diff --git "a/data/dm_maths/full_data_2/11056_11255.jsonl" "b/data/dm_maths/full_data_2/11056_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11056_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from {s: 8, e: 5, j: 7}. What is prob of sequence ee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - q - 20, -r - 3*q = q - 22. Suppose 3*p = r - 0. Solve 2*h + 2*u = 0, -5*h - 3*u = -4 - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 85917*b - 171822 = 0.\nAnswer: 2, 28637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*l + 97. What is the lowest common multiple of (5\/l)\/((-3)\/(-21)) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -19*a**3\/3 - a**2\/2 + 20*a. Let w = -2 + 1. Is h(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86899.79 microseconds to nanoseconds.\nAnswer: 86899790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -386?\nAnswer: 385.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 4 - 18)*(0 + 0 + 1)*(-3*g**2 + 2*g**3 + 3*g**2).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from lqdq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142, 236, 394, 616, 902, 1252?\n\"Answer: 32*g**2 - 2*g + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, s: 7}. Give prob of sequence eses.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 27 (b) 8 (c) -1\/13 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -528.49 + 525. Let j = -3.1 - h. What is j rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 - s**2\/2 + 19*s + 1. Suppose -13*h = -17*h. List the prime factors of w(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 17*j - 0*j + 70, j + 45*y = -2*j + 36*y - 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7632299.\nAnswer: 59, 129361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3930313*f*n - 53*f + 650 wrt n?\nAnswer: -3930313*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (3 - 0)) + (149\/(-298))\/(1\/62).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -22*n. Let p(h) = h**2 - 1324. Give u(p(s)).\nAnswer: -22*s**2 + 29128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(2\/(-44)). Let f = x + -8. Which is the nearest to -0.1? (a) 0.2 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i. Let r(q) be the first derivative of q**6\/72 + 2*q**3\/3 - 2*q - 5. Let z(y) be the third derivative of r(y). What is z(o(d))?\nAnswer: 320*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.36647 rounded to one decimal place?\nAnswer: 470.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15282526*i - 7641264*i - 7641260*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -102647*1\nAnswer: -102647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 36*w + 2*f = -36*w + 26, 328*w - 332*w - 62 = f for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/10 + w**3\/6 + w**2 + 7*w. Let o be (-1)\/(2 + (-1)\/1). Let n(r) = -2*r**3 - 1 - 2*r + r**3 + r. What is o*n(y) - m(y)?\nAnswer: -y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 172926545350049?\nAnswer: 172926545350048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 52 = -3*q + 5*o, -2*q + o = -41. Suppose 0*u + 114 = 4*v + 5*u, -5*u + q = v. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 496772567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2381 + 1639 = 3*j, -2673 = -2*j - d. Calculate the highest common factor of 30 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirriir. What is prob of picking 1 r and 2 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 547272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + o = 4*o - 8, 3*i + 3*o = 18. Suppose -l - 5*l = 108. Let r = l + 22. What is the remainder when i is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t = 52*t + 108 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/5 - 502208*s - 2511042\/5 = 0?\nAnswer: -1, 1255521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 636906 divided by 6\nAnswer: 106151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82747 is divided by 20649.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (192\/15)\/4 - (-28)\/(-7). What is the biggest value in 12, -2\/3, 0.1, a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 - 16*j**2 + 11 + 29*j**2 to the form p*j + w*j**2 + a and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 - 195*f**2 - 192*f = 0.\nAnswer: -64, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97455656, -97455646, -97455636?\nAnswer: -97455626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1961893546 + -0.142.\nAnswer: 1961893545.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580538 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-138)*(-33)\/44. Is 0 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154447 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**3 + 10*d**3 - 16*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -5 + -1 - 1) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197a (base 14) in base 9?