 5*m - i. Sort -5, m, 0.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85545 divided by 23\nAnswer: 85545\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 553\/6. Is y != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130.97 + 128. What is p rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*z**2 - 2300 - 109*z**2 + 2297.\nAnswer: -670*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.1 + 11.9. Let m = -28 - q. What is the second biggest value in m, 4, 1\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374602 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/6 + 6*d**2 + 2*d. Let w be (-4 - 0)*12\/8. Give g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3210991 and 3395.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7209 or 14415\/2?\nAnswer: 14415\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 6337.\nAnswer: 66\/6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + x)*(3*x - 9*x + 7*x + 6 + x + 0 + 0 - 4*x + x + x - 2*x + x + 3*x + (0*x - x - x)*(-5 + 2 + 1) + 5*x - 4*x + x).\nAnswer: 8*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 152654.394 rounded to the nearest one thousand?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148636 or -148639?\nAnswer: -148639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5972, -6350, -6998, -7916?\nAnswer: -9104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1343669774 + -0.25.\nAnswer: 1343669773.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 288263689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.264967 hours in weeks?\nAnswer: 0.692053375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-59)\/(-4) + 2\/8. Let l(p) = 2*p + 14. Let r be l(-10). Let x = r + w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v**3\/7 + 1552*v**2\/7 + 1470*v + 18450\/7 = 0. What is v?\nAnswer: -41, -15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7224 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in hours?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.085 times 0.037\nAnswer: 0.003145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -167. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12110 divided by -1.\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 0. Suppose s = 5*l - 6*l + 16. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 3. Let h be t(5). Is (h\/12)\/((-2)\/(-9)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.854 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -433 * 1.1\nAnswer: -476.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10554704527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2002 and 385.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2879 + 799*z - 4*z**3 + 517*z + 52*z**2 - 148 + 542 + 2019 = 0.\nAnswer: -7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 57, 2, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 742 - 764810759.928.\nAnswer: -764810017.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 215 and -5?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1473166.2 times 1\nAnswer: -1473166.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**2 - 12*f + 96. Let p(n) = -3*n**2 - 3*n + 24. Let g(z) = -9*p(z) + 2*s(z). What is the remainder when 78 is divided by g(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 35*c**2 + 32*c - 266. Determine m(-31).\nAnswer: 2586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 0, 0*d + 4*l = -d - 14. Let a be (-18)\/(-126) + 44\/d. Is (-10)\/(-15)*a + 333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 2*a - 65.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*n**4 + 5*n**2 - 7*n**2 - 5*n**2 wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -0.2, 1\/75 in descending order.\nAnswer: 1\/75, -0.2, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 76, 0.\nAnswer: 0, 35, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3191352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*d**2\/3 - 50*d\/3 - 2 = 0. What is d?\nAnswer: -3, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5235.\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 + -24 - 15) + (17 - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a - 13*a**2 - 2*a**2 + 8*a**3 - 2 - 5*a**2. Let t(r) = r**3 - r**2 + r. Let k(w) = -m(w) - 2*t(w). Factor k(v).\nAnswer: -2*(v - 1)**2*(5*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.65\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = 0. Suppose x*h = 2*h. Suppose 3*r = -l + 41, -3*l = -h*r - r - 163. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*m**3*r**3 - 1069*m**3*r**2 - 35*m**2*r**4 - r**2 wrt r?\nAnswer: -270*m**3 - 840*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -129. Let d = 44 - q. Sort 5, -4\/7, -2, d in ascending order.\nAnswer: -2, -4\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2406 and 31\/47270?\nAnswer: 56865810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.8403*-26501\nAnswer: 22268.7903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 882.\nAnswer: 107\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -11 - 24. Solve 5*j - 3 = 4*x, 2*j + 3 = l*x - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 3*f**2 + 4*f - 4. Let v be h(2). Let m be v\/(-4) - 185\/(-40). Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 11 (c) 3 (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-49)\/28)\/(5\/(-4))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*q + 174*q + 97 - 9 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62444 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 - 6*b - 6. Let c be l(-6). Let x = -15 + 9. What are the prime factors of -5*c*x\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 11*k. Suppose 8 = 5*r + 4*j + 18, r = 3*j + 17. Suppose -r*z = -4*a, a + a = -z + 4. Solve k = f - 3*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b**3 - 2*b - 5. Let p(s) = -s**3 + s + 1. What is a(j) + 2*p(j)?\nAnswer: 21*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67314?\nAnswer: 2, 3, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001418598849 to 6 decimal places.\nAnswer: -0.001419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*k = -0*z + 4, 0 = 3*z - k - 6. Suppose 7*u = -z*p + 2*u - 39, -25 = 5*u. Let o = p - -20\/3. Put -3, 0.5, o in ascending order.\nAnswer: -3, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397*f**2*p**2 - 112617*f**2 - 623*p**3 - 3 wrt p?\nAnswer: 794*f**2*p - 1869*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445806 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 154106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7656.73mm to centimeters.\nAnswer: 765.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 3\/((-54)\/(-8476332)) - (-20)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-810)\/(-1539))\/((-5)\/(-2))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13*5*(2 - 3). Suppose y - h = -4*y. Calculate the remainder when 25 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 2}. Give prob of sequence zfz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose m = -q*m - 12. Let t(a) = 5*a - 4*a + 0*a. Calculate t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.26737 and -5.\nAnswer: -6.26737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -14 - 12) + -10 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 - 5*k**3 + 4 - 5*k**2 - 1. Let x be m(5). Differentiate 5*z**3 - 4*z**3 + 0*z**3 - 2*z**x + 3 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -1026\nAnswer: 50274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 2*i + i)*(22 - 861 + 45) to v + l*i and give l.\nAnswer: -4764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 3*v - 86, p = 3*p + 2*p - 5*p - 20*v - 30 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, -0.2, 4, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/35 and -19\/3098564.\nAnswer: 15492820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6456?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 5*f + 3. Let g = -2982 + 2984. What is the least common multiple of v(6) and g?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 4 + 4*u - 5*u - 6. Let n be b(5). Solve -2*t + 3 = i, -13 = -n*t + 5*i - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/5 in -4, 5, 15, -4\/5, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758277 and 1872.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 2 - 1 - 2*b**3 + 2*b. Suppose 0 = s - 5*r - 19 - 10, -4*s - 3*r - 22 = 0. Determine n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 77. Calculate the least common multiple of o and 1*(-1)\/((-1)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2816 = 345. List the prime factors of b.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3429.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-4*8\/32))\/((-6)\/(-3))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2017047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -185 + 192. Let w(v) = -5*v - 2. What is the lowest common multiple of w(-2) and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {h: 10, m: 3, v: 2}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1600 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1865\/15 - 1)*36\/15 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, 658, 2951, 7420, 14791, 25790, 41143, 61576?\nAnswer: 87815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apw when three letters picked without replacement from {a: 1, c: 2, w: 1, f: 1, p: 2, g: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -282?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -79. Calculate the least common multiple of q and 164.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 70. Suppose c - q = b, 2*q - q = 0. Let i = c + -31. Solve i*v + 6 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082860?\nAnswer: 2, 3, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -40?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 55*m + 168. Let t = -890 - -914. Let h be l(t). Suppose -2*k = 3*k - 15. Solve 4*d - k*d = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36908652 + 62808652. What is r rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5076323561 - -0.4.\nAnswer: -5076323560.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(209))\/sqrt(11) - (-2*sqrt(19) + -2)) + -4 + sqrt(209)\/(sqrt(44) + sqrt(11)) + 5 + -2*sqrt(19))**2*5.\nAnswer: 70*sqrt(19) + 5060\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1046773 + -4186909\/4. Solve 363\/2 - 9\/4*b**4 - m*b**3 + 1947\/4*b - 753\/4*b**2 = 0.\nAnswer: -11, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:58 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 609443976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + z + 0*z + (-2*z - 4*z + 4*z)*(0 + 0 - 2))*(-78 - 83*z + 78) in the form l*z**2 + u*z + s and give l.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + 223. Suppose -i = -10*c + 11. Determine q, given that -8\/7*q + 0 - 2\/7*q**c = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1158*q + 60 - 28 + 1158*q + 9168*q**2 - 32)*(7*q - 3*q + 3*q).\nAnswer: 64176*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10\/9 (b) -3.1 (c) -6 (d) 2 (e) -5\/9 (f) 2\/3 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0650551 + 0.061356. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 - -1.26. What is the closest to 1 in 2, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59348, -6, -26 in decreasing order.\nAnswer: 59348, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25925429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 12*d + 292 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + 24 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let w(f) = -3*f**2 - 9*f. Let p(n) be the first derivative of 2*n**3\/3 + 2*n**2 + 1. Let g(a) = 9*p(a) + 4*w(a). What is l(g(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -296, -5, -3\/2, 27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-20*i + 24*i - 16*i)*(5 - 2 - 1)*(-6 + 7 + 7) - 2*i + 2*i + 3*i)*(-2*i**2 + 0 + 0)*(2*i - 2*i + 2*i**2).\nAnswer: 756*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*v + 2*v. Let w = v - 5. What is the highest common divisor of 68 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8*q - 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13908*z + 13986*z - 1716 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**6\/2520 + g**5\/42 + 25*g**4\/42 + 16*g**3\/3 - 45*g. Let r(i) be the second derivative of t(i). Solve r(z) = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209 - 399 + 46 - 11*h**3 - 4*h**2 wrt h?\nAnswer: -33*h**2 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26242, -26234, -26226, -26218?\nAnswer: -26210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 25*j**3 - 5 - 99*j + 99*j.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 13657?\nAnswer: 13657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {w: 1, i: 2, e: 1, n: 4, b: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 - (-4 - (-21 - (-19 + -21))).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -216, -375, -530, -681?\n\"Answer: 2*k**2 - 165*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 - 163*y**4 - 285*y**2.\nAnswer: -240*y**3 - 3912*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (11 + 5 - -2 - -14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04354 + 19.22146. Let g = v - -0.435. Round g to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 - 149. Let d = 484 - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-12 - (-6 + 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:47 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, 4, 21, -35, 0.\nAnswer: -35, -9, -8, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 84 (c) 2 (d) 0.048 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 44. What is the highest common divisor of m and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 33*h**2 - 3*h + 7. Let p be y(3). Let c = -2357\/8 + p. Put c, 0.1, 0 in decreasing order.\nAnswer: c, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(-2)*t)\/(t\/(t*t*t*(t\/(t*t**(-1\/10)))\/t*t)))**(-35)*(t**(2\/13)\/t**(6\/11))**(-45) assuming t is positive.\nAnswer: t**(-76041\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/57577 and 47\/9503.\nAnswer: 978809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (2 + -1))*-2. What is the second derivative of -2*w + 3*w + q*w + 8*w**5 wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**3 - 320*q**2 + 107*q - 64. What is g(53)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 9*c**2 - c + 3. Let v be t(9). Let q be (-8)\/(-3) + 4\/v. Let u be 3 + q + (-2 - -1). Solve 5*n = 4*b - 15, u*b + n - 22 = -1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -929c (base 13) to base 9\nAnswer: -30678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74077, 148151, 222225, 296299, 370373?\n\"Answer: 74074*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 219347.9?\nAnswer: 13160.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3, 2\/11, 1, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 19. Let r be p(-12). Suppose -187 = -r*a + 73. Let h = 122 - a. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.21, 0.1, -1, 4\/7, 172, -18?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -22 - -6) + -1 + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 377710580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m*q**2*w**2 - 131384*m*q*w**3 - 15*m*w**2 + 14*q**2*w**3 - 9116*q**2 wrt w.\nAnswer: -788304*m*q + 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -3 (b) 1.27 (c) 0.2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 7*b**6\/40 + b**5\/20 + b**4\/12 - 6648*b**2. Let h(g) = -42*g**3 - 7*g**2 - 5*g. Calculate -2*h(f) - 5*m(f).\nAnswer: -21*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 m when four letters picked without replacement from {i: 7, m: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148459371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -20. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-20)\/(-15)) - 922\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-21)*((-940)\/3525 + 1\/6)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 + 622. Suppose -i + 70 = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*j + 18787 = 0, -11*j = 5*p - 14*j - 18784. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1) + (7 - 1). Suppose k - n - 9 = -0*n, -s*n = 3*k - 35. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 - 2)*(-2*k**2 + 3*k**2 - 4*k**2)*(-27*k - 7*k + 5*k) + 2*k**3 - 3*k**3 - 2*k**3 to b*k**3 + h + t*k**2 + u*k and give b.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let y(f) be the first derivative of f**3\/6 + 2*f + 3. Let b(x) be the first derivative of y(x). What is v(b(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b*v**2*z**3 - b*v*z**3 - 29*b*z**2 - 29*v**2 + 7*z**3 wrt v?\nAnswer: 10*b*v*z**3 - b*z**3 - 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3238 - -871. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*i - 2, 8 = 5*o - 6*o - 5*i. Let s be ((-6)\/(-10))\/(16\/(-10)). Let g = -23\/36 + 8\/9. Which is the closest to -3? (a) o (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + (-12 - -19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + d - 100 = -2*a, -3*d = 0. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 15277447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0928 - -2.9072. Sort 2, 79, -1\/5, l, -4.\nAnswer: -4, -1\/5, 2, l, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*c + 36474, 63*c - 27356 = 60*c + 2*w. List the prime factors of c.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*s - 3*s. Let b(y) = -1062*y**3 - 2*y**2 - y + 4. Let n be b(s). Let j be (1 - 2) + 1 + n. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let b(k) = 2*k. Let a(u) = 10*u. Let o(v) = 2*a(v) - 11*b(v). Give o(i(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:28 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 572 times 0.1\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13310233 + 11?\nAnswer: -13310222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21942679*-1.5.\nAnswer: -32914018.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 17. Suppose o = 3*r - p, -4*r = 6*o - o - 2. Let t be (0 + -28)\/(2*o\/6). Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5728\/133 + 840\/19. Factor 0 + g*b**3 + 18\/7*b**2 + 4\/7*b.\nAnswer: 2*b*(b + 2)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 23*w = -98. Sort w, 0, 2.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 2. Let k be g(4). Let u = 9 + k. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2401444 - 2?\nAnswer: -2402001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -616 - -614. List the prime factors of (s + 3485\/(-10))\/((-6)\/36).\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2600?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23665 - 5459. What are the prime factors of b?\nAnswer: 2, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12240008 = g + g, 5*g = r - 3060020. Suppose -w = 2*w - r. Round w to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + u)*(0 - 3 - 3)*(2 - u - 3*u + 0).\nAnswer: 24*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1080485 - 113535 = 168700. Round c to the nearest 1000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 2*q)*(2 + 0 + 1) + 1 + 4*q + 6*q - 9*q.\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -923265*a**2 + 411*a - 2892. Let h be l(7). Round h to the nearest one hundred thousand.\nAnswer: -45200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 219 - 25 - 61*n.\nAnswer: -61*n + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(1*sqrt(32)) + -1)**2 - (sqrt(847) + -1 - (1*sqrt(63))\/sqrt(9))) + -2.\nAnswer: -21*sqrt(7)\/2 + 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 270075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 20*h - 51. Suppose 0 = -w - 5*n - 13 + 9, 0 = w - n - 20. Calculate j(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14579 + 12922. Is p != -1660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55411289 a multiple of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -158*x**3 + 6*x**2 - 24*x + 4. Let m(l) = -l**3 + l**2 - 2*l. Let k(d) = 10*m(d) - y(d). What are the prime factors of k(2)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7245 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 5}. What is prob of sequence oooo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllgglgggl.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 25*d + 115. Give w(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -157, -361, -637, -979, -1381, -1837?\n\"Answer: t**3 - 45*t**2 + 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h + 3*i - 111, -5*h + 191 = -i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 447960*k*t**2 - 629129*t**2 wrt k?\nAnswer: 447960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 8*j - 4*j. Let y be 7*1 - (-8)\/j. Suppose 2*i + 5*z - 29 = 0, -y*i + 54 = -2*i + 4*z. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) -2 (c) -1 (d) 1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-679238)\/(-6615) + -103 + -1 + 1 + 4\/12?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = 24. Let o = l + 2. What is the closest to -2 in o, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 9. Let r be j(6). Let p = 0.03 + 2.97. Let n = p - 6. What is the third biggest value in n, r, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -9*d. Solve 0 = -2*v + d*y + 14, 0 = 4*v + 3*y + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 14. Let l be g(4). Let k = l + -3. Suppose -275 = -k*d + 2*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -46. Let n = u - -5. Which is the nearest to -2\/7? (a) n (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 * -0.4\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhttz. Give prob of picking 1 z and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:45 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 127 - 15*m - 6*m**3 - 44 - 5*m - 45 in the form k + s*m**2 + p*m**3 + f*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/47)*((i*(i\/i**(6\/13))\/i)\/i)\/i)\/(i**(-9\/2)*i\/i**(-2\/33)) assuming i is positive.\nAnswer: i**(80617\/40326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320051 and 18.\nAnswer: 7920306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v. Let w(o) = o - 2. Let i be w(3). Let a be p(i). Let k(l) = l**2 - 4*l + 3. Let x be k(a). Solve x*m - 4*n = -3, 3*m + 2*n = n - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49698 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19413592 and 65208?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-580)\/(-348))\/(5\/3*(-4)\/168)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + -6. Let k = -0.313 - -0.013. Which is the closest to u? (a) k (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3407, -52 in descending order.\nAnswer: 3407, 2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15 - 5 = -4*d, d + 2*w - 7 = 0. Let c be 1\/(12\/(-351)) + 21\/(-28). Let b be 24 - 8\/((-48)\/c). Solve -5*q + 7 = -d*g, 4*q + 4*g = q - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40103598*q**2 - 36151218*q.\nAnswer: 80207196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1059765152 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*y - 48, -14*y + 11*y = c - 104. Solve 17*h - 2 = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 - 7*s**2 + 9*s + 21. Let c be k(-10). Let w = 8654 - c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 3. Let a(z) = -7*z**2 - 3*z - 6. Let c(y) = -7*y**2 - 4*y - 8. Let r(p) = -4*a(p) + 3*c(p). What is r(x(v))?\nAnswer: 7*v**4 + 42*v**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/20))\/k)**12\/(((k\/(k*((k**(-2\/13)*k)\/k)\/k))\/k)\/k)**(4\/13) assuming k is positive.\nAnswer: k**(727\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153.5 - 154. Let n = 0.3 + -0.4. Put w, 0.06, n in ascending order.\nAnswer: w, n, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/7 - 93*d**2\/7 + 198*d\/7.\nAnswer: -3*d*(d - 2)*(d + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151967814 + 0.39346.\nAnswer: -151967813.60654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-11 - -18) - ((-3 - 0) + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/35, -5, -2, -88?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 8*g - 2*g + 4*g + 6*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*b - 15, -3*w = 2*b + 14 - 4. Let h be -4 + 1 + b + 1. Calculate the remainder when ((-74)\/6)\/(h\/21) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2631*k - 250 - 5249*k - 257 + 507 + 2622*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2984 or 158182\/53?\nAnswer: 2984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201590312 and 1232?\nAnswer: 403180624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 3*z - 1, 0 = 3*o - 3*z - 3. Find the first derivative of 26 + 11*a**o + 6*a**4 - 4 wrt a.\nAnswer: 68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 6, -i + 1 = 4*o + 10. Let v = i + 6. What is the remainder when (-4 - -2)*-1 + 11 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 467196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1270*o**4 + 1722*o?\nAnswer: -15240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5768 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*k - 13. Suppose 4*s = -k*v + v - 14, 4*s = -16. What is the tens digit of 1\/2*v - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15327 + 17500. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25495316 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 13 - 3\/20*r**4 + 1\/3*r**3 + 3\/10*r**2 - 4\/25*r**5 - 1\/5*r. Determine n so that o(n) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1375 - 1197. Is g > 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579 + 779 = -131*t - 1965 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. What is the smallest common multiple of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 5. Suppose 157 = h*n - 83. Solve -n = 4*b - 9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46152371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -9. Let a = m + -3. Let s = 5 + a. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 12*m**2 + m - 17. Let h be v(12). Let o(n) = -n**3 - n**2 + 8*n + 5. What is the units digit of o(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/17 - 6*z**2\/17 + 20*z\/17 + 48\/17 = 0 for z.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -138? (a) 0.7 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140.4*-0.1.\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**3 + 8*d**3 + 8*d**3)*(-d + 2*d + 0*d + 583 - 26*d - 583 + (-3 + 5 - 1)*(2*d + 0 + 0)) in the form b + y*d**3 + x*d**4 + g*d + t*d**2 and give x.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87112998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17664)\/230)\/(-12))\/(4\/(-15))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 328*o - 333*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53253 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -3, 2, 803 in descending order.\nAnswer: 803, 7, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -160. What is the highest common divisor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(38)\/sqrt(2) + 1 + 6*(sqrt(2299) + -2))*1*-3.\nAnswer: -201*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + q. Let t(c) = 2*c**2. Let r(b) = -3*k(b) + 4*t(b). Let m(i) = 5*i. Determine r(m(v)).\nAnswer: -25*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzzddzzzwwwwzw. Give prob of sequence dww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2652 + 0.0652. Let c = q + 4.199585. Round c to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1179, -4759, -10747, -19143, -29947, -43159?\n\"Answer: -1204*i**2 + 32*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 146 = 4*b + 376 - 824 for b.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 1, w: 4, k: 6, a: 3, l: 3}. What is prob of sequence aawb?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684 <= 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3374742262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.3415 grams in micrograms?\nAnswer: 832341500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose 0*o - o - 2 = j. Let w = 10 - o. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11003 - 3?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 143947664713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 10. Let q(f) = -17*f + 18. Let l(k) = 9*d(k) + 4*q(k). Calculate the remainder when 50 is divided by l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - q - 1. Let d be p(-3). Let g = d - 8. Let r(y) = y**3 + 4*y - 4. What is the remainder when r(g) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/30 + 10*c**2. Let a(u) = -5*u**2. Give p(a(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303141 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281 + 350. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221\/336 - -1\/112. Solve -l*b**2 - 2\/3 + 4\/3*b = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = y - 19, l + 34 = y. Suppose -4*w + y = 11. Suppose 4*x - 3*t - 10808 = 0, -11754 = -4*x + w*t - 954. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suqsuqufuf. Give prob of sequence fs.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9494, 20276, 32344, 45698?\n\"Answer: 643*k**2 + 8853*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:31 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*d + 62. Let t(k) = -k - 3. Let i be t(-6). Suppose 3*n - 42 = i. Calculate the remainder when d is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 1274*p**2\/3 + 2554*p\/3 + 426.\nAnswer: -2*(p - 639)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.04, 2.02, 1.546, 0.08 in descending order.\nAnswer: 2.02, 1.546, 3\/5, 0.08, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/o*o*o\/(o*o\/(o**(1\/4)*o)))\/(o*o*o**(-5\/7)*o*(o\/(o\/(o\/o**(-15))))\/o) assuming o is positive.\nAnswer: o**(-1417\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1831*a**2 + 1680881*a - 1680881*a - 1826*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 193024 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.097304\nAnswer: -0.291912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 559 + -564. Let m = 0.5 + 1.5. Which is the second smallest value? (a) m (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - t - 2. Let o(l) = -l**2 + l + 1. Let p(g) = g + 6. Let u be p(-8). Calculate u*x(j) - 4*o(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 3 + (sqrt(1573) - (sqrt(1573) + 1 - sqrt(1573))))*4 + 3)**2.\nAnswer: 1936*sqrt(13) + 100793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-4)**2 + -5 + 2 + 3 + sqrt(52)\/((sqrt(180)\/sqrt(5))\/sqrt(9) + sqrt(4)) + -2.\nAnswer: sqrt(13)\/2 + 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5361084710 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2350*h**2 - 2049*h + 34. Let v(u) = 294*u**2 - 256*u + 4. Let q(y) = 2*s(y) - 17*v(y). What is the second derivative of q(a) wrt a?\nAnswer: -596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + z + 10. Let n be f(0). Suppose n = -3*t + 22. Let u = t - 7. Let l(y) = y**3 + 4*y**2 + 2*y + 1. Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -19*m**2 + 6*m. Let b be ((-187)\/(-136))\/((-5)\/(-40)). Let x(n) = 37*n**2 - 11*n. What is b*u(a) + 6*x(a)?\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 7*l - 11. Let j be n(-8). Let i = j - -7. Solve 2*z - z = -i*f + 7, -5*f + 8 = z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 - -117. Is 4\/22 + (-2305434)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 5516.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 163, 247?\n\"Answer: 84*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 6*p - 15. Let s be l(8). Let d be (0 - 0) + -2 - 21. Sort -3, d, s in ascending order.\nAnswer: d, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**2 + 23*d - 23*d)*(d**2 - d + d) + (11 - 11 - 3*d)*(d**2 - 11*d**3 - d**2).\nAnswer: 43*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 19. Suppose -6 = 2*q - 4*c, -5*c + 6 = -2*q - 0. Sort p, 4, q.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 2*i + 1. Let o be y(1). Solve 1 = -d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31867, -33422, -34977, -36532, -38087?\n\"Answer: -1555*n - 30312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 36772302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -80\/13, 0.3, 13\/7, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3521145073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -426 (base 7) to base 16\nAnswer: -d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2953 (base 10) to base 8.\nAnswer: -5611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 7*a. Let f(o) = 3*o**2 - 4*o. Let c = -128 - 87. Let s = -208 - c. Give s*f(u) + 4*n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 28 = 0, -2*a + g - 196 = -207. Solve a*c = -23*c + 256 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -92023*r - 183813. Calculate z(-2).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 15) to base 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(90)*-2 + sqrt(90))*-3 + (sqrt(90) - (sqrt(90) + sqrt(90) + 6*-1*sqrt(90))) + sqrt(90) + sqrt(90))\/((3*sqrt(64))\/sqrt(8)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 12) + (37 - (0 - -1)). Let r be 222\/(-8)*56\/21. Let q = r + 79. Solve q*z + g - 12 = -5*d, -2*d = -z + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 773, 1593, 2397, 3179, 3933, 4653, 5333?\n\"Answer: -h**3 - 2*h**2 + 833*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8482 + -4329. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4558, 8220, 11880, 15538, 19194, 22848?\n\"Answer: -r**2 + 3665*r + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3755\/12 + -1517\/4. Let n = -155\/12 + a. Let v = n - -80. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19019 + (-13)\/(-26)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Let x(z) = 2*z + 23*z**2 + 293*z**2 - 127*z**2. Give x(p(k)).\nAnswer: 189*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 7*c**2 - 18*c + 1. Let n be h(-9). What is the remainder when (-1468)\/(-36) + n - (-10)\/45 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-24)*(-8 + 32\/5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 87903596.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3655824 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/92 and -83\/3568.\nAnswer: 82064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 90*g**3 + 74*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54485, -54528, -54599, -54698, -54825, -54980, -55163?\n\"Answer: -14*r**2 - r - 54470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -233, -399, -645, -977, -1401, -1923?\n\"Answer: -q**3 - 31*q**2 + 8*q - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.7 - -8.3. Let x = -45.2 + o. Is x greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195884532 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u = -b + 24*u + 9, 3*b = 2*u - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -6, -13*k = -d - 15*k - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a week in minutes?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - (-1 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + a + 3*a)*((-3*a + 0*a + a)*(-6 + 4 + 60) + (0*a - 5*a + a)*(-3 + 3 - 1)) to the form g + t*a + s*a**2 and give s.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32737 is divided by 15692?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111 + 20*m - 5*m - m - 13*m - 203*m**2 wrt m.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(2\/30*2 - 484\/330). Which is the nearest to -51? (a) -0.3 (b) z (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0555 + 4.0555. Which is the second smallest value? (a) i (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 17*x - 18*x - 66 = 0. What is the nearest to 5 in x, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*y**2 + 16*y + 0 = 0. What is y?\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020023 - -1012?\nAnswer: -1013011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4356 - 4343. Solve -13 = -4*l + 5*c, -l = r*c - 11*c + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**6\/40 - o**5\/5 + 5*o**4\/8 - o**3 + 5*o**2 + 8. Let q(z) be the second derivative of j(z). Factor q(p).\nAnswer: 3*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141642 and 3390?\nAnswer: 80027730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 27102570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 90006\nAnswer: 5\/90006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 21*o - 29. What is u(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 40, 58, 76, 94, 112?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5673443 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 0*x**3 + 2*x**3)*((-3*x + 2*x + 3*x)*(x + x - x) - 5*x**2 + 0*x**2 - 15*x**2 + (-x + 6*x - 4*x)*(0*x + 3*x - 5*x)).\nAnswer: -80*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 6. Let k = n + 5.5. Let t = -0.4999908 + k. Round t to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(2\/(-132)). Suppose 5*r + 2*j = 587, -r + j + 361 = 2*r. Let o = r + i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-3*(2 + sqrt(605) + sqrt(5) - sqrt(5)) + sqrt(15)\/(3*sqrt(147))))*6.\nAnswer: 156 + 6920*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 3, k: 3}. Give prob of sequence iiiz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 414 + 130. Let u = g - 543.183. Let y = -0.88 + u. Round y to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 520270 - -17?\nAnswer: 520287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361220579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1483290*q**3 - 11*q**2*w - 3*w - 5135749 wrt q?\nAnswer: -4449870*q**2 - 22*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(2 + 2*k - 2)*(5 - 5 - 7) to d*k + b and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30073.\nAnswer: 17, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.8033 centuries to years.\nAnswer: 4280.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(112)*-4 + -4) - -2*(-1 + sqrt(112) + -4)))**2.\nAnswer: 21600*sqrt(7) + 908100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 + 6*v**2 - 6*v + 6. Let q(l) = 16*l + 14*l - 26*l**2 - 30*l**3 - 9*l**2 + 11*l - 6*l - 35. Give -35*b(k) - 6*q(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-78)\/13)\/6 - (-876 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/58*32*(-311)\/12440\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 0.16 (c) -1 (d) -0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/6? (a) -3 (b) 2\/15 (c) 2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80.49 and -12.\nAnswer: -965.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 1886383 = 41*d - 132777. Does 104 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, r: 5, v: 1, m: 6}. Give prob of picking 2 l, 1 m, and 1 r.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 53?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + sqrt(208) + 2 + sqrt(208))**2 - (2 + sqrt(208) + -1))*3*2.\nAnswer: -5280 - 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.640876ns?\nAnswer: 0.000000008640876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 18 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7697742?\nAnswer: 2, 3, 13, 98689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -1\/480*s**6 - s**2 - 15 + 0*s + 5\/32*s**4 + 1\/3*s**3 + 1\/40*s**5. Factor y(b).\nAnswer: -(b - 8)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/9 - 122728\/(-522). Which is smaller: 231 or c?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 40. Suppose 0 = -k - 3*k + 32. Suppose -k = 2*a, 5*b - 5*a = -2*a + 77. Let z be n(b). Solve -5*s = 7 - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(119 + -118)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1608 divided by -4\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 + 23 = 2*p, 4*p - 28 = -4*x. Suppose -k = -o - 22, p*k = -5*o + 63 + 7. Calculate the smallest common multiple of 18 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1405, -1396, -1381, -1360, -1333?\n\"Answer: 3*z**2 - 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 20*u**2 + 112*u + 128 = 0. What is u?\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*x + 14*x + 6487 + 2763 = 0. Which is smaller: 7.3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(66))\/((sqrt(18)*-2)\/sqrt(3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5517619859 to the power of 1\/3, to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637.5 + -9634560.27.\nAnswer: -9633922.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z - 115. Let f be d(-10). Let m(u) = -12*u - 18. Let w(l) = l + 1. Give f*w(r) + m(r).\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963 is divided by 1475?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 472\/826*7\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 16 = -4*l, -3*l - 1 + 3 = -v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28829299 is divided by 1932?\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -50 - 0) + 16 + (11 - 33) + -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/20 + (-1)\/2. Let r be (-3)\/(-12) + (-38)\/(-8). Let a(p) = -p**2 + 6*p - 6. Let h be a(r). Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*i*t**5 - i*t**4 - 2*i*t**3 - 269*i*t**2 wrt t.\nAnswer: -1560*i*t**2 - 24*i*t - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 5. Calculate l(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a03a9 (base 13) in base 14?\nAnswer: 7646c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -28, -1\/6 in descending order.\nAnswer: 1\/3, -1\/6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 7. Let j be w(5). Let a(u) = 3*u - 5. Let m be a(j). Let q = m + -10. Calculate the remainder when 25 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 13 + 35 - 1702*n)*(6*n + 0*n - 5*n) to m*n**2 + g + h*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 - 2 - u - 3 - 2. Let c be l(-3). Put 7, 0, c in ascending order.\nAnswer: c, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auauakkkkkaxakuak. Give prob of picking 2 u.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, -4, -13 in increasing order.\nAnswer: -16, -13, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-6))*(0 - -3). Suppose -2 = 4*n + q. Let c be ((-18 + 15)*2\/(-3))\/n. Is c greater than or equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 + 2*v - 1. Let k be m(-2). Let i be 18\/4 + k\/6. What is the second derivative of i - 2*b - b**2 - 5 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -17*m**2 - m + 2. Let h(r) = 6*r**2 - 1. Let f(q) = -4*g(q) - 11*h(q). Let l be f(-4). What is the greatest common divisor of 209 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 4, p: 5, f: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let u(h) = -233*h**2. Calculate u(n(x)).\nAnswer: -233*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:18 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21567083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -158*14.3\nAnswer: -2259.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Suppose 29 = 406*x - 329*x + 198 + 216. Let k(d) = 4*d. Let c be k(-1). Sort 0, c, x, g in descending order.\nAnswer: g, 0, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78420 is divided by 115?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Solve y*o + 16 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + n - 16*n to x + s*n and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043818051 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103303 + 412323?\nAnswer: 1021131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 8656*j + 8657 = 0.\nAnswer: -8657, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 12) to base 8.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -4216\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5315\/274 (b) 17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a. Let y(j) = -j**3 + j**2 - 10*j + 1. Give -2*f(t) - y(t).\nAnswer: t**3 + t**2 + 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5 - -18) + -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(16\/5)\/(b**(-1)*b)*b*b**7*b**21)**26 assuming b is positive.\nAnswer: b**(4186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 3. Let x be 2 - 0 - (2 + -4). Suppose -x*d = -3 - 17. Let h be k(d). Put -5, 4, h in increasing order.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 115 (b) -1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41100 and 984756?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-6.13.\nAnswer: -0.1226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3130 and 1252.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10370 = 2580*l - 2750*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-14)) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 + 2 - 1 - 22*b**2 - 1194*b**3.\nAnswer: -1194*b**3 - 35*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:09 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 - 48005?\nAnswer: -48082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from {l: 1, c: 2, y: 1, e: 3, w: 3, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(14592\/24)\/(-38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -99*p**3 - 5*p**2 + 55*p - 9. Let o(z) = -24*z**3 - z**2 + 14*z - 2. Determine 9*o(j) - 2*q(j).\nAnswer: -18*j**3 + j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c*c*c*c**(3\/19))**(-39) assuming c is positive.\nAnswer: c**(-7527\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 8*h + 4. Let x be w(7). Let q = 7 - x. Calculate the remainder when 37 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 128, 210, 308, 428?\n\"Answer: j**3 - j**2 + 68*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1224 + 128732?\nAnswer: 131056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/3 + 7*l**3\/6 - 48*l. Let x be t(-3). Let m(r) = r**3 - 16*r**2 + 19*r - 32. What is the units digit of m(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2632 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = 8. Let h(m) = m**3 + 10*m**2 + 2*m - 13. Let p be h(z). What is the highest common divisor of 80 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3f4?\nAnswer: -3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a**(-4)\/a))*a**8)\/((a*a**6*a)\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 3\/2*t**3 - t**2 - 13*t. Calculate a(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Let v = -17 + g. Let j be (2\/3)\/(v\/(-54)). Solve y = 1 - j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 12:10 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*n - 150*n + 352*n.\nAnswer: 504*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, -10, -26, -44?\n\"Answer: -q**2 - 11*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126248*n - 37824 = -126839*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 14*q**2 + 13*q + 2. Let r be a(13). Does 13 divide (23\/2 - 5)\/(r\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/((-14)\/(-28))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330.072 take away 9.25?\nAnswer: 4320.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:20 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -27. Let z be (9\/3)\/((-1)\/u). Let x be (-3 - 7\/(-2))*0. Solve x = 5*g - 14 + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298658741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*o + 29 = 13, -16 = 4*o. Solve 12 = f + 5*x, -4*f + 0*x - x - 9 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let s be (-1)\/(v*3\/18). Let m(j) = -2*j**2 - 4*j - 16. Let c(b) = 2. Let u(z) = 6*c(z) + m(z). Determine u(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*f**2 - 12*f**2 - 2*f**4 - 4*f + 3*f + 8*f**2 to s*f**3 + x*f**2 + y + a*f**4 + z*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*f = -0*x + 6, -2*x + 2*f - 12 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49954 is divided by 99.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01658 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eese when four letters picked without replacement from esseeseesee?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 55*p - 42 + 40.\nAnswer: 55*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18819736?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3*y - 1. Let w be x(-3). Let n = 5.6 - 1.6. Which is the smallest value? (a) -0.3 (b) 1\/11 (c) w (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d (base 15) in base 4?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, -64, 0, 1, -101 in ascending order.\nAnswer: -101, -64, 0, 1, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*j - 137641 = 0, -t + 4*j = -0*j - 68793. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 9. Let h = 8.5 + o. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2045 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 49*n**5\/5 + 89*n**4\/6 - 214*n. What is the third derivative of s(x) wrt x?\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/1673 - 125499\/6692. Let c be -69*(-3 - (-1)\/3 - -4). Find the common denominator of 22 - 19 - c\/(-10) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 22*p**4 - 6*p**3 - 6*p**2 - 23. Let m(o) = -23*o**4 + 5*o**3 + 5*o**2 + 23. Let w(d) = -5*f(d) - 6*m(d). Differentiate w(u) with respect to u.\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13521876?\nAnswer: 2, 3, 1126823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 15) to base 14.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1) + (-13 - (16 - -7 - 42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 45481458?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 + 10*n + 1. Let k be ((-4)\/24)\/(2\/9)*12. Give d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*-2*((-40)\/15)\/4. List the prime factors of 6*(-6)\/t*-74.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 16. What is the first derivative of -13*i + 21*i - 3 + o wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/5 - 3599*r**4\/5 - 142636*r**3\/5 - 196588*r**2 - 2335216*r\/5 - 1822208\/5 = 0. What is r?\nAnswer: -3559, -32, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u + 43. Let o be h(-8). Suppose o*q - 359 = -4*c + 57, 0 = 3*q + c - 410. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 14 + 11 - (-5 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 45 + 2*a + 2*a**2 + 0*a - 31 as o + k*a**2 + j*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1213*x**2 + 5*x. Let z(y) = -1215*y**2 + 4*y. What is -4*j(c) + 5*z(c)?\nAnswer: -1223*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -1, -3 in decreasing order.\nAnswer: 116, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111111 - 10102?\nAnswer: 101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -10. Let x = -0.114 + 21.514. Let a = x - 21. What is the third biggest value in 1\/2, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ad4c5 (base 14) in base 2?\nAnswer: 10010000001001010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -28 + 12 + (-10 - 16) + -5 + 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((((sqrt(44) - sqrt(176)) + 4 - sqrt(44))*6)**2 - ((sqrt(121) + -4*((1*sqrt(121) - sqrt(121)) + sqrt(121)))\/sqrt(11)*-1)**2).\nAnswer: -102195 + 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*c = c + 16, -1 = p + 3*c. Let m = p + 0. Sort -2, -1, m.\nAnswer: m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7960714 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 57*x**3 - x**2 + 2*x - 2. Let p be k(1). Let r be 20\/150 - p\/(-30). Is r*-403*(-3)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/24 (b) 4 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 6)*(-2 + n + 2) + (4 - 4 + 2)*(-2 + 1 + 8)*(10*n - 6*n - 3*n) to z*n + v and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k - 3*k + 2*k)*(0 - 1 + 5) + (5 - 20*k - 5)*(-3 - 6 + 3))*(1 + k**2 - 1).\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 581692434 and 606.\nAnswer: 581693040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619 is divided by 710?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 715762 and 2672?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + m)*(11*m**3 + 86*m - 86*m).\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/10 - 79\/790.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-4*o**4 + o**4 + 4*o**4) + 17*o**4 - 44*o**2 - 31*o**4 + 9*o**4 + 2*o**4 - 1 + 1.\nAnswer: -5*o**4 - 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*2\/4*-1. Let a be r\/10 + 1*-1. Let i be a - (231\/(-18))\/11. Sort -4, i, -2\/9 in ascending order.\nAnswer: -4, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u + 20. Let h be k(-8). Let a = -23 - h. Let n(l) = 2*l**2 - 6*l + 4. Is 12 a factor of n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -97?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (8 + -9 + 4 - 5 - -10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 20*m + 64 = 12*m. Let w(y) = -y - 1. Let j(l) = l**2 - 20*l + 2. Determine m*w(o) + j(o).\nAnswer: o**2 - 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 + s - 1. Determine u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**2 + 0*d - 5 - 2\/21*d**3. Factor q(c).\nAnswer: -2*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/140 + -1\/140. Let r = 27073\/6 - 4501. Let i = r - -40\/3. Find the common denominator of m and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2868021 millennia?\nAnswer: 3441.6252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*35\/(-50))\/(196\/(-280))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -103324*m**3*o*t - 64*m**3*o + 92*m**2 + 2*m + 3*o*t + o + 8 wrt t?\nAnswer: -103324*m**3*o + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*m = -6 - 2, -5*m + 19 = 2*n. What is the second biggest value in 0.4, -1\/2, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -0.19, -0.994 in decreasing order.\nAnswer: -0.19, -0.994, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 79. Suppose 9*t - 84 + n = 0. What is the lowest common multiple of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 74\/12 - 3\/18. Solve c = 3*c + f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from pwwwwwhwwwwwwwwwww.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, -1\/5, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) + -3*sqrt(5200))**2 - ((sqrt(52) - sqrt(13)) + -2 + sqrt(117)*2).\nAnswer: -7*sqrt(13) + 20802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.2 - 6.367.\nAnswer: -47.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3020045 (base 7) to base 4\nAnswer: 1113112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 151 = -4*y, -9*y + 110 = -6*y - 4*k. Solve -y*p + 25*p + 65 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 11. Let k be (-43)\/(-5) + (-6)\/(-15). Let b be i(k). Find s such that 6*s**2 - 2*s**2 - 2*s**2 - b*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100110111010101 + -101110110?\nAnswer: -10000100111101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**2. Let m(u) = 26*u**2 + 4*u + 8. Let j(k) = -77*k**2 - 11*k - 22. Let h(x) = 4*j(x) + 11*m(x). What is h(o(s))?\nAnswer: -1408*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -340138.39 rounded to the nearest one hundred?\nAnswer: -340100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {u: 1, y: 7, g: 1, v: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1819 and 11449?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/120 and 143\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157 in 0.23314, 2\/7, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.04 and 1.\nAnswer: -6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.48 minus -112?\nAnswer: 106.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 3*b**2 + b + 3. Let w(l) = l**3 - l**2 + l + 1. Suppose -2*s + 2*j + 6 = -3*s, 0 = 5*s + 3*j + 2. Let v(d) = s*w(d) - y(d). Give v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*s = -h + 14, -3*h + 28 = 5*s. What is the smallest common multiple of h and 2*1\/(-2) - -21?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 5, -4, -15, -28, -43?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 - a - 4. Let t = 32 + -29. Suppose -5*n + 29 = 3*r, 0 = t*r - 0*n + 4*n - 25. Suppose r*h + 9 = -c, -c = -6*c. Calculate q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13201*m + 2024*m - 1569*m.\nAnswer: -12746*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -69123 and -69142 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 7*t - 6. Let w be c(-8). Suppose w*y - 5*n + 4 = 33, -24 = -2*y + 4*n. Solve 6*o = y*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, -0.4, -4, 12\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-60) - (-3)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2681604, 2681603, 2681602, 2681601, 2681600, 2681599?\nAnswer: 2681598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, -11, -3.\nAnswer: -11, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754642 is divided by 159369?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 0. Sort q, 4, 0 in descending order.\nAnswer: q, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 60 = 28*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:45 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15966, -15964, -15962, -15960, -15958, -15956?\nAnswer: -15954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2936005, -11744119, -26424311, -46976581?\n\"Answer: -2936039*p**2 + 3*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 66?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 180, 285, 396?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 + 0*j**2 - 2\/3*j**4 + 74*j - 2\/3*j**3 - 1\/5*j**5. Solve x(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.0079.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from {f: 1, d: 2, x: 8, t: 4, c: 4}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m - 800. Let v = m - 57. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9032710 is divided by 206?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 22*y + 18. Let h be x(-17). Let p = 71 + h. Let f = -4 - -14. Solve p = -3*m + f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13041 + -10?\nAnswer: 13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22756, -22307, -21856, -21403, -20948?\nAnswer: -20491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:46 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 37621562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmpyy. Give prob of picking 1 p and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/78876 and -83\/6323226.\nAnswer: 37939356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(1539)*-2 - sqrt(1539)) + 0))**2 - -2*((sqrt(152) - 1*(2*sqrt(152) + sqrt(152)))\/(sqrt(8) + (sqrt(64)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 2592*sqrt(19) + 221798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 22 - 15 + 26*w.\nAnswer: 26*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -84. Suppose n = -p - 28 + 18. Let z be 12\/p*10\/(-3). Solve 0 = -z*b - 4*r, 4*b + b - 40 = 3*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 163*b - 201*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -1\/4, 4\/5, -64837\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 - y + 3. Let k(v) = 2*v**3 + v**2 + v - 7. Let l(o) = 6*k(o) + 13*m(o). Let d(q) = -q - 12. Let x be d(-6). Give l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(39290\/(-13096) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3 - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88226 - 88226 + 10*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**2 + 10028*n\/3 - 1488.\nAnswer: 4*(n + 279)*(9*n - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579439.\nAnswer: 7, 23, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*x + 32, -3*b = -5*x - 4 - 1. Let c = b + 5. Solve 3*n + c*p + 12 = p, -4 = n - 2*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 55, 132, 241?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 275\/(-1100)*(-4)\/(-18)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - j - 1. Let a be c(-1). Let v(h) = 6*h - a*h + 0 - 4. Let p be v(-9). Are p and -22 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 214*q - 65540 = 216*q, 2*b - 65510 = -3*q. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -1. Suppose 24 = -2*i - 5*h, -4*i + 2*h = 3*h + 12. Let y = b - i. Solve -y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12522, 12520, 12518, 12516?\nAnswer: 12514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17194269 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*f + 550*f = 64 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 2089 - 2023 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 + 9*z - 12. Let p(g) = 7*g**2 + 5*g - 7. What is 3*f(q) - 5*p(q)?\nAnswer: 7*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-12 + (5 - -2)) - 4 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 11.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/15 - 2*z**4\/3 - 10*z**3\/3 + 9*z**2 - 23*z. Let q(d) be the first derivative of l(d). Factor q(x).\nAnswer: 4*(x - 5)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8816.4 and 0.8.\nAnswer: -8815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 189 - 599. Calculate the common denominator of k\/72*1 + (-2)\/(-16) and 11\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*n)*(1 - 4 + 0)*(-64*n**3 + 298*n**2 - 298*n**2).\nAnswer: 576*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.72105 tonnes in milligrams?