\nAnswer: 65023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1722*n**3 - 214*n**3 + 1234*n**3.\nAnswer: 2742*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.7564 millennia in months?\nAnswer: 909076.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.00000031 - -84. Round o to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t + 2*t)*(2 + 0 - 3) - 170*t + 472*t + 590*t as k*t + a and give k.\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from {q: 2, n: 2, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170629.827 less than -175?\nAnswer: -170804.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-4\/13))**37*((h*h*h\/h**(-5)*h*h*h)\/h**(-4\/3))\/(h\/h**(2\/9))**18 assuming h is positive.\nAnswer: h**(-953\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/220 and -34\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/49))**(-3\/44)*(i**(-9\/11))**(-16) assuming i is positive.\nAnswer: i**(2553\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:46 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9877 (b) 5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526657.\nAnswer: 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(832))**2*-2 + 5.\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.2 + 7.8. Let x = 16 - j. Let c be 6\/9 + 1\/6. Is c >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47232923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -16*t - 3783. Let x = t + 60. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.0021 - -0.0021. Put o, -2, 3\/5, 5 in ascending order.\nAnswer: o, -2, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255637047 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 75\/19?\nAnswer: 75\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Suppose -d*b - 38 = 17. Let u = 16 + b. Calculate the remainder when 13 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 32600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 33*t - 62. Let b be k(-30). Let i(l) = 4 - 14*l - 4 - 5*l + b*l. Let d(a) = -2*a**2. Give i(d(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, r: 2}. What is prob of picking 2 h?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 307.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 2, g: 2, l: 1, o: 2, f: 2}. What is prob of picking 2 f, 1 q, and 1 t?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2352, -2114, -1876, -1638, -1400?\n\"Answer: 238*p - 2590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 8, t: 5}. What is prob of picking 1 r and 1 q?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20))**2 - (1 + sqrt(5) + -5).\nAnswer: -sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74028 and 572384.\nAnswer: 341713248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1116, -2231, -3346, -4461?\nAnswer: -5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0. Let p = 3.04 - 0.04. Let s = -1 - p. What is the third smallest value in 0.4, s, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 783590279 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 17*k**6\/15 - k**5\/60 - 221*k**4\/8 - k**2 - 68. What is the second derivative of l(v) wrt v?\nAnswer: 816*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 15*s - 7. Let z(r) = 3*r. Let i be z(4). What are the prime factors of m(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*a - 80*a + 246*a.\nAnswer: 355*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 5 = 1. Let h be n\/3*(23 - 14). What is the units digit of (h - (-40)\/15)*-117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160695523 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402 * -610.\nAnswer: 245220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (12 + 0) - (4 - -1) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 192, -0.3, -438, 2 in ascending order.\nAnswer: -438, -0.3, 2, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 69.50071 decades?\nAnswer: 6.950071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 6 - 4*x + 2*x - 1.\nAnswer: -8*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 3, g: 4}. Give prob of sequence izz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5928, 5942, 5948, 5940, 5912?\n\"Answer: -f**3 + 2*f**2 + 15*f + 5912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s**5*s))**24 assuming s is positive.\nAnswer: s**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < -381298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4 = 2*s. Let w be -3*(s - (-16)\/(-12)). Let c be (19 - -6) + -3 + w. Solve -c = 4*k + 3*m, -2*k - 6 = -4*m - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.70898032 - 0.3910152. Let g = z + 1.1. Round g to 7 decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1042620, -2085236, -3127844, -4170444, -5213036, -6255620?\n\"Answer: 4*j**2 - 1042628*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80\/7*k + 4\/7*k**2 + 400\/7 = 0. Calculate k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -709.97 - -707. Let z = 0.3 - 0.27. Let o = z - b. What is the biggest value in -0.5, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(17))*-6*1 + (sqrt(1700) + sqrt(1700) + -1 - sqrt(68)\/sqrt(64)) + -4.\nAnswer: -5 + 55*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p**3 + 60*p**3 - 7*p**3 - 111*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -684*s**3 - 2*s**2 + 11*s + 2. Let n(c) = 683*c**3 + 3*c**2 - 12*c - 2. Let o(p) = 7*l(p) + 6*n(p). Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3\/6 - h. Let j(k) = -5*k**2 - 3*k. Let s(b) = 9*b**2 + 5*b. Let f(r) = 5*j(r) + 3*s(r). Give f(c(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -446, -784, -1120, -1454, -1786, -2116?\n\"Answer: s**2 - 341*s - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 34 = -4*h, 2*d - 3*d - 5*h = -17. Let m = d + -28. Let n = m - -24. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oaddhodooomr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2.7. Let t = u - 0.3. Let i be (10 - 1)*((-7)\/30)\/(-7). Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.232 - 3.232. Let k = 5.4 + -5. Which is the third biggest value? (a) -0.7 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 116, 284, 494?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/3 + 1698*u - 10184\/3 = 0.\nAnswer: 2, 5092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:06 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193 - 176. Suppose -2*a + 4 = -2*p, -5*a + 30 = p + 8. Let b = a + y. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**3 - 8*c**3 + 12*c**3)*(16*c - 117 + 117) to the form f*c**3 + p*c**2 + a*c**4 + i*c + m and give a.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*x + 0*x + 24 = 0, 3*l - 11 = -x. Find the third derivative of 2*b**l - b**4 - b**4 + 0*b**2 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**2 + 25*k**2 - 12*k**2. Let s(f) = -8*f**2 - 3*f. Calculate s(g(o)).\nAnswer: -32*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*o**3 + 108*o**3 - 287*o**3 + 91*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 12 = -15*z, -5*y + 5*z = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let d be h(5). Solve d*q - q = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -514.1227 - -0.1227. Let c = v + 467.4. Round c to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11433 (base 5) to base 2.\nAnswer: -1101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6339.3 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13472 + 309 = -10934*a + 3633 + 16006 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29393 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 - 3*r - 8.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*b + 17 = 0, -s + 3 + 8 = 2*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1268, 4, -5.\nAnswer: -5, 3, 4, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 342617\/80290 + -1599\/370. Calculate the common denominator of 17\/70 and k.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173747 + 211?\nAnswer: -173536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 299 = -37*z. Which is greater: 3\/5 or z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*z - 142*z + 170*z + 157*z as m + a*z and give a.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(((r\/r**(-2\/7))\/r)\/r)))**(3\/19)\/((r*r**(-2)\/r)\/(r\/r**3)))\/((r**4\/r)\/r*r\/(r**(-3\/10)\/r))**(-3\/28) assuming r is positive.\nAnswer: r**(1851\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -54491.\nAnswer: -108982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2254)\/483)\/(0 - 2\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(63\/(-56))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 17364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 11. Let k = 3 + z. Let d(r) = -18400*r. Let m be d(k). What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20340 - 1?\nAnswer: 20335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 3, 660699 in descending order.\nAnswer: 660699, 4, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 7*r**2 + 17*r - 9 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/30)\/(2\/((-16)\/(-18))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.51 and -1672.\nAnswer: -9212.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - a + 22 = 4*a, 5*j + 9 = -3*a. Let n(p) = -p**3 - 6*p**2 - 3*p + 2. Give n(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -30. Is n < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430566.\nAnswer: 2, 367, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkyykkkk. What is prob of picking 3 k?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*s**2 - s - 198*s**2 + s.