\nAnswer: 45721050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (11 - (4 - -1 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 40 = 43*h - 47*h, -8*i = -4*h + 68 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19423986 is divided by 930.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3. Let s be h(0). Find the first derivative of 20 - 143*r**2 - s - 24 wrt r.\nAnswer: -286*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 60*d**2 - 2755*d - 12050. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -157652\/1401 less than -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83077, 83312, 83553, 83800, 84053?\nAnswer: 84312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2552 divide 395366248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 5. Let h be y(-5). Let v be ((-2)\/8)\/(1\/4). Let a = v - -5. Put h, -2, a in increasing order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2. Let z be 3*(-5)\/(-1) - 1. Suppose 4*f + z = -5*d + 2, -d - 4 = 0. Let c(k) = f*k - k - k - k. Determine y(c(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -99. Suppose -749 + 715 = -x - 3*d, 32 = x + 5*d. Is x <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + -2 + sqrt(1053))**2 + 1.\nAnswer: -90*sqrt(13) + 1079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -1\/30*f**5 + 0 - 1\/40*f**6 + 1\/12*f**4 + 0*f + 1\/6*f**3 - 45*f**2. Determine x(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 8 + 3 - 4166*g**3 - 5 - 14 + 26 in the form b*g + t + s*g**3 + y*g**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1603*h**4 + 4*h**3 + 2850*h - 58125299?\nAnswer: 6412*h**3 + 12*h**2 + 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2\/2 - 54069*y\/2 - 29436885 = 0?\nAnswer: -1030, 19053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79993837 and 25.\nAnswer: 79993862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*7\/7*(10\/(-4) + -9 + 13)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755802 is divided by 251932.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = 5*p - 5, 2*p = u + 4. Let q(n) = p*n + n + n**2 + 6 + n. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:10 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 14*q - 10. Let v be a(-13). Solve -4*p - v = 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9262, 20787, 34570, 50611, 68910, 89467?\nAnswer: 112282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3*t - t**2 + 28 - 1 - 3*t**3 as a*t**2 + c + i*t**3 + l*t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112101012002 (base 3) in base 4?\nAnswer: 11020211033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/6*((-2)\/(-12) + (-9)\/198)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267 - -848. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Let b(p) = p**2 + 2*p - 4. Let a be b(u). Solve -3 = a*s - 5*q, -s + 10 = -5*s - 2*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2824*m + 30485 - 3985 = -29980 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 2*n)*(2*n + 2*n**3 - 2*n) + (-4*n**3 - n**3 + n**3)*(4*n - 3*n + n) - 68*n**3 - 25*n**4 + 68*n**3 - 2 - 2*n**4 + 2.\nAnswer: -37*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124407 is divided by 83?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 - 69*d**4\/7 - 81*d**3\/7 - 39*d**2\/7 - 6*d\/7 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574 and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-6)*1). Let w = -3 + z. Suppose -4*r + 22 - 2 = w. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 3*w**2 - 2*w. Let v be 6\/(-15) - 2\/(-5). Suppose -3*l + v*l = 6. Calculate i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 3392050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 1. Let z be b(2). Let n be 4\/10 + (-198)\/z. Suppose 2*c + n = 7*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y - 81. What is the smallest common multiple of w(8) and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584096 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24713.\nAnswer: 13, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3733*i**3 - 2 + 3677*i**3 - 7453*i**3.\nAnswer: -43*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1022?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-7 - -1 - -6). Let n(r) = -2*r**2 - 5*r. Let y(p) = -p. Determine q*n(h) + 6*y(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - (17 - 9) - 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -759360814*p**3 - 54938570*p**2 - 5*p wrt p.\nAnswer: -4556164884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95288)\/(-4472) + 4\/(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16688832 a multiple of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -240.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (512\/16 - 29)*2\/(-9)*-3*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.67 + -12.3. Let o = p - -29.63. Let s = -29.48 + o. Round s to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(92193 - 276*m**2 - 92193) in the form o*m**2 + n*m + g and give o.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183 = 616*w + 13833 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.05 - 0.05. What is the smallest value in j, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Suppose -x + 6 = i. Let y(z) = -2*z**2 + 6*z**2 - x*z**2. Let k(c) = 4*c**2. Calculate y(k(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 10\/8)\/(-17 - -20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**2*v**3 - 12*i**2*v - 3*i*v - 7*v**3 + 2*v wrt v?\nAnswer: 36*i**2*v - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863598412?\nAnswer: 2, 13, 17, 89, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1448, 2907, 4380, 5873, 7392, 8943, 10532, 12165?\n\"Answer: x**3 + x**2 + 1449*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204931*h**3 - 97*h**2 - 2*h - 112167993 wrt h.\nAnswer: -614793*h**2 - 194*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c + 49 + 35 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/460*(-10)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -664b17 - 6?\nAnswer: -664b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c3d21 (base 16) to base 3.\nAnswer: 12110022000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, n - 12 = -3*f + 6. Suppose -f = -11*p + 5. Let a = 3 + -1. Solve a*i + p = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 947 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 40*n**2 + 83*n + 264. Let y be j(-38). Which is the smallest value? (a) -4 (b) -5 (c) 2\/7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76)*3)\/(sqrt(20)\/((sqrt(20) - sqrt(5)) + sqrt(5))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.9 - -84.9. Which is the biggest value? (a) v (b) -0.2 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 0.0354, -4, -816?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*t - 9599*n + 9601*n, -2*t - 10*n + 5*n - 91 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127862\/1035 - 1112\/9. Let v be (1*-1)\/3*-3. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15304.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*s = -7, -8*s - 1 = 4*a - 5*s. Suppose -4*c - 4*d = -60, -3*d = -c - a*d + 19. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*-1*6*210\/(-1764).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*b + 6, -s - 8 = b - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, v: 1, k: 1, o: 5, a: 4}. What is prob of sequence qov?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34223 - -34227. Let o = -209171\/7 + 29803. Let p = o - -78. Which is the second smallest value? (a) 0.4 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9623 = o - 2*s - 9610, -128 = -32*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x + 9*x + 9 - 6*x + 28*x.\nAnswer: 62*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 167?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, -1.437, 0.2 in descending order.\nAnswer: 270, 0.2, -1.437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.81 + -52.\nAnswer: -233.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171702.389869 + -171706. Let z = h + -0.090081. Let n = z - -3.7. What is n rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/3))**(2\/9)*(t*t**(-1)*t)**(-2\/3))\/((t\/((t*(t\/t**(-2\/7))\/t)\/t))**(5\/12))**(-2\/9) assuming t is positive.\nAnswer: t**(-199\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16860 and 5.748.\nAnswer: 96911.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*y - 5*y**4 - 77*y + 9 + 4*y**4 as x*y**4 + s*y**2 + r*y**3 + g*y + k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1249*j + 3*p + 141552 = 1252*j, 5*p = j - 47164. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grt when three letters picked without replacement from rrmrmrgimrmrirtgt?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 6372.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68741*b*v**2 + 171*v**2 - v + 84 wrt b?\nAnswer: 68741*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -6*f + 2*f. Put f, -341, -4, 4, 0 in decreasing order.\nAnswer: 4, 0, f, -4, -341","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -815843 + 105?\nAnswer: -815738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 18*d**2 - 5*d - 8. Let v be u(-9). Let l = -37 + v. Solve 0 = -i - l + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5441 + 5442. Let n(t) = -7 + t + 1 + 5. Let g(y) = -7*y + 7. Determine c*g(u) + 6*n(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33983614 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + w)*(2 - 427*w + 519*w - 2).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:24 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (183\/12)\/(611\/752) + -18.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25984)\/(-368))\/(-7) + (-2)\/(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-10)*-12)\/(18\/160*204\/(-153))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2\/25 (c) 3\/10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*d + 47*d - 6. Differentiate -j**d + 1175 + 18*j**3 + j**2 - 1209 with respect to j.\nAnswer: 51*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/12 + (-14)\/4. Let h(p) = -p**3 - 3*p**2. Let j be h(x). Which is the closest to j? (a) 2\/11 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 42*a + 4*a**3 + 110*a + 32*a.\nAnswer: 4*a**3 + 98*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 2085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(30\/4))\/((-35)\/25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723024 divided by 40168.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 59*g**2 + g + 1. Let t be h(-1). Suppose 0 = 4*u - 57 - t. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140209833 to the nearest integer?\nAnswer: 11841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -24.6. Put 1.3, i, -4 in decreasing order.\nAnswer: 1.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*i - 591*i - 1886 = -296*i + 694 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 2*d**2 + 4. Give c(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19793312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 18*z + 4. Let v be b(3). Let x(y) = y**3 + 2*y**2 - 83*y + 57. Let l be x(-10). What is the highest common factor of l and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -319082 or -319084?\nAnswer: -319082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 1560 = 440. What is the remainder when k is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 16. Let m = 16 + 22. Calculate the remainder when m is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2592 = 418*i - 436*i. Calculate the greatest common divisor of i and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 4*p - 3. Let u be (3\/(-9))\/((-1)\/9). Let h be l(u). Suppose 5*k + 1 - 6 = h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -32 (b) 4 (c) -34256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/9)\/((-2)\/(-6)). Let o = 353512.867 - 353513. Which is greater: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(4\/11))))\/((m**(1\/4)\/m)\/m))\/((m*m**(-3))\/(m**(2\/5)\/m)) assuming m is positive.\nAnswer: m**(993\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:16 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - a**3 + 2*a**3 + (0*a + 4*a - 2*a)*(-a**2 + a**2 + 2*a**2) + 33*a**3 - 17*a**3 + 11*a**3.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from {k: 1, n: 3, z: 4, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 618 = -y - 3*t, 0 = 2*y - 3*t - 414. Suppose y + 216 = 7*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5\/3 - 2680*q**4\/3 + 21632*q**3\/3 - 14464*q**2.\nAnswer: -4*q**2*(q - 4)**2*(q + 678)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5663, 11387, 17117, 22853, 28595, 34343, 40097?\nAnswer: 45857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 - 3*n + 10. Let u(d) = -11*d**2 - 4*d + 13. Let l(k) = -3*h(k) + 2*u(k). Does 12 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*b - 5*b. Let m be (-54524)\/(-6023) - 2\/38. Solve m*l - 13*l = -b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 14 = -3. Let h = -22 + 20. Let w(c) = 2*c**2 - 2*c - 3. Let m be w(h). Solve -4*v + u = v - 4*i, 3*v + 4*i = -m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10 + (-47205)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 2918*c**3 - c**2 + c**4 - 2924*c**3 - 10*c**2 as q*c + j + m*c**2 + k*c**3 + d*c**4 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*t + 6. Does 15 divide ((-20)\/25)\/(t\/(-110))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/104 and -3\/4966.\nAnswer: 19864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -2*r. Solve -4*z + 4*f = -12, r = -3*z - 0*z + f - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 22 = 3*o, -3*z = -3*o + 2 + 1. Let y(v) = v - 14. Let f be y(10). Let m = f - o. Solve m = -0*x + 4*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*w - 52, 0*w = -3*p + 2*w - 142. Let h = p + 49. Let x(l) = 2*l**3 - l**2 + 2*l - 1. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484501?\nAnswer: 73, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (62 - 0) + 1 + 3. Suppose q = o + 64. Factor -1\/3*t**4 + t - 1\/3*t**o - t**3 + 2\/3.\nAnswer: -(t - 1)*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 + 3 + 0) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2 + 0 - 10 - i**3 + 2 + 0*i**3 - 3*i. What are the prime factors of k(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.035, -3.3, 5, -1\/22, -2\/5, 4?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {i: 1, g: 2, q: 2, o: 1, p: 1, u: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3000 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 18. Let a = p + 7. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, 2\/25, -1126, 2 in descending order.\nAnswer: 3, 2, 0.2, 2\/25, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 13070987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 34336256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.401 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41265 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 725\/3*g**2 - 1445\/6*g**3 + 0*g + 0 - 5\/6*g**4.\nAnswer: -5*g**2*(g - 1)*(g + 290)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*g + 4*v, g + 2*v + 11 = 14. Let d be (g\/2)\/((-11)\/(-88)). Solve d = 3*x + 45 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0 (c) 18 (d) 3\/5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 12*p**2 - 13*p - 8. What is the remainder when 53 is divided by y(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4 + 2 + (-30)\/20. Suppose 2*g = 20 - l. Let o(j) = -4*j + 3*j + 8 + 3. Give o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 282 = 4*z - 8*z, n - 4*z + 50 = 0. Let o = -30 - n. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110220 (base 4) to base 11\nAnswer: aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/5775 and 149\/6930.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1114 + 1154 = 0. Solve -1 = -d*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2*(2 - 0) + -3. Suppose -r - k + 75 = f, k + 265 = 3*r - 4*k. What is the highest common divisor of 96 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 16*r - 105.\nAnswer: (r - 21)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2051 = 4*b, p - 2*b - b = -2016. Let q = p - -10218\/5. Calculate the common denominator of -74\/3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -16. Suppose -a + 5*q = g, -4*q + 1 = 3*a - 6. Sort -2, a, -1, -4.\nAnswer: -4, -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 61957.\nAnswer: -309785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:18 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2 - (sqrt(156)\/sqrt(3))\/sqrt(4))**2*-2.\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228707 is divided by 3462.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34155 and 1012.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose 0 = -l + 6*h - 4*h + 9, 3*l = 4*h + 19. Let i(d) = -d + 3. Let y be i(0). Solve r = -o + l + y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 21 - 7. Let s be 16 - l - (-8 + 12). What is the second derivative of -259 + s*o**2 + 259 - 12*o wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2*q**3 + 2*q**4 + 2*q**3) + (-3*q**4 + 2*q**4 - q**4)*(-5 + 2 + 0) + (q**3 - 3*q + 3*q)*(-1 + 1 - 6*q) + 0*q**3 + 0*q**3 - 2*q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20232\/7290 - (-28)\/1134.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-15))**(5\/4))**(-14\/9) assuming u is positive.\nAnswer: u**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 717019 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 - 8*c + 2. Let s be w(8). Let l be s\/9 - 160\/(-9). Suppose -2*y = 4*r + y - 13, -4*r = -2*y - l. Solve 0*t = t + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -7, -1\/9, -64, 0.3, 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + -82 - (52 + -55).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*-5)\/(-1*sqrt(891)).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/21))**(-20))**(-49) assuming z is positive.\nAnswer: z**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*(n*((n*n\/(n*n**(5\/6)))\/n)\/n)\/n*n))\/((n*(n\/(n\/(n\/n**14)*n*n))\/n*n)\/n))\/((n*n**(4\/7)*n)\/((n\/(n*n\/(n**(-5\/3)\/n*n)))\/n)) assuming n is positive.\nAnswer: n**(361\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84418, 168836, 253254, 337672, 422090?\n\"Answer: 84418*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000 - 1?\nAnswer: 100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -873 or -1249610\/1431?\nAnswer: -1249610\/1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -198, -206, -212, -210, -194, -158, -96?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*b - 104, -47 = 5*b + t + 122. Let r(n) = -6*n**3 - 6*n**2 + 1. Let o(k) = k**3 + k**2. Calculate b*o(c) - 6*r(c).\nAnswer: 2*c**3 + 2*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*2 - -11. Suppose -2*q = -3*r + 8*r - a, -4*r + 18 = 3*q. Is q\/5*200\/15 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500407493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 12. Let s be 47\/((-2)\/6*j). What is the remainder when 2\/(-4 - (-190)\/s) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9859.319 rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6, 0.6146 in decreasing order.\nAnswer: 0.6146, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260291 is divided by 85?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44698693.\nAnswer: 13, 557, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52189 - -52189.0065166. Round c to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.317250754 to five decimal places.\nAnswer: 0.31725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-15\/4)*t)\/t)\/t**47)\/(t\/(t**39*t))**28 assuming t is positive.\nAnswer: t**(4165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -216 + 731760.9\nAnswer: 731544.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/78*(-7 - -10). What is the biggest value in -1, 37, n?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-18 + 8) - 11 - 8\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23852, 47326, 70802, 94280, 117760, 141242, 164726?\nAnswer: 188212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*n - 4*n + 4 = 0, 20 = 2*f + n. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564384 or 564383?\nAnswer: 564383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 608, 2052, 4848, 9440, 16272, 25788?\nAnswer: 38432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - -150214?\nAnswer: 150131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25246 divided by 560\nAnswer: 12623\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Suppose n*w - w - 4*g = 12, -5*g + 30 = 4*w. Let q(y) = 3*y**2 - 73*y + 29. Let s be q(24). Solve t + x - 3*x + 1 = 0, -4*x + s = -w*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 5\/10)*96. Suppose k = 4*a - 284. Calculate the remainder when a is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from oioooiihhhio.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 19*t + 124. Let k be q(6). Sort -5, 1, k, 2 in decreasing order.\nAnswer: k, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-40))\/(-26 + 988\/40)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.3 (c) -1 (d) 0.0009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -6. Let j(t) = -t**2 + 11. Let i(q) = 1. Let h(r) = y*i(r) - 2*j(r). Let f(m) = -2*m. Determine h(f(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-171) - -82*37\/(-13653)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.22338nm?\nAnswer: 0.000000022338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4282508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 159*q + 11. Let j(m) = -4*m - 1. What is 4*j(v) + u(v)?\nAnswer: 143*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1518836 and 54164?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 54*k + 283. Calculate i(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*d - 2*d + 6, 0 = r + 4*d + 17. What is the common denominator of r\/15 + 386\/(-30) and -48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 7*k**2)*(-504 + 504 + 16*k) + (3*k + k**2 - 3*k)*(-3*k + 6*k - 4*k).\nAnswer: -113*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.44 (b) -3 (c) 0.2 (d) -17\/6 (e) 0.3 (f) -23\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 14*b**2 - 7*b + 0 - 1\/12*b**4 + 23\/3*b**3. Is r(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-600)\/105) + ((-348)\/(-14))\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 1423780*u\/7 + 253393686050\/7.\nAnswer: 2*(u + 355945)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**2\/2 - i - 9. Let m be q(4). Solve -m*s - 6 = -v - s, -2*v - s = -7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.2 + 67878166380.\nAnswer: 67878166260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 6. Suppose -7*g + 18 = 2*g. Let q(i) = -1. Let u(f) = 4. Let k(v) = g*u(v) + 7*q(v). What is -6*k(y) - o(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 20, 31, 44, 59, 76, 95?\n\"Answer: c**2 + 6*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -599.65*-0.3\nAnswer: 179.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -439 - -444 - (29 + 0)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*2*(-10)\/(-6)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 209901.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 6 = -52. Solve -4*d - 20 = f + g*f, 0 = -5*d - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -16. Suppose -k + 4 = -o. Solve b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/((-42)\/2622). Let q = i - 35. Calculate the common denominator of q and 95\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = 5*f. Suppose -2*r + 8 = -f. Suppose 0 = -r*j + 10 + 20. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 163 = -0*f + 2*h, 2*h = -3*f + 505. Let p(u) = 175*u + 1 + 0 - f*u - u**2 - 4. Let y = 0 + 2. What is p(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d. Suppose 22 = -a + 5*c, -5*a - 4*c + 35 = -0*a. Suppose 0 = o - 0*p - 2*p - 8, 4*p + 28 = 5*o. Solve d = y - a*y + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1924 - -1923.4. Which is the nearest to k? (a) 0.1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from lxxnllxlnlxnx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - 1) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/413 and (19 - 90\/5) + (-33)\/59.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 3)*(-5 + 2 + 1) + 2 - 1 - 16)*(5*q - 5*q - 2*q).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 - 5\/12*c**4 + 0*c**2 + 0*c**3 - 3*c. Let b(k) = -2*k. Give g(b(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040098 rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 10\/1177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 1331 + 3983 = 0. Calculate the least common multiple of 156 and f.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from {r: 3, w: 3, g: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(5\/1 - (3 + 0)). Let r(h) be the second derivative of 2*h + 0*h**2 + 0 + 1\/12*h**4 + g*h**3. What is the second derivative of r(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 240?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, -80, -603, -1110, -1595, -2052, -2475?\nAnswer: -2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3635, -3634, -3633, -3632, -3631?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 698824357194 - 4.\nAnswer: 698824357190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h)*(-2 + 61*h + 0 - 60*h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 6*q**2 - 9*q**2 - 6 + (-2 + 3 - 2)*(4*q**2 + 3*q**2 - 4*q**2).\nAnswer: -2*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -4951*g**4\/12 + 4721*g**2\/2 - 28*g. Differentiate t(h) with respect to h.\nAnswer: -9902*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439527 less than -440992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.1 (c) -8 (d) -13410\/299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3 + 1 - 4 - 2*h**2. Suppose 3*i + v - 4 = 0, 2*i - 3*v + 7*v = -14. Let w(r) = 1 + i - 2*r**2 - 4. What is w(y(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 5, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78624 and 31668?\nAnswer: 2280096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1730.513998 and -0.155879.\nAnswer: 1730.358119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74536576?\nAnswer: 2, 582317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 48217.9506\nAnswer: 48226.9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167, 158, 139, 104, 47, -38, -157, -316?\n\"Answer: -i**3 + i**2 - 5*i + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 8. Let o(w) = 6*w - 9. Let d(i) = -i. Let s(f) = -9*d(f) - o(f). Let h(r) = -4*n(r) + 3*s(r). What is h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 2090*s - 5734*s - 56.\nAnswer: -7824*s + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2 + v + 8*v**2 - 5*v**2 + v**2. What are the prime factors of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 24*f**5\/5 + 23*f**2\/2 + 17. What is the second derivative of n(s) wrt s?\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 14 - (3 + -3 - -22)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 845 and 10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 604866\/65 or 9305?\nAnswer: 9305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 24. Let x(u) = 6*u**2 + 118*u - 161. Let q be x(-21). Solve q = -5*r - i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 - -187. Suppose 0 = -o - 4*o + 295. Let c = o + q. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1\/12 (c) 1\/215 (d) 0.4 (e) -16 (f) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/7*h**2 - 2\/7*h**3 + 638\/7*h + 204.\nAnswer: -2*(h - 34)*(h + 3)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1061\/109538 or 1?\nAnswer: 1061\/109538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 72*v - 224.\nAnswer: -4*(v - 14)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4140040 (base 5) to base 11.\nAnswer: -47220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15010, 15001, 14992, 14983, 14974?\n\"Answer: -9*k + 15019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 less than 2.195?\nAnswer: -129.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*u + 4, -2*u = 4*h + 7 - 3. Suppose -2*n + 6*n = h. Solve -20 = -4*w, 3*c + 2*w - 22 = -n*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.200899*0.0024.\nAnswer: 0.0004821576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3485 - 2260. What is the greatest common divisor of 392 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594145456?\nAnswer: 2, 37134091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 3*p + 8, -4*o - 4*p = 0. Let h be (-60)\/(-15) - (0 - o). Solve 4*q - h*q = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719440?\nAnswer: 2, 5, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -392071 (base 13) to base 2\nAnswer: -101001111110010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1459 (base 12) in base 11?\nAnswer: -1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/29*2\/18*3)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f + 0 - 4 - 6*f**3 + 9*f**3 + 3*f**4 + 0 wrt f.\nAnswer: 36*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(136)*-2 + sqrt(136)))\/(sqrt(72) + (sqrt(72) - (sqrt(72) - -2*sqrt(72)))*-1).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanjqyqeaaye. Give prob of sequence jae.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 204\/(-60) + (-4)\/(-10) - (-3 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (4 + -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 228223892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {k: 3, q: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 10 = h, -5*u + 17 = -3*h - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**4 - 36 + 36 - 3*n wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(7\/5)*d))\/d)\/((d**(-7)*d)\/d)*((d\/d**(-2\/5))\/d)**(-15\/8) assuming d is positive.\nAnswer: d**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/23 + (-20)\/12*3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/188726 and 119\/18.\nAnswer: 1698534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 31*a**2 - 47*a**2 - 2 + 168*a**2 - 144*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/98*4\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -4 + 3 - -39) + 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 34*s + 20*s + 4*s - 95*s**2.\nAnswer: -95*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2133405*s**2 + 14*s + 126442?\nAnswer: 4266810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11405 by -2281.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1416, 2812, 4204, 5592, 6976, 8356, 9732?\n\"Answer: -2*h**2 + 1402*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 2. Calculate p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1784 - 4988 = 12*r. Let t = -8 - r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -15*f - 2, 3*s + 3*f - 57 = 0. Find the common denominator of (-6)\/(-192)*s\/(-3) and -5\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*24\/80)\/((-3)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 165 = 5*a - 8*t, 4*a = -5*t + 129. Calculate the greatest common factor of a and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004181 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2100?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 6*c)*((4 - 3 - 2)*(-2 + 2 - 1) - 2 - 2 + 2)*(10 - 6 - 2)*(10 - 3 + 0)*(2 - 3 + 2).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 172?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382\/7 - -55. Let r = 5.4 + -5. Let t = r + -0.9. What is the biggest value in w, t, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2846411 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by -168.\nAnswer: -125\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111174.\nAnswer: 2, 3, 7, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6.102, 0, -4\/7, -4 in descending order.\nAnswer: 6.102, 0, -4\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 19.7663902?\nAnswer: -19.8663902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4040 + -5?\nAnswer: -4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/4)\/((-5)\/(-20)). Suppose o*q - 16*q + 20 = 0. Suppose -q*w + 9*w = 10. Calculate the smallest common multiple of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335 + -60. Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*h + 6. What is the least common multiple of h and -18*((-8)\/(-6) + -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44415 and 940.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 2 + (-4*(sqrt(272) + 0) + 4 + 2*sqrt(272))*3)**2.\nAnswer: -720*sqrt(17) + 10017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p)**17)**(-8\/9) assuming p is positive.\nAnswer: p**(-272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8727.129094 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from tcctcttcccccccccclct?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(((-57232)\/13440)\/(-511))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36305364, -72610727, -108916090, -145221453?\nAnswer: -181526816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15945363*t**3*y - 161*t**2 + 29*t*y - 65*t wrt t?\nAnswer: 95672178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -600 divided by -10\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16637 + -16642. Suppose 0*u = 2*u + 6. What is the second biggest value in 1, u, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68647.\nAnswer: 19, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16 - 15) + (0 - (-294 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 10 = 2*c - 59 - 23, 5*c - z - 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 2634?\nAnswer: -2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let k(d) = -3*d + 18. Let q be k(8). Let s = -1021\/22 + 538\/11. Which is the nearest to i? (a) s (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946504877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 + 5*i**3\/2 + 4*i**2 + 2*i.\nAnswer: i*(i + 1)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(sqrt(567)*-3))\/(-6*sqrt(20)\/(sqrt(4) + sqrt(100) + sqrt(4))).\nAnswer: 7*sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817*x + 816*x = -70. Let l = x - -2. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 17*o + 10*o + 7*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 > -16966\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 44*o - 2153. Calculate the remainder when 194 is divided by n(50).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -1001220122121?\nAnswer: -1001220120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 683620 and 22876?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*m = -116, 2*x - 232 = 4*m + m. Let d = 520 + x. Let u(q) = -636 + 6*q**2 + d. Let h(p) = 4*p**2. Determine u(h(n)).\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 15*j**2 + 15*j + 9. Calculate k(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/86 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13384790?\nAnswer: 2, 5, 1338479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5378*h + 157120. Give f(-29).\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 4944247?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3003207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 201, 460, 825, 1296, 1873?\nAnswer: 2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p + 3063 = -227 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v. Suppose 5*m = -5, -3*i - m + 4*m = v. Which is smaller: i or 3\/10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 372.64284 minutes?\nAnswer: 0.25877975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9191528ns to minutes.\nAnswer: 0.00000000003198588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29262295.\nAnswer: 5, 31, 71, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.5. Let l = 2 + -2. Which is the closest to l? (a) x (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/35 in 4\/9, 4, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2 (b) 5 (c) 1 (d) -4 (e) -1\/72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*s = -0*o - 36, 0 = 4*s - 20. Suppose o*n - 75 = 3*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45541*p**2*s*x**2 + p**2*s - 31*p*s*x**2 + p*x - 149*s wrt p?\nAnswer: 91082*s*x**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 - j - 4. Let s be t(-6). Let o be s\/7 + -2*(-25)\/560. Which is the fourth biggest value? (a) o (b) -2 (c) 1 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -785\/2 - -401. Let b = 2.7 + -1.7. Which is greater: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28487164 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 2*h. Let m be i(-3). Suppose -m = -22*c + 16*c. Factor 4*f**2 + 10*f**3 + 2*f**3 - 24*f**4 - 10*f**4 + 46*f**c + 4*f**5.\nAnswer: 4*f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0856 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/2 - 75*d**3 - 343. Find the third derivative of c(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562405541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 17*h + 26. Let r be f(2). Let s(a) = -47*a + 315. Let o be s(6). Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29646 + -20198. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 3)*((-6)\/4)\/3. Let u = 648 + -651. What is the third biggest value in -4, n, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 342*y**3*z**2 + 1073*y**3 - 2*z**3 wrt z.\nAnswer: 684*y**3*z - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60425, -55056, -49697, -44354, -39033, -33740?\n\"Answer: -x**3 + x**2 + 5373*x - 65798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 4:08 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 0*a**2 + 0*a**2)*(8 + 1 + 4)*(1 - 1 + 2)*(0 + 0 + 3*a) in the form k*a**2 + f*a + v + g*a**3 and give g.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -290. Let w = r - 152. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25183 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4 + 16. Suppose x*y = -5*v + 41, -5*y + 15 = -0*v - v. Solve -w + v*k = -0*k - 12, -w + 10 = -4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 30. Suppose -3*v = 2*j - 9, -h = v + 2. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 452\/(-1017)*(-1)\/6*-1.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 - 5*p - 2. Let b be y(-3). Let z(n) = -n**2 - n + 5. Determine z(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*d + 108*d = -16788. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 85632.8 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (341\/(-6355))\/(6\/45*15\/(-10)). Which is the smallest value? (a) -0.2 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 4331605*z + 12994770.\nAnswer: 5*(z - 866318)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 16. Let n be d(2). What is the greatest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.132743ml to litres.\nAnswer: 0.000132743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00852 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y + 1\/120*y**6 + 0 - 14*y**2 - 1\/24*y**4 + 0*y**5 - 2\/3*y**3. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Let x(c) = -13*c**2 + 5*c. Let j(o) be the second derivative of 19*o**4\/12 - 7*o**3\/6 + 5*o. Let i(y) = -5*j(y) - 7*x(y). Calculate i(a(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v + 15. Let o be (1 - 2) + 0\/v. Let d = 344\/3 + -115. What is the nearest to d in o, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 + 246. Solve -3*a + 20 = t*s, 2*a - 10 = -3*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 42*a + 128. Calculate the remainder when (-5 - -2) + 1 + 138 is divided by v(-23).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -8)*((-14)\/6 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -97 + 6*y - 1\/2*y**2. Let g(k) = -3*k**2. Calculate g(o(n)).\nAnswer: -3*n**2 + 36*n - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 + 32*a + 117. Calculate h(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 98, -4, 1 in descending order.\nAnswer: 98, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*o - 5, -3*o - 2*m = -m + 5. Let u(i) = -i + 11. Let c be u(-8). Let k = c - o. Solve k + 1 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 23570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 + (-55132)\/(-5907)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 604.7 - 605. Is 1\/4 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843230681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600340 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1710545447 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 14*z - 4. Determine d(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 41*y**2 + 1635*y + 733. Calculate j(66).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15684 minus 13.7503?\nAnswer: -13.59346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27201667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41347000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let q = 1.5 - s. Suppose 0 = -4*c - 2*w - 8, 2*c + 8 = w - 4. What is the second biggest value in q, -0.2, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3399, 6806, 10215, 13626, 17039?\nAnswer: 20454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022070 divided by 5495.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -301, -1263, -3199, -6433, -11289?\nAnswer: -18091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -23*c - 262. What is the units digit of (-7 - c)\/((-1)\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**4 + 1\/5*u**5 + 0*u**2 + 1\/5*u - 2\/5*u**3 + 0.\nAnswer: u*(u - 1)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75017675717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4*r + 11*r + 3. Does 12 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-6)*((-6)\/40)\/(117\/52)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2 + 0*n**6 - 31\/56*n**8 + 0*n**5 + 0*n**2 - 9*n + 0*n**3 + 0*n**7 + 19\/6*n**4. What is the third derivative of i(v) wrt v?\nAnswer: -3720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -154720927.\nAnswer: -154720927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*-1 - sqrt(3993) - sqrt(3993))\/(sqrt(33)\/sqrt(3)*-4).\nAnswer: 33*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*f - 360*f + 3517 + 10083 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*d + 3*r, 20 - 4 = -4*r. Solve d*q - 3 = -3*z + 3, -5*q - 20 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 - n + 1. Let u be d(1). Let j be 15\/10*8\/u. Suppose j*q + 107 = 3*k, -2*k + 4*k + 2*q = 68. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 2)*(-19 + 19 - 4*h).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 - 3*r + 5. Suppose w + 2 = 7. Let c = w + 0. Is 20 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*o - 0 - 5, 4*o + d = 25. Suppose m + 0*m = o. Let q be 115\/35 + 1 + -4*1. What is the smallest value in q, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -153, 4, 101527 in increasing order.\nAnswer: -153, -0.3, 4, 101527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2 - 12*c**2 + 3*c - 2*c + 4*c wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10890 and -119\/1914.\nAnswer: 315810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 13*z - 30 = 0. What is z?\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 65, 87, 123, 179, 261?\n\"Answer: b**3 - 2*b**2 + 13*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1919556 and 56124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007676099 to 7 dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -114 - 0\/((-7)\/(-7) + -2) - -12.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f + 5. Let x(j) = -11*j**2 + 242*j + 30. Give 6*u(k) - x(k).\nAnswer: 11*k**2 - 200*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -1885?\nAnswer: -7\/1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39497529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in minutes?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(52\/356) - -7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14152121227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q + 9. Let b(h) = h**3 - 7*h**2 + 3*h + 5. What is the remainder when a(4) is divided by b(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.153, 14, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605262352?\nAnswer: 2, 100328897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*p - 53*a + 57*a, -8*p + 5 = 5*a. Solve g = -p*q - 25, -4*g + 40 - 30 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -54, -4, -52, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*n*o**2*y**2 + 13*j*n*o**2 + 3*n*o**2 + 289*n*o*y**2 + 5*n*o*y - n*y + 2*o*y**2 wrt y?\nAnswer: -2*j*n*o**2 + 578*n*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164814.\nAnswer: 2, 3, 13, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302312133 + 31?\nAnswer: 302312204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 77 = 0. Suppose 0*b + v = 7*b. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 13*n**2 - 112*n + 22. Determine m(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 96, 227, 410, 645, 932?\n\"Answer: 26*x**2 + x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 11. Let g be o(-6). Suppose 6*f - f - 2*w = -g, f + 18 = -3*w. Which is bigger: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -116, 1, -3 in increasing order.\nAnswer: -116, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -8, -4*l + 5*y - 1259 - 2127 = 0. Let a = 849 + l. Factor 1\/4*d**3 + 0*d - 3\/4*d**2 + a.\nAnswer: d**2*(d - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -78 (c) 1\/3 (d) -2 (e) 15\/4 (f) 0.2 (g) 26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4\/9, -12899, -21.4, 4 in ascending order.\nAnswer: -12899, -21.4, -4\/9, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 * -5.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 110 + 8*t - 36 - 36.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -260609.\nAnswer: -1\/260609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*y + 2*k, 2*k - 4 = -2*k. Suppose -2*q - y*u + 5 = -u, -3*u = 3*q. Let d = -75 + 81. Solve -q*b - 2 = a, -2 - d = 4*a + 2*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g + 926. Let u be n(0). Let m = -203 + 395. Let y = u - m. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1*1 - (-72 + -15 - -51). Solve z + o = -x + 32, -41 = 4*z + 5*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*b + 606590 = -11026950. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/90 + 16872\/(-999).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 26*r. Let c(z) = 178698*z. Give j(c(n)).\nAnswer: 4646148*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -3 (c) 5 (d) 4 (e) 868 (f) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 151. Let i = 23.3 + -23.284. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9788)\/16*(3 - 51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q - 10*q + q)*(-2*q**2 + 2*q**2 + 3*q**2 + (q - 1 + 1)*(2 - 2 + 3*q)).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3029 (base 11) to base 16\nAnswer: -fb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*t**2 + 38000*n**2 - 11*n*t**2 + 122*t**2 - 3*t wrt t.\nAnswer: -2*n**2*t - 22*n*t + 244*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 475030722?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9196129897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9481445 is divided by 1053493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2, 3*i + 2706 = 3*k - 0*i. Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 160. Determine w(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/749 or -1?\nAnswer: 23\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.202 milligrams to grams.\nAnswer: 0.404202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 6. Let b be o(-4). Suppose w = -5*f - 26, 2*w + 2*w = b*f + 6. Let c be 1\/5*0 - 3\/1. Sort f, c, 7.\nAnswer: f, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 127005461 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1436*g - 193882. Determine o(-135).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 301*g**2 + 6. Let y(n) = 2*n**3 - 307*n**2 + 4. Calculate 4*o(d) - 5*y(d).\nAnswer: -2*d**3 + 331*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36736514 - 23496967. Let t = d + 9160453. What is t rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -55. Let j be ((-24)\/a)\/(12\/18). Suppose 0 = -3*t + j*m + 8415, -4*t + 3*m - 2*m = -11233. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 8*i. Suppose 5*k = -4*r + 308893, -i*r = 5*k - 116567 - 192329. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 30 - (-1 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 5822.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (22\/33)\/((-32)\/528)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/18 + (-498132565)\/(-1827) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/20)\/((105\/28)\/(-15)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 3*k - 2*k - 4*k - 2. Let h(r) = r + 1. Let w(z) = -z - 1. Let u(o) = 4*h(o) + 5*w(o). Determine 3*l(j) - 4*u(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3080608*f + 5362*f**2 + 3*f**3 - 3080608*f as l*f**2 + d*f**3 + x*f + w and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 0*w = -2*n - 107, 0 = -39220*w + 39218*w + 3*n + 128 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 15*h**3 + 4 + 1 - 5*h - 6*h**2 + 6*h. Let o be z(-7). What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -0.0109\nAnswer: 0.02616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60921, 60914, 60907, 60900, 60893, 60886?\nAnswer: 60879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*d + 35 = j, -4*d - 12 = 4*j. Let z be -1*(-63)\/35 + (-1)\/(-5). Put -4, j, z in decreasing order.\nAnswer: z, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-639))\/((-108)\/288*4)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/6184025 or 1?\nAnswer: -12\/6184025","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Divide -13228 by -4.\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 83. Let k be 1\/a + -1 + (-20)\/(-12). Suppose 0 - 1\/3*q + k*q**3 + 0*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10125 is divided by 289.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(152))\/sqrt(8) + -3.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 47 - 41 - 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -209*p**3 + p**2. Let g be i(-1). Calculate the common denominator of -26\/3 and 3\/5 - (-2324)\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + -1*(sqrt(77) - (sqrt(77) - 2*sqrt(77))) - (sqrt(77) + (-2*sqrt(77) - sqrt(77)))*-1)\/(4*sqrt(252)*-6 - sqrt(252)).\nAnswer: sqrt(11)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00128621 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 25530*o + 19601896.\nAnswer: -(o - 746)*(o + 26276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 59460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*v + 7, w - 3 = -3*v + 10. Let u(d) = 3*d**2 - 1. Let a be u(-1). Suppose 2*x - a*z = 14, z - 2*z = -v*x + 28. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -76*y + 2035. Is j(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 427447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13163496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3286 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26984, -26993, -27002, -27011?\n\"Answer: -9*k - 26975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -63\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddwqw. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16)*q**0*q assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75260 and 5936.\nAnswer: 2107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**4\/24 + 54*x**2. Let d(m) = 6*m**2 + 4*m. Let z(l) = -13*l**2 - 9*l. Let h(i) = 9*d(i) + 4*z(i). What is j(h(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16308 and 51120.\nAnswer: 23157360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 46*f**2 + 85*f + 9. Determine u(48).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, 147 in ascending order.\nAnswer: -4, -1\/7, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0) + (-17 - -21). Suppose -f*r + 855 = -5*z, -5*r + z + 293 + 562 = 0. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 173.2. Let d = m + 172.00208. Round d to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2870 and 8\/1382479?\nAnswer: 13824790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o - 0*o + 48. Solve 4*p - o*p = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 38 + 4)*(-3*c + 3*c - 2*c)*(5*c**3 - 3*c**3 - c**3).\nAnswer: 158*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:50 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -2\/17 (c) -19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -384, -355, -300, -219, -112, 21?\n\"Answer: 13*b**2 - 10*b - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1235?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + 3. Suppose -527 - 733 = 2*f. Let u be (-1*200)\/(s\/f). What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3 + 2 = 0. Suppose -2 - 3 = 5*v. Put 3, b, v in decreasing order.\nAnswer: 3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Find the third derivative of 2*j**2 + 3 + 0*j**f + 3*j**4 - 3 wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 17 = 5*w. Let q = -4 - w. What is the third derivative of 2*p**q - 16*p**3 - 8*p**3 + 16*p**3 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 2*w**2 - 4*w. Let d be i(-4). Suppose -x - 3*k - 18 = -0*x, -5*x = 3*k + 54. Let r = x - d. What is the remainder when 19 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4498*o + 4501*o, -3*o + 9 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9 + 570*j**2 + 392*j**2 - 375*j**2 + 3*j. Is v(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 517 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*s - 19 = -9*p, 3*s = 12. Let i(u) = p*u**2 + u**2 - 11*u**2. Let k(t) = -6*t. Determine i(k(x)).\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(637)*-1)**2*6.\nAnswer: -19107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 15*f**2 + 14*f - 5. Let l be k(-14). Let u be l + 3 + (1 - -16). Suppose u*n - 11*n = 0. Solve 3*w - j - 4*j + 11 = n, w - j = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-997488)\/(-96) + ((-3)\/(-6) + -3 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 12904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.7 - 27. Does s = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-112 + 313*s + 112) + (-6*s + 0*s + 2*s)*(2 - 10 - 11).\nAnswer: 702*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 7 = -7. Suppose 12 = 5*t - 4*i + 58, w = i - 4. Is t at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 29. Suppose -3*o = -6, 0 = 7*d - a*d - 5*o - 225. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a - 176. Let j be o(16). Solve -5*d + j = -0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 3*d - 19 + 37 + 31*d - 66*d + 39*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let b(s) = -7*s. Let f(m) = -b(m) + 5*y(m). Let k(r) = -3*r**2. Calculate k(f(n)).\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/(2\/36). Let j(o) = -1 - 3*o - 5*o + o + l*o. Let s(h) = h**2 + 43*h - 45. Let f be s(1). Let n(m) = -m. Calculate f*j(y) + 2*n(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c - 4. Let s(t) = -2*t**2 + 2*t - 7. Let v(f) = -5*o(f) + 3*s(f). Let m(u) = 2*u**3 + 3*u**2 - 2*u + 1. Give m(g) + 2*v(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -22 + 52 - 139*j + 77*j + 60*j**3 + 4*j**2 + 2*j**5 - 34*j**4 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/187*-15*10\/180.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -56, -18, 20, 58?\n\"Answer: 38*d - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 301437562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/20)\/(1\/8). Let k be z*(-1 + (-102)\/9). Suppose r - 9 = 3*j, -3*r + k + 18 = 4*j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 2 + (2 + 1 - 2)*(0 + 0 - 2))*(-5*n**4 + 2*n**4 + n + 0*n**4) to p*n + v*n**2 + u + f*n**4 + x*n**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(0 - 2 + 0) - 4 - 1 + 4 + 1 + 2 - 1)*(-2*s + s + 3*s)*(3 - 2*s - 3).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-900)\/(-200)*(-5 + (-445)\/(-45)). Let x = 45 + 461. Calculate the greatest common divisor of x and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 18. Let x be r(13). Which is smaller: x or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*u + 31 = -1041*u + 3*v, 0 = 5*u - 5*v + 55 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14377*j**2*w**6 + 969*j**2*w - 13*w**2 wrt w.\nAnswer: 1725240*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/4 of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.094 + 20.094. What is the third biggest value in n, -4, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**17*m**(-2\/21) assuming m is positive.\nAnswer: m**(355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, -1\/4, 4\/13, -2\/149.\nAnswer: -2.2, -1\/4, -2\/149, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3. Let u = -39 + 36. Let l(q) = -2*q**2 + 5. Let d(b) = u*l(b) - 5*a(b). Let c(x) = -32*x**2. Determine c(d(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77627 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 4 - (0 - -17). Suppose 3*o + 150 = 8*o. Let u = o + s. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 5. Suppose -8 = -44*p + 43*p. Let m(o) = -5*o - 7. Give p*v(f) - 5*m(f).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047709136.\nAnswer: 2, 65481821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497567 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463193 is divided by 231586.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 303 - 306. Let p = 1.9 - 2.1. Let s = p - 0.3. Put 5, j, 4, s in descending order.\nAnswer: 5, 4, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from nrrpfnfnwpwwwrwfpkrn.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2737.001625 + 2737. Round r to 5 decimal places.\nAnswer: -0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2, 4*v - 3 = -2*d + 1. Suppose -p + 3*j - 6 = d, 2*j - 18 = -3*p - j. Solve 0 = -2*g - p*f + 10, 2*g - 6 = -2*f + f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 + 3*l**3 - 3*l**3 - 54*l**4 - 282*l**4 - 35*l**4 + (6*l + 1 - 1)*(-2*l**3 + l**3 + 3*l**3) to c*l + g*l**2 + t + j*l**4 + v*l**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4972 is divided by 828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 42. Find s, given that 0*s**3 - 4*s**2 + 3*s**2 - 3*s**o - 4*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 3*g, -3*q + 7 = g - 4. Suppose q = 5*b - 2, 4*l = -b + 9. Solve -2*r + l = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:13 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*v - 6936 = -662*v. What is the highest common divisor of 600 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*g + 6*g. Which is the third smallest value? (a) g (b) 3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 - 5*j + 11. What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 5602396.\nAnswer: 280119800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -12. Suppose 2*v - 4 = -2*v. Let c(j) = 4*j**2 + j - 1. Let m be c(v). Put m, -2, u in decreasing order.\nAnswer: m, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + z**2 - 1 + 4 - 2. Let i(j) = -j**2 + 2*j - 2. Let d(x) = -i(x) - 2*u(x). Let o(y) = 3*y**2. Determine d(o(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*a + 11742 - 32996 = 0, 0 = i + 3*a - 21254. List the prime factors of i.\nAnswer: 2, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 + 3*x**2)*(1 - 4 + 4)*(-10*x + 26 - 26)*(2 + 2 - 5).\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 10. What is x(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 19278?\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - d**2 - d**2)*(13 + 3 - 3).\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 - 9*h - 5. Let o(x) = -3*x - 2. Let s be o(-3). Let w be k(s). Let j = 55 + w. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -9*o + 8*o. Let t = -255 - o. Is t bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*m - 427*m + 218*m + 23940 = 405*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-8)\/12)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1053770 divided by 5\nAnswer: -210754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*v**6 + 167*v**2.\nAnswer: 35280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189788.\nAnswer: 2, 17, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57\/5 + (-18)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75885.00000071993 - -75885. Round w to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55382.500773 + -503.\nAnswer: 54879.500773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12463 and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iokpopipmp. What is prob of picking 1 o and 1 p?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 8 + -4 + (-444)\/114. What is the biggest value in -12, y, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -332, -743, -1316, -2051, -2948, -4007?\nAnswer: -5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, 13, 488, 1413, 2938, 5213, 8388?\nAnswer: 12613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00296249 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 2*s**4 - 5*s**4)*(0*s - s + 0*s) - s**2 + s**2 - s**5 - 3*s**5 + 3*s**5 + s**5.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/7 - 16*d**4\/7 - 8*d**3\/7 + 16*d**2\/7 + 12*d\/7 = 0 for d.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 220.7871km?\nAnswer: 220787100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4373, 4373, 4371, 4367?\n\"Answer: -g**2 + 3*g + 4371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10*i - 6*i - 6*i)*(3*i - 4*i + 2*i)*(-2*i**3 + 2*i**3 - 2*i**3 + (2*i**2 + 0 + 0)*(1 - 1 - i)).\nAnswer: 8*i**5 + 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.36 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -1.86\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 2265.\nAnswer: 86070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084700 rounded to the nearest 10000?\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241 and 3?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757873 (base 9) in base 12?\nAnswer: a438a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011456801468 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:57 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g - 3920 = -434*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 114, 1, -3, 5, -4, -5.\nAnswer: -54, -5, -4, -3, 1, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 2\/3, -4212 in increasing order.\nAnswer: -4212, -3, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - sqrt(275)*3 - (sqrt(1331) - (-3*sqrt(1331))**2).\nAnswer: -25*sqrt(11) + 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(960\/32)\/(-30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/(-125) - 62\/(-5). Solve r = 3*h + 20, -3*h - 3 = 5*r - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 82062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - 2352*q**2 + 313 + 316 - 942.\nAnswer: -2352*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1052 + 1051.5. What is the second smallest value in 3, 7\/4, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*o + 121467 = 2*k + 676*o, 0 = 5*k - 5*o - 303685. What are the prime factors of k?\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*q + 285*k**2*q - 740*q wrt k.\nAnswer: 3*k**2*q + 570*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 5*l. Suppose 3*v + 24 = -48. Let q(a) = 9*a**2 + 24*a. Let i(m) = v*j(m) - 5*q(m). Let o(s) = s**2. Give o(i(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from wwywyyyywyy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 5, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/7, 562, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/14 and -76\/603?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.1798 - 0.1798. Put 5, -1\/4, 1, x in descending order.\nAnswer: x, 5, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 3\/5 (b) -0.3 (c) 1118 (d) -16.614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/(-12)*232\/(-754)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 bigger than 2\/7122587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -483a4 (base 15) to base 8.\nAnswer: -701671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116551\/48 - 2428. Calculate the common denominator of a and -31\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -8.953. Let z = a - -0.153. Sort -3, z, -2.5 in decreasing order.\nAnswer: z, -2.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from teprrbppebbbtebb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2135\/(-488) + (-6)\/(-16) + (-142)\/(-30).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*x + 28, d + 3*x = 2*d - 25. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-86700)\/680)\/((-2)\/4). Calculate the greatest common factor of n and 5457.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -19) + (18 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*u + 2*u + 596, -5*d - 2*u = -1484. Let h = 18964 + -18939. What is the remainder when d is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*u - 324*u - 31 = 2*b + 8, 0 = 5*b - 5*u + 10 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 15*g**2 + 14*g + 13. Let r be f(14). Suppose 1404 = r*y - y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*x = 3*x + 115, 0 = 4*u + 3*x - 445. Suppose -4*v + 207 + 849 = 0. Let r = v - u. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.89 * -0.053895.\nAnswer: -0.37133655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 22\/8. Suppose -8 = j*x - 4*x. Let b(f) = -x*f + 11*f + 7*f**3 - 4*f. Give b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -1\/34, -5, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000313 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 10701.\nAnswer: 2\/10701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*y + 39. Suppose 2*m + 2*m = y. Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9975 * -2314\nAnswer: 2308.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 821?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9851542 to the power of 1\/2, to the nearest integer?\nAnswer: 3139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 3*q + 19. Let g(b) = b**2 - 4*b - 19. Calculate -3*g(a) - 4*r(a).\nAnswer: 5*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 496701, 496702, 496703, 496704, 496705?\n\"Answer: p + 496700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 39. Let d = 122 - j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d + 0*d + 3*d - d - d - 4*d + 2*d + 0*d - 3*d + 0*d + d + (1 + 0 + 0)*(-3*d - d + 3*d))*(190 - 360 - 698 - 440).\nAnswer: 2616*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/27 and 61\/171?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8060 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from {c: 4, s: 1, o: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:22 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + r = 9*r. Solve r*b - 2*b - 6 = -w, 5*w - 21 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from lssqqxsocscccssc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 - 5*z**2\/2 - 39*z. Let k be y(-5). Suppose k*i**4 + 0*i + 1\/4*i**5 + 0 - 1\/4*i**3 + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-42 + 27 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 2*p + 2*p. Let y(d) = 4*d**2 - 3*d - 3. Let l(u) = -7*u**2 + 5*u + 5. Let h(r) = 6*l(r) + 10*y(r). Give c(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*s**2 + 4)*(-9*s + 12*s - 5*s + 12).\nAnswer: 4*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 3*j)*(-4 + 8 + 1)*(-5*j + 2*j + 4*j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose 2*y + 2 = v*z - 5, -z + y + 3 = 0. Which is greater: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/2 + 848*i**3\/3 - 399*i**2 - 2*i + 2734. Find the second derivative of b(o) wrt o.\nAnswer: 12*o + 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16854.999947154 - 16855. What is c rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuuuguzugugzuug. What is prob of picking 1 z, 1 u, and 2 g?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 10) in base 12?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -1772192 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3405 + 697 = 14*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b + 64*b = 35. Put b, 2, -3, 4 in decreasing order.\nAnswer: 4, 2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/160)\/(2\/(-44)) + -1. What is the third smallest value in 117, r, -4?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -28633*d - 5464. Is t(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95328 and 19792476?\nAnswer: 158339808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412039935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*p**3 - 26*p**3 + 114*p + 10*p**2 + 9*p + 206*p wrt p.\nAnswer: 42*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.251006157652 take away -3?\nAnswer: -4.251006157652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*a - 3*a + a) - 4672 + 4672 - 95*a.\nAnswer: -91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2, -4*s = s + 2*b - 57. Solve -5*n - s - 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l. Let c(z) = -7*z**2 + 2*z. Let m(x) = c(x) - 2*d(x). Let g(v) be the first derivative of -v**3\/3 + 24. Determine m(g(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a + 1. Let i(u) = -2 - u + 2. Let h(c) = f(c) - 6*i(c). Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-96))\/((-3)\/6). Does 0 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 111. Let c(y) = -17*y**3 + 17*y. Let r = 0 + 3. Let i(s) = 3*s + s**3 + 3*s**r - 7*s. Give f*i(m) - 6*c(m).\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23102, -23104, -23098, -23078, -23038?\nAnswer: -22972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = -2*w, -2*d + 3 = -d - w. Suppose -g + d = 2*g, r + 1 = 5*g. Suppose r*u = -u - 2*i + 53, -2*u + 4*i = -26. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48787685 divided by 127\nAnswer: -384155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Suppose -23*o + 89*o - 644 = -95*o. Let t(w) = 5*w**2 + 2*w - 1. Let z be t(-2). Solve -o*x = -y - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:13 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1219*m**3 + 1855*m**3 + 2236*m**3.\nAnswer: 2872*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 673 + 670 - 2*c.\nAnswer: 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(-23)*p)\/p*p))\/p*(((p**(-17\/4)\/p)\/p)\/p)\/p*(p**(2\/3))**(-19\/5) assuming p is positive.\nAnswer: p**(613\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = -u, -2*u - 3*u - l = -125. Let t be 1\/2*-1*(-39 + u). Let f(h) = -h**3 + 7*h**2 + h - 9. Calculate f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 344.6704 litres?\nAnswer: 344670.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82193*z + 82217*z - 164417*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (779 + -793 - (-2 + (6 - 1))) + -83.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*18*(-12)\/(-9). Suppose 2*n - 2*l = -2*n - 66, -r = n - 2*l. What is the common denominator of -13\/2 and (-1 + -1)\/((-88)\/n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06207116259 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d + 1756 = -1689 - 965 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*f - 18, 0 = -2*t - 0*f + 2*f - 12. Let m be 1*(-2)\/(-4) + (-15)\/t. Suppose m*u - 18 - 186 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - sqrt(24))\/sqrt(8) - -5*sqrt(27) - (-5*(5 + sqrt(15)\/sqrt(5)))**2.\nAnswer: -700 - 232*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:34 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 48967?\nAnswer: -48972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 365522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -5. Let i be 2*4\/(16\/2). Suppose -20*a - 451 = 21*a. Put a, b, i in ascending order.\nAnswer: a, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/9 + 2*p**3\/9 + 10*p**2\/9 + 2*p\/3.\nAnswer: -2*p*(p - 3)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**2. Let h(u) = u + 51. Let z be h(-7). Let x(r) = z*r - 26*r - 21*r. Calculate x(y(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 - 240.1. Let n = 18 + y. Which is the nearest to n? (a) 0 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12730 + 75368?\nAnswer: 62538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-97 + 33 - -34)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13188 = 4*b - 2*c, 0 = -b - 4*c - 3316. Let o = b + 7727. Let l = o + -35361\/8. What is the common denominator of l and -133\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121022210022 - 120?\nAnswer: -22121022210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(3\/15). Solve 7*c = 3*c - 2*j + 10, -2*c = -o*j - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 3 (c) -0.5 (d) 141 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620 + 9255 = 5*l + 5*v, -3*v - 1959 = -l. Calculate the greatest common divisor of 73 and l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5889 + 5875. Let v(l) = 8*l + 94. Give v(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 7*y + 12*y. Suppose -3*o + 6*h - 2*h + 522 = y, -12 = 4*h. Suppose -10*w - x = -6*w - 167, -4*w = 2*x - o. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 120. Let h(i) = i - 9. Calculate -6*h(j) - u(j).\nAnswer: -4*j + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsh when three letters picked without replacement from {o: 1, z: 1, s: 1, h: 1, b: 2, r: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 8*w + 7. Let l be n(6). Let p = l - -6. Sort p, -4, -2.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -11*s**4\/3 + 17*s**3\/6 - 17*s**2\/2 - 1158*s. Let c = -5 + 22. Let z(q) = 15*q**2 - 6*q + 6. Determine c*z(x) + 6*t(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 13*m + 24. Let t be w(-10). Let c(y) be the first derivative of 2*y**3\/3 + y**2 + 3*y - 5. What is the units digit of c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 - 2*y. Let o = -8 + 6. What is the units digit of r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 + -3) - 2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let b(x) = 92*x**2 + 3*x + 1. Let k(h) = 186*h**2 + 7*h + 3. Let v(w) = 7*b(w) - 3*k(w). Calculate p(v(r)).\nAnswer: 86*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3990*m**3 - 4\/3 + 118*m - 7562\/3*m**2 - 1350*m**4 = 0.\nAnswer: -2, -1, 1\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = -2*p + 8, -5*x = 5*p - 25. Solve -k + 10 = 2*u, -7 - p = 2*u - 4*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21146 and -5.\nAnswer: 105730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378235 and 390.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 34\/12 - -14*38\/(-3192)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 30 - (-31 - (-61 - -12))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -181*w**8\/28 + 13*w**4\/12 - 3*w**2\/2 - 301*w. What is the third derivative of l(h) wrt h?\nAnswer: -43440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g - 4018 + 4018 + (0 + 0 + g)*(-2 + 2 + 2))*(-g**2 - g + g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v. Let z(g) be the second derivative of -g**3\/2 + 21*g**2\/2 - 27*g. Let y(i) = 1. Let r(n) = 42*y(n) - 2*z(n). Calculate a(r(j)).\nAnswer: -84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897, 1759, 2621, 3483, 4345?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 128. Let t be p(-26). Let y be 32\/(-10)*(1386\/(-12) - t). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 + 305*n**3 + 3850*n**2 - 19220*n + 20520 = 0. Calculate n.\nAnswer: -38, -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**9\/3024 + k**6\/120 - k**3\/3 - 2*k. Let y(v) be the second derivative of o(v). What is the third derivative of y(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 0.11, 6, 2 in decreasing order.\nAnswer: 6, 2, 0.11, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 7. Let u be w(5). Suppose a + t + t = -3, 4*a = 4*t + 36. What is the third biggest value in u, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28913\/2 - (-1 + 9\/18)?\nAnswer: 3, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1639 (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*p + b - 24, 52 = 3*p - 2*b. Let h be (-3 + 0)*p\/(-12). Suppose -c - 5 = -3*f, 2*c = -h*f + 13 + 10. Solve 0 = -4*z - 24 + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.8 + -58.8. Let j = 45.9 + s. Let v = j + 5. What is the second biggest value in -0.3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 163?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1593 = -219*w + 2130. Solve 0 = 2*q - 3*z + w, 0 = -14*q + 19*q - 5*z + 35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 19. Let f(h) = -5*h - 8. Let u(r) = -28*r - 41. Let o(n) = 11*f(n) - 2*u(n). Determine -7*o(m) - 2*w(m).\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 64632?\nAnswer: 581688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 5*h**4 + 0*h**4 + (-1 + 1 + h**2)*(0 + 0 + 4*h**2) in the form d + r*h**2 + n*h + l*h**4 + z*h**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/3, 0.3, -2\/35, -3, -7, 500?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5261360 or 0?\nAnswer: 5261360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 = -l + 3*d + 218 + 205, -4*d + 11 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 + 7992*j**2 + 351164*j - 734328 = 0.\nAnswer: -1953, -47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5708 - 5.\nAnswer: 5703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1740 <= -1739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 654 = -7*i + 2*y, 4*i - 3*y - 657 = 0. Solve 0 = -6*c - i + 186 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3629, -3608, -3587?\nAnswer: -3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:02 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508006 divided by 1.\nAnswer: 508006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -15.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, -4, -377, 4.\nAnswer: -377, -5, -4, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:39 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101885 is divided by 50845.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 5*u + 77 = 0, 4*w = -1202*u + 1199*u - 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -631939 by -77.\nAnswer: 8207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239*(144\/6 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**2*z**2 - 2*x**2*z + 11*x*z**2 - 81*x*z + z**3 - 1 wrt z.\nAnswer: -6*x**2 + 22*x + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2305*-29.527.\nAnswer: 68059.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33597387679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -27 + (8 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4\/5, -4.96, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15978, -26813, -37648, -48483, -59318?\nAnswer: -70153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 3*j - 3. Let l be g(3). Let o = -5 - -11. Calculate the greatest common factor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.9 (b) -2\/1405 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04415 + 0.37555. What is b rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-99)\/(-6))\/((-2)\/12). Let f = h - 45. Suppose -6 = -3*i + 48. Calculate the greatest common factor of f and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/6 - 62*s**2 + 3. Let d(q) = -q**2 - 480*q. Determine y(d(g)).\nAnswer: -4*g**2 - 1920*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -1b729b?\nAnswer: -1b728a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 132 = 2*x, 68 = -4404*x + 4403*x + 4*l for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k - 160 = 100*k. Suppose 0 = -u - 0*u + 4*m + 5, 0 = 4*u - m - 20. Calculate the greatest common factor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4504 + 19950. What are the prime factors of n?\nAnswer: 2, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57964273.\nAnswer: 57964273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 17 - 20 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**0\/z*z**26*z assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 42, 83, 138, 207?\n\"Answer: 7*a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12434455 a multiple of 1793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 36, -63 in descending order.\nAnswer: 36, 8, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37086219.\nAnswer: 3, 811, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 37182\nAnswer: -19\/37182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 16693241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-5)\/m*m*m**(5\/2))**(-43))**5)**(-16\/5) assuming m is positive.\nAnswer: m**(-1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (16870\/(-18557))\/(2\/77)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 339467 (b) 2\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p + 22. Let y be ((-2)\/4)\/((-30)\/p). Let s be (-100)\/(-8) - (-11 + 24) - 14\/(-44). What is the third smallest value in -2, y, s, 3\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57040, 59197, 65050, 76447, 95236, 123265, 162382, 214435?\n\"Answer: 308*j**3 + j + 56731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-2)*(-28)\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 14 + 0 + 8 to b + z*o and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80\/11 - 1018\/143. Suppose -3*f - 9 = -2*f. Let r be f\/6*(-16)\/6. What is the nearest to 0.3 in -2\/9, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68136.755 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 133 = 249 - 131 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3271\/28858 - -25\/307. Sort -2\/3, w, 3, -0.3 in decreasing order.\nAnswer: 3, w, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6147*l - 6161*l + 19824 = 0. Calculate the remainder when l is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6 - ((-2508)\/24)\/19. Sort -3, -2, q, 6 in ascending order.\nAnswer: -3, -2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115020\/4320*16\/(-6)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 2*w - 4*w + (-9*w + 24*w + 6*w)*(0 + 0 + 3) + 3*w - w + 0*w)*(3 - 3 - 3*w**2).\nAnswer: -201*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110010000 - -1001000?\nAnswer: -100010101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 468090*h - 6085339.\nAnswer: (h - 13)*(h + 468103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + 11*m + 5*m)*(556 + 510 - 1358).\nAnswer: -1752*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009568869 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**2\/5 + 308*k\/5 - 1224\/5.\nAnswer: -4*(k - 34)*(2*k - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4563 and 4726917.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 - 8\/(-16). Suppose 41 = i + 6*p - p, c*p + 6 = i. Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 174 and 38.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 103.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffftftff. What is prob of picking 2 f?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*q - 18, 7 + 3 = 3*p + 2*q. Suppose -p*v = -9*v. Calculate the remainder when 3\/(v + 3) - -42 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.1. Let t be (4\/8)\/((-2)\/4). Let i be (-1)\/(-14) - t\/(-2). Which is the closest to -0.2? (a) q (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43410271 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141891691501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:16 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/30 - 37*v**5\/25 - 7*v**4\/2 + 2*v**3\/15 + 71*v**2\/10 + 7*v + 2606. Factor i(u).\nAnswer: -(u - 1)*(u + 1)**3*(u + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 6*d + 11. Calculate the highest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**4 - 120*t**3 - 260*t**2 + 3463*t + 49. Let z(a) = 2*a**4 + 40*a**3 + 88*a**2 - 1154*a - 14. Let l(g) = -2*w(g) - 7*z(g). Solve l(d) = 0.\nAnswer: -12, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136643 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863388527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -343, 1, 54, -5, 3, -349.\nAnswer: -349, -343, -5, -4, 1, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168470 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-49) + 47\/7. Let f = -5 + a. What is the greatest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 9:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 0. What is the greatest common factor of 324 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0)*(-15*g**2 + 47*g**3 - 4*g**2 - 43*g**3).\nAnswer: 8*g**4 - 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5545776 and 22.\nAnswer: 61003536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*(-3)\/(-12)*(-280)\/(-3500)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1968\/11 - -655322\/3663. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22403 - -3044?\nAnswer: -15315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 29. Let x = -6 + 3. Put x, -6, a in descending order.\nAnswer: a, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 146. Let i be g(-25). Suppose 4*k - 980 = -4*c, 5*c + 755 = 3*k + i*c. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1540*i**3 - 38*i**2 - 174*i + 19. Let o(p) = 171*p**3 - 4*p**2 - 19*p + 2. Calculate -2*a(k) + 19*o(k).\nAnswer: 169*k**3 - 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -39*j**2 + 17*j - 60. Let d be k(3). What is the common denominator of (1 - -2)*(-5)\/(d\/(-584)) and -31\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/384 and -101\/24?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/14 + -9 - (-867)\/(-1309)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*o + 31, 5*q = 2*o - 6*o - 250. Let v = -26 - q. Calculate the smallest common multiple of v and 5\/(-22 + 44583\/2024).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 20. Let a be r(-13). Suppose 4*v - 3*d = 220, -2*v + 4*d - a = -132. Calculate the lowest common multiple of v and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 4*c)*((c - 6*c + 2*c)*(13 - 13 - c) + c**2 - 5*c**2 + 2*c**2 - c**2 - 3 + 3 + (-3*c**2 + 0*c**2 + c**2)*(3 + 0 - 5) + 2*c - 2*c**2 - 2*c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 101, -32, 2, -5, 1 in ascending order.\nAnswer: -32, -5, -3, 1, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 + 64*v**2 + 738*v**2.\nAnswer: 778*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-118)\/(-177) + (-157884)\/(-18). What is the greatest common factor of q and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 15) to base 12\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2227 + -2225. Determine r so that 0*r**g - 1\/5*r**5 + 0*r + 1\/5*r**4 + 0 + 0*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 6, y: 5, c: 6}. Give prob of sequence yy.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*p + 190*p = 6144. Let u = p + 18451\/12. What is the common denominator of -77\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15780883\/894 + 17652. Let l = 44645\/9834 + u. Let d = 1091\/270 + -209\/27. Calculate the common denominator of l and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 337805.441 to the nearest 1000.\nAnswer: 338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/280*354\/(-1239)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*s - 1 = 2*s, 2*r = 2*s + 4. Suppose 0 = 3*n + v - 6 - r, -3*n + 17 = -v. Let q(y) = 0 + 0 + n*y**2. Let d(j) = j. Give q(d(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 2*a + 2. Let r be y(-2). Let o be (-68)\/12 - 2\/r. Let s be (3 - 0 - 2) + o. Sort 3, s, 4 in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 5*k, -2*u - 2*k + 25 = -13. Differentiate u*h**3 + h**4 + 4 - 14*h**3 with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2511 + 4?\nAnswer: -2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-116)\/(-40) + -3). Let s = -2.1 + 2. What is the third biggest value in t, 0.04, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((23 - 29) + -38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -7 - (384 + -359)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 8*g + 28. Suppose -16*s = -22*s + 60. Let v(r) = r**3 - 6*r**2 - 3*r - 8. What is the least common multiple of v(7) and o(s)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 789*j**2\/2 + 82. Let s(g) = -2*g**2. Determine u(s(z)).\nAnswer: -1578*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/3 - 5*s**4\/3 + 5*s**3\/3 + 5*s**2\/3 - 2*s = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 2 - 2*a + 11.\nAnswer: -2*a + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143? (a) 5 (b) -0.17 (c) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**3 - 8*u**2 + 8*u. Let d = -470 - -473. Let j(z) = 4*z**3 - 3*z**2 + 3*z. Calculate d*p(n) - 8*j(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 9*p + 6. Let b be y(-8). Let d = -48 + b. Suppose 3*j = -4 + 88. Calculate the greatest common divisor of d and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11610 (base 8) in base 2?\nAnswer: 1001110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:44 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*u + 84 = -354*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5 - 3*u + 5. Let j(q) be the third derivative of 5*q**4\/24 + q**2 - 526. Calculate a(j(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -2.04. Suppose -3*x + 3*i - 9 = 0, 12 + 0 = -4*x - 2*i. Let m be x\/1 + (-125)\/(-35). Which is the biggest value? (a) m (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-12)\/(-48)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Let n = 103.8 - 104. Which is the nearest to g? (a) 2 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100769070*v**3*z**3 + 7*v**3 - 205643*v wrt z.\nAnswer: 302307210*v**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333 + 9 - 44)*(-2 + 2 - z)*(-1 + z - 2 - 1).\nAnswer: 368*z**2 - 1472*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -23456 (c) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1103595444 divided by -2.\nAnswer: -551797722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1 (c) 101 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5\/2*a**2 - 5 - 5*a. Let p(k) = 4*k + 5. Give 5*h(b) + 6*p(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = -v + 33, 3*g = -2*v + 84. Suppose -3*z - 2*x = 2*z - g, 5*x = 0. Put 2, 0, z in increasing order.\nAnswer: 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. Suppose w - 3*c + 5 + 0 = 0, 2*w = 2*c + v. Solve 0 = -3*l - s - s + 3, -l + w*s - 13 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 3. Let v = -2407\/10686 + 1\/137. Let t = v + 5\/78. Put t, 0, s in decreasing order.\nAnswer: 0, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*o - 16 = 0, -5*u - 4*o - 4 = -u. Suppose u*j - 100 = -6. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**2 - 11*i + 375. What is b(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 358.3. Let x = -4.6 - 19.4. Let u = w + x. Sort 1, u, 1\/3 in decreasing order.\nAnswer: 1, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j = -125. Let s = -17 - j. What is the smallest common multiple of 20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/24 - i**3\/3 + i**2. Let m = 21 - 23. Let p be d(m). Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o + 28. Let j(a) = 4*a. What is -h(q) + 4*j(q)?\nAnswer: 2*q - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2\/4 - 59445*n\/4 - 4492125\/2 = 0. Calculate n.\nAnswer: -150, 19965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 48 - 19 - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 162*m + 3580. What is the hundreds digit of w(115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from llakalal?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159461 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + k - 12 = -4, -2*f - 5*k + 1 = 0. Let w(q) = -q**3 - 3*q**2 + 4*q + 4. Let l be w(-4). Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32943 + 32942.89. Sort 2, r, -2, 4, 2.9 in decreasing order.\nAnswer: 4, 2.9, 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttvtt. What is prob of sequence vvt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 29. Suppose 5*b - q*b - 18 = 0. What is the third derivative of -2*w**3 + 3*w**6 + 2*w**3 - 8*w**2 - 13*w**b wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -672*w + 6724. Give c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -3*w**6\/40 + 4*w**5\/15 + w**4\/6 + 21*w**2\/2 + 19*w. Let z(h) be the first derivative of p(h). Factor z(k).\nAnswer: -k*(k - 2)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -162*i + 193505. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 219*q**3 + 678*q**2 - 456*q.\nAnswer: -3*q*(q - 2)*(q - 1)*(q + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u + 21. Let f(y) = -3*y + 1. Let t(l) = 3*l + 2. Let q(s) = f(s) + 2*t(s). Calculate -5*b(h) + 21*q(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 12667604*r**2 + 25335214*r - 12667608.\nAnswer: -2*(r - 1)**2*(r + 6333804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (146\/219)\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22422043230 + 1?\nAnswer: 22422043231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 359 = -2*v. What is the remainder when 21\/(-7) + v\/(-2) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15305145 and 315570?\nAnswer: 30610290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3078 - -3154. Let k = 10943 - l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) + sqrt(2))*-5.\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 12. List the prime factors of 9*((-6)\/g + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -798, -504, 1782, 7056, 16314, 30552, 50766?\n\"Answer: 166*c**3 - 868*c - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**5 + 25*v**4\/4 + 35*v**3\/3 + 15*v**2\/2 - 14. Suppose g(i) = 0. What is i?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**4*w*w**1*(w\/w**(4\/5))\/((w*w\/((w**(-1)*w)\/w))\/w) assuming w is positive.\nAnswer: w**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 37490.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 703 + -5627\/8. What is the nearest to 0.1 in 7, 1, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2843071.\nAnswer: 284307.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*f + 6 = 0, 0 = -3*i + 5*f - 10*f + 30. Calculate the greatest common divisor of i and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 516*t - 5810 + 1995 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 13. Let a(j) = 3*j - 2*j - 4*j. Let r(k) = 5*k + 35. Let n(h) = -3*h - 14. Let p(u) = 5*n(u) + 2*r(u). What is x*p(t) + 7*a(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20535\/25 + 4\/(-10). Let d(l) = -814 + 11*l + l**2 - 3*l**2 + 3*l**2 + z. Let n = -21 + 11. Determine d(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 0 + -1 - 1. Let t(l) = -13*l + 12. Let y(d) = -4*d + 4. Let g(c) = -2*t(c) + 7*y(c). Give g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 27*q - 256. Suppose 4*x + 5*o - q = 0, 5*x = -0*x + 3*o + 123. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 837\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -12. Let z(x) = -x**3 - 6*x**2 - 6*x - 3. Let p be z(-5). Suppose -m = -2*d + 3, 6*d - 15 = -m + p*d. Solve -m*k + a = -14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/697 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(16\/(-28)) - (-1 - 2). Let b be 12\/k*10\/12*3. Suppose -4*p = -b*p - 62. What is the highest common factor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 12*t - 54 = 0. What is the derivative of -7*w - 18*w - 3*w**t + 8*w - 109 - 6*w wrt w?\nAnswer: -6*w - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 1\/2*i**3 + 15*i**2 + 17*i + 0 - 1\/12*i**4. Let t be q(7). Solve 0*o - t = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*a + 29*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.3, 0.031, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 4. Let n = j + 1. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.098 * -1.9.\nAnswer: 0.1862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Let z = 11 - g. Let i(p) = p**2 - 4*p + 10. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -5\/96*i**4 + 1\/120*i**5 + 1\/60*i**6 + 0 + 207*i**2 + 1\/24*i**3 + 0*i. Factor f(t).\nAnswer: (t + 1)*(2*t - 1)*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215631 and 3347097.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.15 + 21. Let r = m - -0.15. Which is the second biggest value? (a) 2 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2619*y - 20 = 2615*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.165 and -0.02.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 33024040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3027 = v - i, -20*i - 6024 = -2*v - 24*i. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1382 * 0.01\nAnswer: -13.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 613073 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303554515 (base 6) to base 2.\nAnswer: -10011111011101100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 5*u**2 - 2*u + 5. Let c be (-2 - (-42)\/8)*-4. Let f = c + 21. What is the remainder when z(-5) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34\/5 - -83\/10. Let r(j) be the first derivative of -1\/3*j**3 - 1 + p*j**2 - 3*j. Give r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2996, 3001, 3006, 3011, 3016?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 3, k: 1, i: 1}. Give prob of sequence hk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**2\/2 + 1. Suppose -4*o = 2 - 10. Let r(q) = -6 - 2*q**o + 6. Calculate r(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -5975 and -5975 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21\/202 + 2945\/24442. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l + 2*l)*(-2*l**2 - l**2 + l**2) + 3*l**3 + 5*l**3 - l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7905376 and 529.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39\/5 - -263\/35. Suppose -21*n + 6*n = -15. Which is the second biggest value? (a) 1.5 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*d**4 - 73*d**4 - 2933 + 2931 + d**3 + 7*d**4 - 2*d**4 - d**4 + (0*d**3 + d**3 - 3*d**3)*(0*d - d + 2*d).\nAnswer: -104*d**4 + d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let m = s - 4. Let j = m + 7. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -564685, -564650, -564615, -564580?\n\"Answer: 35*h - 564720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s + 1\/24*s**4 + 18*s**2 + 1\/6*s**3 + 0. Let i = -10 - -15. Give r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -0.055 (c) -0.06 (d) 1\/6 (e) 1450\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 31, 34, 39, 46, 55, 66?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h, -3*d - 17 = 3*h + 16. Let g(s) = -6*s + 5. Let f(m) = -m + 1. Let v(w) = d*f(w) + 2*g(w). What is v(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 38. Let x be q(10). Put -4, x, -59 in descending order.\nAnswer: x, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/70839 and -25\/2142?\nAnswer: 991746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 90900846*m**2\/5 - 206574085997808*m + 1032870520889888\/5.\nAnswer: -2*(m - 1)*(m + 22725212)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2882 by 14.\nAnswer: 1441\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*j - 11648, 0 = 3*z - 5*z - 4*j + 4652. Suppose 0 = z*p - 2337*p + 10. Solve -p*u - 12 = 4*x, 8 = -0*x - 4*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, z: 4}. Give prob of sequence hhzz.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -929*m**2 - 2*m + 8. Let q(d) = 1857*d**2 + 5*d - 18. Calculate 4*q(p) + 9*y(p).\nAnswer: -933*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 697080467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/213*(-6)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-54)\/48)\/((-131568)\/64). Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20200)\/(-40) + 3 + (-1)\/1. Suppose h - 3*p = 132, -l = -4*h - 8*p + 13*p. What are the prime factors of h?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 85264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -3270, -3 in decreasing order.\nAnswer: -3, -69, -3270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8862534 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -81 - 135. Let v(r) = 3*r - 2. Let b(c) = -10*c + 6. What is l*v(q) + 3*b(q)?\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r - 50 = -594 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189.3485 months in years?\nAnswer: 99.112375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by (-284)\/(-12) + (-10)\/(-3) + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.079 - -1.221. Let s = 21.3 - h. Is s < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1)\/(3\/6). Suppose 2*g = 4*y + 6 - 46, 5*y - 59 = -o*g. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - (sqrt(91) + sqrt(91)*4)\/sqrt(7))**2 + 4 + ((-1 + sqrt(13))*2)**2.\nAnswer: -8*sqrt(13) + 1308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 18, z: 2}. Give prob of sequence lll.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -729\/5*l**3 - 231\/5*l**2 + 21\/5*l**4 + 42 + 729\/5*l = 0. What is l?\nAnswer: -1, -2\/7, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4450 - 4358. Solve 22*o - 114*o - a = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*v - 46, -15 = -d - 3*v - v. Suppose -4*l + 27 = d. Solve 4*b = 8 + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023136?\nAnswer: 2, 3, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**2 - 88*t + 485. Let l(x) = -4*x**2 + 43*x - 242. Let s(w) = 13*l(w) + 6*y(w). Differentiate s(p) with respect to p.\nAnswer: 4*p + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p + 50*p - 107*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/7500 and -82\/4185.\nAnswer: 2092500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21310 (base 8) to base 16\nAnswer: 22c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0 (c) -2 (d) 2\/7 (e) 11.79 (f) -3.3 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951366141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by 5.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*k + 4*n - 45 = 913*k, -k + 60 = -15*n + 226 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2304 (base 6) to base 13.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:09 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 2\/7, -0.01 in ascending order.\nAnswer: -0.01, 2\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*4\/60 - 17\/(-85))*1. Factor j + 9\/7*y**3 + 6\/7*y**4 + 0*y + 4\/7*y**2 + 1\/7*y**5.\nAnswer: y**2*(y + 1)**2*(y + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2720 + -2682. Solve 30 = 2*y + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 13*r**7\/210 - r**5\/5 - 5*r**2. What is the third derivative of b(k) wrt k?\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 602*d**2 + 5*d + 11. What are the prime factors of n(-2)?\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -8, -46, -120, -242, -424, -678, -1016?\n\"Answer: -2*p**3 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0.2, -0.4, 0.2476, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3091308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156005388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) 70 (c) 0.06 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 1 + 12*u**2. Let l(g) be the second derivative of 0*g**2 + 10*g + 4 + 1\/12*g**4 + 0*g**3. What is l(v(w))?\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*o + 101 = 0, -4*m = -0*m + 4*o - 88. Let t = -76 + 112. Calculate the remainder when t is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 61. Suppose m*o + 45 = 945. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-11\/7))**16*(l\/(l**(-2)*l))\/(l*(l**1*l)\/l*l*l)*l*l**(-6)*l*l\/((l**(1\/4)\/l)\/l) assuming l is positive.\nAnswer: l**(-443\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 7*h**3 + h**2\/2 + h - 204. Give o(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 0) + -2 + 5. Sort -2, y, -1\/6 in descending order.\nAnswer: -1\/6, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 20. Let b be 72\/20 - z\/15. Solve -b*g = -10 - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -9. Suppose 0*n = -h - t*n - 12, n - 3 = 0. Let s = h + 40. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/3 + 38\/3*i - 2\/3*i**3 - 4\/3*i**2 = 0 for i.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 631 + -631.3. What is the biggest value in 0.5, -0.21, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let g = p - 0. Suppose 2*v + g*v = 4. Solve -5 = -i + v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.215 and -6549943.\nAnswer: -6549963.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -6*f. Calculate the greatest common factor of f and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 111*u = 107*u + 32, 6*u = 3*h - 42 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*w - c + 926, 5*w + 5*c = 1150. Suppose -w = -9*b - 43. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let x(w) = 0*w**2 - w**3 + w + w**2 + j*w - 2. Suppose -13 = 3*d + y - 3, 0 = 4*d - 4*y - 8. Give x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(3\/((-27)\/156))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011002 + 11?\nAnswer: 10011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746844, 1493553, 2240276, 2987019, 3733788, 4480589?\nAnswer: 5227428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16280 and 1110?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93c1 (base 14) in base 4?\nAnswer: -12031231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaggn. What is prob of picking 1 n and 3 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 90993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - 0.1. Let c = 1.5 + r. Sort c, -0.5, -3\/5 in ascending order.\nAnswer: -3\/5, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -m, -6*m + 17 = -2*r - 9*m. Sort -2, r, -254.\nAnswer: -254, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 628 (b) -259 (c) 1069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 293*n + 2932. Let r be f(-10). Solve -2*b + 5*c - 28 = 0, -3*b - r*b + c - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*309336\/6. Suppose -3*j + 246862 + k = 0. Let o = j - 60880. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6*o = 8*o + 782. Calculate the greatest common factor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1101 divided by 3.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.9365l in millilitres?\nAnswer: 163936.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2\/7, -15, -3\/4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -37) + (-1 - (22 - 18 - 13)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)*328\/12. Let j = o + -56. Let f = j - 180\/7. What is the third smallest value in -1, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 441?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 12546?\nAnswer: 464202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q - 6. Let g = -128 - -196. Let k = g - 70. What is the tens digit of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 12*x - 11. Let z be q(13). Find the first derivative of 2*p**4 + 32 - 5*p**2 + 28*p**4 - 10*p**z + 14*p**2 wrt p.\nAnswer: 120*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.09 + 45.09. Let z be ((-57)\/51 - -1)\/1. What is the closest to 0.1 in z, 2.1, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4764992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3683816 is divided by 1654?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2. Let x(r) = 5*r + 2. What is v(x(z))?\nAnswer: 100*z**2 + 80*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*n**5 - 338*n**2 + 6*n - 106?\nAnswer: 1840*n**3 - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17516 + 20059. Which is smaller: 2542 or r?\nAnswer: 2542","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**3*o**2 - 272*l**3*o*z - 12*l**3*z + 921*l**2*o**2*z + l*z - 21*l - o*z wrt o.\nAnswer: -20*l**3 + 1842*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 34*b**2 - 99*b - 19. Let i(l) = -23*l**2 - 6*l - 2. Let t be i(1). What is the remainder when c(t) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pys when three letters picked without replacement from msmykyykkkmkkmmyykp?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 12.94. What is the third smallest value in w, -5, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/28)\/5)\/1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:59 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h + 167. Let n be o(-18). Solve 0 = -n*w - 3*p - 5, 4*w + 31 = 5*p - 2*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/11*3\/(3\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11220003012 - -10?\nAnswer: 11220003022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -186, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 33.\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26429817 divided by -19.\nAnswer: -1391043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85997 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*p = p - 1, 2*o - p - 7 = 0. Suppose -u = -4*b + 4, o*b - 2*u + 7*u = -20. Solve 5*t = -3*h + 34, 0 = -4*h + 3*t - b - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 231*o + 46. Let i(l) = 44*l - 9. Let c(h) = -4*a(h) - 21*i(h). Let s(n) = -9*n**2 + n - 9. Determine 5*c(v) + 2*s(v).\nAnswer: 2*v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 573.\nAnswer: 25212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-7))\/((-119)\/833). Is 367592\/l - (-98)\/441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4018, -4013, -4000, -3979, -3950?\n\"Answer: 4*g**2 - 7*g - 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*-1*-2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067.097 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19806098 is divided by 707360?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17*3\/15 + 3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4678380 and 19740.\nAnswer: 4678380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 112404?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -1 in increasing order.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2493 or 2489?\nAnswer: 2493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5073 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 23 - 4*t - 22 - 5*t**3 - t**2 - t**3 in the form b*t**2 + p + j*t**3 + h*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/o**(-1))**(-1\/19) assuming o is positive.\nAnswer: o**(-4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 36*q**2 + 100*q + 64. Let b be i(-33). Calculate the greatest common factor of b and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966.903mm in centimeters?\nAnswer: 796.6903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-36))\/((-3)\/9). Solve i*o - 1 = 3*q, 2*o + 3 = 3*o - 4*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from jkjkjdkjdjkokkdkjkjd?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8304 and 6920.\nAnswer: 41520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 280995 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 51361822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -168, 4, 5, 2 in decreasing order.\nAnswer: 9, 5, 4, 2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 - 247*m - 1210 = 0.\nAnswer: -242, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001 (base 2) to base 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 846278049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26*i - 8*i + 4*i**2 - 9*i - 3*i**2. Let h be j(-9). Suppose -2*q + 4 = h, 5*q + 7 = 5*u + q. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 - 95*p + 113. Let x be g(-13). Calculate the greatest common divisor of 120 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 41. Give k(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99, -105, -147, -243, -411, -669, -1035, -1527?\n\"Answer: -3*a**3 + 15*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - 17*h + 11*h)*(-h + 4*h - 4*h) - 5*h**2 - 1 + h**2 + 0.\nAnswer: -9*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12e2 (base 16) to base 4.\nAnswer: -1023202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 530. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {r: 5, n: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = h + 20, 0 = -5*h - 0*d + 4*d - 64. Let i = 25 - h. Let x(q) = q**2 - 7*q - 16. What is the remainder when i is divided by x(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(2\/75)*d**(4\/15)\/d**(2\/7) assuming d is positive.\nAnswer: d**(-22\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*4*(-3 + 5*sqrt(48) + -5).\nAnswer: -480*sqrt(3) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -278.8, 2, 7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17506555?\nAnswer: 5, 11, 318301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 4*q + 7. Let t be u(-6). Let k(l) = 4*l**3 - l**2 - 7*l + 9. Calculate the remainder when k(3) is divided by 1 - -27 - 10\/t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 9782\nAnswer: -146730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/(sqrt(36)\/sqrt(3)) + sqrt(60))\/((sqrt(120)\/sqrt(2))\/sqrt(5)) - ((sqrt(30) + sqrt(120)\/sqrt(4)*-2)\/(-4*sqrt(6)*-2))**2.\nAnswer: -5\/64 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 278 + 223 = -41*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 16443 = -14*y. Suppose -8*m + y = -1249. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g + 11 - 43*g**2 + 32*g**2 + 59*g**2. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - -412211188?\nAnswer: 412211230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12*3)\/(4 - 2). Let o = x + -15. Let d be o*3*6\/18. Calculate the highest common factor of d and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*s - 33*s - 197*s + 44370. What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-321)\/14980)\/((-1)\/(-5))*-8\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12335 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 238220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-8)\/(-36) + 43812\/(-196425). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*3*36\/(-81)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkulgllkul. What is prob of picking 3 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115123 + -21?\nAnswer: -115144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4073 or -4045?\nAnswer: -4073","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r - 3*r - 7*r - 10. Suppose -104 = -o - 97. Let w be u(o). Which is the smallest value? (a) 1\/4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22472, -45088, -67704, -90320, -112936?\n\"Answer: -22616*q + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -428711308 divided by -101977?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/5 (b) -15 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 3*l - 42 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i + 32*i - 24*i + (1 + 6 - 2)*(5 - 5 - i) in the form h + a*i and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 - 12*z**2 - 15*z - 4. Let b(u) = -u**2 - 4*u - 1. What is -6*b(n) + h(n)?\nAnswer: -7*n**3 - 6*n**2 + 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -5. Let w = 11 + z. Calculate the remainder when (3 - 22\/(-2))*3 - 1 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 16*q + 2. Let a be b(0). Let v(n) be the third derivative of 0 - 1\/4*n**4 + 0*n - a*n**2 - 1\/30*n**5 - 2\/3*n**3. Find c, given that v(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3156161*p + 9480 = -3155766*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 - 9 = 0. Let s be 1*1\/t*1. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/7057 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**5\/120 + b**4\/36 - b**3\/36 - b**2\/6 - 83*b + 5. Let y(m) be the first derivative of n(m). Factor y(c).\nAnswer: (c - 1)*(c + 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2392 divided by -299.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319627 - 320113.538. Let s = -486 - b. Round s to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose -7*d = -2*d - r. Is -32*d\/(-1) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/120 + 17*r**5\/60 - 3*r**4\/8 - 8*r**3 - 117*r**2. Is 8 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-32)\/252*((-966)\/56)\/23)\/5.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*h*l**3 + f**2*h*v**2 + 17*f**2*l**3 - 3*f*h*l**3*v - 3*f*h*v**2 + 14*f*l*v**2 - 3*h*l**2*v**2 + 2*h*v wrt f?\nAnswer: -4*h*l**3 + 2*h*v**2 + 34*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 33*y**2 - 5*y - 139. What is f(-33)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 4*l**2 - l + 2. Let x be 1 - -4*12\/(-16). Let g be r(x). Suppose 0*z + 2 = -2*z + 5*b, 0 = -2*b - g. Let p(n) = n + 8. What is p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37294, 37325, 37358, 37393, 37430?\nAnswer: 37469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (9 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1676*-0.03.\nAnswer: -0.005028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45005 - 225781\/5. Let v = 152 + i. What is the smallest value in -0.2, v, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074053 rounded to six dps?\nAnswer: -0.000741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from pyn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7263\/8 or 907?\nAnswer: 7263\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from nhhnhonhnooopnonh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-17)*(-2)\/(-4). Let j = 1 + -5. What is the nearest to 0 in -0.3, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 266*k**3 - k**2 - 2*k - 2. Let z be t(-1). Let r = -228 - z. Calculate the remainder when 270 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15231068 to the nearest integer?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 423*q - 4. Determine n(-4).\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:08 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + 7 + -15 - (0 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 48, -5, 0 in decreasing order.\nAnswer: 48, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5)*-2 + -3*sqrt(15)\/sqrt(3) + sqrt(5) - (sqrt(40)\/(sqrt(80)\/sqrt(10)) - sqrt(5))*2) + -3)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 363430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421b (base 15) in base 3?\nAnswer: 22102111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 359*i. Let x(u) = -4*u. Determine v(x(o)).\nAnswer: -1436*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 101102?\nAnswer: -101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by 150.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a + 24 = 56*a. What is the second derivative of 7*h**2 + 51*h - 8*h**a - 6*h**3 + 51*h + 102*h wrt h?\nAnswer: -84*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11082703\/240 + -46178. What is the common denominator of 2\/3 and r?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15093*q + 648992. Calculate b(-43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4949745 to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*d + 1 = 4, 0 = -5*d. Suppose -18 = 4*o - g - h, 0 = -2*o + g - 9. Let c = -3 - o. Solve 0 = 3*f - c*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -123. Suppose j*k = 9*k - 1542. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010110111?\nAnswer: -10010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnfdsndcnn. Give prob of sequence sddc.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 31*b + 10. Is o(9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let v = -400203\/100 + 4002. Let t = -179\/700 + v. What is the closest to t in 2\/9, n, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76520 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142)\/(-130640)*138*5\/(-4)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -23\/8*j**4 + 0*j + 14\/3*j**3 + 73*j**2 - 2. Find the first derivative of b(h) wrt h.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 11*l**4\/24 - 11*l**3\/3 - 42*l**2. Let j be g(8). Let p = -59 + j. Which is greater: p or 0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)*d*d\/(d**(-1\/3)*d))**(-33)\/(d*d**6*d\/(d*d**(-4\/5)))**(2\/43) assuming d is positive.\nAnswer: d**(-8119\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-573)\/231 + (5 - (-560)\/(-110))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -35*y**3 - 7*y**2 - 7*y - 7. Let c(h) = -18*h**3 - 3*h**2 - 3*h - 3. Determine 7*c(n) - 3*z(n).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d - 450 = 60*d. Calculate the remainder when 538 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3391 - 1282*g**3 + 3391 + 1342*g**3.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from srsrsgrrrsr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*n = 6*n + 65, -5*n - 52 = -4*o. Let s = 168 + -118. What is the remainder when s is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4\/3 - 80*d**3 + 2965*d**2\/3 - 910*d = 0.\nAnswer: 0, 1, 21, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36583\/33 + -1110. Suppose -t + 5*h = 594, -2*h + 3058 = -5*t + h. Calculate the common denominator of g and (-12)\/(-48) + t\/72.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 2, 6.3, -36, 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - 154*n - 298. Determine g(15).\nAnswer: -1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4351.4982 to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-24)*81\/63 + -76.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:22 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -4*c - 1756. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21. Suppose -x - 2*i + 18 = 4*x, x = 4*i + 8. Suppose 4*n = -2*m - 20, 3 = -5*m + n - 3. Sort m, x, o.\nAnswer: m, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 679315 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 + 1. Let c be h(-1). Let v(y) = y + 1. Let f be v(c). Suppose 3*l = 3*d - 21, 4*d + f*l - 10 = 3*l. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose p + y = -j*p + 384, 4*p - 2*y - 372 = 0. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7388 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 2 - 110\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/24 - -191\/312. Let j = -0.39 + -0.01. Let i = 0.1 + -0.1. Which is the closest to i? (a) -1 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -8. Let u be -1 + 1 - (-125 + 129). Let b be 0\/(w*1\/u). Solve -3*j = 3*m - 3, -2*m + b = 5*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-400*h + 200*h + 202*h + 48)*(1 - 4 + 1)*(-3 + 0 + 2).