\nAnswer: -395*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let t = -3 + o. Let g = 4\/5 - 23\/35. Which is the biggest value? (a) g (b) -1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 33\/4 (b) 8 (c) -0.4 (d) -4 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1377))**2 + 2.\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l. Let z(c) = 3*c**2 + 2*c**2 - 5*c**2 - 2*c**2. Calculate z(i(g)).\nAnswer: -200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 2, k: 2, x: 1, h: 1}. Give prob of picking 2 g and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2\/(-4) + 27*(-38)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 185*w - 90*w - 90*w + 11 + 8. Let c = 25 + -17. List the prime factors of j(c).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 244*q**2 - 239*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1358*r**3 - 14*r**2 + r**4 + 0 - 6 - 1357*r**3 + 0*r - 2*r + 4 in the form a*r**3 + l*r**2 + f*r + h*r**4 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 813985 and 1222525.\nAnswer: 321524075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4028 - 1367*y**3 + 493*y**3 - 441*y**3 - 11553 - 1767*y**3 wrt y.\nAnswer: -9246*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 3:10 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 3\/5, 2\/5.\nAnswer: -194, 2\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 262 = -b, -4*f + 4*b + 256 = 0. Calculate the remainder when f is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58750.81 weeks in nanoseconds?\nAnswer: 35532489888000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 28a?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(1\/20)\/((m**(-1\/8)*m)\/m*m*(m**(2\/35)*m*m)\/m*m) assuming m is positive.\nAnswer: m**(-891\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -480*g + 378. Determine u(0).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/95 + (-256)\/(-10). Find the third derivative of -77 - k*h**2 + 6*h**2 + 3*h**3 + 6*h**5 + 77 wrt h.\nAnswer: 360*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.23 - -3.43. Which is the second smallest value? (a) -3 (b) g (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 311 - 211. Let a = -100.52 + l. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -116*l**3 - 161*l + 273*l - 12*l**2 - 28*l**2 + 4*l**5 + 48*l**4 - 8*l**2 = 0.\nAnswer: -14, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-4 + 6 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 10?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 - 2*a**2)*(54*a - 156 + 156 - a + a - a + (-2 - a + 2)*(-3 - 1 + 2)) + (3*a - 3 + 3)*(0 - 2*a**2 + 0).\nAnswer: -116*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/8 - 39*j**4\/8 + 15*j**3\/8 + 195*j**2\/8 - 3*j\/2 - 39\/2 = 0. What is j?\nAnswer: -13, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/36)\/(2\/99). Let o be 1530\/x - 4\/22. Let l = 10 + o. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 170?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 16. Suppose -5*f - 2 = 8, -2*y - 5*f = -468. Suppose y - 15 = 4*r. What is the highest common factor of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyy when four letters picked without replacement from yyyygyyyyg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:19 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74329695 a multiple of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*6\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -11*u**3\/6 - 997*u. Let c(z) = 2*z - 4*z - 2*z. Calculate c(p(n)).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 336228950 divided by 50\nAnswer: 6724579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 8:10 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -58 (b) -2\/9 (c) -2 (d) 50.1 (e) -0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4150 or -118.51?\nAnswer: -118.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 9*o**2 + 10*o + 7. Let n be f(-10). What is the first derivative of 7*h**4 + n + 111*h - 111*h wrt h?\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 32.33. Let i = 0.3299912 + o. What is i rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -547*l + 562. Calculate h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/16 - -1\/48. Let j = -1 - -2. Let n = -1 + j. What is the closest to 1\/4 in n, m, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/2 (c) 2.7 (d) -2\/7 (e) -0.7 (f) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 6 - 8*z**2 + 4 - 4 - 3*z**2. Let a(r) = 65*r**2 + 35*r + 35. Give 6*a(q) + 35*g(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9839566 is divided by 1431?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -7 - 3 - -100330 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -1) + (-3)\/1. Suppose 4*b = x*j - 20, 14*j = b + 16*j - 7. What is the nearest to -21 in b, 3, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7\/5 (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((3*sqrt(68) + sqrt(68))*-2)\/(sqrt(4) - (sqrt(4) - ((sqrt(64)\/sqrt(4) - sqrt(16)) + sqrt(16))))*-5)**2.