\nAnswer: 4*h + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14242009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2609288 and 45892.\nAnswer: 18265016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + y + y)*(-y**2 + y**2 - 2*y**2)*(9 - 7 - 45).\nAnswer: -344*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 - 3*n**3\/2 + 13*n**2\/4 - 3*n + 1.\nAnswer: (n - 2)**2*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 + 36*g**2 - 16*g + 2*g + 42*g - 14*g to f*g + c*g**2 + l and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 31185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*z + 25 = -314*z. What is the fifth biggest value in -4\/7, -5\/4, -0.3, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307 (base 10) to base 7.\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + k + 29, x + 873*k - 874*k + 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a + 1255 = 243 + 232 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219851, 219850, 219849, 219848?\nAnswer: 219847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-18*q**4 + 18*q**4 - 7*q**5) + 2*q**5 - 3*q**5 - 4*q**5 + (-6*q + 3*q + 2*q)*(0*q**2 + 0*q**2 + 2*q**4) + (-3*q + 0 + 0)*(-4*q**4 + 1 - 1).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 29 = w - 2*w, 3*f = -w - 67. Let l be (-140)\/(-3)*(21 + f). What is the units digit of l\/(-8)*16\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13\/y)\/y**(1\/3) assuming y is positive.\nAnswer: y**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463.93 + -4.73. Let y = j + -422. Let g = 22.9 - y. Round g to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1615*r = 1003*r + 16524 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 + 139 = -6*b - 5*b + 284 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 5, t: 6, d: 3, c: 2}. What is prob of picking 2 d and 1 c?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -4766932\nAnswer: 1906772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6815.066 meters?\nAnswer: 6815066000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.17 - 0.17. Let n = f - 20. Sort 1, n, -4.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2))**(-3)\/(p**(-1\/8)*p**(-3\/8)\/p))**(-2\/59))**(2\/59) assuming p is positive.\nAnswer: p**(-30\/3481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0714 + -23\nAnswer: -22.9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 185*l + 11644. Give o(-63).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -707497*550\nAnswer: -389123350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -3. Let n = 12 - m. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 3*q + 3*q - 4531.\nAnswer: -2*q - 4531","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o**3 + o**3 - 11*o**3)*(0 + 3 - 2) + 54*o - o**3 + 82 - 33 - 51*o in the form d + q*o**3 + u*o + z*o**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 664 = -126. Suppose 4*z - 5*z = -3*a - h, -4*z + 71 = -a. Let l be (-6)\/2*238\/a. What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1087, -2188, -3311, -4468, -5671?\nAnswer: -6932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/12 + -1\/3. Let l = 560 - 558. Which is the closest to l? (a) 1\/5 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 10. Suppose 0 = -3*k - 0 + m. Let r be (-28)\/49*k\/(-4). Which is the third biggest value? (a) 2\/21 (b) r (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 33, 45, 53?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -15) + (25 - 0) + (-18 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*i + 4190 = 0, -2*l - 3*i = -4220 + 1414. Suppose -4*s + l + 0 = 0. Let a = s + -4546\/13. Is a smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1305 - -1625. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -170, -474, -988, -1718, -2670, -3850, -5264?\n\"Answer: -r**3 - 99*r**2 - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p. Let j(g) = -2*g - 4*g + g - 17*g. Let m(i) = -5*j(i) - 12*q(i). Let t(x) = -2*x**2 + x**2 + 0*x**2. Calculate m(t(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -22*u. Let s(v) = -16*v. Determine s(p(f)).\nAnswer: 352*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*w + 2. Let k(y) = -65248*y - 8. Let q be k(w). What is q rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193952919 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 27. Let k(d) = 3*d - 28. Let l(g) = 4*c(g) + 3*k(g). Calculate the least common multiple of l(-12) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/15 + 87636\/15260?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32 = -2*d - 3*d, 0 = 4*z + 4*d - 32. Suppose 7 = 4*n - z. Calculate the remainder when 9 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/2843 + -2317031\/19901. Let d = z + 116. Let k = 194755.2 - 194755. Which is the closest to d? (a) k (b) -0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let m be 6*(-2)\/18*-3. Let v(a) = 3*a**2 + 5*a**2 - m*a**2. What is v(w(p))?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2103 + 455205?\nAnswer: 453102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 >= 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 533, 524, 515?\n\"Answer: -9*d + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14352*f**3 - 32650*f**2 wrt f?\nAnswer: 86112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14 from -5478349049.\nAnswer: -5478349048.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -0.01. Let c = 2.01 + -0.01. Sort -0.4, w, c.\nAnswer: -0.4, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3032?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-14)\/12*-1*15. Calculate the remainder when 95 is divided by (t\/(-2))\/((-9)\/(-9)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -10, -1.3, -2, -50?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/1)\/((-12)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 13*x + 4 - 91 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2162 (base 11) to base 15\nAnswer: -ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 82 = -2*d, 118 = 2*i + i - 2*d. Let o be 1\/4 + 11\/(-44). Suppose -k + 324 = -o*k. What is the greatest common divisor of i and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**24)\/a*a\/(a\/((a\/a**(7\/9))\/a))*a**(2\/25)\/((a\/(a**(4\/9)*a))\/a) assuming a is positive.\nAnswer: a**(1931\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 9*r + 9*r)*(0 + 0 + 2*r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k + k)*(0*k**2 + 7*k**2 - 9*k**2 + (-1 - 2 + 1)*(2*k - 2*k + k**2) - 5 + 9*k**2 + 5) in the form y + x*k**2 + w*k**3 + j*k and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -669*m**5 - 679*m?\nAnswer: -13380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 43*v**2 - 20*v - 41. Let g be o(22). Solve g*t = 2*n - 3*n - 8, t + 2*n = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*m + 47. Suppose m*l - 15*l - 8 = -4*w, l + 4*w = 8. Which is smaller: l or 1\/521?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 4. Let l(m) = 7*m + 10. Let z(y) = 4*l(y) - 10*o(y). Let a(v) = 13*v**2 - 1. What is z(a(f))?\nAnswer: -26*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.97055907 - 0.9706. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1320 - 867. Let u = c - 199. Does 45 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let o = -645 - -650. Let p(v) = 246*v - 40. Let j(l) = 164*l - 25. Let s(y) = o*p(y) - 8*j(y). Determine t(s(z)).\nAnswer: -13448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52771604.\nAnswer: 2, 17, 193, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*h**3*o*q + 103*h**3*q + 1941*h**3 - h*o wrt q.\nAnswer: 14*h**3*o + 103*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*4\/(-144))\/(2\/70)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31027 and 8.\nAnswer: -248216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17236*b + 13431*b - 5768*b.\nAnswer: 24899*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 11) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 145\/3 + (-8)\/(-12). Let w = b - 33. Suppose 0 = 5*j - 3 - 107. What is the smallest common multiple of w and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -232 + 282 - 4\/(12\/51).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = -v - 5*t, 9 = -3*v - 3*t. Let o = 0.8 - 4.8. Sort v, 2\/17, o in descending order.\nAnswer: 2\/17, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 32\/48)\/1. Let k be 2\/(-4)*(-2)\/5. Which is the third smallest value? (a) k (b) 0.1 (c) -0.4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 + 8272*r**2 + 179956*r - 188232 = 0. Calculate r.\nAnswer: -2046, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*n + 4718*n + 97 + 395*n.\nAnswer: 5005*n + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(684) + 0 + 1*sqrt(684))**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2086651 minutes in seconds?\nAnswer: 12.519906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 696597259 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 52 = -38*a. Suppose t - 58 + 7 = 0. Calculate the remainder when t is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, s: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22086 + -22061. Solve 4*r - 13 = -n*w + 22*w, -5*w + 5*r - 25 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1328567*r**3*x**3*z + r**3*x**2*z + 11*r**2*x**3 + r*x**3 - 746*r*z + 619*r wrt x?\nAnswer: 7971402*r**3*z + 66*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let m be n(-6). Let s(l) = l - 1. Let c(r) = -4*r + 8. Determine m*c(w) + 8*s(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/12 + 3*l**3\/2 + 13*l**2\/2 - 10*l. Let m be g(-7). Let n(y) = 6*y**2. What is the units digit of n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 711*r**2 + 1385*r - 5554. What is the ten thousands digit of f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -662 - -204. Is p smaller than -460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -224476.\nAnswer: -1\/112238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -25537?\nAnswer: -3\/25537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28*j + 90. Calculate g(-11).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j**2 + j)*(0 + 1 - 2) + (4 + 1 - 6)*(3*j**2 - j**2 + 0*j**2) + 0*j**2 - 2*j**2 + j**2 + 2 - 2 + 5*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 260628 or 260627?\nAnswer: 260628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/12)*v**(-45) assuming v is positive.\nAnswer: v**(-539\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55\/1037 or 0?\nAnswer: 55\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Let u(k) be the third derivative of v*k + 1\/12*k**4 + 0 + 1\/6*k**3 + 2*k**2. What is the derivative of u(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 10*r**2 + 10*r - 4. Calculate the remainder when 17 is divided by n(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2)*(-72)\/(-2). Suppose 5*r - 21 = -3*d + j, -2*d - 4*r = -40. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 24 = 6*c - 4*c, 0 = 2*c - 3*x + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 1. Let h = 2 - 4. Let s be v(h). Let c be (-2)\/((9\/s)\/(-45)). Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-515)\/3605)\/(2\/(-546)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a**4 + 8*a + 1 - 6*a**4 - 4*a**4 to the form i*a**2 + p*a**4 + f + s*a + x*a**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b - 2. Let z(f) be the second derivative of f**4\/12 + 7*f**3\/6 - 3*f**2\/2 + 24*f. Give -7*k(r) + 5*z(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d**3 + 340*d**3 - 7*d**2 + 7*d**2.\nAnswer: 270*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-19)\/9)*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600093353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/105)\/((-5)\/((-5)\/(-4)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95\/2 - 43. Let k(z) be the first derivative of 0*z - 8 - n*z**2 + 4\/3*z**3. What is the second derivative of k(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127924 rounded to six dps?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (649\/2655)\/(308\/84)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2)\/(-12)*-8. Solve -g*r - r - 26 = -3*s, 2 = s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-25))\/((-22)\/20 - -1). Let b(u) = u**2 - u + 4. Let t be b(0). Suppose d = -3*q - q - 10, -h*d + 8 = t*q. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1327248949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 4*q, 30 = -q + 33. Suppose 2*k - 3*f - 1312 = z, -10*f = 3*k - 5*f - 1930. What are the prime factors of k?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u**3 - 3*u)*(2 + 2 - 6) + (u - u - u)*(-2*u + 2*u - 5*u**2) as d*u**2 + t + p*u**3 + k*u and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/10)*s*s))**(-7\/5) assuming s is positive.\nAnswer: s**(91\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8980 is divided by 674?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:46 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22289*o + 22284*o + 23161*o - 90022*o + 7*o**3 - 4*o**3 + 22288*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 137 = -18. Suppose -4*x = -19 - r. Suppose -4*c = 2*f - 5*c - 162, -5*c + 324 = 4*f. What is the greatest common divisor of x and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3130, -2665, -1394, 1085, 5174, 11275, 19790?\n\"Answer: 67*s**3 + s**2 - 7*s - 3191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10415700*s*w**2 - 104*s*w - 2*s + 31*w + 27 wrt w.\nAnswer: -20831400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:46 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601665*5.\nAnswer: -3008325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 15*p. Suppose l - 3 = -0*l. Suppose -s + 4 = -4*x + l, -x - 3*s = -3. Which is the closest to x? (a) 5 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*g - 6 - 10, -2*d + 18 = -5*g. Suppose 0 = 2*l - d. Let b(a) = -8*a**2 - l*a + 2*a**2 - 2 + 3*a + a**3. Calculate b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/12*(-3412)\/(-8430). Let q = -2\/281 - u. What is the closest to 0 in -3, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 2*h, -9*h + 10*h + b = 2. Solve -n + 656 - 651 = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/18*(-1 - -3). What is the lowest common multiple of (99\/(-18))\/(x\/(-2)) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 17*v + 40. Let c be y(-19). Suppose 3*f + 6 = 0, c*i - i - f + 9 = 0. Let b = -26 + 15. Does i = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/13)*s**(-8)\/s*(s\/s**9)**50 assuming s is positive.\nAnswer: s**(-5319\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46035?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -91b5 (base 12) to base 16\nAnswer: -3dd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458102855 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317558185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9264 - 30*f + 29*f - 9536 + 518*f**2 wrt f?\nAnswer: 1036*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*c + 48*c + 69*c - 1 + 66*c.\nAnswer: -45*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 3, 0.4836, 0.3?\nAnswer: 0.4836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 - 200?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34720000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p. Calculate y(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 9*q + 4. Let f(i) = -i**3 - i**2 + 8*i + 3. Let p(s) = 5*a(s) - 6*f(s). Is 6 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 96*x + 12648. What is the lowest common multiple of z(-123) and 24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -303?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose -48 = -p*s - 4*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 - 12*l**3 - 12*l**2 + 28*l + 24 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y + 9. Give i(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -215, 393, 1237, 2311, 3609, 5125, 6853?\nAnswer: 8787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 486054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = h + 2*n, 0 = 2*h + n - 7. Let l be 32\/h - (-55)\/33. Let q(m) = m**2 - 8*m + 12. Let z be q(l). Let g(k) = k + 4. Give g(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 108 - 76. Let c(w) = -w**3 + 33*w**2 - 25*w - 14. Let v be c(z). Suppose 70 = 4*j - 14. Calculate the greatest common divisor of v and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574857.\nAnswer: 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 5*q**4 + 3*q**4 + (q**3 - 2*q**3 - q**3)*(q + 0 + 0) - 3*q**4 + q**4 + 3*q**4 + (4*q**4 - 2*q**4 - q**4)*(-2 - 1 + 2).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8168593 to the nearest integer?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 86.62. Let a = y + -0.08. Let g = a + 1.61. What is g rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*o = -285*o + 543*o + 2750 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*t - 5*l, t + 2*l + 6 - 5 = 0. Let a(f) = f - 7. Let n be a(8). Put t, n, 5 in descending order.\nAnswer: 5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*g = 10*g - 2854, -2*w = 5*g - 1898. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 787\/5. Sort -4, y, 176.\nAnswer: -4, y, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103825, 207649, 311469, 415285, 519097, 622905, 726709?\n\"Answer: -2*z**2 + 103830*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose -r + 2 + 0 = f. Solve 3*b - r = -2*d, b = -2*d - 2*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/(8\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3da5 + 1?\nAnswer: 3da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.52991 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5813528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17466, -69835, -157120, -279321, -436438, -628471, -855420?\nAnswer: -1117285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + u**2 - 6*u - 8. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 = -9 - 3. Let g(s) = -s**2 - 70*s + 299. What is g(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3305506 by 44669.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 45*h + 1. Let j be s(1). Let q = -26 + j. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 + 9723830*k - 29171535 = 0.\nAnswer: -1944769, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 7*j - 3*j. Suppose s + 5*h - j = 28, 0 = -4*s - 5*h + 129. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-2040))\/(10\/(-80)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -218. Let l = y + 217.000141. What is l rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + f - 6*f = 18, 5*c + 2*f = 6. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -53. Let b(w) = 2 + 4 - 17 + 4*w - 9. What is the tens digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + o**2 - 8*o**2 + (-1 + 3 - 3)*(3 + 2*o**2 - 3) - 3*o**2 - o**2 + 3*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 2*w - 3. Let p be h(2). Suppose b + 4*b = -2*j - 143, 5 = -5*b. Let t = 74 + j. What is the highest common divisor of t and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 5. Let o(i) = 9*i - 24. Let j(p) = 5*o(p) + 24*z(p). Let q(g) = -50*g - 28*g + 142*g - 35*g. Calculate q(j(n)).\nAnswer: -87*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1223*l**2 - 97*l**3 + 3*l**2 + 34429*l - 34430*l wrt l.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4031.7 + 4033. Which is greater: -143 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1444 + 2442. Let x = 997.194 - z. What is x rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z - 26*z + 501 - 13*z + 60*z - 38*z.\nAnswer: -32*z + 501","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78\/4)\/(((-3)\/(-1))\/18). Let s = 422 - 404. What is the highest common divisor of r and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*c**3 - 2 + (c**2 + 3*c - 3*c)*(2 - 2 + c) + 2 - 2 + c**3 - 4*c + 1019*c**2 - 1019*c**2 - 3*c**3 - 3.\nAnswer: -5*c**3 - 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -7613925.36 in increasing order.\nAnswer: -7613925.36, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*c = -355*c. Solve -2*v = -5*o + 15, -4*v + 4*o + 1 - 13 = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/70*5*(-8)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 2*i - 4652 = -5052. Calculate the least common multiple of i and 330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59758803.\nAnswer: 3, 13, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t**2 + 186*t + 409. What is s(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73648575\/466 - -158044. What is the common denominator of x and -65\/14?\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/11 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -9. Suppose r = q - 14, 3*q + z*r - 3*r - 26 = 0. Calculate the common denominator of q and -47\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 = -3*w + 35, -3*t + w + 14 = 0. Suppose 3*i = 4*n + 11, -t*i + i - 3*n = -57. Solve i = 2*r - 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -634 - 1875*n + 634 in the form g + a*n and give a.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/99 and 137\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/7 - 104338*r**2\/7 + 1670034*r\/7 + 849870 = 0. What is r?\nAnswer: -52185, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*c**2 + 143\/5 - 142\/5*c = 0. Calculate c.\nAnswer: -143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/2 - (5 - 2). Solve -21 = -x*u - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxav when four letters picked without replacement from bvfxcaf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 times -94.5\nAnswer: -57.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fbf + 17e?\nAnswer: -1e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 569453 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3519853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 404*b**5\/9 - 96*b**4 + 112*b**3\/9 + 808*b**2\/9 - 172*b\/3 + 56\/9 = 0?\nAnswer: -1, 14\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -507120 (base 10) to base 8.\nAnswer: -1736360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -4, -64\/143, 5.1, -23, -0.3?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/120 + q**4\/12 + q**3\/2 + 6*q. Let r(n) be the second derivative of f(n). Differentiate r(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 154*d + 830672 = 2775608. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 36*y**3 - y**4 + 30 - 29*y**3 + 7*y**4 - 5*y**4 + 0*y to l + f*y**4 + q*y**3 + j*y**2 + g*y and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0 - 1\/45*o**6 - 4\/3*o**2 - 2*o - 1\/15*o**5 + 1\/6*o**4 + 4\/9*o**3. Let d(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836797 less than 836796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -56. Suppose -6*k + 3*k + b = 3*a, 20 = a + 3*k. Let n = a - 5. Solve 23 = s - 5*o, s + 4*o = -n*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22359, 44726, 67093?\nAnswer: 89460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (3 + -3)\/4. Suppose -3*x + 60 = x - 5*v, 4*x = -t*v + 28. Suppose 3*u = -2*u - x. Sort u, -5, 2.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*k = 50833 + 233154, -2*x = 4*k - 283986. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 + 59 + 49 - (-7 + (-2 - -153))\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2070300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5574884 and 17164?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/41236 and 67\/7137.\nAnswer: 371124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - (13 + (2 - 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/12*(56364\/112)\/61?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(315)*-1 + sqrt(315))\/sqrt(7)*-2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 67. Find the second derivative of v - 5 - 37*v**4 + 1 - 5*v**i + 4*v**2 + 1 wrt v.\nAnswer: -444*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55916706 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -54*s**4 + 3*s**2 + 3*s + 55. Let i(a) = -55*a**4 + 2*a**2 + 2*a + 56. Let l(o) = 2*h(o) - 3*i(o). Differentiate l(m) wrt m.\nAnswer: 228*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 - -1)) + 0 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - i**2 + 0 - 3*i**3 - 1 + 0*i**2. Let n be q(1). Let j = -9.31 - -4.31. Which is the closest to 1\/4? (a) j (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3266\/414 + 2*-4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-152)\/(-32)*(-3 + 7). What is the highest common divisor of y and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o + 216. Let b = -51 - o. Solve 3*j - 9 = b*h, -2*j - 3 - 1 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/(2\/(-2085)). Let s = q + 3193. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 276 - 280 - 2*l. Let t = 6 - 3. Suppose -t*q = -7*q. Give k(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -501798*d**2*l**3 - 609*d**2*l - 18221*d*l wrt l.\nAnswer: -3010788*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 5. Let g be 69\/(-21) - (-2)\/7. Let y(i) = -5*i - 24. Let x = -5 - -14. Let q(m) = -m - 6. Let d(c) = x*q(c) - 2*y(c). Calculate g*d(v) + 4*a(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 13896868*i**2 - 12070176814652*i + 12070190711524.\nAnswer: -4*(i - 1)*(i + 1737109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 347 times -4\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/((-1)\/(-2)). What is the common denominator of c\/6 - (-25)\/65 and -87\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 19*q**3 - 2*q**2 + 4*q**2 - 2*q**2. Let f(j) = -9*j**3 - j. Let w(d) = 13*f(d) + 6*o(d). What is the second derivative of w(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 48*i**2 - 86*i - 676. Let k be v(50). Solve -r - 32 = -2*z - k, r = 4*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/90 - 9\/30. Put 2\/47, z, 2\/13 in increasing order.\nAnswer: z, 2\/47, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 208522818269 and 107.\nAnswer: 208522818376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12)\/(3\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:59 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in 0.3, 1633, -8\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, x: 4, a: 2}. What is prob of picking 1 a and 1 x?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c + 3*u - 924 = 0, -3*c + 29127*u - 29130*u + 36 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -685 + 487. Let b = i + 197.99902. Round b to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15123 divided by -42?\nAnswer: 5041\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h, 0*f - 2 = 5*f + 4*h. Let i be (f + 2)\/(11 - 13). Suppose -5*j = -l + 23 + 6, i = 3*l + 3*j - 177. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611295279.\nAnswer: 3, 7, 1447, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 2. Let g = 18 + -12. Factor 7*l**2 + l - l**4 - g*l**2 - 4*l**t + 3*l**3.\nAnswer: -l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 6, 288, -3 in ascending order.\nAnswer: -97, -3, 6, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16496672 + 8429795272\/511. Let q = a + 15\/73. What is the common denominator of -63\/8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose 5*d = 3*s - 3, -7*s + 3*d + 5 = -2*s. Let w be (-2)\/3*15\/(-2). Put s, o, w in descending order.\nAnswer: w, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 778. Let m(a) = 95*a. Determine m(f(o)).\nAnswer: 190*o - 73910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 158*j + 526. Calculate m(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-7) + (-78)\/14. Put a, 3, 4, -2 in increasing order.\nAnswer: a, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(5324) + 1 + sqrt(5324))**2 + (sqrt(5324) - ((sqrt(5324)*-2 + -2)**2 + sqrt(5324))))*-6 + -3.\nAnswer: -1056*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 8*h - 2*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 3*v**5\/10 - 5*v**3\/2 + v**2 + 5*v. Let n(j) be the first derivative of t(j). What is the derivative of n(g) wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)\/1 - -2. Suppose m*v = -0*v - 6. Let s be (8 + v)*2\/(-4). Let b(l) = l**2 + 3*l + 1. Determine b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 1672 - l**3 + 4*l**3.\nAnswer: 2*l**3 - 1672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176661 (base 12) to base 16.\nAnswer: -62f29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7059515*i**2 + 3529760*i**2 + 3529758*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -100120122221122 (base 3) in base 12?\nAnswer: -185642b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose 7*p - m*p + 0*p = 0. Solve -4*l + 20 = p, -6 = -j - 2*l - 0*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 90. Put -1, 0.018, h in descending order.\nAnswer: h, 0.018, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (171\/24 + -7)*8 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 6. What is the third smallest value in -0.06, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*-3*((sqrt(1539) + 1)**2 + sqrt(1539)).\nAnswer: 81*sqrt(19) + 4623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (-4*sqrt(304) + sqrt(19) - (sqrt(76)\/sqrt(4) + 0)**2) + 3)*-3.\nAnswer: 69 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfn when three letters picked without replacement from {z: 2, g: 1, j: 2, f: 1, n: 1, d: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, t: 3}. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.6. Let q = 60033.7 + -60034. Suppose 0 = -3*v - 5*u + 12, 2*v = -2*v - 2*u + 2. Which is the biggest value? (a) v (b) q (c) -1\/9 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1004, -5330, -9656?\nAnswer: -13982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15995 + 3981 + 4063 + 3978 - d + 4078.\nAnswer: -d + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113601247 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 2.9. What is the third smallest value in -0.1, t, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624 is divided by 368?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1353337 and 126881.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f**(2\/11)*f)))**(-30)*f\/(f\/(f\/f**(2\/15)))*f*f**6\/f assuming f is positive.\nAnswer: f**(233\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (95969*n + 6 - 102010*n - 6)*(87 - 2*n - 87 + 10*n**2) as c*n**3 + z + w*n**2 + d*n and give c.\nAnswer: -60410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 3476980?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3888 + 10?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1307899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 2*m**2 - 2*m**2 + 48 + 6*m**2 - 118 + 13.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*h - 25, -5*h + 48 + 17 = 3*t. Suppose h*w + 0 = 30. Let l = -0.09 + 0.09. What is the second smallest value in w, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1416041.0053 + -1416167. Let b = y + 126. Let j = b - 0.0052214. Round j to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*n**2 + 8*j**2*n - 34*n**2 - n wrt j?\nAnswer: -8*j*n**2 + 16*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6cb6 (base 14) to base 9\nAnswer: 28024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:57 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 8*q + 7. Suppose -6*v + 7 = -5*v. Let g be m(v). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/35318517 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 144. Let l(w) = -6*w - 147. What is 5*l(c) - 4*t(c)?\nAnswer: -6*c - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3294 and 125\/6?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 730274562.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11900, 48049, 108298, 192647?\n\"Answer: 12050*u**2 - u - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16*h + 6. Let a(k) = 3*k + 1. Calculate -11*a(o) + 2*b(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-170))\/(-22 + (-216)\/(-10)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -83454381*d**4\/5 + 171497926674*d**3\/5 + 1698004728*d**2\/5 + 5603982*d\/5 + 1233 = 0.\nAnswer: -1\/303, 2055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 15*y + 3 = 0, -v - 4*y + 105 = 106 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347 - 364. Let a(n) = -n**3 - 5*n**2 + 10*n + 3. Let j be a(-7). Let i = g + j. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128 + 9?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*v + u, 3*v + 2*u = 4*u + 129. Let w = -24 + v. Let i be -68*(0 - 4\/2). What is the greatest common divisor of w and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220452 (base 6) to base 11.\nAnswer: 12845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -24 + -49 - -106?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10*g = -576. Let w = g + -93. Factor 127*i**4 - 132*i**4 - 4*i**2 - i**2 - 10*i**w.\nAnswer: -5*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjss when four letters picked without replacement from {j: 7, s: 4, y: 4}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 110569717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/(13\/65). Suppose -t = -y*x - 4600025, 2*t + 2*x = 861140 + 8338850. What is t rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184210 and 117455.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 40635 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 0, -4*r + 2*r = 4*m - 6. Which is bigger: m or -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -586164 + 586164.719922. Let b = -0.8 + 0.08. Let p = b + y. Round p to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-1 - 2 + 4)*(272*z**3 - 248*z**3 - 586*z**3).\nAnswer: 1686*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 3*r**4 - 2081*r**3 - 7 - 9*r + 2081*r**3 wrt r?\nAnswer: -12*r**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11629464 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihhhhhi. Give prob of picking 1 i and 1 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -r + 9 + 23, -r - 13 = 4*t. Let v(k) = -2*k + 10. Let g be v(r). Suppose 0 = -4*f + 4 - 28. Is g greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -100 - 12 - 72 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*m = 28, -8*n - 3388362 = 4*m - 3388334 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*8*(-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**3 + 162*c**2 + 3*c - 12. Determine j(-11).\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**2 - 31*i - 1. Let y be w(2). Let b(s) = -s**3 + s**2 + s. Let g(d) = 4*d**3 - 5*d**2 - 16*d. Give y*b(a) + g(a).\nAnswer: -a**3 - 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 763143734 by -2715814.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 75*b**2 + 6. Let k(i) = 15*i**2 + 1. What is 22*k(g) - 4*s(g)?\nAnswer: 30*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q. Let l = 0 - -2. Let j(p) = 0 - 4 - 10*p - 12*p**2 + l. Let v(c) = -20*a(c) - 2*j(c). What is the first derivative of v(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/3 (b) 2\/13 (c) 4 (d) 2 (e) -149.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 3482961?\nAnswer: -3482956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.36 - -24.36. Which is the closest to r? (a) 6\/11 (b) -1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17c9 + 11a?\nAnswer: -16ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/85625858 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 - 363*m**2 + 98 - 93*m**2 as o*m + b*m**2 + c and give b.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13472118, -13472114, -13472110, -13472106, -13472102, -13472098?\nAnswer: -13472094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136404510 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 + 32*o**3 - 718*o**2 - 13*o**3 - 12*o**3 to the form t + x*o + r*o**3 + g*o**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 130*h**2 - 14*h - 72. Let k(r) = 43*r**2 - 4*r - 24. Let i(w) = 7*k(w) - 2*t(w). Differentiate i(b) wrt b.\nAnswer: 82*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6122, -24470, -55042, -97832, -152834, -220042?\n\"Answer: f**3 - 6118*f**2 - f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let a(w) = 29081*w**2 - 63 + 131 - 29056*w**2. Calculate v(a(t)).\nAnswer: -625*t**4 - 3400*t**2 - 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1209067.4\nAnswer: 120906.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15524704, -15524706, -15524708, -15524710, -15524712?\n\"Answer: -2*x - 15524702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhp when three letters picked without replacement from qqhhphhqhmq?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221023130 (base 4) to base 5.\nAnswer: -20344133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135571575?\nAnswer: 3, 5, 151, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (13 - 51)) + -16 + -5 + 36.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 2*n**4\/3 - 4*n**3\/3 + 9*n**2 - 13*n. What is the tens digit of f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 35, -45391 = -774*q + 772*q + 5*b. List the prime factors of q.\nAnswer: 2, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*d + 6*l + 13, 0 = d - 2*l - 4. Let g = -4 + d. Solve j - g = 0, -1 = 3*k + 3*j + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + 5*h + 5. Let p(w) be the first derivative of w**3\/3 - w**2\/2 - w - 4. Let l(b) = 10*p(b) + 2*v(b). Let m(g) = -4 + g + 4. Give l(m(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 1. Let o(y) = y**3 + 4*y**2 + 5*y - 2. Let p(h) = 5*k(h) + o(h). Let i(j) = -3*j**2 + 6. Let b(r) = -4*i(r) - 3*p(r). Differentiate b(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -157260, -157259, -157258, -157257, -157256?\n\"Answer: w - 157261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = i + 2*h, i = 2*i - 5*h - 284. Suppose -80 = -q + i. What are the prime factors of q?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (3 + sqrt(6)\/sqrt(3))**2) + ((sqrt(6) + sqrt(6)*-1)\/sqrt(3))**2 + -4.\nAnswer: -15 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 - 986 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose t = 3*k + 18, 2*t + 0*k - h*k = 28. Let v = 50 - t. Does 44 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1630150 and -101\/978090.\nAnswer: 4890450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 31 + 31 - 3*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2829427 or 2829450?\nAnswer: 2829450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-445)\/267 - (-32)\/(-6). Sort -1, d, -123, 0.\nAnswer: -123, d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -28, 563, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.027539, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -635234655 divided by 5\nAnswer: -127046931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.48319 months in years?\nAnswer: 12.9569325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -32. Calculate the remainder when 66 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(22*34\/(-12903)) + 18.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -23*l**5\/5 - l**4\/2 - l**3\/2 + 11*l - 2. What is the third derivative of g(s) wrt s?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 240 = -1224. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -112?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4534586418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 h when three letters picked without replacement from hhzhwzzhjhhhzzzhhhz?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 101*s**3 + 12*s**2 + 51*s + 17. Let k be h(-12). Let l = -119712 - k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 6*o + l, 2*o - 8 = 2*l. Suppose o*r - 5*r = 25. Let j(f) = -4*f**2 + 5*f + 4. Let d(m) = m**2 - m - 1. What is r*d(q) - j(q)?\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 26. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 8*b + 8*b + (-1 + 1 - b)*(-2*b + 0 + 0).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27045, -27047, -27049, -27051, -27053?\nAnswer: -27055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 24167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 less than 9\/2324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -97363 (b) -0.4 (c) 11 (d) 0.4 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose 3*z + r = -7. Is (z - -6) + 30 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 133361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*o - 9 = 0, 2*y + 3*y = 4*o + 19. Suppose -5*f - 9 = y*k, 2*f - 5*k = -k - 14. Is 669\/(3 + (f - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/39)\/c*c*c*c\/(c\/c**(5\/2)*c*c) assuming c is positive.\nAnswer: c**(121\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 36*v**3 + 5*v**2 - 4*v + 3. Let q(p) = -36*p**3 - 6*p**2 + 4*p - 4. Calculate 6*k(s) + 5*q(s).\nAnswer: 36*s**3 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = q + 19, -2*q + 2*p = -14. Suppose -s + 3 = 2*r, 4*r - 41 = 3*s + q*s. Let k(i) = 6 + r*i + i**2 - 2 + 4*i + 2. Give k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -144. Calculate the remainder when g is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*25\/((-5)\/1). Solve f + 6 = 4*q + 4, b*f - q - 9 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 2*m - 117 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247738211 to the power of 1\/2, to the nearest integer?\nAnswer: 15740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*(-6 + 1). Suppose 24 = 5*m - m. Solve -m*i - 10 = -i + 5*k, -i - d = -k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177320885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8100 and 3645.\nAnswer: 72900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4364 - -4480. What is the greatest common factor of 1479 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -257 + 63 - -82 - -48.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 142.4. Sort 3, m, -4 in increasing order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 + 3*u + 2. Let s(g) = 13*g**2 + 2*g + 2. What is -2*c(j) + 3*s(j)?\nAnswer: 11*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34100 or -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27\/238 + -65\/476. What is the nearest to m in -3, -6, 0.1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -38. Suppose 0 = -7*s + x*s + 15. Let j(w) = -2*w + 12. Let p be j(6). Solve p = -s*m + 4 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-8) - (-140)\/(-40))\/(1\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(1620)*-6)\/((sqrt(45) - -4*sqrt(180))\/sqrt(5)*-4).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:27 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(10\/3)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34349.1 - 34349. Which is the fourth biggest value? (a) u (b) 2\/7 (c) 5\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-18) + 16\/18. Let t be (0\/(o + -4))\/1. Solve t = -7*g + 2*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 958, -11 in decreasing order.\nAnswer: 958, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -523182 - -8\nAnswer: -523174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcc when three letters picked without replacement from {c: 7, q: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - k - 1. Let j be x(1). Let t(b) = b**2 + 8*b + 3. Let c be t(j). Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 4790*a**2 + 176525*a + 1587000.\nAnswer: 5*(a + 15)*(a + 23)*(a + 920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37777122037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/12 - q**2. Let p = -227 + 229. Let u(d) = 0 - 333*d**2 + 2 + 331*d**p. What is u(x(a))?\nAnswer: -8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 22. What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7407.71 micrograms to grams.\nAnswer: 0.00740771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/35)\/(-8))\/((-6)\/28)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10)\/(-40)*(7 + -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + (-2)\/(-6). Let u(o) = -o + 3. Let a be u(g). Suppose 0 = a*m - 5*q - 99, -99 = -3*m + q - 4*q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-54)*150 - 14. Solve b*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 + h - 14. Let y be p(13). Let g(d) = -83*d - 6. List the prime factors of g(y).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d - 67. Let s be t(9). Let l(k) = -2*k**2 + 15*k - 25. Let q be l(s). Solve q = -4*v + 5*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 145*d**2 - 304*d + 11. Let g(z) = -29*z**2 + 61*z - 2. Let a(h) = 11*g(h) + 2*p(h). Find the second derivative of a(q) wrt q.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (3 + 2 - 15). Suppose -3*n + p + 7 = 0. Suppose -4215 = -19*r + n*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*18439\nAnswer: 5531.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 30. Let x be z(5). Suppose 2*n + n - 71 = -y, -x*n + 119 = y. Calculate the remainder when n is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4187 and 3950?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 39*o**2 + 6*o - 17. Let j(s) = s**3 + 6*s**2 + s + 2. Calculate 6*j(t) - q(t).\nAnswer: 5*t**3 - 3*t**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -8 - (3 + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7164 or -470.8?\nAnswer: -470.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2244 (b) -166 (c) 2\/7 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 79*d - 2. Let g be r(2). Suppose -258 = -5*q - 3*l, -2*q - q = 3*l - g. Suppose -j + 2*f = -q, 4*j + f = -j + 233. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13636 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4259 + -8347\/2. Let o = q + -84. Find the common denominator of 22 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390075901.\nAnswer: 390075901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17364228*n**4 + 106391062?\nAnswer: -69456912*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*d = -23, 0*f = -3*f + d + 1. What is the third derivative of -s**f - 2*s**2 + 3*s**3 + s**2 - s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1297 - -1541. Solve 2*c = -242 + a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*p - 1 + 16, 0 = -5*a + p + 89. Let t = a - -29. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 354\/112219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14388795, -14388794, -14388793, -14388792, -14388791, -14388790?\n\"Answer: p - 14388796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*((-8)\/2)\/68.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2566, -2927, -3266, -3583, -3878, -4151, -4402?\n\"Answer: 11*a**2 - 394*a - 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/r*r**(-2\/5)*r**(-8)\/((r*r**1)\/r) assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204704 = 11946*k + 37460 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 238, 529, 866, 1243, 1654, 2093, 2554?\n\"Answer: -x**3 + 29*x**2 + 211*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w. Let a(c) be the third derivative of -c**5\/60 + 220*c**3\/3 - 7381*c**2. Determine b(a(s)).\nAnswer: 6*s**2 - 2640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8430469.\nAnswer: 71, 118739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.09 - 1.49. Which is the nearest to 1\/4? (a) 2\/9 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000049336 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*m - w - 23, 4*w + 46 = 2*m. Calculate the remainder when 718 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.9 - 61.83. Let r = -6.05 - b. What is r rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 97. Let h = r + -33. Suppose 140 = 5*f + 3*i, i + 3*i - h = -f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 10*c - 1 = 12*c - 4, -4*c + 92 = -8*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**4 - 3*n**4 + 4*n**4)*(-78 + 117 + 264 + 338) + (2*n**3 - 4*n**3 + 4*n**3)*(-n - 2*n + n) + 2*n**2 - 3*n**4 - 2*n**2.\nAnswer: 5762*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648) - sqrt(648) - -1*sqrt(800))\/((-2*sqrt(576) + sqrt(576))*-1).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -2*h, 166*h - 167*h + 4*r - 22 = 0. Solve -u - 2 = 5*x, -6*x = -4*x + h*u - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12482 is divided by 1037.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*b**2 + 3.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**3*r + 625517*j**3 + 1434*j**2 + 675*j*r wrt j.\nAnswer: -30*r + 3753102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177949*l - b = 177952*l - 21, -3*b + 53 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0.4, -0.2 in ascending order.\nAnswer: -25, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*v + 62 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1591*r**5\/60 + 529*r**4\/8 + 1920*r**2. What is the second derivative of s(h) wrt h?\nAnswer: -3182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 + 3*c + 2. What is the remainder when 79 is divided by g(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -52?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 6*d**4 - 4*d**4)*(d - 4 + 12 + 4).\nAnswer: 2*d**5 + 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p**3 - 176*p**3 + 259*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*s + 575*s + 17827 = 62*s - 4525 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from bbmmmbbmbmbbbbmbmmbm.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 372\/27 + (-2)\/(-9). Let u be 3\/(-2) - -33*56\/48. Let x = -5 + 8. Solve x*m = a - 0*a - c, -4*m = -5*a + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/14)\/((-368)\/644).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 35 = -3*n - 2*n, 36 = 4*n - 4*p. Suppose w - 47 = -3*k, -n*w - 3*k + k + 208 = 0. Suppose 2*q = 211 - w. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43137 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.5, -1\/3, 1\/9, -3\/7, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-3) + (-1350)\/810.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s + 26*s - 9*s - 11 - 6*s + 10. Let t(f) = 2*f - 8. What is t(m) + 3*x(m)?\nAnswer: -m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(3\/10)*l**(-37)*l assuming l is positive.\nAnswer: l**(-337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, a: 1, z: 1, u: 2, e: 1}. Give prob of picking 1 a, 1 s, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348636079.\nAnswer: 7, 192662297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -10 + 3 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 14*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-932)\/(-180) + 4\/18)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 22 + 5*t**2 + 10*t**3 + 31*t - 9*t**3 - 2*t**2 - 32*t**2. What is the remainder when w(28) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k + 1. Let j = -138 + 81. Let q = j - -107. Calculate the remainder when q is divided by g(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7758644, 15517313, 23275982, 31034651, 38793320?\n\"Answer: 7758669*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 281, 562, 843, 1124, 1405?\n\"Answer: 281*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 167 = 11*r, 5*c + 42502 = -3*r + 42895 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 7)*(-3*w**3 + 2*w**3 - 9*w**3)*(0 + w + 0) to the form v*w**3 + y*w**4 + l + m*w + j*w**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/57)*f*f**(-1\/21))**22 assuming f is positive.\nAnswer: f**(2684\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -37, -126, -303, -598, -1041, -1662, -2491?\n\"Answer: -5*a**3 + a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 32. Let r(a) = 2*a**2 - a. Let z(u) = 2*u**3 + u**2 + u - 2. Let g be z(1). Let h(q) = 442*q**g + 2*q - 441*q**2 - 3*q. Determine p*r(b) - h(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 4*p + 3*p + 688 + 332 - p.\nAnswer: -8*p**2 - 2*p + 1020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let u = -63 + 60. What are the prime factors of (-1)\/(((-3)\/u)\/(-138 - h))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196433 * -1.\nAnswer: 196433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(484) + sqrt(484))*-4)\/(sqrt(66)\/(sqrt(30)\/sqrt(5))).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3338222492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35879\/27 + -1329. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + d + 4*d - 12, -16 = 5*c - 3*d. Let s be 0 - (2 - 2 - 5). Let q = 4 - s. What is the third smallest value in 0, c, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -602*o**2 + o + 13. Give z(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48848 and 994?\nAnswer: 341936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -733 (b) -2 (c) 0 (d) -73 (e) 28 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 7*w - 13. Let p(n) = -n - 1. Let s be p(-10). Let m be i(s). Calculate the highest common divisor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 266 = 2*i, -5*i - 157 = 54*v - 55*v. What is the remainder when 338 is divided by v?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 289, 411, 513, 589, 633?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 180*j**2 + 5184000*j + 1970749440.\nAnswer: -5*(j - 1188)*(j + 576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 368*z - 45 + 89 - 43 + (-3 + 3 + 2*z)*(1 + 3 - 2) - 3*z - 2*z + 4*z - 3 + 3 + 3*z.\nAnswer: 374*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = 3*o - 598. Calculate the greatest common divisor of o and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.76, -0.02, 2, -0.4, 0.1 in descending order.\nAnswer: 2, 0.76, 0.1, -0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4522 + -4495. Calculate the remainder when 8528 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2560575 * -0.3\nAnswer: 768172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*g**2 - 11*g**3 + 2 + 34*g**2 - 2 to the form p*g + l*g**2 + s*g**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1 - -5) + -9. Let x be 13 + h + (0 - 3). Suppose -21 = -x*c + 31. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23226, -23235, -23256, -23295, -23358, -23451, -23580, -23751?\nAnswer: -23970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3797 = -5*w, 753 = w - 91*m + 90*m. Let c = -551 - -584. Calculate the remainder when w is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1359950 and 14750?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-178 + 177)*(0 + 0 + 0). What are the prime factors of 1 + x + 134 - (-7 + 13)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286553377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + sqrt(95)*-1)*4 + (sqrt(95) + (-4*(-1*sqrt(95) + sqrt(95)) - sqrt(95)) + sqrt(95) - sqrt(95)))\/(-1*sqrt(405)*-5 + sqrt(405)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -326 or -323?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10154267 is divided by 2538565.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 394 = -3*g, -3*g - 77 = 3*a + 313. Let s = 252 + g. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*173173534\nAnswer: -34634706.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 27 = -l - 8*p, -5*l - 2*p - 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 88. Which is the second biggest value? (a) 2\/5 (b) g (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13768729 divided by -24631.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**3 - 2*r**2 - 73. Let o(t) = -26*t**3 - 5*t**2 - 147. Give -9*n(v) + 4*o(v).\nAnswer: 13*v**3 - 2*v**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -25291?\nAnswer: 25292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 5033*a**2\/2 - 19*a - 48. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419848 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {g: 1, m: 2, p: 5, s: 1, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 26 + 8. Suppose -d*h - 7 = 17. Let i be 3\/(h\/10)*48\/30. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9. Let s be o\/(-1) - 18\/(-3). Let k(x) = -s - x + 5 + 2*x. Let l(r) = r**2. What is k(l(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddggddgggdgdddggddg. Give prob of sequence ggdd.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 2*m**2 - 4*m + 7. Let d be y(2). Suppose d*j - 931 = 469. Calculate the highest common factor of j and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2178 and -2176 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17759 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2124043 (base 5) to base 9\nAnswer: -54524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -1309, -1335, -1361?\nAnswer: -1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + (13 - 10) + 2217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2*i**2 - 3*i + 4. Let b be v(4). Let n = b - -3. What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-5 - 2) + -49 + -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106160369.\nAnswer: 7, 15165767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 3*n**2 - 3*n - 2. Let p be u(-2). Suppose p*k - 2 = -k. Suppose 0 = -g + k*g - 2. Solve 5*o + 3 = -g*x, -x = o - 5*o - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/8)\/((2679\/152)\/47)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + -0.15. Let h be 5\/(-10)*(-414)\/(-15). Let y = h + 15. Sort a, y, -4.\nAnswer: -4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 78*y + 150. Give w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114227087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 12*g**2 + 5*g + 22. What is the least common multiple of b(-4) and 61?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58805719?\nAnswer: 7, 317, 26501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 - -165. Suppose 0 = 3*u + 2*k + 2 - 118, -u - 5*k = -r. Suppose u = 8*f + 16. What is the third biggest value in f, 2, 5, -1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -388028?\nAnswer: 388025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 112207\nAnswer: -112207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 129*o + 3623. Calculate x(87).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-14))\/(-4*(-3)\/(-42)). What is the second derivative of -19*g**4 + 6*g**f - 3*g + 9*g wrt g?\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*x - 70 - 167. Solve 5*p + x*z + 9 = 0, -p - 11*z - 9 = -8*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -408, -3525, -12056, -28731, -56280, -97433, -154920, -231471?\n\"Answer: -455*c**3 + 23*c**2 - c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 + 2*j**2 - 12466240*j + 140432887 with respect to j.\nAnswer: -6*j**2 + 4*j - 12466240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 132. Let k be s(59). Let m(u) = u**2 + 43*u - 92. What is m(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*k**3 - 19*k**3 + 110*k**3 - 12*k**3 - 9*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -3, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 48*z = r + 8, -4*r + 4*z = 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12*h**(-2\/25) assuming h is positive.\nAnswer: h**(298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-27)\/(-108))\/(1\/(-8)))\/58)\/(3\/(-9))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(sqrt(3) + (sqrt(3) - ((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3))) + 4)*-3)**2.\nAnswer: 1152*sqrt(3) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f - 680. Suppose 3*o = 8*o - f. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873555041.\nAnswer: 3873555041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*a + 3*h - 40 = 271*a, 3*a - 40 = 7*h for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = 7. Let z(p) = -4*p**3 + 5*p**2 + 7*p - 5. Let s(q) = -4*q**3 + q**3 + 0*q**3 + 2*q**3 - 1 + q + q**2. Give a*s(b) + z(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (546\/12)\/((-894)\/1788)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/3*378\/(-56)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.4852 centuries in millennia?\nAnswer: 93.04852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 8. Let f be y(-10). Suppose 11 + 11 = -f*s. Let v(j) = j**3 + 10*j**2 - 12*j + 13. What is the tens digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let g(m) = 7*m**2 - 6*m. Let j(v) = 13*v**2 - 11*v. Let b(o) = 11*g(o) - 6*j(o). Calculate b(n(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 51 = -a, -4*a + 6*a - 4*k - 112 = 0. What is the remainder when a is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 25*k**2 - 52*k + 2. Calculate the least common multiple of z(27) and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 55) + (39 + -20 - 1) + -13?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*g**3 + 163*g**3 + 748*g**3 + 0*g**2 - 2*g**2.\nAnswer: 677*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 19. Let r = x - -11.7. Let c = -4.69795 + r. What is c rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4450 - 4390. Solve -17*t = -42 - x for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 767*v - 203257. What is r(265)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382760 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*r = 143*s + 1169*r - 5008, 8*r + 23 = s + 12*r for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 279 and -328967.\nAnswer: -328688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45314 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 1, j: 2, q: 2, o: 5, i: 3}. What is prob of picking 1 h and 1 v?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5365.\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -23*h**3 - h**2 - 3*h - 2. Let d be f(-1). Let l = 1 + d. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-8)\/10 + 1. Let s(f) be the third derivative of -f**5\/60 + f**3\/6 + 4*f**2. Let n be s(-1). Which is the nearest to n? (a) g (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*j**2*t**3 + 23*j**2*t + 18*j - 38*t**3 wrt j.\nAnswer: -68*t**3 + 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25933934695437 + -25933935247836.56660074. Let r = -552340.5666 - l. Let a = -59 + r. What is a rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2*z**3 + z + 5*z**3 - 9 + 9 - z**3 + 3*z**3 - 3*z**3 + (2*z**2 + 2*z**2 - 2*z**2)*(3*z + 3*z - 4*z) + z**3 + 0*z**3 + z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-3 - -3) + -2). Let j(r) be the first derivative of -2\/15*r**6 - 3 - 1\/10*r**2 - 3\/4*r**4 - 13\/25*r**5 - 7\/15*r**3 + x*r. What is s in j(s) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*s - 348*s - 371*s + 1084*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - 2*sqrt(36))*-6)\/sqrt(9))\/(5*(sqrt(288) - (sqrt(288) + sqrt(288)*1 + sqrt(288)))).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(24)\/(sqrt(3) - (sqrt(3)*-1 + sqrt(3))) + 5)*5.\nAnswer: 10*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, 7530 in descending order.\nAnswer: 7530, 21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + p**2 + p. Let m = 4400 + -4401. Give w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 - (-4 - (-3 + 1 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let p = 28 - 23. Suppose 0 = -p*t + 3*u - 5, 4*t - 2 = -u + 11. Let s(f) = 0*f**t + f**2 + 0*f**2 - 4*f**2. Determine v(s(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216) + -1 + sqrt(1216)))**2.\nAnswer: -512*sqrt(19) + 77840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152931.21 months to years.\nAnswer: 12744.2675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 23*l + 70 = 24*l, 5*v + 2*l = 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*r*w**2 + 11*r - 1941*w**2 with respect to r.\nAnswer: 134*w**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8918, -17835, -26752, -35669, -44586, -53503?\n\"Answer: -8917*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/4 - 149\/12. What is the third biggest value in p, -2\/23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27821798 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l**2 + l. Calculate q(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-20) - 4 - (-9)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597.3817 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 35*m**4\/6 - 157*m**3\/6 - 11*m**2\/2 - 3*m - 22. Let n(q) be the first derivative of u(q). Differentiate n(z) wrt z.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 26*s - 99. Determine a(-13).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 180\/9 + 7 + -11. Calculate the greatest common factor of 6416 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 - 60300*l**3 - 180914*l**2 - 120612*l = 0. What is l?\nAnswer: -2, -1, 0, 30153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/36*0*(-3)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/12 - t**3 - 8*t**2. Let l be f(-4). Suppose -1 = l*a - 5. Solve 0 = -y - a*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*l**2 - 109*l**2 - 113*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 2, -6, 5 in decreasing order.\nAnswer: 14, 5, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5196*u + 10362*u - 5206*u + u**3.\nAnswer: u**3 - 40*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 5*x - 6*x in the form j + z*x and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -484 + 484.000000184. What is z rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1 - (-208)\/170. Let f = h + 3\/17. Let l(u) = -39612*u + 237675. Let n be l(6). What is the closest to f in -2\/3, n, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 25*x - 20*x + 25*x.\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2182*d**3 - 1749972*d + 1749972*d.\nAnswer: 2182*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/30 + -7\/6. Let t = 0 - 1. Which is the third smallest value? (a) x (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -196 - 6604?\nAnswer: -679a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -25, 5, 38, -5 in increasing order.\nAnswer: -25, -5, 4, 5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9346 - -19149. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*i + 84*i = 5*i - 370 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.26702, 0.3, 5, -2?\nAnswer: -0.26702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 48*s**2 - s - 22. Let u be y(-24). Let k be ((-22)\/(-4) + -2)*u. Put k, 5, -4, 1 in increasing order.\nAnswer: -4, 1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 3 (c) 9 (d) 0.2 (e) 0 (f) 8658\/17 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njwea. Give prob of picking 1 j and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.41212 and -24494.\nAnswer: -24493.58788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3576, 13802, 30718, 54324?\nAnswer: 84620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 10843\/127?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 - 3*w**3 - 2 - w + 6*w**3)*(11 + 242 - 59 + 0 + 1 + 0 + (-3 + 1 + 1)*(-4 + 2 + 1)).\nAnswer: -392*w**3 - 196*w - 392","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106224 is divided by 35404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 1. Give d(10).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - c = -19, -4*c + 0*c - 8 = -m. Let o be 0 + 2 + -2 + m. Let n be o\/8 - (-241)\/2. Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*h + 9, 24*r - 27*r - 12 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 1. Let m = 4 + -2. Suppose -2*k + 0*h = -3*h + 13, -m*h + 15 = 5*k. Is k smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:25 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -0.421, 0.3, -2\/21 in descending order.\nAnswer: 5, 0.3, -2\/21, -0.3, -0.421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128367)\/15102*(1 - -3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*d + 2 = -1207*d + 3*x, -3*d = 3*x + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 + 8*y - 4. What is g(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 17688?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - f = 4345875, -2*l - 24*f + 22*f = -2172940. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*f + 62*f - 6 + 6 = 0. Which is the closest to 0.72? (a) -1\/3 (b) -14 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1450 divided by -58.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a430 + -12?\nAnswer: -18a442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20897645?\nAnswer: 5, 89, 151, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 948092 or 948094?\nAnswer: 948094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**5 + 15950*z**4 - 3459690*z**3 - 31670157420*z**2 - 189925812315*z - 284840722530 = 0.\nAnswer: -2229, -3, 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. What is the greatest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4041*s - 4012*s + 1 - 1 = 0. Let t(q) be the third derivative of 0*q + s + 0*q**5 + 0*q**4 + 14\/3*q**3 - 18*q**2 - 11\/30*q**6. Differentiate t(l) wrt l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 2)*(5*o + 0 + 0) - 2 + 2 - 5*o)*(3*o**3 + o**3 - 5*o**3).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*m**3 - 179*m**3 + 97*m**3 - 90*m**3.\nAnswer: -59*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3699*s**2*t**2 + s**2*t - 1050*s**2 - 2*s*t**2 wrt t?\nAnswer: 7398*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 101 = -3*j + 68, -2*j = -3*x - 117. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26 + -16)\/((16\/6)\/4) is divided by -1*(-6 + 1)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3240*q**5 - 2*q**2 - 623*q - 1 wrt q.\nAnswer: 64800*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*b + 56 + 712*b - 53*b + 239*b.\nAnswer: 1138*b + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**3 - 3*f**2 + 101*f - 99. Let w be m(1). Determine y so that w + 144\/5*y**2 - 4\/5*y**3 - 141\/5*y = 0.\nAnswer: 1\/2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.430026l?\nAnswer: 430.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 2009?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447*h**2 - 16*h - 8262.\nAnswer: -894*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c0db - 638?\nAnswer: 4b8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3603, -7216, -10841, -14478, -18127, -21788, -25461?\nAnswer: -29146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1176) + sqrt(1176) + (-2*sqrt(1176)*-1 - sqrt(1176)) + sqrt(1176)))\/(sqrt(64)\/(sqrt(8)*1) - 2*sqrt(800)).\nAnswer: -84*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2935 + 15797 = 252*p, -6*k + 0*k - 11*k + 20 = -13*k for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 146 + 157 = -k + 9*k + 103*k, -52 = 2*p + k for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132904 by 2.\nAnswer: 66452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 141d3 - -c2?\nAnswer: 142a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) 0.05 (c) -1 (d) 0 (e) -95.3 (f) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1725319 + -1725335.99942. Let f = 0.41 + 16.59. Let g = f + a. What is g rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62250 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 12. Let j be u(-9). Let y be (198\/45 + -8)\/(1\/(-60)). Let d be 18\/y + (-1)\/(-4). Which is the closest to d? (a) -0.04 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/8)\/((-1)\/(-2)). Suppose 4*n + v - 17 = 0. Suppose -3*g + 25 = 4*p, -5*g + n*p - 1 = -p. Is g < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/21)\/(-4)*-938*51\/(-952)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 35. Let b(m) = 65039 + 46*m - 65039 + 6*m. Calculate i(b(h)).\nAnswer: -52*h - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4570 by -9.\nAnswer: 4570\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvxxvxqxqxxqq. What is prob of sequence xx?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 + 9. Suppose -m*s + 29 = -4. Solve -3*z + 4 = -s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 73, -181 in ascending order.\nAnswer: -181, -91, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let z(o) = -1092*o + 804. What is z(t(c))?\nAnswer: -2184*c**2 + 804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 842, 734, 626?\n\"Answer: -108*w + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -15*n + 9*r + 67, 2*n + 2*r + 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*s**2 - 86*s**2 + 102*s**2)*(-4 + 0 + 5) - 5*s - s**2 + 2*s + 0*s**2 to a*s**2 + c*s + g and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1890)\/216)\/(((-2)\/8)\/((-25)\/(-25)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let a(q) = 21740*q**2. Determine a(i(r)).\nAnswer: 86960*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-1))\/(-8) + (-81)\/(-2). Let g be (4\/6)\/(4\/24*t). Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1047, -2102, -3157, -4212, -5267, -6322?\n\"Answer: -1055*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y. Let p(x) = -30*x. Let a(o) = 4*p(o) - 25*r(o). Let u(h) be the second derivative of -7*h**4\/12 + 2*h. What is u(a(d))?\nAnswer: -175*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 7, j: 2, s: 7, k: 3}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205*a**5 + 49*a**2 + 2*a.\nAnswer: 12300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 343780 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r**3\/9 - 652*r**2\/3 - 212552*r\/3 - 753. Let n(p) = 0. What is p?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 2 + sqrt(11) + (sqrt(77)\/(sqrt(63) + sqrt(7)))**2 + 3 + 3 - (-2*(sqrt(891) - 3*sqrt(891))**2 - (-5 + sqrt(891) + 1)).\nAnswer: 13*sqrt(11) + 114123\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124401*d - 62164*d - 17 - 62237*d + 3*d**3.\nAnswer: 3*d**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -0.1126 (c) 1730\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 times -84711?\nAnswer: -140620.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3047, -5822, -8289, -10448, -12299?\nAnswer: -13842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.7 (c) 19 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*q - 36584 = -651*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -6.4. Let y = v + 6.3. Which is the closest to y? (a) -0.1 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 178*v + 3222. Let p be z(-18). Solve 3*r = -3*q + 6*q + p, 5*r + 3*q - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -c + 10, 8*c - 11 = 6*c + 3*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -339. Let n = -158.993 + p. What is n rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i + 114. What is y(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30187 - -30191. Solve -5*i = -c*q - 33 + 38, 2*q = -3*i + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 89135558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43\/21 + -19\/7. Let j be (-2)\/3*(-3)\/(-4). What is the nearest to j in o, -0.2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 5\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(209) - (sqrt(209) + -2*sqrt(209) + sqrt(209)) - sqrt(209) - sqrt(209)))\/(sqrt(396) + -2*sqrt(396))*-5)**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - 10. Let h = 40 + n. What is the smallest value in -2\/9, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1053))**2*-3 - (sqrt(91) + 5*(sqrt(91)*-3 + sqrt(91) - sqrt(91)))\/sqrt(7).\nAnswer: -28431 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -14.3. Let u = 19 + -23. Sort h, u, 0.4.\nAnswer: u, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28395 and 2205?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25619 from -138958568.\nAnswer: -138932949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 17 = -2*h + 39*t, 0 = -5*h + 4*t + 44 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 0.01 (c) 3 (d) -34205 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*g + 42 = 8*r, -4*r + 2*g = -58. Let v = 27 - 19. What is the highest common divisor of r and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -16. Sort q, 1, 5 in descending order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 2*w - 2*w - w**2 + w**2 - 2*w**3 + (2*w**2 - 2*w + 2*w)*(-4*w - w + 4*w) + 4*w**3 - 3*w**3 - 4*w**3 + 5 + 5*w**3 - 7*w**3 - 2.\nAnswer: -8*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**5*o**(-1\/14)*o**(-5)*(o**4*o**(-2\/9))**18 assuming o is positive.\nAnswer: o**(8069\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/5 + 26*b**2\/5 + 120*b = 0.\nAnswer: -12, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -18*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from elmemlmmvmoe?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11495*k**4 - 3*k**3 + k**2 + 24957*k + 1?\nAnswer: 275880*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 40\/771, 1\/14 in decreasing order.\nAnswer: 1\/14, 40\/771, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28973235 divided by 15.\nAnswer: -1931549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let c(u) = -27*u**2 + 72*u. Suppose -2*m = -3*m + 108. Let r(d) = d**2 - 2*d. Let b(t) = m*r(t) + 3*c(t). Determine g(b(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 34*i**2 + 9*i - 1220. Let u(l) = 15*l**2 + 4*l - 610. Calculate 4*f(k) - 9*u(k).\nAnswer: k**2 + 610","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*a = -2*a - 8, 0 = -62*a + 57*a. Solve -28 = -4*p, -4*d + h*p - 12 = 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361198.\nAnswer: 2, 59, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -181171, -3, 4 in decreasing order.\nAnswer: 4, -1, -2, -3, -181171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -870659 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 361316 from -5467500.\nAnswer: -5828816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t - 39*t + 203*t - 76*t - 62*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3717, -4565, -5413, -6261, -7109, -7957?\nAnswer: -8805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 1234.\nAnswer: 21\/1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -258*b - 17. Is g(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 - 82.70787\nAnswer: -82.71487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-1)\/6). Let g(r) be the second derivative of r**3 - 5*r**2\/2 - r. Is g(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1169*n**3*y**3*z - 2*n**3*y**2 - 156*n**3*y + 4*n*y**3 + 13*n*y**2 - 3*y**3 + 360*z wrt z.\nAnswer: -1169*n**3*y**3 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*x + 20. Let f = 0.444 + -0.65. Let l = -0.706 - f. Which is the nearest to 2? (a) l (b) 3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84736235 divided by -5?\nAnswer: -16947247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9174438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 143*w**2. Let h(n) = -1460080*n**2. What is j(h(r))?\nAnswer: 304852205715200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 176*a**3 - 7*a. Let h(j) = -14*j + 9*j + 128*j**3 + 3*j - 69*j**3. Calculate 7*h(f) - 2*t(f).\nAnswer: 61*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15654, 64168, 145028, 258234, 403786, 581684, 791928?\n\"Answer: 16173*p**2 - 5*p - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*z + 358, -z - 104 + 629 = 3*r. What is the highest common divisor of r and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:45 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 + 10*c - 8. Let t be d(9). Let r be 1\/(t + (-8)\/12). Suppose -r*q = 1 - 7. Solve -q*b + 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -155744.\nAnswer: -155744, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 10, 14, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -0.13135\nAnswer: -5.5167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32555513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 147919 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-206)\/(-1236))\/(5\/30*(-18)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-198)\/(-24) + -6 - (12\/16)\/3. Factor 1\/7*r**4 + 0 - 1\/7*r + 1\/7*r**3 - 1\/7*r**n.\nAnswer: r*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12085889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 33*g**2 - 11*g. Let d be q(-5). What are the prime factors of d\/7 + 0 + 6\/21?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f. Let l be -2*(-1 + (-2)\/(-4)). Is k(l) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let j(k) = -k. Let s = 231 - 160. Suppose -4*f - 55 = -c, 3*c - 2*c + s = -5*f. What is f*j(n) - 4*i(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2 + 2)*(t + 0*t + 0*t) - 2*t**2 + t**2 + 3*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -0.5 (b) 4.5 (c) -5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:47 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -3, 17, 7210, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -7. What is the units digit of (78\/(-9))\/((-4)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Find the second derivative of 0*d**m + 4*d - 6*d - 2*d**2 + 0*d wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8055 divided by 5\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 4237*l**3 + 46430*l**2 + 236596*l + 253560.\nAnswer: (l - 4226)*(l - 15)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 185\/15 + 4\/30*5. Suppose 237 = -w*k + 10*k. Do -79 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 15*k + 592. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339 - -342. Suppose r + 4 = 2*x, 0*r - 4*x = -k*r - 6. Let n be (-44)\/(-2)*(-1 - -2). What is the highest common factor of r and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 26.8?\nAnswer: 26.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -116169460.5992.\nAnswer: -116169510.5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33997277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14092*o = 13803*o - 6358 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -61*g**5\/60 + 68*g**3\/3 + 28*g**2 - 118*g. Let w(o) be the first derivative of q(o). Differentiate w(v) with respect to v.\nAnswer: -122*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:56 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srss when four letters picked without replacement from {s: 19, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 94.15057 minutes?\nAnswer: 5649034200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -66)\/((-51)\/85). Let z = 219 - -93. Let v = z - k. What are the prime factors of v?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44606.67037 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + (sqrt(95) + sqrt(95)*2)\/sqrt(5))**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 9*l - 9*l + 7*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 - -0.01. Let y = k + -0.23. Let s = -3 + 3.1. What is the second biggest value in s, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7253295 and 18315?\nAnswer: 239358735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -26. Let z = -13.2 + i. Let v = 2 - 0. What is the second biggest value in 3, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 29*x + 53. Determine j(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 7*z**5\/20 - 37*z**3\/6 - 3*z**2\/2 - 15*z + 1. Find the second derivative of a(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.46 - -0.06. Sort 2, 5, y in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*104\/(-65). Suppose i - w + 2 = 0. Suppose r + i = 0, 2*s - r = 4*s - 18. Calculate the highest common divisor of 70 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 27053117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17897*s - 120. Let j(k) = 138874754*k - 931164. Let q(b) = 10*j(b) - 77597*p(b). Let r(l) = -2*l. Calculate r(q(g)).\nAnswer: 11938*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let r be w(-3). Suppose -1 = 2*x + 5*z, 3*x - 5*z = 7*x - r. Find the second derivative of -2*u + 0*u**2 + 0*u + x*u**2 wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.467 + -61.8. Let o = x + 13.333. Put -2, 2\/7, 2\/5, o in increasing order.\nAnswer: -2, 2\/7, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**44*(n*n**(-1\/3))**(-15\/4)*(n*n**(-6))\/(n**(-2)*n)*(n*n**(1\/2))**(2\/51) assuming n is positive.\nAnswer: n**(155\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 91, 66, 25, -32, -105?\n\"Answer: -8*f**2 - f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - w**2\/2 - 75*w\/2 + 25\/2.\nAnswer: (w - 5)*(w + 5)*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 12 = 4*u - 4, 5*u + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttrfrftfrrrrftt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 949 divided by 5\nAnswer: 949\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2.77, -0.2, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 3*v**5\/4 + 55*v**3\/6 - 205*v. Find the second derivative of k(g) wrt g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22087 or 21244?\nAnswer: 21244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x - 4. Let y be j(3). Suppose -g + y = 2*l, -2*l = -5*g + 11 - 4. Solve -6*i + l = 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1714*j - 284467. What is c(-166)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -159378 divided by 181\nAnswer: -159378\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let m(g) = -1017*g. Determine f(m(p)).\nAnswer: -2034*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/2)\/((303093\/918)\/(-283))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*m - 8. Let z be (m\/(-1))\/((-16)\/(-32)). Let j be (2\/(-3))\/((-3)\/(-9)). Which is the closest to 1\/2? (a) z (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8142, 8142, 8132, 8106, 8058, 7982, 7872, 7722?\n\"Answer: -m**3 + m**2 + 4*m + 8138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.66541 centimeters in millimeters?\nAnswer: 66.6541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*s**4 + s**3 + 126*s**2 wrt s?\nAnswer: 912*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 - 76*f**2 + 72*f - 16. What is v(-21)?\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 5. Let d(z) = z + 2. Suppose 31 = -3*h - 4*t, -8 = -2*t + 4*t. Let r(o) = h*d(o) - 2*a(o). Let p(y) = 5*y. What is p(r(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*o - 5*o, -2*x + 4*o - 216 = 0. Let m be x\/15*(-4 - 14\/(-5)). Let n(q) = q**2 - q - 2. Give n(m).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(133 - 0 - 4). Suppose -q*k = -134*k + 1260. What is the greatest common factor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 15*s**2 + 12*s - 33. What is w(16)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 31*p - 48. Let s be z(-29). Solve s*j = 8*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 1\/3*i**3 + 2*i + 0 - 3\/2*i**2. Calculate b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 - (-73 + (25 - -12) - -69)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by 65915\nAnswer: 543\/65915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302780278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 2*z. Let t be c(3). Let x be ((-10)\/(-4))\/(t - 8). Let w = -53\/154 + x. Put w, 1, -0.3 in descending order.\nAnswer: 1, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:50 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(1 - -1))\/4. Let n = 25183 + -25187. Sort n, t, 7, 0.2.\nAnswer: n, t, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 79876640?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 23 - 8. Solve -2 = -2*q + d*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 - 232 - (-33)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Let y(b) be the third derivative of 0*b**3 + b**2 + 1\/60*b**6 + 0*b**4 - 1\/20*b**5 + 0 + z*b. Find the third derivative of y(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314\/4 - ((-120)\/16 + 7) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p = -168*p - 2090. What is the closest to p in 5, 3.7, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16384.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t + t**3 - 5*t + (5 + 7 - 10 + 7*t)*(8*t**2 - 3*t**2 + 15*t**2).\nAnswer: 141*t**3 + 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/7))*u*u\/u**(-1\/8))\/(u**(-6)*(u\/(u**(-4\/3)*u))\/u) assuming u is positive.\nAnswer: u**(1357\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77969 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*i + 15 = 0, 5 = 3*i - 2*i. Suppose -8 = -v - 5*b, -4*b + 76 - 78 = -2*v. Suppose -v*j + 36 = -p*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49083912 divided by -62?\nAnswer: -791676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppphvplplpl. What is prob of sequence pvph?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 2.39. Let l = 0.05 + r. Let g = -0.04104 - l. What is g rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:47 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f + 4*f + (-f + 5*f - 3*f)*(-2 + 4 + 3))*(0 - 6 + 3).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/2610*10\/4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + 4*q)*(3*q**2 - q**2 + 0*q**2)*(18 - 18 - 91*q)*(-3*q + 5*q - 3*q).\nAnswer: -182*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k - 78. Let r be z(-12). What is the highest common factor of r and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/2, -4, 2\/9, 0.06, -0.03?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1571926556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/56*(-4)\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (10 + -9)*-2 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*v - 2 - 4, k - 4*v + 2 = 0. Suppose -c - c + 64 = 0. Suppose 3*o = 5*f - c, -o + 10 + 2 = 4*f. Sort -3, f, k.\nAnswer: -3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27)**(-31) assuming k is positive.\nAnswer: k**(-837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 517 + -782. Let k = 285 + o. Solve 17*y - 9 = k*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107956617 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 - 16326036980.\nAnswer: -16326036980.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10 = 67*j - 64*j, -j = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, u: 5}. Give prob of picking 2 y.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*c - 3 = 0, 5*n + 53*c - 5 = 48*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57652639 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5587 = -159*u + 7451. What is the remainder when 490 is divided by u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*f - 2*f - 104, -4*f = -3*p + 76. Let k = -194 - -230. What is the lowest common multiple of p and k?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1726881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -4.3. Let d be (-42)\/80 - (-6)\/15. What is the third smallest value in -4\/7, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -362*z + 368*z - 30. Find the second derivative of 12 + 0*i - 10*i**2 + 3*i**3 - z*i**2 - 5*i**3 - i**2 - 6*i wrt i.\nAnswer: -12*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = -a, -5*a - 10*y - 5*y = -17*y + 31 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16026 + -46.\nAnswer: -46.16026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d2 + 129ca?\nAnswer: 12e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by (-36 - (-6 + 4))*-1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/11, 3\/7, -4\/5, -0.42?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20.4. Let q(l) = l**2 - 7*l + 1. Let g be q(7). Which is the smallest value? (a) h (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/1)\/(3\/(3\/(-1))). Suppose -q*a = -1 + 31. Put -5, 5, a, -4 in descending order.\nAnswer: 5, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = f. Suppose 2*k = x - f*x + 8, 5*k + 30 = 5*x. Solve -4*j + 5*j = x, 4*w - 3*j + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 - y. Let j be f(-1). Let i(q) = q. Let a(h) = h. Determine j*a(w) - 3*i(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 392 = 6*b + 340, 2*z = -b + 14 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 + 7*t**4\/24 - 3*t**3\/2 + 9*t**2 - t. Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xot when three letters picked without replacement from {t: 4, o: 2, c: 1, x: 6}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36808705?\nAnswer: 5, 7361741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2679798 and -0.04?\nAnswer: -107191.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.4, -3, -24, -1\/14 in ascending order.\nAnswer: -24, -3, -1\/14, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578856436.\nAnswer: 2, 144714109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41731*g + 555 = 41768*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1900) + -1 + 0 + (sqrt(1900) + -5)*4)**2.\nAnswer: -2100*sqrt(19) + 47943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2. Let x = 11 - 9. Let i(z) = -2*z**x - 7 + 14 - 7. What is c(i(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*j - 8, j - 2*j = 5*i - 2. Let h(z) = -z**2 + z + 2. Let x be h(i). Suppose -p = -4*t - 31, 2*t - 29 = -3*p - x*t. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f + -5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(0 + (-30)\/(-9)). Suppose 10 = -p + 3*p. Suppose i - p*a = 6*i + 5, -3*i - 1 = a. Solve m = -5*l - r + 2*r, i = -2*l + 2*r - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 3*x + 4. Let g be 2*(4\/22 - 1392\/(-1056)). Determine b(g).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.161, -0.05, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*w + 16 = 0, 3*i + 3*w + 2 + 22 = 0. What are the prime factors of (i\/6)\/((-2)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 76*r**2 - 77*r**2 - r - 3 + 4 + 1. Let t be f(1). Differentiate 5*i**4 - 54*i**4 + 28*i**4 + 15 - t*i**4 with respect to i.\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 9. Let j = 0.201 - 1.201. Which is the second smallest value? (a) 2\/7 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 928 - 918. Calculate the smallest common multiple of 6\/14 - 67\/(-7) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666401.\nAnswer: 257, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67.25221nm?\nAnswer: 0.000006725221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 0*c + 5*c + 3 - 7*c**2. Let n = -158 - -154. Let j be (-3 - (6\/n - 2))*-6. Let d(o) = -6*o**2 + 2*o + 2. Determine j*d(g) + 2*q(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338928547.\nAnswer: 37, 137, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 22*f - 15*f - 7*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3. Let w = -32\/123 + 598\/1353. What is the closest to a in 2\/21, w, 1\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 7. Let f be m(7). Let r = -4 + 4. Solve f = 2*s - r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 27*b**2 - 537.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + (sqrt(78) - -2*sqrt(78)*2))\/sqrt(6) + 5.\nAnswer: 5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 10*r**2 - 9*r + 4. Let u be d(-9). Solve 3*f + u*q - 16 = 0, q = -2*q + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:59 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 2450?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20200102 + 11?\nAnswer: 20200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 4169*l - 2*l**2 - 5250*l + 748*l.\nAnswer: -l**2 - 8671*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 19\/6*i**3 + 0 + 0*i**5 + 0*i - 1\/24*i**4 - 25*i**2 - 9\/35*i**7 + 0*i**6. Find the second derivative of w(b) wrt b.\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -41\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-52) + (4 - (-23704)\/52). What is the highest common factor of 184 and c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 68\/(-51)*(-1140)\/8.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:57 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5657834 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 10. Let n(v) = 2. Suppose j = c - 4759 + 1858, 4*c - 11613 = j. Let u be ((c\/(-60))\/(-11))\/(2\/5). Determine u*n(z) - 2*o(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14194320 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13956001159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 567, 482, -253, -1638, -3673?\n\"Answer: -325*g**2 + 890*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.93 times -18.09\nAnswer: 16.8237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**3 - 18*b**3 + 49*b**3)*(-b - b + b)*(7*b - 12*b - 20*b).\nAnswer: 1125*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 69. Is 32 a factor of (-18)\/(-6)*(-320)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usj when three letters picked without replacement from {t: 1, j: 3, u: 6, s: 2, x: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 15*r + 35. Let a = -23 - -10. Let z be i(a). What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44679 + 33103. Suppose -2*c = 2, 3*t - 8*c = -7*c + k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556837455?\nAnswer: 5, 23, 13537717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -52, -130, -270, -490, -808?\n\"Answer: -3*w**3 - 4*w**2 - w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17345771 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17230*q + 525 = -17265*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 110. Calculate the remainder when 32 + (-8)\/(-10) + (-38)\/h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -0.5, 2\/17, -1\/31?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2 + 1 + 1 - 14*p + 4. Let j be w(-4). Suppose j = -2*m + 7*m. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 42*p - 8871 = 47*p + 201 for p.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8.557, 2\/11, 4, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-74)\/4 - 46\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*f**3 + 5*f**2 - f**2 - f**2 - 6*f**4 - 32*f**3 to the form m*f + a*f**2 + l + w*f**3 + p*f**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.06 + 0.06. Let y = 7.1 + -3.7. Let m = 4.4 - y. Which is the nearest to k? (a) -4 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 26. Give b(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*j**4 + 19105*j - 66823581 wrt j?\nAnswer: -1068*j**3 + 19105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 7 - -29) + (-8 - 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (1 + 2*sqrt(320)))**2*4*1 + -3 + 5)*2.\nAnswer: 128*sqrt(5) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 8250324.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -67352?\nAnswer: -11\/67352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-4*r**4 - r**4 + 2*r**4)*(-3 + 4 + 2).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1687 - 2*p - 2*p - 773 + 44*p**2 - p with respect to p.\nAnswer: 88*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010110032101 - -203?\nAnswer: 1010110032310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151104 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -37*f**2. Let k(q) = -21*q**2. Determine k(i(z)).\nAnswer: -28749*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -1. Let t = 2.93 - 3.33. What is the second biggest value in 0.04, v, t, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 59 - 28 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*q - 1771*q + 3038 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/525 - m**5\/75 + m**3\/15 + 4*m**2. Let d(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1070547*l**5 - 2*l - 11630630.\nAnswer: -21410940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7 = -5*x, -13*c - 2*c + 19*c + 20 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44195 is divided by 1027.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 13*d - 24. Calculate c(-5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-567)\/6)\/7*(-4)\/6. Suppose 0 = s - 6*s + 1165. Suppose -4*m = 3*p - 115 - 59, 0 = -5*m + 4*p + s. What is the highest common factor of w and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 1 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4 = -2*t + 2*z, -12 = -4*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6376757 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2998.6085933 to the nearest ten.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a. Let x(j) = 46127*j**2 + 13*j. Determine y(x(t)).\nAnswer: -230635*t**2 - 65*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 428064827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 2*a + 3*a)*(-19*a + 57 - 57 + (-a - 2*a + 4*a)*(0 + 5 - 3) + 2*a - 2 + 2) to the form v + y*a**2 + b*a and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74 + -6232125?\nAnswer: -6232031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/60 + 7*a**4\/24 - 3*a**3\/2 + 26913*a**2. Let g(w) = w + 1. Let y be g(3). Give v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335681379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*-2 + sqrt(170) - (sqrt(170) - (sqrt(170) - -2*sqrt(170)))*-4)\/(-3*sqrt(250)*2))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 28*c - 106. Calculate d(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1335\/(-6) + -1)*-12 - -3. Suppose 9*q + n - 15636 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63585 and 49455.\nAnswer: 445095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 2 + (42 - 46) - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45161, -97283, -149405, -201527, -253649, -305771?\nAnswer: -357893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t**2 - 11541*t + 11542. What is a(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 i when four letters picked without replacement from iixoxmxoooxoo?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -30. Let x be (-7 - -11) + 0 + -1 - 74. Let q = n - x. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = -2*h. Let y = h + 4. List the prime factors of 6\/y*1 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 2 + -2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.9, 0.12, -5\/2, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.3. Suppose -10 = -z - 4*s, -5*z + 2*s = -z - 40. Let d be (-6)\/z*8\/(-12). Which is the second biggest value? (a) d (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314895495 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -42. Solve -g*d - 16 + 18 = -4*h, 0 = -4*h - d + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126*y**2 - 251*y**2 + 129*y**2 + (2*y - 2*y + y)*(-2*y + 8*y - 3*y) - 2*y**2 - 2 + 2)*(-y + 10 + 12 - 15) to d*y**2 + i*y**3 + k*y + a and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 4, e: 1, s: 5, h: 2}. What is prob of sequence usu?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-6))\/(0 + -3). Suppose h = d - 5*m - 25, -4*m = -2*d + 7*d - 38. Solve -2*a + 40 = -d*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1547 + 0.1547. Which is smaller: 1\/81 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 7. Suppose 4*o + z - 12 = 0. Suppose o*q - 2 = q. Solve f - q*t = -0*t - 8, -t = -5*f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*z + 10*z - 7*z)*((-5 - z + 5)*(1 + 3 - 5) + (0 + 3 - 1)*(-3*z - 5*z + 5*z))*(-8 - 1 + 1).\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31. Suppose 0 = 5*w + y*f - 1578, -5*w + 1280 = -w - 2*f. Solve -w + 336 + 78*u + 21*u**2 - 9*u = 0 for u.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-44)*16\/6. Suppose -2*t + v = -4*t + 12497, -v = -k*t + 12491. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j + 3. Let a(u) = -1. Let d(f) = -3*a(f) - x(f). Let g(v) = -2*v - 10 + 10. Give d(g(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o = -30*o + 144*o + 3040 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:49 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 28 - 8 = -11*n + 12*n - 19, 0 = 6*s - 4*n + 156 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from zxxxzxxxzxzxzzxz?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 0.3, 9, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 943.68 + -1080. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3*(-6)\/(-171). Let j = -1.83 - -1.79. Which is the nearest to j? (a) 1 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11636 by -2909.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -200*g**2 + 2*g. Let l(m) = -34*m - 1. Calculate l(c(d)).\nAnswer: 6800*d**2 - 68*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, -4, -0.21771?\nAnswer: -0.21771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 5 (c) -0.2 (d) 15.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 15145164362318\nAnswer: -15145164362318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 29*l - 1. Let x be q(15). Suppose -3*d + 12 = -3*s, -3*d + s + x = -4*s. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 - -3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 60 = -2*y - y, -3*h = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 517389 = 4*t, 517349 = 4*t + 138*z - 141*z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184170620.\nAnswer: 2, 5, 9208531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 23. What is the least common multiple of 12 and n(11)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 81*v - 80*v. Let k(y) = -y**2 + 13*y - 17. Let h be k(11). Suppose h = z + 2. Solve u = z*i + 17 - 1, 0 = 4*i + v*u - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -117 and -91679.\nAnswer: -91796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70692 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + 276\/14. Let f be (-10*8\/24)\/((-2)\/(-3)). Let m be (-8)\/f*2\/(i\/75). What is the greatest common factor of m and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - l - 4*t, -4*l = -2*t + 4. Suppose -3*u - 12 = 3*n + 2*u, l = -2*u + 6. What are the prime factors of -6*(1 - (-21)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 100 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/70 - (0 + 52\/(-10)). Suppose -3*k = -b*k - 3*k. Suppose k = -u - 5*u + 4602. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -226\/3 - 1\/3*u**2 - 227\/3*u.\nAnswer: -(u + 1)*(u + 226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6.7. Let h = 2.3 + i. Let u = h + -2.3. What is the second biggest value in 1\/5, u, -2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c + 138407 = -11548*c - 82104 - 179784 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24. What is the second biggest value in 2\/5, -3, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 21*g - 17. Let b be x(22). Suppose -5*a = -z + 19 + 60, 5*z - b*a - 335 = 0. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 10382?\nAnswer: 51910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -117. Solve d*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10251 and 24948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 20*g - 11)*(2 - 1 + 2) as d + v*g and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (-3 - -10)) + -4. Let i(h) = h + 7. Calculate i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 781341*z + 48. Let u be v(2). Suppose -i - i = -485460. Let o = u - i. Round o to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - a94?\nAnswer: -a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5 + 2\/5*i**2 - 34\/5*i.\nAnswer: 2*(i - 18)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/4*(-40)\/(-90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 - -10 - (-1 - -5 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 - 11?\nAnswer: -11110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50 + -27904)*1\/(-3). Suppose 13*g - 45893 = c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43, 1, -5, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 108 = 5*k, 3*s - 48 - 6 = -45 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = 0, 755 = s + j. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 - 7\/2*g**3 + 5\/24*g**4 + 0*g - 3*g**2. Differentiate p(y) wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*o + 201*o - 21 = 0. Let p(c) be the second derivative of 4*c - 1\/4*c**4 + 0 + o*c**3 - 27\/2*c**2. Let p(r) = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 13 - 31 = 0. Suppose -2*r + i = z*i - 16, -r = -5*i - 32. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:13 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1084\/(-80) + (-6)\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-15) - 294\/390.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17 (b) -12 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171308*m**2 + 94*m - 342899*m**2 + 6 - 6 + 171589*m**2.\nAnswer: -2*m**2 + 94*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 11*k - 81. Let c be z(-5). Suppose c = 2*h - 4*v, 3*v = 12*h - 10*h - 70. Does 0.1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6046 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.406801248 - -0.5?\nAnswer: 0.093198752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 12. Let o be z(4). Suppose o*c - 60 = -2*u, 2*c = -3*u + 11 + 91. Suppose 2*n - u = -10*n. Solve -9 = -5*y - k, 0*y + 5*y = n*k - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4875*4.9\nAnswer: -23887.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 21, 39, 63, 93, 129, 171?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4 - 5 - 2. Determine z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3. Suppose 20*r - 60 = 10*r. Suppose -14*j = -8*j + r. Let u(q) = 9*q**3 - 2. Determine j*u(w) + 4*d(w).\nAnswer: -5*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18400 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/8 (b) -1\/58 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2. Let x(g) = g**2 + 8*g - 4. Let t be x(-8). What is the closest to 1\/4 in -2, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1107055\/3614322 - 4\/42027. Find the common denominator of 41\/6 and r.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 4:15 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -5, 0.5, 6, 0.34, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4380 and 14?\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5432 - 11.0232. What is m rounded to one decimal place?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 2. Suppose 19*g - 38 = -0. Let c(o) = -1. Suppose 0 = 4*z - 2*z + 3*n + 7, -5*z - n = -2. What is g*c(y) + z*s(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o*o\/(o\/(o\/(o*o**(2\/25)\/o))*o))**(17\/3)*((o\/(o*o**0))\/((o**(-9)*o)\/o))**(-18\/7) assuming o is positive.\nAnswer: o**(-46577\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6743182?\nAnswer: 2, 31, 108761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-8))\/(2\/(-4)). Let h = 27 - y. Let i be (-158)\/(-18) + 4\/h. Solve -v - 4*v + 7 = -r, 3*v = -r + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -887746 or -887744?\nAnswer: -887746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f - u + 4, 3*u = 4*f - 8. Let k = 0 + 3. Let l(n) = 6*n**f - n**k - 4 - 4 - 3*n + 2. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/12)\/(4\/18*-1). Determine k so that -4*k**b + 10*k - 5 - 6*k**3 + 15*k**2 - 15*k**2 + 5*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/5, 5, -47.\nAnswer: -47, -16, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3038*c + 3523*c - 6562*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3, 0.08 in decreasing order.\nAnswer: 5, 3, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 1\/3 (b) -2\/9 (c) -1\/5 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 13*v = 9*v + 69 + 128, -8*c = -3*v + 222 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = 4*k - 15, -46 = -3*p - 5*k. Let o = p + 28. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 1612644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -8. What are the prime factors of (x + -3)\/((-1)\/2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 3496*i + 175729. Give a(-51).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 + 8*m - 4. Give a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 24*y - 576 = 18*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2993b4b (base 12) to base 11\nAnswer: 4820805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -0.054, -2\/255, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (1 - 2) + (-361 - -346)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (-7 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:09 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/76 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) -4 (c) 5 (d) -2278 (e) 0.2 (f) -25 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1228, 2454, 3682, 4912, 6144, 7378, 8614?\nAnswer: 9852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -2. Let y(d) be the first derivative of -d**2\/2 - 3*d - 1. Let g be y(-7). Which is the closest to o? (a) 0.5 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -165, -169, -175?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20818?\nAnswer: 2, 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*27\/((-1701)\/98))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/7 - -40*(-8)\/64. Let x = -2\/13 + -5\/52. Which is the biggest value? (a) y (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -142248.6.\nAnswer: -71124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:02 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450 - 446. Let o = 154 + -146.1. Let z = o + -8. Which is the biggest value? (a) 6 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 2*h**2 - 3 + 16*h**3.\nAnswer: 16*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m + 1\/540*m**6 - 1\/6*m**3 + 2*m**2 - 1\/180*m**5 + 0 + 0*m**4. Let b(j) be the first derivative of q(j). Solve b(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -401 and 38.1?\nAnswer: -15278.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382624370.\nAnswer: 2, 5, 7, 73, 466267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13783\/(-6622) - (-3 - -1). Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/2 - q - 1. Let a(z) be the first derivative of d(z). Let b(x) = -2*x**2. Determine a(b(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270809310 and 4690?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrrvrgnvw. Give prob of picking 1 n and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -67, -78 in ascending order.\nAnswer: -78, -67, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 16.999995. Round p to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21325 + 23925 = 53*k - 105*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13919, -13919, -13927, -13949, -13991, -14059, -14159, -14297?\nAnswer: -14479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**4 + 74*z**3 + 0*z**5 + 3*z**5 - 74*z**3 + 50*z**2 wrt z?\nAnswer: 180*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 143*z**2 - 9*z + 17. Let k(i) = -72*i**2 + 4*i - 7. Let p(n) = -6*d(n) - 13*k(n). Differentiate p(b) with respect to b.\nAnswer: 156*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 0 = 4*o + v*c - 12, 4*c = 4*o + 3*c - 7. Suppose o*a - 12 = -2. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213\/6 + -26 - (3 + 27\/3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or -45945\/406?\nAnswer: -45945\/406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(sqrt(117) + sqrt(117)*2))\/(sqrt(9) + sqrt(324)*5))**2.\nAnswer: 2925\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -12?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1769130 and -67\/786.\nAnswer: 231756030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence effu when four letters picked without replacement from ejeyeuyeeffjefff?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 68. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11385*u**2 + 22853*u**2 - 11417*u**2.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((((g*g*(g\/g**(-5))\/g)\/g)\/g)\/g))\/g*g**(4\/3)*(g**3)**5 assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -3. Let q be (0\/(1 + -3))\/(-1). Solve 0 = 5*f - q*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(4\/(-6)). Suppose 10 = c - 1. Factor m**2 + c*m - n - 11*m.\nAnswer: (m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269861924 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m**5\/2 - 10479*m**4\/2 + 749877*m**3\/2 - 16682625*m**2\/2 - 9891153*m - 1169640 = 0. Calculate m.\nAnswer: -1, -2\/15, 57, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f - 1. Let p be o(-4). Suppose 0 = 5*t + 3*v - 26, p*v = 2*t - 0*v - 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 94*m - 599. What is b(-8)?\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*w - 30 = 0, 5*c - 4*w + 10 = -w. Let x(b) = -2*b - 5. Let k(l) = -6*l - 16. What is c*k(g) + 16*x(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -542 (b) -1\/4 (c) 1\/7 (d) -1.4 (e) 3\/4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1794243, -3588735, -5383227?\n\"Answer: -1794492*s + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -210321?\nAnswer: -210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1 - 4) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0127 + 0.00356. What is t rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*i + 138, 7*n + 2*i = 2*n + 383. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2880) + -1 + sqrt(2880))*5 + -4 + (sqrt(2880) - (4 + 1 + sqrt(2880))))**2.\nAnswer: -6240*sqrt(5) + 288169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-7) + -6*(-1)\/42. Let q = -4\/3 + 17\/6. Let n = q - 1. What is the closest to n in 0.2, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/7 + 62*u**4\/7 - 1482*u**3\/7 - 62438*u**2\/7 - 391424*u\/7 + 252960 = 0. What is u?\nAnswer: -28, -20, -17, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 12.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3444*o + 248091 = 1427*o for o.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 460808035 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 9. Let n(v) = -v + 5. Let o(p) = -5*g(p) + 9*n(p). Let t(u) = -2*u. Give t(o(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-1))\/(9\/90). Let q = o + -55. Suppose 10*t + 5*l = q*t + 165, 4*t - 147 = l. Calculate the least common multiple of 3 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-3*2*sqrt(10) - sqrt(10)) - sqrt(133)\/(-1*sqrt(63)).\nAnswer: 4*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 12*p - 85 + 4\/5*p**5 + 19*p**2 - 17*p**4 - 16\/3*p**3 + 5*p**6. Determine g, given that k(g) = 0.\nAnswer: -1, -1\/3, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1148530 (base 11) to base 8.\nAnswer: -7507036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from uygdayyuyaygydy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Calculate the remainder when 9 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -388 and -0.86?\nAnswer: 387.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.233? (a) -0.2 (b) -2\/7 (c) 8 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-102)\/408*4\/(4 - 2)*-6. What is the third biggest value in 1\/11, -5\/3, v, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -4.19 (c) -0.2 (d) -0.3 (e) 1\/7 (f) 5 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1797427 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -0.1, 3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 9. Let h be u(-6). Let g be (-22)\/44*1\/((-1)\/8). Solve f - g = -h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 103478381.\nAnswer: 1\/103478381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6 + 402528873*o**4 - 2*o**2 - 407218 wrt o?\nAnswer: -240*o**3 + 9660692952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/1 - (-18)\/(-2). Which is smaller: -96\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31232\/791 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*m - 8745 + 5043 = 7898. What is the highest common factor of m and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7177*s**2 + 14364*s**2 - 7207*s**2.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-4))\/(-12*(-9)\/(-288))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:06 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*l**2 + 103*l**3 - 44*l**2 - 30*l**3 - 47 wrt l?\nAnswer: 219*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 10*b - 4. Let d be a(4). Suppose d*r - 6 - 54 = 0. What is the highest common factor of 105 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1641, -4249, -7841, -12417, -17977?\n\"Answer: -492*t**2 - 1132*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - -137. Suppose 355 + x = 6*c. What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*z**3 + 1472*z**3 - 305*z**3 - 297*z**3 - 326*z**3.\nAnswer: 221*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:12 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 3*t - 4*q - 99 = 0, -9 = -t + 70*q - 73*q for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + s)*(0*s**3 - 2*s**3 + 0*s**3) - 573*s**3 + 573*s**3 + 46*s**4.\nAnswer: 52*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -320 + 173. Find the common denominator of -169\/42 and 1*(14\/t)\/(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let z = 0 + x. Let s = 2 + z. What is the closest to 1 in 0.5, 0.3, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = 2*q + 1, -q + 12 = 3*h. Suppose -5*o + q*o + 10 = 0. Let m(d) = 3*d + 1. What are the prime factors of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(14)\/sqrt(2))**2*-2 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -239*o**2 + 23 + 13 - 65 - 73 - 11 wrt o?\nAnswer: -478*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(4*i - 2*i - 3*i)*(0 + 1599*i**3 - 6961*i**3 + 0) in the form j*i**4 + z*i + h + q*i**3 + u*i**2 and give j.\nAnswer: 5362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 2 + 44 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/3 (c) 0.0427 (d) 2\/7 (e) 2\/5 (f) -0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898848 is divided by 277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191, -378, -579, -800, -1047, -1326, -1643, -2004?\n\"Answer: -j**3 - j**2 - 177*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 69.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from {z: 6, v: 1, s: 2, q: 3, h: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2\/((-2)\/211). Suppose -60 = 5*i - w. Suppose -5*b + 2*b = -i. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 165?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.48 and 0.066.\nAnswer: -0.03168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:48 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-6) + 2)\/(29929\/2334462)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 33 = 4*l, -9*l + 9 = -12*l + 3*w. Put -65, -2, l in decreasing order.\nAnswer: -2, l, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Factor 0*l - 2*l**3 - l**4 + 18*l**2 + i*l - 19*l**2.\nAnswer: -l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -35*k - 3. Let a(i) be the second derivative of -i**3\/2 - i + 6. Let b(x) = 6*a(x) - w(x). Find the first derivative of b(y) wrt y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.28 or -3746.303?