\nAnswer: 6799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-4) - (-23)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -218995, -437931, -656867, -875803?\n\"Answer: -218936*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561.08797 rounded to 1 decimal place?\nAnswer: 4561.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/147807 and 27\/8260769.\nAnswer: 74346921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/3 - 7*k**2\/3 - 17*k\/3 - 3 = 0?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13116199 is divided by 1109?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-2)\/(-30)). Let z(u) = -u**2 + 6*u + 1. Let a be z(i). Let v = a + -4. Solve -3*t + t = -v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x + 29. Let c(a) = 7*a - 14. Let h(v) = 7*c(v) + 3*q(v). Let i be h(4). Suppose i*w + 1172 = 9*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48674 (base 9) to base 5.\nAnswer: 2021004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/o)**(-23)*(o**(2\/3)*o)\/o**4)\/(o**0*o*(o**(-2\/13)*o)\/o*o*(o**(-2))**12) assuming o is positive.\nAnswer: o**(-124\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19564 = -4*x - 7232. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13503574 by 6751787.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**34\/(j**28*j)*(j\/(j\/((j*j**(-1\/38))\/j)*j)*j)**(-22) assuming j is positive.\nAnswer: j**(106\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1531658.1 and -8004566.\nAnswer: -6472907.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 193298?\nAnswer: 193306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*o. Suppose 2*a + 22 = 3*a - 4*v, 0 = 2*a + 2*v - o. Solve 0 = 5*b - a*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p - 5*i, -p + 104 = 4*p - 4*i. Suppose -4*x - 19*q + p*q + 26 = 0, -2*x = -3*q - 14. Solve -x*b - 10 = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:40 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m - 14 - 1 + 14 - 2 + 2*m + 2 + m + 2*m - m + (-3 + 3 + 2)*(-1 + 1 + 2*m) - m - 2 + 2 + 1 - 1 - 2*m - 2*m + 3*m + 6*m + m + 0*m + 2*m.\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -91643 + 132482. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-12)*8\/2. Suppose 0 + 0*z + j*z**2 = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 4*u**2 + 5. Give c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -2*z. Let j be ((-20)\/35)\/(4 - 78\/21). Put j, z, -1 in descending order.\nAnswer: z, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -6. Suppose 4*v + 1 = n. Let h be ((-81)\/v)\/(-3)*2. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 - 8 = 0. Let k = 1495\/9 + -166. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*m**5 - 3*m**4 - 308*m**2 wrt m?\nAnswer: -4140*m**2 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*f, -2*f + 9 = i - 3. Suppose -2*v - v = -4*d + 4, 0 = i*v + 4*d + 16. Let c = 6 + v. Solve -11 = 3*h - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319715129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 15330120?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*k + 514*k = 2*m - 16, 0 = -5*k - 5*m + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 64 = -4*v. Suppose 0 = -2*c + 3*c, v = 4*u + 2*c. Suppose -41 + 1 = -u*f. Calculate the greatest common factor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*g - 292, 2*g + 24 + 266 = 2*b. Suppose 6 = 2*p, -2*v - 5*p + 281 + b = 0. Suppose v = 5*l - 555. Is 47 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.554, 6, -1.1, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 7. Let d(s) = 539*s - 7 + 515*s - 1052*s. Determine -3*d(x) - 4*l(x).\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + 186\/60)*(5 - 3).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 16.4.\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 10*f - 24. Let b be w(12). Let m(u) = -u**2 + u - 21. Determine m(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*p + 27*p + 93*p + 6*p)*(4 + 10*p + 21*p - 5) to i + r*p**2 + t*p and give r.\nAnswer: 5115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 17*x - 8*x + 16*x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 + 4*k - 53. Let q be i(-5). Let n(g) be the second derivative of -13\/2*g**2 + 0 - 11*g - q*g**3. What is the derivative of n(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 44\/7*l + 0 - 45\/7*l**2 + 1\/7*l**3 = 0.\nAnswer: 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -161*t**6\/15 + t**4\/6 - 110*t**3 + 879*t. Find the third derivative of a(c) wrt c.\nAnswer: -7728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(468)*2)**2 + -4) + (3 + sqrt(156)\/(sqrt(12) + (2*sqrt(108))\/sqrt(9)))**2.\nAnswer: -33530\/9 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279893524.