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 4, m: 3, j: 2, s: 1, b: 3}. What is prob of picking 2 w and 1 j?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -634*w + 691*w + 1254 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112011 (base 3) in base 7?\nAnswer: -24055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -9*(-3)\/(-6)*379786\/(-183)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 8*h**2 - 6*h - 3. Let u be j(7). What is the closest to -0.1 in 0.5, 1, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92517?\nAnswer: 3, 30839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from thhtht?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d + 150. Let u be j(7). Suppose 2*m - 2*f = -28, 5*f = 2*m + 15 + 25. Let c be 2\/m + 16\/(-20). Sort 0, u, c in decreasing order.\nAnswer: 0, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 2*u + 11. Let z be w(3). Suppose 10*f + z = 5*r + 6*f, -2*f = -2*r + 14. Solve -r*g + 40 = 4*d, -5 = -4*d + 5*g - 2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1185*d**4 + 10454 wrt d.\nAnswer: -4740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6*z = -3*z - 113, -54 = -t + z. What is the lowest common multiple of t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 + 6*s + 32 + 28 - 2*s**4 + 62*s**2 + 33 + 27 as q + i*s + b*s**2 + n*s**4 + l*s**3 and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1086 by -181.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - s - 5 = 0, 5 = -x - 22*s + 23*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(1\/(-2)). Suppose 93 - 47 = -w. Let v = w + 44. Sort v, -17, r in decreasing order.\nAnswer: r, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327688 is divided by 16384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 - -498. Which is the smallest value? (a) d (b) 831 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 - 9 = 4*o, -4*j - 20 = 2*o. Suppose o = -16*w + 8*w. What are the prime factors of w - (30 - 4)*-4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/(-376) - 61\/92?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14330.\nAnswer: 2, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -37. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 + 9*x**2 + 7*x + 3. Let v be y(7). What is the highest common divisor of v and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 410.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/11, -0.01, -0.47?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 14*c - 9. What is the remainder when b(10) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176878779\/6085 - -29068. Let w = s - -468539\/36510. Are 14 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71779350.\nAnswer: 2, 3, 5, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 6*o**4\/5 + 1210978*o**3\/5 + 61131672842*o**2\/5 + 2911172878894*o\/5 - 977183412576\/5 = 0?\nAnswer: -100891, -48, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 3*v + 8, -19 = -k - 4*v - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let b(v) = 20*v**2. Let n(i) = -9914*i + i**2 + 9914*i. Let d(a) = 6*b(a) - 66*n(a). Calculate d(f(t)).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*s + 29265 = -32559 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/u**(5\/12))\/((u\/(u\/(u\/((u*u*u\/(u*u**(-3\/4)*u))\/u))*u*u)*u)\/u)**(-3\/10) assuming u is positive.\nAnswer: u**(67\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/27843106 and 23\/222744848.\nAnswer: 222744848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 2\/339, 99\/31?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2032, 2036, 2042, 2050?\n\"Answer: l**2 + l + 2030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15b (base 15) to base 6.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-1938 - -11)\/(-47))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a - 1415*a**3 + 4*a**4 + 1 + 66*a + 1412*a**3 to q*a**2 + h*a**4 + i*a + u*a**3 + g and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37776*x - 37785*x + 45 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1093716793 and -0.0741.\nAnswer: -1093716793.0741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.57304 millilitres to litres.\nAnswer: 0.08257304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40026154 to 4 dps.\nAnswer: 0.4003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 90.139419 nanoseconds?\nAnswer: 0.0000000000010432803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1001022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -9, -3, 1 in decreasing order.\nAnswer: 1, -3, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62696257 divided by -2.\nAnswer: -62696257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/9)*s)**(-47))**(-2\/19) assuming s is positive.\nAnswer: s**(1880\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22785895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g. Suppose -6*s + s + s = g. Solve 3*u + 12 = s, -3*x + 4*u + 10 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - 5.7. Let i = 8.7 + z. Put i, 3, -0.6, -22 in descending order.\nAnswer: 3, i, -0.6, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 4. Let t = -6 + a. Solve 3*f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 13) to base 4\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-15) - 0)*(5 - 10). Is 3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 6:38 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 41485?\nAnswer: -1700885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*b, 69*q - b = 67*q + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 7*q + 10. Let v be p(8). Suppose v*b + 0*j + 4*j - 276 = 0, -4*j = b - 138. Let x = 258 - b. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 - 2*j + 2. Let g(w) = -4*w**2 - 3*w + 3. What is -2*g(s) + 3*i(s)?\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934595697 less than 10?\nAnswer: -1934595687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1056\/60 + -17 - 5094\/90?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 30, 1\/2, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366595 and 2198.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 4*a - 3. Suppose 0 = 5*h - 0*h - 35. Suppose -5 = -m - h. Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3)*c)\/(c\/(c**(-2\/15)*c)))**(-39)*(c**(-9)*c**(2\/19))**22 assuming c is positive.\nAnswer: c**(-36621\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10426 - 12540?\nAnswer: -23266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13087 + 13103. Let i = -8 - -11. Suppose -h + w = -i*h, -4*h = -2*w - 16. Calculate the highest common divisor of h and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 60 + 84 + -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 43*w + 99. What is the tens digit of p(51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42645, -84712, -126779?\nAnswer: -168846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 12476?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144251 - 103201?\nAnswer: -251452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1182, -2376, -3584, -4812, -6066, -7352, -8676, -10044?\nAnswer: -11462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7270\/28 - -3) + 3. Let i = -1866\/7 + y. Calculate the common denominator of i and (-29)\/4*12\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 - -34.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -457 + 415. Find the common denominator of 1\/9 + 280\/m and 37\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 372*f**3 - 7*f**2 - 4*f - 8. Let s be u(-3). What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 7*u - 3*u**3 + 3*u**4 - 5*u**4 - 6*u in the form a + c*u**2 + k*u**4 + l*u + x*u**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 23453 + 34024 = 0. Let u = g + 27902. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -46. Solve 4*t + 3 + p = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*a = 24, 4*a + 0 - 46 = 2*h. What is the hundreds digit of (1 - (-11)\/(-1))*(h - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38513 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003433054 to seven decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 + v - 5. Let y be z(-4). Let s = 13 + y. Suppose 60 = 5*u - 4*w + 2*w, -3*w = -s*u + 55. Is u 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 154 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2128\/7951?\nAnswer: -2128\/7951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12\/4105 + 8174\/12315. Put 1, m, -17, -3\/17, -2 in ascending order.\nAnswer: -17, -2, -3\/17, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -9268\nAnswer: -6487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 1, g: 1}. Give prob of picking 1 g and 2 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-1)*(-2000000)\/12. What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/15092025 and 121\/92874?\nAnswer: 30184050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 28*q + 12 = 0. Let h(z) = 2*z**3 - 3*z**2 + 3. Let k(i) be the second derivative of -i**4\/12 - i. Give q*k(j) - h(j).\nAnswer: -2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -28. Suppose x*d + 3 = 12. Suppose -12*k = -d*k. Solve k = g - 3*a - 2, 0 = 4*g - 3*a - 10 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 2625 + 2625.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70003)\/7 - (1 + (-150)\/105). What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232214 (base 6) in base 12?\nAnswer: -b66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(44)\/sqrt(16) + sqrt(1584)*-1 + sqrt(1584) + -3 + 2 + sqrt(44)\/sqrt(4))**2.\nAnswer: -12*sqrt(11) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2421 + 2421. Solve -5*c + 5 = 2*k - 7, y = 5*k + 5*c - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*r + 20 = -4*f, -4*r - 25 = -5*f. What is the derivative of 1 + n**4 + f + n**4 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - ba3?\nAnswer: -ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(21)*1 - sqrt(21))\/(-2*sqrt(3)*-2))**2.\nAnswer: 55\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1036\/(-36) + 29 + -44*2200909\/(-18). What is k rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 40*r**2 + 26*r - 155. What is the remainder when f(7) is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794268 is divided by 448422?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -373\nAnswer: -37.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -401. Suppose -2*o = -612 + f. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**3\/2 - 123*n**2 - 1967*n\/2 - 138.\nAnswer: -(n + 12)*(n + 23)*(7*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 3*p - 3. Let r be d(3). Let w = -105\/4 - -941\/36. Let y = -0.3 - 0.2. What is the second biggest value in w, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 1855*p**3 - 172945*p**2 + 160025*p + 1026750 = 0?\nAnswer: -2, 3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 1, p: 16}. Give prob of picking 1 p and 1 d.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -151.2. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(76) + -1*((sqrt(76) + 1*sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76)) + sqrt(76)))\/(-1*sqrt(196)*2).\nAnswer: -5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 148*a.\nAnswer: 2*a*(a + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1266394, -0.1, 3?\nAnswer: 1266394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27217.\nAnswer: 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435732529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 62*c**2 - 20*c**2 - 42*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02233 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703720 and 48600.\nAnswer: 855019800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i*l**3*w + 10824976*i*w**3 - 2*l**3*w**3 - 601774*l**3*w**2 - l**2*w**2 with respect to i.\nAnswer: -4*l**3*w + 10824976*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/8 + 2\/4. Suppose -13 = -j*c + 3*c. Let n(t) = 691*t - 17. Let s be n(c). What is s rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/164? (a) 25\/2 (b) -2 (c) -4 (d) 2\/13 (e) -2\/219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*n**2 - 3*n - 33*n**2 - n.\nAnswer: -4*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from llzzzzzzlz?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/14587 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2660 and -1.\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 42335106?\nAnswer: 42335122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3 + -4 - 12\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14974007 divided by 10\nAnswer: -14974007\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -1619\/11. What is the smallest value in -2, y, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 92415.31 grams?\nAnswer: 92415310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/33 and (-9 - 4110\/(-396))*8\/7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64244 (base 10) to base 7.\nAnswer: -355205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 808, -2\/3, 7 in decreasing order.\nAnswer: 808, 7, 5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945*g - 182 = 11*k - 944*g, 5*k + 14*g + 15 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 344 = 50. Let j = t - 42. Solve 4*h + 4*l - 36 = 0, 0 = -4*h - j*h + 4*l - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/80 + (-12)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9*254*45\/(-10416). Let h = 2\/217 + p. Let q be 38\/(-9) + (-2)\/(-9). Put h, q, 5 in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 at most as big as -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + 2*m**2 - 2*m**2)*(419*m - 8127 - 8111 + 16303 + 280*m) as j*m**2 + x*m**3 + l*m + b and give j.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 4*l - 13 = 0, -40 = -5*z - 3*l. Suppose 9*a = 2 + 7. Calculate the highest common divisor of z and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 + 1679*d - 557*d - 553*d - 571*d.\nAnswer: 11*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/5481 (b) -6\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from rroorrannnrrarr?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:23 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1.3, -5, 24, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + (-3 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/10*(-100*1)\/(-1). Suppose -4*s = -172 - l. Calculate the remainder when s is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*l**2 + 6*j**3 + 3*j**2 - 41124971*j*l**4 - 2*j - 6747370 wrt l.\nAnswer: 2*j**3*l - 164499884*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (387 + 361 - 721)*(-4 + 1 + 2)*(3*o**3 + 0*o**3 - 5*o**3 + (o**3 + 0*o**3 + 0*o**3)*(1 + 0 + 0) + 5 - 3*o**3 - 5).\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -473, -1512, -3525, -6836, -11769?\n\"Answer: -54*z**3 - z**2 - 8*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1291 - 1291. Solve 2*h + q*h = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 582 - 2180. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 8) to base 15.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*j**2 - 3697*j + 3697*j - 1357*j**2 in the form q + d*j + b*j**2 and give b.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 150 = 5*t + 5*i, 0 = -5*t + 3*i + 150. Calculate the highest common divisor of t and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 70.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*x + 1138, 0 = -19*a + 14*a + 4*x + 5606. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/55 and -13\/57965?\nAnswer: 637615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, -6, -120, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35533\/1822 - 2\/911. Find t, given that -n*t**3 - 6*t**4 - 3\/2 - 21\/2*t - 45\/2*t**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/5 (b) -2\/3 (c) 0.3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x**2 + 0*x)*(2*x**2 + 1 - 1) + (3*x - 2*x - 2*x)*(-x + 2*x**3 + x) + 2*x - 2*x + x**4 + x**4 + 2*x**4 + 4*x**4.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3654 and 280287?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 166\/(-34) + (-11 - -10) + 6. Put -9, p, -10 in decreasing order.\nAnswer: p, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose 0 = -n*t + 4*t - 60. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1785, -2 in increasing order.\nAnswer: -1785, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14194417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.51, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + (sqrt(117) - (sqrt(117) + -2)) - (sqrt(65)*-2*4)\/sqrt(5)))**2.\nAnswer: -288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 9*a - 18.\nAnswer: -(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*j**2 - a*j - 39*a - 18*j**3 with respect to j.\nAnswer: -2*a*j - a - 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349833522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose h + 4*h - 2*a = 131, -z*a = 2*h - 58. Suppose -4*m - 82 = -5*f, -3*f - 2*m + 54 = -6*m. What is the remainder when h is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Round 0.06282525 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*k**3 - 8\/3*k**2 + 4*k + 0 + 1\/3*k**4 = 0 for k.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330893 to the power of 1\/2, to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s + 318135*s**2 - 318112*s**2 - 3*s.\nAnswer: 23*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/33165 and -113\/30.\nAnswer: 66330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 33*n - 30. Let a(p) be the first derivative of p**4\/4 + p**3\/3 - p + 1. Let z be a(1). Solve 3*h = 4*g, -5*g + n = -4*h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 24 - 26)*(-2 + 2*a + 2) - a - 6*a + 5*a + 4*a - 2*a - 3*a.\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 15*q**4\/4 + 19*q**3 - 327*q**2\/2 + 63*q - 1402. Factor d(t).\nAnswer: 3*(t - 3)*(t + 7)*(5*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-30))\/(-10)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by 290.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 8*h**2 + 10*h + 1. What is i(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*x**2 - 113*x**2 - 19*x**3 - 36*x**5 - 206*x**2 + 31*x**5 wrt x.\nAnswer: -300*x**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.341012 + 0.24\nAnswer: -0.101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212030470 rounded to the nearest 10000?\nAnswer: -212030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1083005 and -37\/3480.\nAnswer: 25992120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**(-39)\/(m\/(m\/m**(-4\/3)))**(-28))**36 assuming m is positive.\nAnswer: m**(-1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0 - 12*n**3 + 0*n**4 - 23\/12*n**5 + 150*n**2 + 0*n. What is the derivative of d(b) wrt b?\nAnswer: -230*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(19) - (sqrt(684) + -3*sqrt(684))) + sqrt(19) + sqrt(152)\/((3*sqrt(64) - sqrt(64) - sqrt(64))\/sqrt(8)))**2.\nAnswer: -60*sqrt(19) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -709, -1566, -2769, -4324, -6237, -8514?\nAnswer: -11161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4 - -1) + (9 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10773 and 1479?\nAnswer: 5311089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.391, -2, -17, 5\/2, -5.\nAnswer: -17, -5, -2, 0.391, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t + 1084 = -352 - 830 - 634 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**2 + 35 - 301*q + 75*q**2 - 35 - q**3 - 615*q.\nAnswer: -q**3 + 8*q**2 - 916*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103714*a**3 + 103903*a**3 + 24*a**2 - 24*a**2.\nAnswer: 189*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 4. Let z be f(4). Let h = 4 + z. Let o(y) = y**2 + 1. Let s be o(h). Calculate the highest common divisor of 136 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 0 + sqrt(180))**2*3 - (0 + sqrt(245))*5.\nAnswer: -35*sqrt(5) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = -r, 2*r - 3*r = -3*t - 28. Let d be r*2\/(-1)*(-655)\/(-10). Let c = -850 - d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -488704 + 5375762\/11. Factor 1\/11*h**4 - a*h + 29\/11*h**2 - 12\/11*h**3 + 0.\nAnswer: h*(h - 9)*(h - 2)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*w + 611*w - 236 = 214*w. Find s, given that 15\/2 - 5\/4*s**w - 25\/4*s = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2577 (base 8) to base 4.\nAnswer: 111333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.977 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-6)\/(-3))\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Let y(w) = -19*w**2 - 4*w - w + v + 4*w + 18*w**2. Let h(a) = 2*a**2 + 6*a - 6. What is h(i) + 4*y(i)?\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 22645248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157 - 152. Sort -0.4, d, 1.\nAnswer: -0.4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 304. Let j(c) = c + 454. Calculate -5*j(n) - 7*p(n).\nAnswer: 2*n - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 9:37 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v. Suppose -4*u - 28 = -2*d, -5*u - d - 44 = -9. Let t(p) = -p - 2. Let l be t(u). Put v, 2, l in decreasing order.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -104*o**3 - 6*o**2 - 6*o + 8. Let t be (-2)\/6 - 44\/(-6). Let s be m(t). What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.09?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-26) - 1740\/1508. What is the closest to 17 in o, -0.3, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 524, 547, 590, 659, 760?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(3 - 2 - 2). Let x = -12940 - -12938.0642. Let p = -0.0642 + x. Which is the nearest to -1\/2? (a) 2\/5 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q - 34*q - 312. Let r = 4 + -10. What is the tens digit of -3 + (-14)\/r - 382\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxcxcccxc. What is prob of sequence cccc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a**2 + 3*a + 1236. Let b(j) = 5*j**2 + j + 416. Determine 7*b(i) - 2*x(i).\nAnswer: 5*i**2 + i + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*j - 221*j - 115*p = 682, 4*j - j + 3*p - 5*p - 10 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 5331 + 2*f**2 + 32*f + 5330 + 0*f**2 - f**2 + 3*f**2 + (-2*f + 3*f - 2*f)*(-4*f + 42 - 42).\nAnswer: 7*f**2 + 32*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001143671 rounded to five dps?\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.219 + -0.081. Let f(v) = v**2 - 16*v + 43. Let o be f(11). Let g be (-4)\/2 + (-8)\/(64\/o). What is the nearest to -1 in a, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300*a**3*y - 723*a**3 wrt y.\nAnswer: 300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 2, o: 4, d: 1, y: 2}. What is prob of picking 1 k, 2 o, and 1 m?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -120*o + 9953. Determine y(83).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 2. Let j be c(-2). Solve 2*u - u - j = 2*r, -4*u = -3*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.195 * 0.164.\nAnswer: 0.19598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*b - 147*b - 1 + 1.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24*k - 3873. Let d be v(-164). Which is smaller: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 327 and -0.29.\nAnswer: -94.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4536 + -0.3241. What is o rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-2 + (1 - 10903)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 0 = 7*r. Solve -r*v - 1 = -4*d, -4*v - 4*d = -0*v + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 + 5*v**4 + 6987*v**2 + 2*v**3 - 4*v**4 - 5*v**4 - 59*v - 6986*v**2 to u*v + i*v**3 + d + o*v**2 + x*v**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -467*n**4 - 302*n**3 + 2871680 wrt n?\nAnswer: -1868*n**3 - 906*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 6. Let t(d) = -d - 5. Determine -3*j(m) + 2*t(m).\nAnswer: 13*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, -0.03, -1, -68.33 in descending order.\nAnswer: 0.041, -0.03, -1, -68.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 54*g = -59*g + 77, -56 = -3*l - 2*g. Let t(a) = -a - 1. Let b be t(-4). Put b, 2, l in decreasing order.\nAnswer: l, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3) + sqrt(3))*4 + sqrt(3) + sqrt(147) + sqrt(147) + -2 + sqrt(147) - (-1 + sqrt(3) + 1 + -4 + 5))**2.\nAnswer: -406*sqrt(3) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*y + 199*y + 197*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 4579334*n**2 - 2621285195776*n + 2621289775112.\nAnswer: -2*(n - 1)*(n + 1144834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 29*z**2 - 61*z + 8. Let p be n(3). Solve -5*s + p = 0, -4*i + 27*s = 25*s + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42075806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254277382?\nAnswer: 2, 3, 7, 19, 2824909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6921 + -3910. List the prime factors of k.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112.15 + -118. Let n = 4 + -10. Let b = n - y. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*u - 2340 = -37*u. Let o be (2\/4)\/((-13)\/(-4)). Put -2, u, o in descending order.\nAnswer: o, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2475080?\nAnswer: 2, 5, 43, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 14 - 18. Solve 0 = w*c - 2*x - 2, -5*x - 1 = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-195)\/(-52))\/(6\/(-8) - -1). Calculate the greatest common factor of q and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 3*c**3 + 2*c**2 - c + c**2. Let w(o) = o**3. Let l(x) = x**2 + 4*x + 3. Let v be l(-2). Let u(z) = v*n(z) - 2*w(z). Factor u(p).\nAnswer: p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 4. Let p = -0.3 + u. Let w = 0.048 - 0.248. Which is the closest to p? (a) -2\/15 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 30*g + 7*g)*(-12*g - 19*g + 12*g) + (g + g - 3 + 5)*(0*g + 2*g - 4*g) to w + n*g + k*g**2 and give k.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:04 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59*1\/2)\/((-56)\/20048) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 + 1. Let j be d(0). Let c(r) = r - 61. Let q be c(-34). Is (-463)\/(-5) - j - (-57)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22020 = 37*v - 1956. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - ((-36)\/(-15))\/(-1). Which is smaller: g or 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7994080 divided by 23512?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 693*p**3 + p**2 - 11*p - 12. Calculate v(-1).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.051, -207, -1\/27, -14 in descending order.\nAnswer: -1\/27, -0.051, -14, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cklzcoc. Give prob of picking 1 l, 1 k, and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1055 + -1677. Let i = -622.1 - o. Is -38.2 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -439, -897, -1365, -1843, -2331, -2829?\n\"Answer: -5*a**2 - 443*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p + 2. Suppose -w - 4*o + 14 = 0, 0 = -w - p*w + 5*o - 9. Factor -2*q - 1 - 10*q**w - 9*q**2 + 18*q**2.\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 - 1. Calculate the remainder when 22 is divided by x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1681043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-4)*(-9)\/(13 + 5). Solve 4*o + 5*v + a - 15 = 0, 2*v + 10 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 + 400573*s = 0?\nAnswer: -400573, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 5. Let i = 1 + p. Suppose i = -3*s + 29. What is the greatest common factor of s and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2104580 divided by 5\nAnswer: -420916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 176 + 4?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378363 is divided by 99?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14451 - 7422 + 5614 = -71*c. Solve -c = 42*y - 103 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - (0 + -2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.34 from -0.0824661.\nAnswer: 0.2575339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 t when four letters picked without replacement from ntuzb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-45)*h)**(-12\/17)*h**37*h**(-47)\/h assuming h is positive.\nAnswer: h**(329\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183 - -165 - (-1 - 16) - (54 + 5).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x - 42. Let g(u) = -2*u**2 + 344*u - 3248. Let d be g(10). What is y(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/49755 and -92\/14415.\nAnswer: 1542405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 592 - 591 = 0, 3 = -2*v - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 655371 divided by -72819\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 52?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -352, -1163, -2438, -4177, -6380?\n\"Answer: -232*i**2 - 115*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179207.35007 - 0.0315?\nAnswer: 2179207.31857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 739477 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = n - 203, 28 = 2*k + 5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*s - 44 - 0, -46 = -2*a + 4*s. Suppose 2*b - 5 = -1. Sort 5, b, a in descending order.\nAnswer: a, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219*50\nAnswer: -10950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289 + 497. Calculate the remainder when j is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670962?\nAnswer: 2, 31, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 + 0)*(12 - 17 - 32) + 7 + 5 - 1)*(1 - 1 + z) to the form w*z + p and give w.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 401\/4 - 1987\/20. Let w = -1507 + 661. Let u = -13521\/16 - w. Find the common denominator of u and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1962054 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022418 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 44 + 28 - 14 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 3*l + 231*l**2 + 2*l - 320*l**2.\nAnswer: -89*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 - k. Suppose c + 0 = -4*m - 5, -c = 3*m + 3. Let l(r) = -3*r + 5*r**2 + c*r. Give s(l(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 137633100 divided by -30?\nAnswer: -4587770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15025 + -12682.8. Round z to the nearest ten.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/18 - (-4)\/(-10)*-10. Let a(z) be the first derivative of 0*z**3 + 10 + i*z**2 - 9\/4*z**4 + 0*z. What is the second derivative of a(q) wrt q?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*w = 5, 3*w = -2*f + 6*w + 17. Let g(n) be the third derivative of -n**5\/60 + n**4\/8 - 3*n**2. Let b be g(3). Solve f*p - 7 - 1 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 73?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*x + 0*x = 52, 5*o - 4*x = 72. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916165272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 16.7. Suppose 0*w = 2*w + 6. Let k be (2 + w)*1\/(-2). Sort 1\/4, k, s in ascending order.\nAnswer: 1\/4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.1482.\nAnswer: 2.6676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26\/9 - 28\/9. Let a = -12 - -37\/3. What is the closest to 2\/5 in n, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 4*n, 4*b = -n - 10 - 6. Suppose -3*a + n = 1. Let m(g) = 17*g**3 - g**2. What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/84*42\/24\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.93 + 64. Is g less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 - 133*v + 133*v + (-208*v - 640*v - 2036*v)*(-2*v + v + 2*v).\nAnswer: -2890*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19892 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1260, 3414, 7018, 12090, 18648, 26710, 36294, 47418?\nAnswer: 60100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601030 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:08 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/16 or -9999?\nAnswer: -9999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, -70.\nAnswer: -70, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181807 and 14234.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(4\/16*-2). Let j be (486\/(-4))\/(27\/(-36)). What is the greatest common divisor of k and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g**5 + g**2*o - g*o + 331*g wrt g?\nAnswer: -420*g**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14964 divided by -4988?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3392519.\nAnswer: 13, 163, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -57, -84, -111?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:34 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60899800 by -258050.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 30 + 17 + 15 - 2*r - r. Let v(n) = n**2 - 2*n + 1. Let i(j) = j**3 + 7*j**2 - 7*j + 5. Let k be i(-8). What is k*p(y) + 4*v(y)?\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*s**3*u**2 + s**3*u + s**2*u**2 + 3*s*u**2 + 62*u**2 wrt s?\nAnswer: 60*s*u**2 + 6*s*u + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 2*t. Let n = 2 - -3. Let b(z) = 7*z**2 - 3*z + 1. Let j(g) = n*h(g) - 2*b(g). Suppose 3*v - 9 = -3*f, 2*v = -3*f + 5*v + 15. Determine j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:57 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/16 and 19\/110244.\nAnswer: 440976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 634.7 - 605. Let m = s + -30. Which is the nearest to -2? (a) m (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -62*q + 192. Solve 11 - q = -6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Let z = 7 + -6. Let l be i(z). What is the third smallest value in -0.4, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j + 26*j - 15*j + 2. What is u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 562 - -35075?\nAnswer: 35647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3858*i**3*m*x - 1169*i**3*m + 1021*i**3 - 10192*i**2*m*x - 2*i**2*m + 6*i*m - 2 wrt x?\nAnswer: 3858*i**3*m - 10192*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440 + 6*v + 440.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose -5*u = -a - 9, -a - 3*a - 13 = l*u. Let t(q) = -5*q. Calculate t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = 4*w - 20, 4*w = p + 61. Suppose -5*t + t - w = a, 0 = 4*t - 3*a + 22. Let b(z) = -1. Let d(y) = -2*y + 1. Give t*b(o) - d(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-20)\/25*(-135)\/6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3*t**2 + 11*r**2 - 5*r*t**3 + 4*t**3 + 5*t**2 wrt r.\nAnswer: -6*r**2*t**2 + 22*r - 5*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/156 + 0 + 56\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186 + 60 - 934 - 362 + v to the form d*v + t and give t.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 19 = -5*h, 5*h = -90*n + 91*n - 32. What is the least common multiple of n and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -5886 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/38947*255\/(-60)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/a**(-1\/17))\/(a*a**15)**(4\/31) assuming a is positive.\nAnswer: a**(-6854\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 77\/2 of a decade?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 10316964?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 - 150\/(-20) - 239\/(-2) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-18)*3 - 2. Let b = 161\/3 - 55. Let q = f + b. What is the second smallest value in -0.1, q, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 448\/(-3)*(3 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Let x be ((-6)\/(-21))\/((-1)\/(-7)). Let d be (-1)\/((2 + x)\/b). Which is greater: d or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {m: 1, e: 2, r: 2, w: 1, n: 1, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2592216.55 to the nearest one hundred.\nAnswer: 2592200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -442 + -123?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*3*6 - sqrt(104) - sqrt(104) - sqrt(104))\/(sqrt(8)*2*5) - (-1 + -4*((sqrt(1573) + 0)*-5)**2).\nAnswer: 3*sqrt(13)\/2 + 157301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 8. Suppose 5*b + 160 = 10*b. Suppose -44 = -4*w + 4*s, 5*w - b - 7 = -3*s. Solve -4*a - 2*m = -22, -4*a + w*a - v = 4*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5339*z - 177*z**3 - 5339*z)*(-3*z - 4*z + 6*z).\nAnswer: 177*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Let w(y) = -y**3 + 3*y**2 - y + 4. Let c be w(u). Which is greater: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10531975 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 740555218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -56. What is the smallest common multiple of 46 and c?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 30*a**2 + a - 1569. Let s be v(-31). Sort s, 15, 0 in ascending order.\nAnswer: s, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:51 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 994, 1, 0 in ascending order.\nAnswer: 0, 1, 4, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(((-1)\/4)\/1). Let l be 3 - a\/4 - -4. Suppose 15 - 87 = -l*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -6\/19, -2\/5 in increasing order.\nAnswer: -6, -2\/5, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 4}. Give prob of picking 4 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2. Let t(u) be the third derivative of u**5\/60 - 2*u**2. Give t(z(o)).\nAnswer: 49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -11.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - -222. Let i = 264 - f. Solve 5*m + 4*r = 8, m + i*r + 5 = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 137841897353.08?\nAnswer: 137841897367.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 2*m - 184 = 11*i, 5*m - 205 = -5*i. Solve i = 3*o - 5*w, 0 = -0*o - 3*o - 3*w - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779947 is divided by 389962.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 166. Find the common denominator of u and -26\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-14)\/v)\/v*v*v)**(-2\/13)\/(v**(-21\/5)*v**(-14)) assuming v is positive.\nAnswer: v**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*m - 12*m + 4*m)*(0*m - 4*m + 2*m)*(4*m + 0*m - 3*m)*(3 + 5 - 2 + (0 - 2 + 0)*(-1 + 1 + 2) - 3 + 1 + 4) as j*m**3 + i*m**2 + c + x*m and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 - b**2 + 2\/3*b**3 + 2*b. What is d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**5 - 3*l**5 - 2*l**5)*(-33 - 17 + 10).\nAnswer: 240*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.8 - 117.8. Let s = -7.366 + -26.71. Let p = o - s. Round p to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.2811 millennia to centuries.\nAnswer: 162.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52044911, -104089823, -156134735, -208179647?\nAnswer: -260224559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*v - 9, 15*j - 18*j + 6 = 2*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + -4 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**2 + 5*g**2 - 2*g**2 - 14*g**3 + 4*g**5 - 2*g**5 = 0 for g.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 + b**2 + b - 1. Let z be m(1). Let i = -28 - -7. Let w be (4 + i\/6)*0. What is the second smallest value in w, z, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564093 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 1. Let s be l(-3). Suppose -2*o = -s*y - 5 + 19, 3*y - 36 = -2*o. What is the remainder when 19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5206 and 5?\nAnswer: 17.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840750 and 114.\nAnswer: 840750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gig when three letters picked without replacement from iiiiiiiiigiigig?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**5 + 4*c**5 + 2*c**5 + (-3*c - 2*c**4 + 3*c)*(3*c - c + 0*c) + 6*c**5 - 10*c**5 + 303 - 302 + 190*c**2.\nAnswer: -9*c**5 + 190*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 565392805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + c + 7, -r + 5*c + 17 + 4 = 0. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*b - 54 - 48 + 102.\nAnswer: 80*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 21 = 56. Let n(z) = 7*z - 9. Let x be n(u). Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -1720.\nAnswer: -1719.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-110)\/66)\/(6\/(-2))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 + 46*s + 12. Let r(o) = -23*o**2 + 136*o + 34. Let w(k) = 6*r(k) - 17*t(k). Let q(z) = -3*z. Calculate q(w(n)).\nAnswer: 6*n**2 - 102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(2448))**2.\nAnswer: 9789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 2*a - 166 = -2*b, -89 = 2*b + 3*a. Is (8770\/b)\/((-2)\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 11802 = 24*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168*((-3360)\/(-128))\/(-105)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473715 divided by 99?\nAnswer: -4785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1078.864.\nAnswer: 431.5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36145 + 1e?\nAnswer: 36163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1926\/(-48) - (-2)\/16. Let t be 22\/(-8) - (-10)\/i. Let r be (-2)\/t - (-16)\/12. Is 4 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 132*l - 1113. Calculate g(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 4990*y + 1245005 = 0. What is y?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -140.5. Let u = 5.6 + v. What is the third smallest value in -0.071, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 15*u + 35. Suppose 5*k = u*k + 18. Suppose 2*i - 1 - 3 = 0. Let a(j) = -3*j. Let b(x) = -12*x. Determine i*b(f) + k*a(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 4, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-7) + (-624)\/(-182). Suppose p*m - 47 - 80 = -i, -m + 538 = 4*i. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let y(u) = -u**2 + 4*u - 3. Let f(g) = -g**2 + 3*g - 2. Let i = -7 - -11. Let j(b) = i*y(b) - 5*f(b). What is j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*z + 5*d - 12, -4*z = 5*d + 27. Let a be -1*z\/2*-2. Is 0 + 208\/(a - -4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-102)\/2652*14\/((-2)\/(-2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 28, 61, 114, 193, 304?\n\"Answer: y**3 + y**2 + 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/5 - 22924*m**3\/5 + 65412546*m**2\/5 + 1585711216*m\/5 - 7387978976\/5 = 0.\nAnswer: -28, 4, 5743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away -4681.34?\nAnswer: 4654.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 - 4*i**2 + 5*i**2)*(2*i**3 - i**2 + i**2)*(1 + 7 - 1).\nAnswer: 126*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-3)*y**9*y**(-2\/91) assuming y is positive.\nAnswer: y**(817\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839976.8g to milligrams.\nAnswer: 839976800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -892693 - -1?\nAnswer: -892692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3059 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 540, 1211, 2150, 3357, 4832, 6575?\n\"Answer: 134*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r**2 - r + 25*r**2 + 3 + 19*r**2 - r**3 - 60*r**2. Calculate o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 187, 280, 373?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -65?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4305 and 8.94?\nAnswer: -38486.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 20*u**2 + 19*u + 1314. Give j(-22).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8857 + -11359. Which is bigger: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 1252*h**2 - 4944*h = 0 for h.\nAnswer: 0, 4, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:01 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9975*m**2*t**2 + 4*m**2*t + 58522*m**2 + 3*m*t**2 with respect to t.\nAnswer: 19950*m**2*t + 4*m**2 + 6*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {n: 6, j: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6472 by 809.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9481 + -4789. Does 69 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -21 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x**3 + 5*x**2 + 2. Let j(m) = m**2 - 1. Let y(d) = -2*j(d) - q(d). What is the third derivative of y(u) wrt u?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157574304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + 0.102. Let j = b + -2.762. Round j to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -925, -1, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**2 + 11*d - 20. Let x(c) = 5*c**2 - 6*c + 11. Suppose o - 7*j + 2 = -4*j, 3*o + j = 14. Let n(b) = o*u(b) + 7*x(b). Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -126. Let z = w - -71. Solve -b + 4 = z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2 - m + 2*m + 4. Suppose 306*o + 594 - 544 = 2498. Calculate u(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71320 and 22656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14583488 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 13. Let w(r) = r + 1. Let o(y) = v(y) + 5*w(y). Let g be o(4). Suppose -48*b + 80 = -g*b. Solve -3*p = p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 19, -3, 2 in increasing order.\nAnswer: -3, 2, 19, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 67*s**2 - 33*s + 4. What is l(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103943 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 6*z + 17. What is the hundreds digit of f(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 9*v + 4. Let l(j) = -j + 22. Let y be l(-27). Let b be 1*38 + 5 + -3. Let g = b - y. Give m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 + ((-384)\/56 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**3 + 6*p**2 - 45*p - 5. Let s be r(4). Suppose -3*u - 93 = -3*g, -2*g = -5*u + 2*u - 61. Suppose -29*t - s = -g*t. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1560 + -1560.09151. Round w to three dps.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1397*q**6 + 2935*q**3 - 28164*q**2 - 35.\nAnswer: 167640*q**3 + 17610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 126 - (23 + (14 - (-18 + 37)) + 1)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*y + 178 = 0, 4*l = 19*y - 18*y + 177. What is the highest common factor of l and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102478 is divided by 292?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 57 - 17*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182374535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741*-0.117.\nAnswer: -86.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 65 = -4*a + 70, 4*a = -2*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -12, -539, -8.\nAnswer: -539, -175, -12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 4. Let z(o) = -3*o - 6. Let x(p) = -7*s(p) - 5*z(p). What are the prime factors of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*f + 3*f + 2*f)*(0*f**4 + 2*f**4 - 5*f**4).\nAnswer: -6*f**5 - 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025 = 235107*v - 235066*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 3*x + 47*x**2 + 0*x + 40*x**3. Let p(z) = -119*z**3 - 140*z**2 + 17*z. Let c(u) = 6*p(u) + 17*v(u). Find the third derivative of c(k) wrt k.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/99, -1\/6, -4\/11 in descending order.\nAnswer: 2, -2\/99, -1\/6, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*q*y + 4*l**2*q + 64239163*l**2*y**2 - 3*l*q*y + 269*l*q + 2*q*y**2 + 5*y - 4 wrt y.\nAnswer: 128478326*l**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3174.440702 and 0.1?\nAnswer: 3174.340702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1819507 + 0.027\nAnswer: 1819507.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -50, -121, -232, -389?\n\"Answer: -u**3 - 11*u**2 + 3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828873 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 - 2*f**3 - 5*f**2\/2 + 1. Let q = -24 - -18. Does 11 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3 - (-6)\/4). Suppose 2*f - 1 = 5*v - n*v, 37 = 5*f + 4*v. Suppose 2*r = r + f. Solve r*y + 4 = 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*m = 19, -3*m = 5*d + 5 + 24. Let r = -7 - d. Let p = r + 7. Solve q = 2*q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.2, 0.036, -3\/2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from ozoazizzzizozzzooozo.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**5 + 156*l**4 + 2104*l**3 + 4944*l**2 - 7200*l = 0.\nAnswer: -6, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(48))\/sqrt(6) - (sqrt(108)\/(sqrt(18)\/sqrt(2)))\/sqrt(6).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -224 - -378. Calculate the smallest common multiple of 140 and z.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (506 - 507)\/(-2 - 118289\/(-59145))?\nAnswer: 3, 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3*4\/12)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 + -4.68. Which is the closest to 2? (a) -4 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959646 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n**2 - 5*n + 81. Let s(b) = 9*b**2 - 1. Give -a(z) + 2*s(z).\nAnswer: 2*z**2 + 5*z - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -5*j**6\/2 - 73*j**5\/5 + 2*j**3\/3 + 197*j**2\/2 - 3148. Find the third derivative of u(r) wrt r.\nAnswer: -900*r**2 - 1752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -19 - (9 + 0)) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/113 (b) 5 (c) 41\/3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t. Determine r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let k(c) = c**3 + 3*c**2 - 3*c + 8. Let m be k(-4). Suppose 4*r - 4*x = 0, 2*x = -m*r - 2*x + 8. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8) + 2*195\/70.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -4809, -11140, -20047, -31506, -45493, -61984, -80955?\nAnswer: -102382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 246106200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.6*10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 2.01. Let k = 10 - 16. Let u = 6 + k. Which is the nearest to u? (a) 4 (b) r (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33236.17 decades to years.\nAnswer: 332361.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 748, 750, 752, 754?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 at least as big as 4048512\/1121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -930, -1246, -1758, -2454, -3322, -4350, -5526?\n\"Answer: 2*g**3 - 110*g**2 - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1362 + 56*l**4 + 1362 + (-5*l**3 + 2*l**3 + 4*l**3)*(4*l + 0*l - 6*l + (l + 1 - 1)*(2 - 2 + 1)).\nAnswer: 55*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + (-9 - -7) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/331175 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqkaphhp. Give prob of picking 2 k and 1 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 0)*8\/10. What is the closest to 0.2 in 0.4, -3, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.17140043 and -7.356.\nAnswer: -7.18459957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 140740679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 + 4*v + 6. What is h(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -17)\/1 - 3. Let v = -6 + d. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3*8\/24)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 4 + 34 + (20 - (-2 + -2 + 1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + z - 78 + 227 = 0, -3*z = -3*q + 87. Suppose 9*n + 6*n - q = 0. Solve -10 + 4 = -n*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-8))\/(5\/(480\/(-36)))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*z + 39, -z + 2 - 7 = 0. Let n = -54 - s. Solve -22 = n*y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**4 + 12*f**4 + (5 - 2 - 4)*(-f**4 + 3*f**4 + 0*f**4).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -7\/16*r**4 + 0*r + 0 - 129*r**2 - 1\/40*r**5 - 5\/2*r**3. Determine q, given that k(q) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 215082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289 - -290. Suppose -m + 361 = 15*p. What is the lowest common multiple of 48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -7*b + 2*b - 40, 32 = -4*b + f. Let a(l) = l + 9. Let t be a(b). Put t, -1, 5 in ascending order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + k)*((-2*k**2 + 0 + 0)*(-k + 2 - 2) - 2*k**3 - 3*k**3 - 42*k**3).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34369?\nAnswer: 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - 16.95201977\nAnswer: -16.25201977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -859364*d*l**3 - 11*l**3 - 7*l**2 + 52*l + 13 wrt d.\nAnswer: -859364*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/93861 and 11\/8.\nAnswer: 750888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*h**5 + 50405*h**4 - 9125775*h**3 + 18684125*h**2 + 665945*h - 3866430 = 0. What is h?\nAnswer: -3\/7, 1\/2, 2, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5577 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-110))\/((-737)\/1474)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6358 + -6290. What is the greatest common divisor of g and 3893?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 157, 314, 473, 634, 797, 962?\n\"Answer: m**2 + 154*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, 17, 60, 103?\n\"Answer: 43*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1497144 = 59*s - 1202401. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4) - sqrt(13))**2 + sqrt(13))*-2 + 3 + ((sqrt(52))**2 + 2 - sqrt(104)\/(sqrt(24)\/sqrt(3))).\nAnswer: -3*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 + 169045*q + 169040 = 0.\nAnswer: -33808, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208\/11 + -3089\/22. Let k = o - -118. Which is bigger: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(72) + -4.\nAnswer: -12*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 - -0.333. Let i = a - 0.113. What is the smallest value in -7, -0.2, i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 6:29 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(sqrt(68)*-2 + 3 + sqrt(68)) - 5*(-1*sqrt(68) + 2)))**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11780650 divided by -694.\nAnswer: -16975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-20) - 1\/(20\/(-8)). Suppose c - 3*b = 102, 4*b = 5*c - j*c - 466. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 75. Suppose 4*t + l = -25. Let g be (-211)\/(-5) + 2\/t. Calculate the highest common factor of g and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 8 = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 21*u + 5*z = 9*u + 20, z + 70 = 7*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30475.\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1785890665 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, 1825?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-15))\/((-6)\/(-15)) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696\/(-4928)*((-32)\/(-996))\/(-2)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 + (-18 - 9) - -19) + (-1 - -12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*v - v - 4, l - 4*v = -29. Let a = l - -4. Let k(d) = -10*d**2 - 16*d - 16. Let p(m) = 3*m**2 + 5*m + 5. Calculate a*k(f) - 16*p(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103110331 divided by -220793.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4085*f*n**2*z + 9*f*n**2 - 2*f + 10*n**2 - 1 wrt z.\nAnswer: 4085*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w**2 - 1. Let k(d) = 89*d - 168*d + 82*d. Give y(k(u)).\nAnswer: 126*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(76)*1 + -3 + 1)*4 + 5.\nAnswer: -35 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 28541 = -8154. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/10939228 and 41\/144.\nAnswer: 393812208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*m - 24 = 0, 16397*m + 51 = -6*z + 16400*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2146*o + 527. Is c(50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-892 - -935) + (-2 + (-2 - -11) - -3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 2, j: 1, l: 1, x: 2}. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3790395 and 51\/392.\nAnswer: 30323160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) -1.22 (c) -0.5 (d) -49\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**4\/l)\/l)\/l)\/((l\/(l*(l*l\/(l*l**1)*l)\/l*l))\/l))\/(l**(-1))**(-22))**20 assuming l is positive.\nAnswer: l**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 2. Suppose -21 = -3*t - 6. What is the first derivative of 6*w**3 - 3 + 3*w**i - 3*w**2 - t*w**3 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 24*s + 26. Let x be t(-1). Which is the third smallest value? (a) x (b) 1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllaall. What is prob of sequence aa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1246 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-26 - -46) + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 23*q + 36*q + 2672 + 3757.\nAnswer: 52*q + 6429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d - 7. Let y(g) = -5*g - 7. Let h(k) = 2*f(k) - 3*y(k). Let j be h(-5). Solve w + j*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1273\/3 - 1271\/3. What is the smallest value in a, -0.3, 3, -2\/33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (8 - 20) - (2 - -2 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59609516.3 rounded to the nearest ten thousand?\nAnswer: 59610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -42, -46, -38, -12, 38, 118, 234?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 250761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1224 and 23\/30?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150\/2 - (7 - 11). Let r = s - -82. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 45\/7 (b) 829 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-5\/6)\/g))\/g*g**(-6)*g*g*(g**(-1))**(-3\/31)*((g**3\/g)**(-20\/9))**(31\/2) assuming g is positive.\nAnswer: g**(-39595\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 - 33.63. Let b = l - -28.8. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551 (base 14) in base 6?\nAnswer: 110551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*l + 9 = 33, 4*y = -l + 22. Suppose -y*u = -9*u - 2*h + 6, -2*h = 5*u - 6. Suppose -13*d + 11*d + 4 = u. Let v(g) = 2*g. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 584?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00536273991 rounded to 6 dps?\nAnswer: -0.005363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 - k**3 - 21301*k + 8*k**3 + 21301*k - 5*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.6 + 22. Let z = i - 0.4. Sort 4\/7, -2\/3, z in descending order.\nAnswer: 4\/7, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 + 814*o - 19683. Calculate w(62).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*i**3\/4 + 494333*i**2\/2 - 2106587295*i - 145283058.\nAnswer: -(i - 17046)**2*(29*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d - 59 = 5*y, -4*d - 7 = y. Which is smaller: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.427775 micrograms in kilograms?\nAnswer: 0.000000006427775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25481 and 581.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12955.8 to the nearest 100.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:48 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:08 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*y = -5, 4*g = g + 2*y. Let i(k) be the third derivative of k**5\/60 + k**4\/12 + k**3\/2 - 32*k**2. What is i(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*g + 2, 0 = -5*r - 0*g - 4*g + 6. Suppose -x + 2*f + 30 = 1, -r*f - 10 = 0. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m**2 + m + 21. Let u(j) = j**2 - 15*j + 17. Let x be u(13). Let l = x + 9. What is the units digit of p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 334 + -286. Let a(o) = -o**3 - 8*o**2 - o + 9. What is the remainder when i is divided by a(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/3 + 11*w**2\/2 - 3*w - 3. Let d be z(9). Suppose 2*t + 5 = d. Solve 2*f = 5*o - 0*o - 10, -o + 29 = t*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1755555 less than -1755584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148731165 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 89 = 444. Let i = 76 - w. Calculate the remainder when 23 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*b - 321, -b + 336 = 2*b + r. Suppose 615 = 6*i + b. What is the first derivative of -2*w**2 - i - 4*w**2 + 92 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 3. Let r be f(0). Let p = r + -8. List the prime factors of p\/(-25) - 14\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let p(w) be the second derivative of 0 + 52*w - 5\/6*w**3 + 0*w**2. Calculate v(p(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - 0.12. What is the smallest value in z, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.300968773 + -0.5\nAnswer: -1.800968773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 15*b - 3 + 3 as o + z*b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4065223 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + h = -21, -3*c + 4*h - 14 = -80. Suppose -3*n = -n - 6. What is the least common multiple of c and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49899 by 16908.\nAnswer: 16633\/5636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.9 and -12\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/3 + 2*u**2 + 2. Let x be j(-4). Let p = 3 - x. Solve -5*i - 12 = p, 3*i = f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9158?\nAnswer: 2, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -8*i - 1680. Suppose -79 - i = -3*d. Is d a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 407997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 16. Suppose 2*c = -1 + p. Solve 0*m - c*m = t - 6, 0 = 3*t + m - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1869285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 22*s**4\/7 - 191578*s**3\/7 - 574866*s**2\/7 - 82130*s - 191644\/7 = 0.\nAnswer: -1, 95822\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 5*y)*(-126*y**2 + 252*y**2 - 169*y**2) + 5*y - 5*y - y**3 to the form c*y**3 + a*y**2 + v*y + k and give c.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.4, 0.1, -2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008147779 to 6 dps.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185708 + 206914 = 4591*k + 89616 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2753 less than -215?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768659, -1537440, -2306221?\nAnswer: -3075002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590.9 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 1, n: 4, l: 2, b: 2}. What is prob of picking 1 y, 1 r, and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 635.43?\nAnswer: 636.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.192 * 2.88.\nAnswer: 0.55296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 27023453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 2. Let d be 102\/(-9) - (29 + -40). What is the second smallest value in -12, d, s, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42*p - 1444 = -38. What is the remainder when 848 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = 0, 5*i - 5*w + 2697 = 9*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*k**2 + 9\/4*k - 7\/2 = 0. What is k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1807\/3 - -594. Let g = 120833\/10 - 12094. What is the common denominator of g and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2384545\/5977 + (-6)\/(-129) and 63.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251872147*m**4 + 103188527*m.\nAnswer: 3022465764*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/38976 and -53\/96.\nAnswer: 38976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 64. What are the prime factors of o(-21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -832 - -880. Find the second derivative of -248*i**5 - p*i + 740*i**5 + 1 - 234*i**5 wrt i.\nAnswer: 5160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90\/36417307 or -1?\nAnswer: -90\/36417307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27977920 a multiple of 2780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:29 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**4 - 7\/20*r**5 + 0*r**2 + 0 - 3*r - 7\/6*r**3. What is the second derivative of x(s) wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05398114 times 0.1?\nAnswer: 0.005398114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(1\/3))\/(f**0*f))**(-7\/2)\/((f\/(f**(-1\/3)*f))**(-25)\/(((f\/((f\/f**(1\/3))\/f))\/f)\/(f\/f**(3\/5)))) assuming f is positive.\nAnswer: f**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1*(-3)\/36). Let j(h) = -11*h. Let z(v) be the first derivative of 27*v**2\/2 + 24. Calculate r*j(s) - 5*z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5755*u**3 - 17*u**2 + 7*u + 3295. Let c(k) = -1918*k**3 - 5*k**2 + 2*k + 1098. Let z(b) = 7*c(b) - 2*r(b). Find the third derivative of z(l) wrt l.\nAnswer: -11496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1927 and 5667824?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2306626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 135?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 482035 - 2423881\/5. Let o = t + 2752. Calculate the common denominator of o and (2\/(-22))\/((-595)\/5355*(-2)\/(-6)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166744 is divided by 317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/36 and -131\/66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -222.\nAnswer: -5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-6)*(2 + 39\/(-20)). Let j = 9 - 8.9. Which is the closest to 0.1? (a) -0.1 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597338?\nAnswer: 2, 7, 42667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 311, 628, 963, 1310, 1663, 2016, 2363?\n\"Answer: -l**3 + 15*l**2 + 279*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 38 = -4*j, -4*d - 73 = -32*j + 23*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**4\/14 + 6*r**3\/7 + 23*r**2\/7 + 30*r\/7 - 60. Factor z(m).\nAnswer: 2*(m + 1)*(m + 3)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113\/3 + 229\/6. Which is the closest to -1? (a) q (b) -1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -230320*j**3 - 12*j**2 - 116*j + 40. Let t be d(-10). What is t rounded to the nearest one million?\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -78 + 82. Let o be 9\/(-2) - (-1)\/2. Let w be 3*-2*(-2)\/o. Which is the nearest to x? (a) w (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/((-4)\/16*40\/90)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -718, -1077, -1436, -1795?\nAnswer: -2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.94332 + 0.05668. What is the biggest value in -36\/13, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8*(12\/3)\/2)\/(81\/5103).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 464\/(-696)*(-306)\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 16 = 3*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*s - 175 = 0, 4*t + s - 343 = -0*s. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3788 and -166466?\nAnswer: 170254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2206412 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 - 35*h**3 + 5*h**2 - 8?\nAnswer: 120*h**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14930 - -30284. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 243.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and (-3232)\/960 - (-2)\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/39)\/(2\/(-18)). Let m be 30\/(-130)*(18\/(-60))\/(3\/(-82)). Let g = w + m. Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 8*t**2 + 5. Let b be a(8). Let g = b - 1. Let q(p) = p**3 - 5*p**2 - 6*p + 7. What is the remainder when q(6) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6451186 and 212954?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/4 - d**3 + 3*d**2\/2 + 2. Let i be (-2976)\/27 - 44\/(-198). Let n = -113 - i. Calculate p(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182*l**4 - l**2 + l - 4584 with respect to l.\nAnswer: 728*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111132 (base 4) in base 11?\nAnswer: 103a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 8*w - 15. Let h be p(4). What is the common denominator of 73\/(-20) - (-1 + h) and 5\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10951.\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -278, -418, -558, -698?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(-3 + 38 + 1).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/7 - 319\/56. Let y be (-4)\/95*(-93)\/6. Let t = -1\/19 + y. Which is the third biggest value? (a) i (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 633 + -373. What is the remainder when g is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7137)\/1342 + (-6)\/4 + (-10)\/55?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g - 4 + 20*g**2 + 15*g - 15 - 5 wrt g.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:42 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, z: 7}. Give prob of picking 3 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 171\/114*8\/6. Suppose -6 = -3*b - 174. Let y = -36 - b. Solve 2*h + f*h = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 1, a: 9, e: 1, v: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 14*t - 16*t. Suppose t*k - 715 = 2*k - 2*w, 3*k = -5*w + 429. Suppose 0 = -5*d + 5*x + 135, -2*d + k = 3*d - x. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6756 + 62032?\nAnswer: 56387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -3, 1, -3.77, -280?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 2, -2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222100 (base 3) to base 10.\nAnswer: -5085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.1 - 47. Let u = 5 + -7. Let y = u - -2.4. What is the closest to z in y, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b - 12. Let c be v(-5). Suppose 9*u = 4*u + 15. Let n = u - c. Solve -g - 4*g + 2*j = -4, -n*j = 3*g - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20123203 - 12002?\nAnswer: -20201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-38)\/3))\/(6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491092 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 140*a**2 + 169 + 55 + 138*a**2 = 0 for a.\nAnswer: -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574873*t**3 + 552161*t**3 - 1127032*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let x = -1.92 - 0.08. Let i = x - -1. Which is the nearest to i? (a) 5 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 25 + 9)*(2*d - 4*d + 6*d)*(0 + 1 - 3)*(1 - 1 - d).\nAnswer: 320*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 6. Let j be i(-7). Let x be 1 + (j - 6\/1). Let r be (-20)\/(-6) + x\/12. What is the greatest common divisor of 15 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. Let y = 9 - m. Suppose 2*q = -3*z + 6*q - 4, -28 = -4*z - 3*q. What is the greatest common divisor of y and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 3)*(-4 + 3 + 3) - 4 + 5 - 2)*(86 - 24 - 26)*(-6*n + 2*n + 2*n).\nAnswer: 216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:28 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13032 and 6579.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 18*p - 5. Let b be x(-18). Let o(w) = 5*w**2 + 12 + 7*w - 4*w**2 + 0*w**2. Let i be o(b). Solve -i*a + 0*a + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1200 and -71\/19800?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 p, and 1 l when four letters picked without replacement from ppplkkkllkpk.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbuwwbbbbvwwww. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 37083*r = 37081*r + 38, 0 = j + 11*r - 62 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -610 + -5666?\nAnswer: -6176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjgs when four letters picked without replacement from dguusgjsddddjdgdguuu?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -1\/24 (c) 4 (d) 1\/6 (e) 144\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = 3*j, 4*j = -3*b + 9 - 11. Suppose -425 = -4*a + w, 0 = -a + w - b*w + 100. Calculate the highest common factor of a and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 5. What is the lowest common multiple of 12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437\/28 + 61\/14. Which is greater: -10 or q?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8777136007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-20) + (-69782)\/40. Let c = g + 1723. What is the common denominator of 12\/16 - 203\/36 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/5 - 4629*a - 6180978\/5 = 0. Calculate a.\nAnswer: -7438, -277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -151, -240, -323, -400, -471, -536?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -22481805874?\nAnswer: 22481805874.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**7)\/l)\/l*l**(1\/3))**(-3\/5))**(-1\/10) assuming l is positive.\nAnswer: l**(-23\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 27\/8*f**4 + 3\/2*f**5 + 1\/4*f**6 + 7\/2*f**3 + 3\/2*f**2 + 0*f - 6. Suppose z(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(2 + 5\/(-2)). Let w be c\/(-21) - (-14)\/(-49). Is w > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -421015 + 1025?\nAnswer: -416660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 2*y)*(-13*y + 5*y + 3*y**4 + 2*y**3 + 4*y**3).\nAnswer: -6*y**5 - 12*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 + 1 + 2 - 68*i + 70*i. Let t(v) = -32*v**2 - v. Give t(u(b)).\nAnswer: -128*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8512\/95)\/(2 + 18\/(-10)). Calculate the highest common divisor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*c + 14*c - 9*c + 64. Suppose -4*r + 3*r = 0. Let i be (0 + -1)*(0 - -1). Sort i, c, r in descending order.\nAnswer: r, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 10*z - 7. Let m be n(2). Factor -2*o**2 + 3277*o + 1 + m - 3285*o.\nAnswer: -2*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 + 16*s**2 + 2*s. Let d(g) = -9*g**3 + 32*g**2 + 6*g - 2. Let z(a) = 6*d(a) - 11*h(a). Give z(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let g(o) = 5*o + 20. Let h(s) = -2*s - 7. Let b(t) = 4*g(t) + 11*h(t). Let r be b(m). Which is bigger: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3914, 7831, 11750, 15671, 19594, 23519, 27446?\nAnswer: 31375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946069879?\nAnswer: 23, 5791, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.2 - 48. Let g = -0.2 + w. Suppose z = 2*n + 5, 5*z + 3*n + 43 = 16. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970613 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: Let f(o) = 7*o - 3*o - o**2 + 2*o**2 + 4. Let q = -17 + 13. Does 4 divide f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*v + 103 = -19 + 184. Let z = -5 - -8. Let c(j) = -3*j**3 - 4*j**z + 2*j**2 + 4*j**3 - j. Determine c(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1976\/1235)\/(44\/15).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 203, 457, 813?\n\"Answer: 51*c**2 - c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2461 = -7*i - 16*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 466683048 divided by -15912\nAnswer: -29329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52618 and 11.\nAnswer: 578798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2 + 3452368) - 4. Is f\/(-78) + (-10)\/65 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308036851 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 2. Let x be k(0). Suppose -x*o = -4*f + 222, 0 = -5*f + 3*o + 400 - 122. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201112110210 (base 3) in base 10?\nAnswer: 1447410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -0.9. Let b = 0.7 - j. Let t = 0.2 - b. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1 - 6\/(-12)*2. Suppose t = -23*v + 24*v - l - 261, -2*l + 768 = 3*v. What is the remainder when v is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2671 - 8092\/3. Let b = -26 - n. Let t = -1\/7 + 11\/28. What is the nearest to 2\/5 in t, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/7 + -1 + 4. Let t = p + 10. Solve -4*l + 19 = 2*o - l, o - 5*l + t = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2855*r + 1456051. Determine o(-510).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:55 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85, -202, -489, -776?\n\"Answer: -287*p + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0144485624 + 2659.\nAnswer: 2659.0144485624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 30. Let y be n(0). Suppose -4*w + 11 + 57 = 0. Let a = y - w. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = s + 3*s. Suppose 31*n - 14*n - 3910 = s. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + (3 - 6 - -2). Suppose -1 = 3*r - k. Let z(y) = y**2 - r*y + 6*y. Let o(m) = -2*m**2. What is o(z(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 1836*y**2 - 5513*y + 24. Give n(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11001100?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -102, -365, -826, -1551, -2606, -4057, -5970?\nAnswer: -8411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1\/2))\/(f**(2\/9)\/f)*(f**(-4))**(-3\/34) assuming f is positive.\nAnswer: f**(1111\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-1)\/(-3) + 13\/(234\/444)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 2*k + 164, 5*z + 410 = -k. Let g be z\/(-5) - (-6)\/(-15). Let s be (-1)\/(1\/(-80)) + 0. Calculate the greatest common factor of g and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754.619 years in centuries?\nAnswer: 27.54619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -616 - 362. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 31*g + 31. Suppose p + 288 = -11*p. Let q be a(p). Suppose 2 - 5 = m, -m - q = -4*y. Calculate the remainder when 195 is divided by y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**4)**(10\/7)*((o*o*o\/(o\/o**4))\/o**(-4))\/(o**(-2)\/(o*(o**(1\/4)*o)\/o)) assuming o is positive.\nAnswer: o**(291\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215559257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 1008 = -35*i. Calculate the least common multiple of 32 and i.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 14 + 44)*(3*k + 3*k**3 - 3*k + k**4).\nAnswer: 21*k**4 + 63*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661937?\nAnswer: 283, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2806 - 59. Calculate the highest common factor of 82 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.92 + 0.35. Let b = f + -0.34. Round b to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/56 - ((-2)\/(-48)*-10)\/(2\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r + 4*t - 10, r = t - 1. Suppose 0 = y - 6 + r. Solve 3*x + 7 = -y*j - 20, -4*j = -5*x - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 5*t + 16 = 0, 0 = h - t + 8. Let k = h + 8. Suppose x = k*x - 12. Calculate the remainder when 7 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -482*j - 14. Let b(s) = -722*s - 22. Calculate 5*b(u) - 8*m(u).\nAnswer: 246*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*q + 125801 = -6*q + 22577. Calculate the highest common factor of 1156 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 417461.\nAnswer: 16698.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 - -3667\/26. Let s be 42\/(-8)*(-492)\/918 + -3. Let l = s - -1\/51. Which is the closest to l? (a) w (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 1441 + 2479. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2. Let w be c(6). Let k(v) = v**2 + 6*v + 4. Let r be k(-6). Factor -n**5 + 0*n**5 + w*n**3 - n**3 - 2*n**r.\nAnswer: -n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*c + 50 - 33*c + 67*c)*(3 + 0 - 4) in the form w + i*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8394*0.2\nAnswer: -1678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 83, 84, 83, 80, 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*d**3*o - 8*d**3 - 10*d**2*o - 1271*o - 29 with respect to d.\nAnswer: -168*d**2*o - 24*d**2 - 20*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 46. Solve -4*v = -o - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 32, 62, 124, 230, 392, 622?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 215 = -65*f, -l + 1098*f - 1093*f = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*j - 2*j + 3*j)*(0 + 2 + 0).\nAnswer: 104*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5.324579 times 27\nAnswer: 143.763633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137 - -5?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 729887 * -5\nAnswer: -3649435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88973 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -20. Let g = -37 + y. Let k = 126 + g. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*h + 139*h**3 + 68*h - 442*h**3.\nAnswer: -303*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-873)\/1455)\/((-9)\/(-2))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106226 + -106164.0076. Let m = j + -62. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k**2 - 3*k**2 + 2*k**2)*(-k - 2*k + 2*k) - 33*k**3 - 14*k**3 - 11*k**3)*(-1 + 4 - 2)*(2 + 2 - 2).\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 934166, 1868329, 2802490, 3736649, 4670806, 5604961, 6539114?\n\"Answer: -g**2 + 934166*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -251?\nAnswer: -94\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 18. Calculate the lowest common multiple of 7 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2059847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 - 6*y + 4. Give w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, 44 in ascending order.\nAnswer: -3, -1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) -66 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*m**3*u**2 - m**3*u - 5579*m**3 + 79*m*u**2 - 729*u wrt m.\nAnswer: 66*m*u**2 - 6*m*u - 33474*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/9280 and 99\/9280.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4389 and -41\/141?\nAnswer: 206283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285 - -287) + (-3 - -1) + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*f - 4*n, 2*f + n = 4 - 1. Suppose -f*g - o = -35, -o = -2*g + o + 18. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343383 is divided by 22389?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 130.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -0.8. Let b = -1.6 + 6.6. Let n = k + b. Sort 2, n, -2 in descending order.\nAnswer: 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40202423 (base 5) to base 10\nAnswer: 319113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -297, -595, -1011?\n\"Answer: -59*y**2 - 3*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -2*p**3\/3 + 123*p. Let j(u) = -3. Let r(v) = -v + 7. Let q(h) = 7*j(h) + 3*r(h). What is s(q(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 + 5*b - 2. Let i be c(-3). Let y(m) = 11*m**3 + 1. What is y(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 9:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5912*j*u + 5267448*j - 9*u wrt u?\nAnswer: 5912*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262351088*v**3 - 14911*v**2 + 7382 wrt v.\nAnswer: 1574106528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) 39 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 611735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.956 + 15. Let y = 0.156 + s. What is the closest to y in -3\/7, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 2*s + 3. Let w be p(-2). Calculate the remainder when 7 is divided by ((-4)\/w)\/((-4)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.6, -7, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 4. Suppose 4 = 4*i, 10 = 3*q + k*i - 0. Factor 4*y**2 + 3*y + 2*y**q - 4*y**2 - 4*y - y**3.\nAnswer: -y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iui when three letters picked without replacement from {d: 6, a: 1, u: 9, i: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 487*u - 249. What are the prime factors of n(-148)?\nAnswer: 5, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483714355?\nAnswer: 3, 5, 37, 53, 84437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6)\/(2 - (-4)\/(-6)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 12*k - 69. Let n = 179 - 174. Does 21 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*32454.8.\nAnswer: 129819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 71*f**2 + 140*f - 64.\nAnswer: -(f - 1)*(f + 16)*(5*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3455939702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.054 - -0.021. Let q = -0.533 - k. Let x = -461 - -8757\/19. What is the second biggest value in q, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32010 + -32641.76. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19678797 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxj when three letters picked without replacement from jzqppzpnzxqqqqpq?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 159.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 7 + -27 + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119877 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4954143 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from ddxdjzjjzdxzzj?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -438, -567, -694, -819, -942?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 8*d**2 - 5*d + 2. Let f be o(-7). Let a = -14 - f. Let c(p) = -4*p - 3. Determine c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 241677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2 + 1\/3*m**3 + 0*m**2 + 0*m. Let h(g) = 3*g + 5. What is h(i(f))?\nAnswer: 3*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 922350.3ml?\nAnswer: 922.3503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8020, -15967, -23914, -31861, -39808, -47755?\n\"Answer: -7947*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -115. Suppose 8 = -24*r + s*r. Let t be (10\/(-40))\/(2\/r). Is t bigger than -3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -37301.\nAnswer: 111903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:08 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 48. Let x = 2 - o. Is (-236)\/x - 4\/(-10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.1663.\nAnswer: 0.06652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**5*f)\/f)\/(f\/f**(-1)))\/(f**(1\/2))**(-43))**(-5) assuming f is positive.\nAnswer: f**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 233, 236, 241, 248?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v)\/v)**(-43)*v**(2\/11)*(v\/((v*v**(2\/3)*v*v)\/v))\/v*(v**2)**(-3\/4)\/(v*v*((v\/v**0)\/v)\/v*v*v)**12 assuming v is positive.\nAnswer: v**(3037\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4603988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let k(d) = 4024*d. Calculate k(y(o)).\nAnswer: 4024*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 83. Let p(v) = 4*v**2 - 30*v - 70. Let z be p(-22). Suppose y*c - z = -0*c + 4*r, -4*r = c - 1233. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1430 + -1324. What is the biggest value in 3\/4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.43117 to one dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 7, -47, -99, -149, -197?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1832, -1417, -284, 1927, 5576, 11023?\nAnswer: 18628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -78, 793, -1 in descending order.\nAnswer: 793, 6, -1, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217569 divided by -3.\nAnswer: -72523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578 = -v + 1580 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11323989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 3*n, -h - 2*n + 10 = -4*n. Suppose -2 = -5*a + 3*a, -h*t - 4*a = -1312. Suppose 3*q + 0*o + o = t, 3*o + 99 = q. Round q to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142024 (base 8) in base 14?\nAnswer: 81b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8189.984 - -8190. Which is the third biggest value? (a) f (b) -19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:02 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/24 - y**5\/12 - 5*y**4\/4 + 55*y**2. Factor m(t).\nAnswer: 5*t*(t - 3)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 11*d**2 - 16*d + 128. What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 18*g**2 + 0 + 0*g + 0*g**3 + 1\/12*g**4. Let q(a) = 41*a. Determine q(o(f)).\nAnswer: 82*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v + 816888 = 25*v. Let j = v + -361704. Round j to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3337*d - 1103*d**3 + 3337*d.\nAnswer: -1103*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2613\/4 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6865 - 6861. Solve -r - 5*y + 1 = -i*y, 4 = 4*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29153, -95, 5, -1 in ascending order.\nAnswer: -95, -1, 5, 29153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 24. Let y be l(8). Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (-6*(sqrt(245) + sqrt(245) + -4))**2 + -1).\nAnswer: -20160*sqrt(5) + 179290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.06 + -7. Let k = -24 + 47\/2. Which is the biggest value? (a) j (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12*c + 11433*c**2 + 0*c - 2 - 11424*c**2. What is the tens digit of h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.5, -0.06, 10, 409?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**3 - 10*a**3 + (-2 - 1 + 2)*(3*a**3 - 3*a**3 + a**3) + (-2*a - a + 7*a)*(200*a + 196*a - 402*a)*(-2*a + 2*a - 3*a).\nAnswer: 62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 324337840 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491383464, 491383462, 491383460, 491383458, 491383456, 491383454?\nAnswer: 491383452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + x**3 + 79.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 - 93*i**2 - 229*i + 23. What is t(14)?\nAnswer: 8773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 20\/(-4) + 6. Which is smaller: 1\/109 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23276, -27473, -34468, -44261, -56852?\n\"Answer: -1399*f**2 - 21877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(363) + 2)**2 + -6*(0 + sqrt(363)) + 3 + (sqrt(300)*-1)**2*-2*6.\nAnswer: -3198 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 2) + -103 + 138 - (41 - 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let k(f) = 2*f**2 - 455*f - 1. What is k(w) + u(w)?\nAnswer: 2*w**2 - 455*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6*-2 + 4. Let z = -39.9 - -40. What is the closest to z in n, 5, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -4*c - 374, -5*c - 175 = -n. What is the highest common divisor of 78 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23844987 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-24)\/45)\/4)\/(160\/(-4120)) and 6\/(-21) + (-487)\/525.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 3, -0.3, -4, 0.12, 117, 7\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let w(p) = 2*p**4 - 2*p**3 - 2*p**2 + 6*p - 4. Let r(c) = 4*g(c) - w(c). Factor r(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24070 divided by 4?\nAnswer: 12035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 4. Determine i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*d - 18, 0 = u - 5*d + 9*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -43*v + 88*v + 26 - 52*v + 14. Let l be r(5). Suppose -b + 8862 = l*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-470)\/(-141)*(-93)\/(-2). Let u = d - 150. Put 4, u, -1 in descending order.\nAnswer: u, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(252) - (sqrt(252) + 0)) + 5))**2 - ((sqrt(252)*-2 + sqrt(252) - sqrt(252))*6*-5)**2.\nAnswer: -906575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2426 and -28\/3639?\nAnswer: 7278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1585, 2\/5, -67\/5, 2, 0.3.\nAnswer: -67\/5, -3\/8, 0.3, 2\/5, 2, 1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11333, 8, -4.\nAnswer: -4, 8, 11333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -27067?\nAnswer: 27053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuuduuduuujuuuuuuud. Give prob of picking 1 u and 1 j.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let g = 9 + -6. What is the biggest value in 2, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7739429311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*m - 6*m**5 + 37*m + 0*m**5 - m**5 + 2*m**5 + (-4*m + 0*m + 3*m)*(2*m**4 + 0*m**4 + 0*m**4).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 864 + -863.9. Let z = 0.2 + -0.4. Which is the nearest to f? (a) 0.3 (b) 0 (c) z (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.2 + 2. Let k = -3.7 - s. Is k <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39a96a - -2?\nAnswer: -39a968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-27\/4))**(-15\/7) assuming q is positive.\nAnswer: q**(405\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s + 32 - 374. What is the first derivative of 9*v - 6*v - 8 - 14*v - s*v wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/11)*t*t**5)**(-8)*(t**(-2))**(-45)*(t\/t**(-2))**7 assuming t is positive.\nAnswer: t**(645\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/3))\/(p\/((p\/(p\/p**(-2\/13)))\/p*p))*((p*p*p**(-9))\/p)\/(p\/(p*(p*p\/p**(-4\/7))\/p)) assuming p is positive.\nAnswer: p**(-1706\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12779676 divided by -38493.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**3\/3 + 19*n**2 + 9*n. What is the tens digit of a(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/17 + 20*h**3\/17 + 72*h**2\/17 + 112*h\/17 + 64\/17.\nAnswer: 2*(h + 2)**3*(h + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icmmb. What is prob of sequence im?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 27 = -3. Suppose -13*l = -4*l + 11*l. Solve -4*c + 10 + m = l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(5\/6))\/(g*g**(-2\/5)))**(-3\/38)*(g**(1\/4)\/(g\/g**(-4)*g))**35 assuming g is positive.\nAnswer: g**(-38231\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16 - 2*c**2 + 35*c**4 + 0 + 16 - 286*c wrt c.\nAnswer: 420*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -2699?\nAnswer: 107.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*w + 199*w + 0*w**3 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose 0 = j*v - 2*p + 7, 6 - 1 = 5*v + 5*p. What is the units digit of v\/(1\/(-5)) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9624 or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089437531?\nAnswer: 103, 1789, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8472722 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8)**(-2\/43) assuming h is positive.\nAnswer: h**(-16\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, 32, 78, 126?\n\"Answer: d**2 + 41*d - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*-1189.\nAnswer: 95120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 232781522 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 15*j**2 + 15*j - 196. Determine n(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 9. Which is smaller: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953 (base 10) in base 3?\nAnswer: 12102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*i - 20 = 0, 4*i - 11 - 1 = -3*h. Let x = h + -1. Let t = 3 - x. Solve 0 = -t*r - 2*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/8 + 2493*w**2\/8 - 3753*w\/4 = 0.\nAnswer: -834, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33386.493 + 34319. Let n = 932 - w. What is n rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10789 - -14004. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/((-7)\/1)*4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.92594385 to four decimal places.\nAnswer: 3.9259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048842 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*p + 1796*p - 132*p - 143598 for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7438721*y**6 - 3*y**2 - 99*y + 1988 wrt y?\nAnswer: 892646520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*a = -45900008, 0*m - 3*a = m + 15300012. Round m to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:11 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103.06 and -277220.\nAnswer: -277116.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/60 + b**4 + 65*b**3\/6 - 66*b**2. Let c be t(-28). What is the greatest common factor of 118 and c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46082291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85144 not equal to 85141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3041190 (base 10) to base 3\nAnswer: 12201111201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.195852 hours in milliseconds?\nAnswer: 4305067.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 474 or 475?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1900) + -5*(-1 + sqrt(1900)))*-3 + ((1 + sqrt(1900) - sqrt(1900)) + sqrt(1900) + sqrt(1900))*-5 + -3*(1 + sqrt(1900)) + sqrt(1900))**2.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -21. Suppose -3 - 17 = -5*s, 0 = -p*u - s + 1. Is u greater than 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.6538 grams in nanograms?\nAnswer: 438653800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let w = 62 - 54. Let a = w - 10. Let m be a + (4 - 4 - -4). Calculate p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187383 divided by 25?\nAnswer: 8187383\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -35230?\nAnswer: 35231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 2, y: 1, b: 1}. Give prob of picking 1 b, 1 m, and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741, -737, -733, -729?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z**2 + 8*z + 6. Let w be r(-5). Find the common denominator of (w\/15)\/(8\/10) and (113\/10)\/(2\/(-2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - 9) + 10 + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.547990253 + 21.548. What is t rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/3 + 7*v - 24 = 0 for v.\nAnswer: -24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.2914.\nAnswer: -1.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 5, i: 6}. What is prob of picking 1 v and 3 o?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 6*q - 4*q + 2*q to w*q + y and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 249724916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5580909l in millilitres?\nAnswer: 558.0909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3424 greater than or equal to -3437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -25. Suppose b*f = -4, -v - 2*v + 3*f + 6 = 0. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(((0 + sqrt(539))**2 - sqrt(539)) + (2*sqrt(33))\/sqrt(3)) + -3 + (((1*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(8) - sqrt(11)) + -3 + 1.\nAnswer: -16*sqrt(11) + 1611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 * -374223.6.\nAnswer: -38919254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43238, -43038, -42826, -42602, -42366?\nAnswer: -42118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149621962.\nAnswer: 2, 7, 29, 47, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*z**2 + 19*z**2 - 6*z**2 + (4*z + 0*z - 6*z)*(-3 + 3 + z) - 19*z**2 - 37*z**2 - 46*z**2 as r + d*z**2 + w*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2073757 is divided by 1351.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 - 74*x\/7 - 156\/7 = 0. What is x?\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 5*l = i - 25, 3*l = 3*i - 15. Suppose 10*h + 16*h - 52 = i. Solve 2\/3*w**h + 10\/3 - 4*w = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -93*y + 2. Let b(o) = -169*o**2. What is s(b(p))?\nAnswer: 15717*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, v: 1}. What is prob of picking 1 v and 3 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1158 - 1030. What is the highest common factor of g and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-385)\/44))\/(3*6\/270).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319590*x - 59752*x - 116861*x - 251426*x.\nAnswer: -747629*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134336, 134424, 134512, 134600, 134688, 134776?\n\"Answer: 88*i + 134248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = 0. Calculate the smallest common multiple of (-280)\/100*(2\/2 - 6) and (-1)\/(-3)*w + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from tltjlj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2. Let w(y) = 27*y + 3. Let x(r) = 134*r + 16. Let v(z) = 16*w(z) - 3*x(z). What is v(u(f))?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 201106664 and 0.1.\nAnswer: 201106664.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 19*j - 387103 = 17*j, -3*l + 387083 = -2*j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/1 + (-2)\/4*10. Let g = i + 41. Calculate the greatest common factor of 133 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 c when four letters picked without replacement from {r: 2, j: 5, t: 6, c: 3, u: 1, d: 3}?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*15*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.8. Let j = -0.6 + d. Let w = -0.3 - j. Which is the closest to w? (a) 3\/7 (b) -2\/17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429\/815 - -12\/163. Let x = 1034\/23 - 9059\/69. Let m = x + 87. What is the nearest to m in -2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144865 + -313\nAnswer: 144552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.59 in 2, -4\/5, 0.4, -2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*g + 23 - 65, -5*m = 10*g - 75 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592400 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2532245583 to the nearest integer?\nAnswer: 50321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 = -4*c + 4*n, 6*n = 2*c + 2*n - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5937 + -3231. Let k = m + -1729. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410512, -1410508, -1410504, -1410500, -1410496?\nAnswer: -1410492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36117, 144479, 325081, 577923?\nAnswer: 903005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.91*0.4055\nAnswer: 0.369005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 12) to base 3.\nAnswer: -20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*o - 74 = 94, -2*t - 5*o = -84. Suppose 3*b + 0*j = 3*j + t, 0 = -2*b + j + 28. Factor 5*s**3 - 3 - 11*s**2 + b*s**2 - 3*s - 2*s**3.\nAnswer: 3*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4160343\/2482)\/(-157) + (-3)\/(-17).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/9 - (-2)\/(-6). Let y(p) = -p + 5 + s*p - 4 + 2*p. Suppose -3*q = 3*a, 3*a = 4*q - 7 - 7. Calculate y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 3. Let y be w(6). Let x = -11 + y. Solve -4 = -5*l + 3*u, 0*l + 2*l + 3*u = x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2\/7, 0, 52, 4, -180\/17, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3905\/1932 + 10\/161. Let j be (374\/(-12) - 3) + -5 - 5. Let r = j + 811\/24. Calculate the common denominator of c and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = -h. Let b be 0 - (-3 - h)*1. Sort -4, 3, b in descending order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m + 3*m - 5*m - 12 + 23*m. Let x be d(6). Calculate the highest common divisor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcfc. Give prob of picking 1 c and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - z + 1183 = 0, 18*u - 20*u = -19*z + 219 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.294 + -0.29583. What is d rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1233 - -33034132?\nAnswer: 33032344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-280)\/72 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 5 - 12) + 13 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)*9\/(-18). Suppose 0 = -4*f + 1 + 43. Suppose x = 3*q - 4 - f. What is the least common multiple of 9 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziryrgzyhrhggzghgy. Give prob of sequence hi.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 502 = -734. Let r(b) = -7*b + 210. Let k be r(i). Solve n = -5*g + 10, 0 = 4*g - 0*g + n - k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 + 30011743?\nAnswer: 30011738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 1 + (-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -8, -0.4, -0.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9, a: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwwwwl. Give prob of sequence wlww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let a be ((-6)\/264*3)\/(8\/(-44)). Put -0.5, a, o in ascending order.\nAnswer: -0.5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 709\/6, 5, -5.\nAnswer: -5, 2, 5, 709\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 45*d**2 - 75*d - 35 = 0. What is d?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - 144\/(-210). Let v = -17 + 11. Let j = -6.4 - v. What is the closest to r in j, -3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -0.1, -846, -7 in increasing order.\nAnswer: -846, -7, -7\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9253 - -9257. Which is the biggest value? (a) -24 (b) z (c) -3 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(28\/(-8))*-1. Let m = t + 13. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12 - 30*z + 40*z + 2*z**2 - z**2. What is p(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 0 (c) 2\/23 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26823890263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 7*z**2 + 2426*z - 4788. Calculate v(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2 + 6. Suppose -n - 20 = -w*n. Solve 6*r - r = n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13 = 2*u, -u + 4*v + 1 = -7. Let m be u\/14 - (-880)\/154. Put 3, 0.5, 5\/2, m in decreasing order.\nAnswer: m, 3, 5\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 464 + 1580 = 0. Let x be -3 + (85551\/42 - -3). Let w = x + r. Calculate the common denominator of -20\/9 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71114 is divided by 11699.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220211212212201 (base 3) to base 2.\nAnswer: -110010010111111000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198023 - 8963 = 17983*p - 13873*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396102578.\nAnswer: 2, 3, 13, 1376827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 61 = -2*b - 11, -4 = -u. Factor -16*x + 17 - b - 2*x**2 - 8.\nAnswer: -2*(x + 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3) + (1 - 4). Suppose 0 = -9*f + 49 - 13. Suppose 3*k = 3*n + f*k + 6, 10 = 2*n - 4*k. Put 2, n, q in descending order.\nAnswer: 2, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17283616 divided by 4061.\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11113, 11087, 11071, 11071, 11093, 11143, 11227, 11351?\n\"Answer: o**3 - o**2 - 30*o + 11143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -26*z**3 + 6. Let v(y) = 46*y**3 - y - 10. Determine -7*q(c) - 4*v(c).\nAnswer: -2*c**3 + 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181 by -27071.\nAnswer: -181\/27071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*q + 660 = -251*q. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65+-2970\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 18905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*o - 6*o + 1 + 0*o)*(-2 - 5 - 4)*(o**3 + 4*o**3 - 3*o**3) as r*o**2 + q*o**3 + u*o**4 + f + x*o and give u.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:38 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:33 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69417264 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v - 2 + 3 + 2 - v**2 - 2. Let o be g(-6). List the prime factors of (o*117)\/(-2 + (-12)\/(-4)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) 3\/4 (c) 2\/7 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0*j**2 - j**2 + 3*j**2 + j**2 - 2*j**2 + (-4*j - j + 6*j)*(-4*j + 3*j + 2*j) + 86*j**2 - 43*j**2 + 61*j**2.\nAnswer: 105*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*12326\nAnswer: -24652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -59\/2, -5, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -8. Calculate the lowest common multiple of ((-3)\/6)\/((3 + -8)\/20) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3)*4)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22\/45 - -8\/9. Sort -5, 0, a in decreasing order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236*j**4 + 2*j**3*o - j**2 + j*o + 12421*o wrt j.\nAnswer: -944*j**3 + 6*j**2*o - 2*j + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 196 = -2*f - v, -f + 5*v = -60. Let m = 80 - f. Suppose -4*k + m*w = -632, -k + 180 = 5*w + 47. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*p - 12 = 8, 4*l - 40 = -p. Suppose -6*x + l + 8 = 0. Solve -u - 18 = x*v, -4*v + 0*u = 3*u + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 10*n + 18. Let q = -7 - -17. Let k be (-18)\/45 + 84\/q. Let d be i(k). Solve -6*j + 4 = -d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000102452 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 778880880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/(-119))\/(1326\/(-819))?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21c9c (base 13) to base 16\nAnswer: -f024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2*k + 3*r - 8, -2*k + 4*r = -8. Put k, 1, -2, 3 in decreasing order.\nAnswer: 3, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 49, 53, 59, 67, 77?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/1394302 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501474.256 rounded to the nearest one hundred?\nAnswer: 501500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -2 - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 21*l**2 + 8*l + 6. Let r(n) = -n**2 + n + 1. Calculate -6*r(w) + z(w).\nAnswer: w**3 - 15*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 29. Let x be y(12). Let v = x - -4. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c - 8. Let h(f) = -f - 3. Let g(o) = -3*h(o) + q(o). Give g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2508 = 26*q - 4*q. Suppose 2*r + q = -p, 3*r = p - r + 144. Sort p, 3, -4.\nAnswer: p, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**6\/27 - 4*a**5\/15 + a**4\/18 + 16*a**3\/9 - 20*a**2\/9 + 721. Let s(t) = 0. What is t?\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let w(k) = 2*k - 3. Let b be (-2)\/(1*1\/(-3)). Let z be (1 + (-1)\/3)*(18 + -12). Suppose l + l = -z. Determine b*h(q) + l*w(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 1}. Give prob of picking 3 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43*57\/228*((-98)\/147)\/((-1)\/12).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + v - 17 + 18, 5*z + 4*v + 9 = 0. Suppose 0 = -3*q - 0*q + 24. Let p = q + z. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - k - 3 = -14*l, 5*l = 5*k - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*m**3 - 32258\/3*m + 508\/3*m**2 + 0.\nAnswer: -2*m*(m - 127)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5719 or -5718?\nAnswer: -5718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117673, -235327, -352981, -470635?\n\"Answer: -117654*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 3*m)*(384*m**2 + 236*m**2 - 223*m**2).\nAnswer: -794*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-32))**(-17)*(g\/(g**(-4)*g))**(-40))**(-1\/4) assuming g is positive.\nAnswer: g**(-367\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.00541 and 0.5.\nAnswer: 10.002705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53930, 54157, 54384?\n\"Answer: 227*z + 53703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 2*b**2 + 2*b + 10. Let w be l(3). Let s(u) = -2*u**2 - 3*u - 3. Let k(t) = -18*t**2 - 26*t - 26. Calculate w*s(j) - 6*k(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 6*o + 65 - 194 + 86)*(1 + 7 + 12).\nAnswer: -120*o + 680","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 13, 11 in decreasing order.\nAnswer: 13, 11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**4\/2 + 27*y**3 + 41*y**2\/2 + 42*y + 83. Let t be j(-40). Solve 3*v = i - 7, -t*i - 3 = v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15985340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 20. Let s(q) = q**3 + 8*q**2 - 10*q - 8. Let n be s(r). What is the derivative of 0*m - n + 4*m - 2 - 1 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 281408*w\/5 + 281413.\nAnswer: -(w - 281413)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -462544 - 41?\nAnswer: -462615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v**3 - 11513*v**2 - 72699*v - 61200 = 0. Calculate v.\nAnswer: -816, -75\/14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y**2 - 6*y + 23. Let k(s) = -5*s**2 - 2*s + 8. Let r = 18 + -24. Determine r*v(j) + 17*k(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/10 - 4691*t\/10 - 13688.\nAnswer: (t - 4720)*(t + 29)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 43.1. Let r = -1.6 + h. Which is the closest to -2? (a) -5 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/51 - 28*o**5\/85 - 35*o**4\/34 - 44*o**3\/51 + 178. Determine h, given that a(h) = 0.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216443?\nAnswer: 43, 131, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 25 - s - 44 + 11 + 0*s. Suppose y = -3*b - 3*y + 5, -3*y = -15. Give r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjjvjvj. Give prob of sequence vvv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(1573) + sqrt(1573) + 1)**2 - ((sqrt(143) + (6*(2*sqrt(143) + sqrt(143) - sqrt(143)) - sqrt(143)))\/(sqrt(110)\/sqrt(40)))**2.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*a**5 - 1004*a**5 - 453*a**2 - a + 416*a**5 wrt a?\nAnswer: -39360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.487628 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhhjjbjjjjjhjjhh. What is prob of sequence hjb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -887, -1785, -2681, -3575, -4467, -5357?\n\"Answer: i**2 - 901*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222 + 111111?\nAnswer: 211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, 180193, 4\/3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l. Let b be j(2). Suppose -2*c = 46 - b. What is the third derivative of -4*t**4 + 14*t**4 + 12*t**2 - 24*t**2 - 13*t**c wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443627\/7 + 63375. Let r = -1.14 - -1. Let q = -0.1 - r. What is the closest to 0 in -4, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 - 3*n**3 - n**2 + 1 + 0*n**2 + 12*n**3 - 5*n**3 - 1458*n in the form b + x*n**2 + v*n**3 + i*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let k(q) = -11*q**3 - 5*q**2 - 16*q - 16. Let g(p) = -5*p**3 - 3*p**2 - 8*p - 8. Let z(l) = 9*g(l) - 4*k(l). Give z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*d - 28 = 3*m + m, 13869*m - 49 = 13876*m + 3*d for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q + 15 = 0, 0 = -4*d + q - 7041. Let y = -407 - d. Let l = -14941\/11 + y. Calculate the common denominator of 19\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9800267 or -9800278?\nAnswer: -9800278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + -5 + (-2*(2 + -2 + sqrt(8)\/sqrt(4)))**2)*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*z - 88, -7*z = 4*h - 4*z + 89. Let b = h - -25. Calculate the remainder when 16 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1633 or 1750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/8 - f**3\/2 + 3*f**2\/2 + 3*f. Let q(v) be the first derivative of i(v). Differentiate q(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.008995 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5026 + -5018. Solve -v = -g - 9, 4*y = -g + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-9)*4\/(-684)*3\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110463 - -27?\nAnswer: 110512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*c**2 - 377*c**2 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 - 59742*a**2 + 461422*a - 6.\nAnswer: 12*a - 119484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 103, 186, 307, 478, 711, 1018, 1411?\nAnswer: 1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 105*x + 7. Let s(c) = -c**2 + 53*c + 3. What is -2*o(w) + 5*s(w)?\nAnswer: -w**2 + 55*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 39114780.\nAnswer: 430262580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = -6. Let a(m) = -6*m + 3*m + m - k + m. Let i(z) = -2*z - 2. Calculate 3*a(q) - 2*i(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7393bf (base 16) to base 15.\nAnswer: 9e9443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13.5. What is the nearest to -2 in -5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 1 (c) -180373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = l - 3, 4*m - 2*m + 12 = 5*l. Suppose 0 = -2*z + 5*c + 22 + 312, -306 = -2*z - l*c. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = 5. Put f, 6, -1, -3 in descending order.\nAnswer: 6, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 2606?\nAnswer: 2606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 15*r**2 + 15*r - 10. Let p be z(14). Factor 6*b - 45*b**2 + p - 175\/2*b**3.\nAnswer: -(5*b + 2)**2*(7*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -98. Let s = 68 + t. Let p = -66.00000025 + s. Round p to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 3. Let w be h(5). Let r be (0\/w - 0) + 1. Suppose 34 = 10*p - 6. Put -1, r, p in descending order.\nAnswer: p, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7244 + 6348. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4\/30*29?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-48.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(-9)*y)\/y))\/y)**(14\/13)\/(y**4\/(((y\/(y\/y**(-8)))\/y)\/y)) assuming y is positive.\nAnswer: y**(-322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*y - 6 = -975*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3856 divided by -16\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 10. Let z be r(5). Let x = z + 0. Suppose 2*u - 466435 = -4*y + 613559, -x*u + 1349985 = 5*y. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**2 - 13*g - 42. Let q be z(-6). Let k = 968 + q. List the prime factors of k.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from uddpiiddui.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**6)**(17\/4) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/133? (a) -2\/17 (b) 0.06 (c) 0.0139 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 20*s**2 + 30*s - 121. Let f be x(24). Let j be 14\/(-2) + f\/(-217). Sort -5, j, 0.3 in descending order.\nAnswer: j, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:57 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256668258 divided by -99561.\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 - 2. Let q be n(0). Suppose q = -f + 11 + 2. Calculate the greatest common factor of 104 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*p + 17. Let k(g) = -g**2 + 10*g - 6. Let a(s) = -s**2 + 9*s - 4. Let c(o) = 7*a(o) - 6*k(o). Let n be c(5). Sort p, -3, n, 1 in ascending order.\nAnswer: -3, n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let y(o) = 432*o + 913*o + 392*o. Give x(y(r)).\nAnswer: -3474*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -164 + 140. What is s in -12*s**3 + y*s**2 + 6 + 76*s + 49 - 31 = 0?\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*d - 2. Suppose 4*l - d = l - 2*f, -8 = l - 4*f. Solve s + 17 = 5*h - 2*s, 8 = h + l*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -36841.\nAnswer: -36835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 7737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -17. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285 - -72. Let l = -66 - n. What is the highest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blllbbblllbbbbllllb. What is prob of sequence bbl?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + 3*d + 11*d + d)*(6*d**2 + 82*d - 82*d).\nAnswer: 156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -10 + -5 - (-9 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11565, 11559, 11551, 11541?\nAnswer: 11529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 + 3*c - 9. Let j be k(-4). Let d = 31 - j. Solve -d*t = w + 6, -4*w + 2 + 14 = -4*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630420 is divided by 2040?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 - -4.8. Let v = -2\/17 - 11\/51. Let f = 120 + -115. Which is the closest to v? (a) f (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -20\/11 (b) 1\/7 (c) -0.4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(2*sqrt(11)))**2 + (0 + sqrt(343))**2.\nAnswer: 1379\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1668*n**2*x - n*x + 251*n wrt n.\nAnswer: -3336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**2 + 591*k**2 + 328*k**2.\nAnswer: 878*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0399 times -1?\nAnswer: 4.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 + 679*d**4 - 8*d**2 + 2*d - 189 wrt d.\nAnswer: -60*d**2 + 16296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 472*y**2 + 6*y - 24. Let x(i) = 11*i**3 + 943*i**2 - 13*i + 52. Determine 13*n(g) + 6*x(g).\nAnswer: g**3 - 478*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445075202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let o(z) = 3*z**2 - 3*z - 1. Let m(y) = -o(y) + 4*p(y). Let h be m(-3). Let w be 40\/4 + h + 1. Solve n = 4, -5 = -3*u - 2*n + w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/52)\/((-52)\/(-8736)). Which is greater: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + (-4 - -4))*(-7628)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2*i**2 + 2*i - 1. Suppose 40 = 4*f - 3*j, 0*f + 3*f = 4*j + 30. Suppose -7*a + f = -2*a. Give t(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -8 (c) 1\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cb + -15?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 33288*u**2 + 266*u - 266. Let q(w) = -374*w**2 - 3*w + 3. What is -3*k(y) - 266*q(y)?\nAnswer: -380*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let x(v) = -5 - 25*v + 5. Let o = -11 + 14. Let u(m) = 3*m. Let y(t) = o*x(t) + 24*u(t). What is y(w(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v - 1 - 3 = 0, 0 = -3*w + 3*v - 6. Let r be 3*(w - 116\/12). Let f = -26 - r. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:43 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 4. Let v(r) = -r. Let x be v(q). Sort -1, x, 3 in descending order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3404? (a) -2\/3 (b) -0.0254 (c) -48 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211307 - 2*i**2 + 2*i**2 + 211354 + 12*i**3 to the form o + m*i + v*i**3 + c*i**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26945\/198 + 1232\/9. Calculate the common denominator of p and 27\/2915.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*c - 8 + 1 = 0, -3*c + 8 = 2*a. Let v = 789 - 737. Sort v, a, -2.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604717, -1209378, -1814039, -2418700, -3023361, -3628022?\nAnswer: -4232683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2508 - -4391. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from yrgts?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -644795, -5, 1\/6.\nAnswer: -644795, -5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*p + 138, 2*p - 341 = -5*w + 6*p. Calculate the remainder when w is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*19.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -0.2. Let t = 2 - k. Let o = t + -3.0009. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g = -10. Suppose -5*o = 3*n + 107, -2*n + 7 = -g*o - 23. Which is smaller: o or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.909 - 0.091. Which is the third smallest value? (a) 7\/4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198142261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/6*v**4 + 0 + 0*v**2 - 77*v - 4\/3*v**3. Suppose z(i) = 0. What is i?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35464, 71009, 106554, 142099, 177644?\nAnswer: 213189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62053 divided by -14\nAnswer: -62053\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 8*z + 140. Suppose -5*p - 4*h + z = 0, -3*h = p - 0*h - 10. Suppose -3*w - 6 = 0, -2*w + 12 = -p*k + 40. Is k less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82671427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 28. Calculate the common denominator of (u\/2)\/((-165)\/(-70)) and -26\/7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 50 = 4*b, 5*m = -2*b + 46 + 20. Let n(y) = 120*y + 181. Let w be n(8). Suppose 22*a - 3913 = -w. Calculate the highest common divisor of m and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*w**2 + 996*w + 1352*w - 2348*w.\nAnswer: -367*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 3*r - 2*v - 36, -r = -3*v + 9. Is r at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + sqrt(13)*-1 - (sqrt(39)\/sqrt(3) + 4))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let h(t) = -t + 8. Give h(p) - 3*y(p).\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*m - 6, -3 = 5*j + 4*m + 23. Let l be j - 0 - -17*1. Suppose 0*w + 5*w = -l, 0 = 3*b - 2*w - 12. Solve -b*u = -3*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41191604.00081 - 41191414. Let x = z - 190. Round x to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 42*b + 14. What is the hundreds digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 610 = 5*v, 3*u - 381 = -5*v + 9. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -60, 0.22, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 15876 = -2*o + 23*o. Calculate the least common multiple of 126 and o.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 3, t: 1, r: 1, j: 5, z: 1}. What is prob of sequence jj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*b**2 - 424*b**2 - 1049*b + 244*b wrt b.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -82661*c**2 + 653*c + 3*c**3 + 83264*c**2 - 53*c = 0. Calculate c.\nAnswer: -200, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (5 - (-9 - 0) - 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13948144 take away 1.8099?\nAnswer: 13948142.1901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 53\/1663396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111101001 + -100?\nAnswer: 111111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cf - 1?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -0.026?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 472441*0.4\nAnswer: 188976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - -15) + -5 + (0 - 30)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 55*v - 25)*(2*v**3 - v**3 - 11*v + 7*v + (4*v**2 - 3*v**2 + v**2)*(0*v + 2*v - 3*v))*(-2 - 1 + 5).\nAnswer: -110*v**4 - 440*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -333 + 4212. Suppose -71 = 9*l - u. Calculate the remainder when 123 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*n + 68*n**5 + 32250 - 32231 - 1081*n**5 wrt n?\nAnswer: -20260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2778, -1893, -1010, -129, 750, 1627?\n\"Answer: -w**2 + 888*w - 3665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -3*r - 2*a + 271, -4*a + 4 = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8645 is divided by 2354.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/4 + 0)*-2. Let v be (49\/(-70) + 41\/205)\/(2\/(-12)). Calculate the highest common factor of v and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7842364ml in litres?\nAnswer: 0.0007842364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19098793997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*d - 204*d + 374*d to j + f*d and give f.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55330.\nAnswer: 2, 5, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k = -371*k + 14544 - 1584 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519938.\nAnswer: 2, 23, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 15*o**2 + 4*o + 48. Let r be h(-15). Does 11 divide (-1305)\/(-116) - (9\/r)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60242 at least as big as 60248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 176\/16 + -2 - (4 - 1). Let b(u) = 2*u**3 - 3*u**2 + 6*u + 6. Let r = -2 + 3. Let x(t) = -t - 2 + 3 - 2. Give f*x(w) + r*b(w).\nAnswer: 2*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b**2 - 193*b**2 + 63*b**2 + 62*b**2 + 0*b + 0*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 983*v + 8251. What is s(-8)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 5, -3, -19\/8, 14 in descending order.\nAnswer: 14, 5, 0, -2, -19\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/7 - 55854*c**3\/7 - 25803072*c**2\/7 + 7396242*c - 25914771\/7 = 0.\nAnswer: -453, 1, 19069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 221 = -b. Calculate the remainder when b is divided by 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 420*g + 5026. Give n(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9303311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/4692 and 13\/108.\nAnswer: 42228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -2*b**5\/15 + b**3\/3 - 5*b**2. What is the first derivative of z(f) wrt f?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1195.86396099356?\nAnswer: -1195.66396099356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-8) - -8 - 11*-1. Find the first derivative of 74*h - 12 - u*h - 56 + 71*h wrt h.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 81 = -0*f. Let m(i) = 72*i + 4832. Calculate the lowest common multiple of f and m(-67).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m - 3. Suppose -4*d = 3 + 9. Let u be b(d). Let o be 1\/(-3) + 8\/u. What is the closest to 1\/2 in -5, o, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101110001001011011 + 1100?\nAnswer: -11111101110001001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 323\/4. Let u = i - 52. Let d(a) = -a + 4. Let p be d(1). Solve 0 = 2*k + 3*l - 3, p*k + u = 3*l + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + (0 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 5*i + 4*i)*(140*i - 140*i - 46*i**4) + 17*i**5 - 5*i**5 + 3*i**5 + (-5*i**2 + 2*i**2 + 4*i**2)*(4*i**3 + 6*i - 6*i).\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127.28 - -133.427. What is u rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, 22 in descending order.\nAnswer: 22, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -113, 316, 1015, 1972, 3175?\n\"Answer: -2*j**3 + 147*j**2 + 2*j - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01782 + 2026.01782. Let p = -1835.4 + s. Let z = -172 + p. Round z to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 5*g - 5. Let o be b(5). Let w(s) = -s**3 + 3*s**2 + 5*s + 1. Let x be w(4). Let l = x + o. Solve p - 4 = -l*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 559, 1052, 1477, 1834, 2123?\n\"Answer: -34*x**2 + 595*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 6:02 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 7*q**2 - 6*q**2 + (88 + 7*q - 88)*((-311 - 70*q + 311)*(3 - 4 + 3) - 2 - q + q + q) in the form t + d*q + z*q**2 and give z.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3*6\/(-1881))\/(20\/(-1540)*7)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/231517048 and -9\/45476563.\nAnswer: 2546687528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {u: 4, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2\/21*v**4 + 0 - 94\/7*v**2 - 150\/7*v - 38\/21*v**3 = 0.\nAnswer: -3, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d, -2*d = 3*s + 13 + 11. Let b = -1239 - -12477\/10. Find the common denominator of (1\/s)\/(2\/(-194)) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 3500*h**2 - 105435*h + 196830.\nAnswer: 5*(h - 27)*(h - 2)*(h + 729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 + 375. Find the common denominator of ((-4)\/10)\/((-9)\/u) and -5*(1 + 32\/(-22)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1 - 0)\/(-12 + 10). What are the prime factors of k*1\/(-5)*-1 + 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 - 41*d**2 + 18*d + 59. What is m(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**9\/257040 + k**8\/171360 - k**7\/42840 + k**5\/10 - 16*k**2. Let q(c) be the third derivative of j(c). Factor q(i).\nAnswer: 2*i*(i + 1)*(2*i - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k + 0*k - 2*k + k + 3*k + (-1 + 0 - 1)*(2*k - 2*k - 2*k))*(-5 + 0 + 0).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v. Let q(y) = -8*y. Let c(r) = 6*g(r) - 5*q(r). Let b(f) = -95*f. Calculate b(c(x)).\nAnswer: 190*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 499824 and 1584?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/((-2)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 173280 divided by -456\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 + 3*g**2 - 2*g + 4. Let h(c) = -6*c**3 + 4*c**2 - 3*c + 5. Let v(x) = 4*h(x) - 5*n(x). Factor v(z).\nAnswer: z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-612)*3\/((-12)\/(-32))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7372 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288897.\nAnswer: 3, 7, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 + y**2 + 17*y**4 + 2*y - 19*y**4 - 4*y + 2 as t*y + g*y**2 + i*y**4 + l + c*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -29*-2*3\/(-1278). Let u = s - 19093\/2130. What is the common denominator of -73\/12 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339745999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/5 + 83*r\/5 + 234 = 0.\nAnswer: -65, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(9)\/sqrt(3) - sqrt(3)) - (1 + sqrt(27) - sqrt(3)).\nAnswer: -5 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188171?\nAnswer: 188171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2143283841 to the nearest one hundred thousand.\nAnswer: 2143300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) 0.1 (b) 4\/3 (c) 1438\/13 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 5*a. Let g be (-1)\/3 + 356\/a. Let q = g - -9. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 + 5*z - 6. Let i be m(-6). Suppose i*g - 4*o - 60 = -3*g, -41 = -2*g + 3*o. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210012 + 123133?\nAnswer: -31324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 8*u.\nAnswer: 4*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**2 - 27*f - 31. Is s(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/4 + 7*i**3\/2 - 12*i**2 - 6*i + 9. Suppose c(x) = 0. What is x?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3404496 and 313572?\nAnswer: 23831472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1*(-144)\/126.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132772*z**3 + 3*z**2 + 35611*z wrt z?\nAnswer: -796632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50811 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -14. Suppose 2*j - 5*j = -9. Let p(c) = -6*c + 25. What is the lowest common multiple of p(j) and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -350. Let q = -1822\/11 + g. What is the common denominator of 8 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*j + 3)*(2*j**2 - 5*j**2 - 2*j**2)*(0*j**2 - 3*j**2 + 12*j**2).\nAnswer: 270*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 48282?\nAnswer: -48276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2132, 4\/5, 4, 2\/3 in increasing order.\nAnswer: 2\/3, 4\/5, 4, 2132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10*a + 5. Let d be g(9). Let o = d - -8. Suppose -o*u + 15 = -u. Solve -4*v = v - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055 times 0.6?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 + -5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3))**(4\/3))**(-10)*(f**4\/(f*f**(-10)))**(-1\/33) assuming f is positive.\nAnswer: f**(-479\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g - g**3 - 5*g + 0*g + 10*g**2 - 8 - 4. Does 38 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -924*f**3*z**3 + f**3*z + 22990*f**3 + 11*f**2*z**2 + 8*f**2 + 80*f*z + 2*z**3 - 47*z wrt f.\nAnswer: -5544*z**3 + 6*z + 137940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -10468.143 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 - 6.1. Which is the third smallest value? (a) -4\/3 (b) -2 (c) k (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678170.\nAnswer: 2, 5, 73, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 (base 11) in base 14?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9723 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 540. Let j(v) = -32*v + 1080. What is 13*i(g) - 6*j(g)?\nAnswer: -3*g + 540","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.706?\nAnswer: 0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -19 - 49. What is the remainder when 65 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*y + 72. Let a be 3\/4*y\/(-33). Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 11790906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31938756 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10059.572544 rounded to the nearest 10?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 647778 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q - 123435457 - 23111780 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - v + 3. Suppose -6*w - 15*w = -21. Let u(a) = -a**2. What is w*d(i) + 6*u(i)?\nAnswer: i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038205 rounded to 5 dps?\nAnswer: 0.00382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 12 = 7*i, 23*q = -3*i + 97 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-2))))**45)**(-1)\/(((s*s**(1\/3))\/s)**(-2\/25)\/(s**(-1\/2)*s*s)**(2\/5)) assuming s is positive.\nAnswer: s**(3422\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-1 - -3)*(-132)\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123402 (base 6) to base 7\nAnswer: -44354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 285, 439, 597, 759, 925?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116871 by -1869.\nAnswer: -38957\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*v**5 + 4*v + 2 wrt v.\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r + 2*r - r)*(-4 + 2*r + 4) + 10*r**2 - 52*r - 17*r**2 + 48*r + 2.\nAnswer: 23*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 - 7*r - 135. Let a(g) = -6*g**2 - 7*g - 138. Let h(c) = -6*a(c) + 7*m(c). Calculate the least common multiple of -30*2\/(-4 - 0) and h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**17*s)*s**(1\/4))\/(s\/((s**(-5\/3)*s*s*s)\/s))**(-23\/2) assuming s is positive.\nAnswer: s**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3. Let v be y(0). Suppose -2*r = v*r - 50. Suppose r = -0*k + 2*k. Solve -k*j - 3*u = 19, 2*j + 0*j + 4*u + 16 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-2 - 1)) + 1. Solve 0 = -c*i - 7 + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 11171a45?\nAnswer: 11171a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 222 = 25. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/(600\/120)*30\/(-130)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*d**4 - 854514*d**2 - 41381026?\nAnswer: 152*d**3 - 1709028*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a - 920 = -276*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (13 - (18 + (19 - 31)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 217 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {e: 3, b: 1, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 30. Calculate m(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574*c + 207 + 157 = -1358. Factor -2\/3*z**4 + 8\/3*z - 8\/3 - 4\/3*z**c + 2*z**2.\nAnswer: -2*(z - 1)**2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -421 - 92 - 5 - 3*g + 2480 - 222 in the form x*g + j and give j.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -362, -320, -262, -188, -98?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5 - 7 + 6 - 2*x - 2*x. Let c be g(6). Let l(t) = t + 12. Let z be l(c). What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -394*h + 389*h - 48*s, -4*h + 6*h - 5*s - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 5077*c + 2541*c + 2*c**4 + 2539*c + 40 to the form x*c**3 + r*c**2 + b*c + t*c**4 + d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - q**2 + 0 + 2*q**2)*(2*q**2 - 1 + 1).\nAnswer: 2*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 20*t - 46. Determine y(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p**3 - 4*p**2 + p + 5. Let u be v(-3). Let d = -232 + u. List the prime factors of d\/8 - (-1)\/(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*95780\nAnswer: 28734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**2 - 1. Give s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 102 - 36)*(-x + x + x**2 + (-3*x - 4*x + 5*x)*(2 - x - 2) + x**2 + 0*x**2 + x**2) as v*x + l + w*x**2 and give w.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 130 = -5*g, 0*r - g = -5*r + 138. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. What is the biggest value in 2\/5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/(4\/(-10)). Suppose -3 - 1 = -g*i. Find the common denominator of 6*i*3\/(-32) and -19\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -86, -113, -134, -149?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1 - 6*b - 7 + 11*b**2 + 12 + 26. Is a(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.56 and 42.5?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 2*s - 2. Let p(h) = h**2. Let z(j) = -j**3 + 14*j**2 + 15*j + 1. Let b be z(15). Determine b*l(w) - 5*p(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/4 - a**2\/2 + 4. Let z be o(-1). Let l be 3 + -1 + z + 0. Solve -s - l*s = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15957900 rounded to the nearest ten thousand?\nAnswer: -15960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -99078 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 2*l + 4. Let t be d(-3). Solve -2*b - 2*g = -2, 3*b - 3*g + 2 = -t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z - 9. Let l be k(-4). What is the remainder when l + (54\/24)\/((-1)\/(-12)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -158873?\nAnswer: -158871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/840 and -59\/40080.\nAnswer: 280560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 50*o**6 - 188*o**5 + 152*o**4 + 96*o**3 - 160*o**2 + 64*o - 701. Determine c so that j(c) = 0.\nAnswer: -2\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(1\/(-2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**4 + 122*m**3 + 798*m**2 + 1470*m - 1372.\nAnswer: 2*(m + 7)**3*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -221 + 218. Let b(c) = -22*c**3 - 4*c**2 - 4*c - 5. What is the tens digit of b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*t + 494*t + 25238 = -68*t - 75742 for t.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 10 + (4\/8)\/(2\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4.43.\nAnswer: -1.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33049 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307.919 centuries in decades?\nAnswer: 23079.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 307*d - 23207. Calculate x(-133).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3.7 (b) 1 (c) 3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/(-3250)*-13*10*(-6)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(308\/(-231)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 47, 56, 5, 0, -4 in increasing order.\nAnswer: -4, 0, 4, 5, 47, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1158 - -1159. Calculate the highest common divisor of h and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 125, -1, 1, -746.67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 609*b**2 + 185*b**2 - 1 + 1 - 795*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693387, 2774377, 6242693, 11098335, 17341303?\nAnswer: 24971597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (72\/(-432))\/(20\/801) and 81\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 2*((-3*sqrt(700)*-2)**2 + 1*(2 + sqrt(700))**2)*4).\nAnswer: -414460 - 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 5*z - 1. Let v(l) = 4*l**3 + l**2 - 9*l + 1. Calculate 3*v(o) + 5*x(o).\nAnswer: 2*o**3 + 3*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 13 + (-2076)\/173.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67205 is divided by 7466?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 2*u**3 + 68 - 323 - u**3.\nAnswer: -3*u**3 - u**2 - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/13 - 470*c**4\/13 + 22632*c**3\/13 = 0.\nAnswer: -276, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*o = 2, -u + 2*o + 17 = 7*o. Suppose -d - 2*x + 11 = u*x, d - 4 = 3*x. Suppose d*g - 635 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4641*p**3 - 28 - 12 + 14259*p**3 + 40.\nAnswer: 9618*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13919667 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 365, -1, 1, -2\/7 in ascending order.\nAnswer: -1, -2\/7, 1, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 9. Suppose -5*p = -n - 25, -5*p + 8 + 12 = 0. Let v be r(n). Let j = v - 25. Is j greater than or equal to -3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 - 2*n**2 + 1027 - 518.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1 + 3*c - 2*c**2 + c - 3*c + c**2. Let u(a) = a**2 - 3*a. Let g(n) = 3*i(n) + u(n). Find the first derivative of g(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -653*y - 18. Let x(t) = -3266*t - 100. Determine 11*b(m) - 2*x(m).\nAnswer: -651*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/7 + 5483*f**4 + 1075427*f**3\/7 + 960279*f**2\/7 - 296298*f = 0.\nAnswer: -27, -2, 0, 1, 38409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 2\/23, -1, 0.5, 3.198, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1066591 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:35 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 25 = 5*z - 2*z, -5*o = 4*z + 5. Suppose -h + z*f = -2, 5*f = -h + 2*f + 2. Suppose 15 - 7 = -h*x. Put 5, 4, x in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -391 and -390 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266 + 115?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1683*y + 3. Let z(m) = m**2. What is z(f(h))?\nAnswer: 2832489*h**2 + 10098*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*b**3 + 1096*b**3 - 550*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**4 + 0*f**4 + 0*f**4 + (4*f**4 - 2*f**4 - 3*f**4)*(7 - 2 - 2) - 2*f**4 + 3*f**2 - 3*f**2 as l*f**2 + b*f + s*f**4 + n + i*f**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0203 plus -20090821995.3?\nAnswer: -20090821995.3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113)\/(6328\/(-336)))\/(2 + (-14)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114800517?\nAnswer: 3, 13, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 1:28 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 5 + 1 = l*v. Solve 3*u + v = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 3 - 8*d**2 - 5 + d**2 + 3*d**2.\nAnswer: 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1140 + -642. What are the prime factors of 14\/(-91) - m\/(-26)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 4. Suppose 7*u = h*u - 1440. Let i = -174 - u. Calculate the remainder when i is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by -4\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399090.9 centuries in decades?\nAnswer: 3990909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeieeieieeieiiei. Give prob of sequence eeii.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1342 + 1343.0928. Let s = m - 1.1. Let y = 0 + s. What is y rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 73*m + 1746. Let g be u(48). Calculate the greatest common divisor of g and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 357.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35775512, -71551019, -107326514, -143101991, -178877444, -214652867, -250428254?\nAnswer: -286203599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 + 7 - (-27 - -29)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, -11, 2 in increasing order.\nAnswer: -11, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28112 = -c - 28136, -23 = 2*c - 3*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**3 - 30*v**2 + 45*v + 70 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:51 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 233131 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 220*g + 372. Calculate p(75).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20644807 is divided by 916?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 36. Let b be -3*(f\/9 + -4). Solve 0*z = -4*z - 2*k - 14, b*z + 4*k = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.227, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**2 + 28*x**2 - 55*x**3 - 14*x**2 + (-2 + 6 - 3)*(2*x**3 + 2*x**3 - 2*x**3) + x**3 - 2*x**3 + 0*x**3.\nAnswer: -54*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -4*u + 360. What is the remainder when 69 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/6 + p**2\/2 + 2*p. Let q be u(-2). Factor 8*h - q*h - 2 + 4*h**2 + 3.\nAnswer: (h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40755376 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and 97\/42332.\nAnswer: 253992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*(-3 + sqrt(1300)) + sqrt(1300) + ((sqrt(1300) + 5)*1 - sqrt(1300)))*-3)**2.\nAnswer: -8640*sqrt(13) + 562032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 561, 560?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45665 divided by 5?\nAnswer: 9133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19 + 12*n**3 + 7*n**2 - 5*n**4 + 9*n**2 - 48*n + 6 - 9.\nAnswer: -(n - 2)**2*(n + 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.058315 months to millennia.\nAnswer: 0.00117152625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 265430801, 265430803, 265430805, 265430807?\n\"Answer: 2*p + 265430799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.768 and 4.\nAnswer: 4.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -6, -1890 in descending order.\nAnswer: 5, 0, -6, -1890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 4*u**3 + u**3)*((-2*u + 0*u + 4*u)*(1 + 1 - 3) + u - 2 + 2) + 2*u**4 + 7*u**4 + 17*u**4.\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 9 = w + 2*z + 6, 4*w + 5*z - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8917 and 30125.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.128, 7\/127, 3, -1\/9, 2?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) 0.3 (d) 781\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:33 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2 (c) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42495 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2289138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -56636.\nAnswer: -9\/56636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*l - 14131 - 6645 = -86*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 5. Let a be s(-4). Suppose -4*v - 22 = -3*d, a*v = -3*d + 3*v + 62. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 10. Let b(j) = 2*j**2 + 6*j + 9. Let s be b(-4). Suppose 37 = 5*f - u + 11, 2*u + s = 3*f. What is the units digit of m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 61*x - 109. Let m be i(-8). What is the highest common factor of m and 4141?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979220.\nAnswer: 2, 5, 11, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywyuwuwuwu. Give prob of picking 2 u and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdzhhrrwhlrrwzlzdl. What is prob of sequence rhd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3713577 divided by -2931\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/42*77\/99?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 7763?\nAnswer: 3881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, -3, 0.2, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n - n)*(-n - 3*n**2 + n**4 + n**2 - 4*n**4).\nAnswer: 9*n**5 + 6*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (275852\/6)\/2 - (-37)\/(333\/(-6))?\nAnswer: 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -12567724.\nAnswer: -1\/3141931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330268 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-4)\/(1 - -1)). Suppose 5*r + 14 - 34 = c. What is the second derivative of -3*k**r + k**4 + 0*k - 2*k wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = 4*j - 9*j. Let k = -25 + j. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 0*p**2 + 0*p**2)*(-3*p**2 + 4*p**2 + p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9593 + 9596. Solve x*w - 34 = -c + 5*c, -2*c + 4 = 2*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 1. Suppose -5*h = 3*i - h - 8, -2*i = 2*h - 6. Suppose -3 = -i*s + 1. List the prime factors of c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(45) - sqrt(5)) + 1*sqrt(245))**2.\nAnswer: -90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h\/h**(-4)))*h*h)\/h)\/(h*(((h**(-3)*h)\/h)\/h)\/h))\/(h*h*h**2\/h*h**0\/h) assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 8, -23, -82, -175, -308, -487?\n\"Answer: -j**3 - 5*j**2 + 13*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12175*x + 13648*x - 4541*x.\nAnswer: 21282*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 15*l - 112. Sort l, -4, -10, 73, -5.\nAnswer: -10, -5, -4, l, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 3495*g**2 + 33 + 11050*g**2 + 40 - 111.\nAnswer: 7555*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421322260 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701640871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 53.2. What is the third biggest value in h, -1, -0.3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 8) + 17 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**3 - 7*s**2 + 7*s + 7. Let o(r) = -3*r**3 + 2*r**2 - 2*r - 2. Calculate 2*h(y) + 7*o(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -156. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*x - 2*x + 21 = 0, 2*s + 4*x = 18. Let b be (s - -17)\/(2\/1). What is the units digit of ((-44)\/b + 4)*-240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 268 + 48\/15 + (-1)\/5. Let v = n - -14. Suppose 6 + v = 3*o. What are the prime factors of o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*y - 254 = 0, 24*y - 29*y + 25 = 0. Calculate the least common multiple of 8 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y + 482. Determine w(-46).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6157*k + 14. Let c(i) = -2051*i - 4. What is -7*c(w) - 2*f(w)?\nAnswer: 2043*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158277 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4 - 4)*(g - 6*g + 4*g) + 80*g**2 - 625*g**2 - 34*g**2 + (2*g + 3 - 3)*(10*g + 6*g - 5*g).\nAnswer: -556*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - m - 6 = -3*m, -4*q + 3*m = 3. Let d be -3 - q - (-6)\/1. Let w be 1 - 2 - (-5)\/d. What is the second smallest value in w, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - 0.7. Let f = 257 - 257.03. Which is the nearest to k? (a) f (b) -3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - z - 36, 2*c = -z + 24. Suppose c = 4*m + 6. Suppose -11 = -3*g + 10. Solve -m - g = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312 + -206. Suppose l - b - 54 = -l, -4*l + h = -b. Suppose -41 - l = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*g = 2*u + 84, 0 = -u + g + 16. What is the least common multiple of u and 3200?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 - 200. Suppose -2*y - 2 = -2*v, 2*v - 3*y + 0*y + 1 = 0. Solve -v = 5*k + s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(45\/(-20))*3\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 2*j**2 + j + 2. Let h = 1 - 0. Let y be (4 - h)*(-8)\/6. Let i be -6*y\/(-8) - -5. Give x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i. Let c(l) = 55*l**3 - 4*l**2 + 42*l. Let g(m) = c(m) + 4*k(m). Find the second derivative of g(o) wrt o.\nAnswer: 330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 - 5*z - 3. Let l be g(6). Differentiate -1 - 2*h**l + 4*h**3 - 4*h**3 - 2 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 5cd4?\nAnswer: -5cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6455414.\nAnswer: 2, 7, 461101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3870, 4, -33 in decreasing order.\nAnswer: 4, -3, -33, -3870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13594*a - 13609*a = 300 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + (5 - -83 - 34).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1380)\/90)\/((-5796)\/378)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21*z. Let d(t) = -4*t - 35. Let i(s) = s + 10. Let o(m) = 2*d(m) + 7*i(m). Determine k(o(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -52. Let l = g - -17. Let y(p) = -p**3 - 9*p**2 - 9*p - 6. Is 33 a factor of y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/8 - 7*g**3\/3 + 7*g**2. Let n be z(-6). Solve l + 3*b = -17, n*l - 4*b + 3 = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*q + l**3 - 31944*l**2*q + 123*l**2 + 39*l*q + 2738*l - 2*q + 3 wrt q.\nAnswer: l**3 - 31944*l**2 + 39*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -289. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-3*k**2 + 2*k**2 + 2*k**2) + 8*k + 10*k**2 - 8*k + 2 + 2*k**2 + 0*k**2 + 0*k**2 + 2*k**2 - 2*k**2 + k**2.\nAnswer: 11*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1238, -2707, -4214, -5759?\n\"Answer: -19*v**2 - 1412*v + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/36 and -13\/3960?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2221 (base 4) to base 2\nAnswer: -10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:39 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264385 by 52877.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -76. Suppose 11*p - 13*p + 112 = b. Suppose 2*y = 25 + 3. What is the greatest common divisor of p and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/22)\/a*a)\/a)\/(a\/((a*a**25)\/a)) assuming a is positive.\nAnswer: a**(505\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3374 < -3377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(32\/6)*-40*9\/81?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-20))\/((-2)\/(-8)). Let d(h) = 19*h + 39. Let b be d(-2). Calculate the greatest common divisor of b and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 7. What is the remainder when (-5*(-10)\/(-100))\/(2\/(-12)) is divided by t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14089, -14113, -14137?\n\"Answer: -24*t - 14065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -5. Suppose -18*g = -y*g. Suppose u - 4 = -g*u + 2*p, 5*p + 10 = -3*u. Solve d = -u*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 13. Solve -26*b + 12*b**3 - 32 - 12*b - h*b + 8*b**2 = 0.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-8 + 9)) + 7 + -1 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12473 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 262363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -0.5, 49, 1\/27, 2, 5?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 23*j**2 + 48*j - 30. Let z be k(-25). Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = -4*c, -9 = -b - 5*c - 2. Let v(l) = -l + 15. Let x be v(b). Suppose 71 = 2*f + 4*d - 7, -5*d - 73 = -x*f. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 l when three letters picked without replacement from jululuuluijjc.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -182973 (base 10) in base 6?\nAnswer: -3531033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*2*-5)\/((2*sqrt(108) - sqrt(108))*-6).\nAnswer: 55*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f. Let q(b) be the third derivative of 0*b**4 + 1\/30*b**5 + 1\/3*b**3 + 2*b**2 + 0 + f*b. What is the first derivative of q(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134594831 + 145746769 = 385*q. Round q to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 8 = 206. Sort -1, a, 3, 23 in increasing order.\nAnswer: a, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 0, -66, -2, -15.\nAnswer: -66, -15, -2, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, -2, -5 in ascending order.\nAnswer: -5, -2, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-5\/7)\/l)*l)**(5\/6)\/((l*l**25*l)\/(l\/(l**(-2\/73)\/l)*l)) assuming l is positive.\nAnswer: l**(-32005\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 24. Let x be p(-9). Let t(r) = 5*r**2 - 4*r - x*r + 2 - 1 + 0*r**2 + r**3. Give t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27128, 27124, 27118, 27110, 27100?\nAnswer: 27088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078635 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297214 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*w**2*z**3 + 6741*w**2*z**2 - 5*w**2*z + 2*w*y*z**3 - w*y*z**2 + 22*y*z**4 - 7*y*z**2 wrt z?\nAnswer: -420*w**2 + 12*w*y + 528*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 173*8\/(-40) + (-2)\/5. Let b be 88\/(-55)*(n\/2)\/1. Differentiate 35*k + 3*k + b - 6*k - 7*k wrt k.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:58 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05456 - -1535.04544. What is t rounded to the nearest ten?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121 - 226 + 4*q + 79 + 79)*(4*q + 0*q - q) to the form v*q**2 + k*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*g**3*s**2 + 1766*g**3 - 45261*g**2 - g*s**2 wrt g.\nAnswer: -72*s**2 + 10596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 7.9. Let p = h + 5.63. What is p rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 149\/3, 5\/4, -3\/4 in descending order.\nAnswer: 149\/3, 5\/4, 3\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6 + 6 + 5*z**2 - 4*z + 7*z + 1. Is y(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-39)*(48 - 0). What is the greatest common divisor of 64 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.027, 3, -4, -5?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87.999922 + 88. What is y rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 5*k + 8. Let v be b(-5). Let o be 10\/15*-3 + v. Solve 0 = w - o*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*t - 2713, -o + 909 = -2*t + t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 247 - 226 = 4*x, 4*x = -5*r + 11. Which is the closest to -13? (a) 5 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1\/6*p**2 + 2 - 11\/6*p = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2\/3 (c) 1\/21 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17306, 138290, 466634, 1106018, 2160122, 3732626, 5927210, 8847554?\nAnswer: 12597338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*j = 18, -4*t - 2*j + 4 = -14. Suppose 2*r - 8 = -t*c + 8, 4*c = -r + 2. What is the remainder when 37 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -673 - -668.91. Let b = c + 4.0899777. What is b rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6900\/2990 - (-9022)\/(-4056)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 - 14 + 10*y + 5 + 5 in the form m + t*y and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 800283344 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 255. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(75)*-3*1 + sqrt(75) + sqrt(75) - (3 + sqrt(75) + 3 + sqrt(75))) + 4)**2.\nAnswer: -90*sqrt(3) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j**2 + 49*j**2 - 38*j**2 + (-3*j + 3*j - 2*j)*(0*j + 2*j + 0*j) + 0*j**2 + j - j**2 - j**2 as w*j**2 + d + z*j and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 108, -4 in descending order.\nAnswer: 108, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 = 3*k - 4*k, 0 = -3*b - 5*k - 1. Suppose -j - b*j = 0. Let u(g) = j*g - 3 + 0*g + 3*g - 5*g. Let m(y) = 1. Give -2*m(r) - u(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2710181 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -579, -617, -685, -783, -911?\n\"Answer: -15*n**2 + 7*n - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/258? (a) -2 (b) -1\/6 (c) 1\/12 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1753853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 168*l**2. Let i be -20 + (-289)\/5 + 932\/1165. Let s(f) = 13*f**2. Let g be (4\/(-3))\/((-2)\/9). What is g*c(a) + i*s(a)?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/200625 and 56\/1875.\nAnswer: 200625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3)) - (sqrt(17) - -3*sqrt(68)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*m**3 + 0*m**2 - 2*m**2 + 2*m**2 + 810*m**3 - 189*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 159090 divided by -53030\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2304*r**5 - 13828800*r**4 - 28802692*r**3 - 16152200*r**2 - 1200004*r - 24000 = 0. What is r?\nAnswer: -6000, -1, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 853380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 26*v**2 + 1754*v - 1. Calculate x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 9*m**2 + 10. Let d(n) = 2*n**3 - 8*n**2 - 8. Let s(o) = 4*d(o) + 3*x(o). Calculate s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-15)\/((-525)\/28)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 2:00 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0.5 (b) -2\/3 (c) -2\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3895173000 and -9258?\nAnswer: 3895163742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(149 - 149 + 299*u) as x*u + f and give x.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3962835 by 18.\nAnswer: 440315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-1 - -6 - 3) + -8. Let s(q) = -2*q + 16. Let r be s(k). Suppose 66 = -r*t + 33*t. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61858, 61856, 61854?\nAnswer: 61852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(176))\/sqrt(4))\/((sqrt(4) - 6*sqrt(36)) + sqrt(324)*-2).\nAnswer: -3*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11135465?\nAnswer: 5, 11, 293, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12848*a + 0 - 1.\nAnswer: -12848*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88948, 88940, 88932, 88924, 88916?\nAnswer: 88908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30659604 and 1128.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -135, -225, -337, -477, -651, -865, -1125?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-88)\/22. Suppose 4*b - d = 52, 4*b - f*d - 22 = 26. What is the greatest common factor of 112 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06452297 equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*c + 5. Let k = -2 - c. Suppose 5*t - 6 - 14 = k. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554 by -1.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.2 and 1.8.\nAnswer: -14.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22485866 divided by 1729682?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/14 - (-9)\/2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 11*x + 2. Calculate y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1910.6, 7, 0.4 in descending order.\nAnswer: 7, 0.4, -1910.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106678399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 88 = -2*f, 3*v - 24*f + 25*f = 124. Solve 5*s = -2*x - 28, 3*s + v = -5*x - 2*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*g + 2*k, 5*g - 2*k = -0*k - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68907580.\nAnswer: 2, 5, 7, 331, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 430 divided by -169\nAnswer: -430\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/21)\/(8\/36)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62573689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 2 v when four letters picked without replacement from jovvdoujjjljdljvvjj?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 849.5343l?\nAnswer: 849534.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -0.3934105\nAnswer: 0.4934105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11163*m = -2*z + 11167*m - 2, -4*m - 23 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j + 5*j**3 + 158*j - 81*j.\nAnswer: 5*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -659329871 to the nearest 1000000.\nAnswer: -659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 42*s**3 - 12 - 27*s**3 to the form y*s + c*s**3 + r + n*s**2 and give c.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/350 + -69\/350. Which is the fourth smallest value? (a) -0.1 (b) 6 (c) o (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-1*2\/3). Suppose -y + 96 = l. Let d = y - 50. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*x, 0 = 2*s + 1 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 14148*t + 42408.\nAnswer: 4*(t + 3)*(t + 3534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4192 - 4188. Solve -o*c + 5*v = 0, 2*c - c + 3*v = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 + 9*l + 9. Let d be k(-8). Solve -5*w = -5*y + 20, -3*w + d + 3 = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + y - 25 = 0, 2*y = d - 7 - 15. Suppose -4*m + d = 4. Suppose -4*w - m*z + 136 = 0, 3*w - 2*z + 7*z - 97 = 0. Is w a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-8*12\/(-2448).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 2*q**2 + 0 + 6*q**2 - q**2 - 4*q**2 + (2*q - 2*q - 2*q)*(0*q + 0*q + 2*q) - q**2 - q**2 + q**2.\nAnswer: -6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -5)\/((-20)\/(-6) - 3). Let n(t) = -t**3 + 13*t**2 - t + 7. Let i be n(13). What is the tens digit of (-222)\/h*(-45)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 20. Suppose 4*z + 3 = 5*z. Suppose 0*d - z*s = -4*d + 3, -2*s - 2 = 5*d. Solve -k*c + 2*l + 10 = d, 3*c + 3*l + 3 + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*v - 59150 = 2966*v + 52478 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -55*c**2 - 2*c. Let u(h) = 126*h. Determine q(u(z)).\nAnswer: -873180*z**2 - 252*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -3, -4, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*b = 17, -4*t + 5*b - 12 = -3. Suppose -108 = -2*y + q, 20 = y + t*q - 16. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2206954 is divided by 353.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -46. Suppose -v*f + 408 = -1152. Suppose -m + 0*m + 199 = 2*k, -5*k + 5*m + f = 0. What are the prime factors of k?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - k**3 + 37 + 76*k**2.\nAnswer: -k**3 + 76*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y**2 + y)*(2*y + 1 - 1) + 5*y**3 - 5*y**3 + y**3 + (6*y - 8*y - 9*y)*(-2*y + 2*y - 7*y**2).\nAnswer: 82*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 59. Solve 6 = -i - 4*p, 2*i = 3*p - w*p - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12185860.5418434 - 1.4581566. Let p = -12185864.0000003 - k. Let y = 2 + p. What is y rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7102391, -14204782, -21307175, -28409570, -35511967?\n\"Answer: -a**2 - 7102388*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9)*(-27)\/(-6). Suppose -n - w = n. Sort n, 2, 0 in descending order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 12*t - 8. Let o be u(13). Solve 4*k = -1 + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (11 + -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**2 + 11*p + 5. Let k(j) = -6*j**2 + 6*j + 3. Suppose 0 = -29*s + 26*s - 189. Let n = 39 + 17. Let a = s + n. Determine a*k(u) + 4*b(u).\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, 5\/3, -3\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 20280.\nAnswer: -1\/5070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10*z - 480 = -3*m, 360 = -3*z + m. Let f be ((-8)\/18)\/(z\/(-90)). Which is the nearest to f? (a) -0.22 (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l. Let v be w(-3). Solve -v*x = 2*b - 7, 3*b - 2 = -2*x + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -2\/461?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*m + 12 = 0, -m = -2*l - 6*m + 13. Let v(z) = 2*z**3 + 2*z**2 + 7*z + 4. Let h(t) = -6*t**3 - 5*t**2 - 20*t - 11. What is l*h(i) + 11*v(i)?\nAnswer: -2*i**3 + 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729*r**2*y**4 - 2114*r**2*y + 2*r*y**4 wrt y.\nAnswer: -8748*r**2*y**2 + 24*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71530 greater than 71528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -27*b - 3. Let s be o(-1). Suppose 4*i = k - s, 2*i + i = -15. Solve -k*y = -6*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.668 and 581.\nAnswer: -2131.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(-1 + 3 + 0) - 3 + 5 - 1)*(12*l - 4*l + 4*l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11187*s - 4569*s + 3568*s - 1856*s + 8.\nAnswer: -14044*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 600.32 and 63.\nAnswer: 37820.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - 4. Suppose -15 = -2*u - j*u. Calculate the smallest common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/9))\/(l*l**13))\/((l\/(l\/(l\/((l*(l\/l**(8\/9))\/l)\/l))))\/l)**(-6\/11) assuming l is positive.\nAnswer: l**(-1261\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1077816*s**5 + 15*s**2 - 15639*s wrt s?\nAnswer: 64668960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2 + 6530106*v - 13060204 = 0.\nAnswer: 2, 3265051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.7465151 times 5\nAnswer: 13.7325755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278686986?\nAnswer: 2, 3, 46447831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(0 - 1) + (1 - 9). Let x be (-3 + (-33)\/m)*(-8)\/(-2). Solve -x = 2*h - 0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922851 is divided by 692.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8382*h + 352031. Calculate j(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 11*x + 13. Let w(k) = k**2 + 2*k + 1. Let v(n) = p(n) + 6*w(n). Give v(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.37 - -1.07. What is the smallest value in -1, q, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1006.0539 - 1006. Let a = g + 0.0161. What is the second biggest value in a, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 13*u**2 - 23*u + 67. Let m be l(15). Let p = -1206\/7 + m. Which is the nearest to p? (a) 0.5 (b) -1 (c) 1\/80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u + 87. Let q(i) = i + 11. Let d(x) = -4*p(x) + 33*q(x). Let l(t) = 3*t + 7. Let y be l(-5). What are the prime factors of d(y)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113114283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 at most as big as -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1533.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(4\/(-188 - 0)). Suppose -4*d - l = -75. Let o(v) be the second derivative of v**4\/12 - 3*v**3\/2 + 7*v**2\/2 - v. Give o(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -3*q - 65 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 119 = -3*y - 17, 4*h + 28 = y. Suppose 0 = -1220*w + 127458 + 114102. What is the greatest common factor of y and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v - 6. Let a(i) be the first derivative of -5*i**2\/2 + 2*i - 6. Calculate -8*a(j) - 3*c(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-1)\/2*4. Suppose 3*q = 5*y - 644, -6*y = -y + g*q - 654. Suppose -4*f + y = v, -3*v + 36 = f - v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -20*y**3 - y. Let c be m(1). Let x = c + 142. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*c - 28*c - 33*c - 2 + c + 2 + 2*c + 2*c - 5*c + (4*c - 4*c - 2*c)*(-2 + 4 - 4) + 10*c + 2*c - 3*c)*(c**3 - c**3 + 2*c**3).\nAnswer: 60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 30 = 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2294 or 2322?\nAnswer: 2294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 844*x**2 + 7*x + 3. Let g = -17 + 15. Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4225767.4616 - 4227497. Let k = 1682.53 + r. Let n = k + 47. Round n to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 42. Suppose u*v - 820 = 4*h, -249 - 366 = -4*v - 5*h. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 5)*(-145*q**2 - 2 + 1 + 0)*(4*q + 2 - 2).\nAnswer: 4640*q**3 + 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*p - 5*q + 16940 = 0, 12 = -2768*q + 2765*q for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i. Let r = 52675993\/869 + -60617. Let m = r - -2\/79. Is i smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.3. Let o = -15\/14 - -9\/28. Let x = -2429\/13 - -187. What is the closest to -1 in o, z, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*c = -c + 4, 9 = 3*f - 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -5*4\/(-2). Suppose 0 = -l - 2*f + 58, f = z*l - 77 - 164. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d**5 - 225*d**4 + 507*d**3 + 369*d**2 - 519*d - 144 = 0 for d.\nAnswer: -1, -1\/4, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153 - 97. Suppose -10*z + 162 = -7*z. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8623134 divided by -1437189\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/64 and 71\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 865, -0.5, 5\/7, -2, -4?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let y(b) = 26454095*b. What is y(i(f))?\nAnswer: -52908190*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*l - 2475 + 2473 = 0, -4*b - 9 = -5*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 153*u - 29. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z + 1. Let m be o(-1). Let h = 20 + -139\/7. Suppose -3*w + 1 + 14 = 0. What is the smallest value in w, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 483\/249272 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 354359904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1681841685 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -38?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3\/9 + 58*h**2\/9 + 28*h\/9 = 0. Calculate h.\nAnswer: -14, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2962197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -581967*f - 6. Let q(b) = -11*b. Give o(q(z)).\nAnswer: 6401637*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-940)\/100)*(-17 + (-598)\/(-39))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 156 = -119. Suppose 0 = -2*n + l + 65. Suppose 4*j + 2*s - 44 = 0, -4*j + n = 2*s - 4*s. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 47 - 76*b**2 + 41*b**2 + 36*b**2 + 22*b. Let k be q(-21). What is the second derivative of -32*l + 26 - k + 19*l**2 wrt l?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.485 and 1405.\nAnswer: -3491.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 47 = 22*i - 11*i, 4*k + 14 = -i - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1014654 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:26 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*r + 3*n - 3, -n - 3 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*i - 5*r, -67*i = -71*i + 3*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*h = w - 164, 4*w + 5*h - 164 = 0. Let t = w - -173. What are the prime factors of t?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7235836480 and 6634?\nAnswer: 6634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220691 is divided by 789.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -51051?\nAnswer: 51124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289 + -8669\/30. Let f(u) be the third derivative of 5\/24*u**4 - 2\/105*u**7 + 1\/3*u**3 + n*u**5 - 1\/336*u**8 - 1\/30*u**6 + 3*u**2 + 0*u + 0. Factor f(m).\nAnswer: -(m - 1)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let a(s) = -4776*s. Determine h(a(w)).\nAnswer: 22810176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 692679107 and 34676.\nAnswer: 8669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 97460?\nAnswer: 194920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101378 divided by 293.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35345361 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*d + 31, 2*f = -d + 1021. What is the lowest common multiple of f and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 - 3*j. Let c(o) = 6211*o**3 + 14*o**2 + 5435*o. Let z(h) = -c(h) + 7*q(h). Find the second derivative of z(v) wrt v.\nAnswer: -37308*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 9416?\nAnswer: 7\/9416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 186*m - 6*m**2 + 2536*m - 5.\nAnswer: -6*m**2 + 2350*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from wwwwmmawmwaamzaawzm?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/1429 + -61393\/12861. Let s(k) = k**3 + k**2 - k - 1. Let d be s(0). Find the common denominator of j and 1 + 72\/(-21) - d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let s be 0 + 1 + (29 - -2). Suppose 0 = m*x - s. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(425) + -1 + 5*(0 + sqrt(425)) - (-1 + sqrt(425)*-1 - ((sqrt(425) + 1 - sqrt(425)) + sqrt(425) + 3))) + -2)**2 + -1.\nAnswer: 80*sqrt(17) + 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*l = 20794 + 11149, l - 159759 = -5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-116))\/(-2*-1*1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216562 + -24?\nAnswer: -216586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646463 to the power of 1\/2, to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1015, 1337, 1873, 2623, 3587?\n\"Answer: 107*t**2 + t + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231 - 2 - 0\/3?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 521*t**2 - 6*t + 7. Let o(i) = -523*i**2 + 5*i - 6. Calculate 3*l(a) + 4*o(a).\nAnswer: -529*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 88*z + 7. Let t be f(8). Suppose 12*y - 3105 = t. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.2, -74, 1\/2, -18, 9 in descending order.\nAnswer: 9, 1\/2, -0.2, -1\/2, -18, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {c: 1, u: 1, j: 1, r: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28182.\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydn when three letters picked without replacement from yeeddeeneeedyyenn?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -48. Which is the closest to u? (a) -0.2 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}