\nAnswer: 2, 79, 293, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*n**4*x - 8*n**3*x + 21*x + 35 wrt n?\nAnswer: -384*n**3*x - 24*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230043 + 110?\nAnswer: 230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9150\/90*3\/5. Suppose 0 = -k*x + 53*x + 1664000. Round x to the nearest one thousand.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - c**2)*(-20550 + 20419 + 4*c**2 - 6*c**2) + 2*c**2 + 2*c**4 - 2*c**2.\nAnswer: -4*c**4 - 393*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74421.\nAnswer: 3, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 0)*((-40)\/(-12) + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -9. Let n(b) = -r + 3*b + 15 - 19. What is the units digit of n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*x - 3*x**2 + 3*x**2 - 10*x + 8*x**4 wrt x?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86273*g**3 - 5*g**2 - 59*g + 1627 wrt g.\nAnswer: 517638*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2352\/5530 + -3 + 7 + -4 - 2\/5\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 165005?\nAnswer: 165024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 + 297. Let b = z + -100. Factor 0 - 2\/3*y**4 + b*y + 8\/3*y**3 - 8\/3*y**2.\nAnswer: -2*y**2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43524, -86995, -130528, -174153, -217900, -261799, -305880, -350173?\nAnswer: -394708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*g + 3*i + 2, -2*g + 5*i = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*c + 14*c + 122 + 7*c + 4*c**2 + 9*c to the form p + a*c + h*c**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 605 - 361. What is the greatest common factor of 12 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24157368 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:14 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368071824 divided by 92017956.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*c - 34471 = -22561 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 96*z**2 + 10*z - 10. Calculate d(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 2, d: 4, a: 2}. Give prob of sequence an.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 1442*n**2 + 161752*n + 2552648.\nAnswer: 2*(n - 577)*(n - 158)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.27, 2\/529, -1\/7, -0.5, 0.4, -1, -3?\nAnswer: 2\/529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13869776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1144229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 186149+73867.08\nAnswer: 260016.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 + -324. Let q = -113 - o. Let v = -2 - 3. Which is the nearest to -1? (a) 0.4 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*t + 26 = 0, 140*h = 139*h + 5*t - 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8151 - 7964 = 11*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 6. Let i be v(3). Let m be 2\/(-2) - (3 - i). Let g = m + 6. What is the lowest common multiple of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 54*b**2 + 244*b + 9. Let h(d) = -75*d + 2780. Let i be h(37). Calculate t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*y = 115*y + 11434 - 2894 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3+-129084588\nAnswer: -129084591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -874*d**2 - 16*d - 3. Let u(n) = -1748*n**2 - 37*n - 7. Calculate -7*i(g) + 3*u(g).\nAnswer: 874*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.36 - -21. Let q = 5.399 - f. Let u = q + 0.28. Round u to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*19\/1026 - (2 + -2). What is the smallest value in -5, -2\/11, 3, q, 2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268425, 268421, 268427, 268449, 268493, 268565?\nAnswer: 268671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j - 8. Let d(k) = -k + 2. Let g be d(-4). Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 + 12*o**2 - 14*o - 1. Let c(b) = -5*b**3 + 13*b**2 - 15*b. Let r(f) = -5*c(f) + 6*d(f). Is r(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Let y be (0 - 3) + 20\/10. Let l(t) = t**2 - 22*t + 3. Let z be l(22). Which is the closest to z? (a) y (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -4, 3, 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212333 take away -112732?\nAnswer: 325065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x - 1811 + 1943 = 0. Solve 4*u - 4*y - 12 = -5*y, -x*y = -u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*y - 22411 = 37047 - 16857 + 3039 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 434*a - 3. Let v(b) = -63*b**2 - 68*b**2 + 129*b**2. What is v(h(x))?\nAnswer: -376712*x**2 + 5208*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 - 2 = 0. Let j(z) = 2*z. Let k be j(1). Suppose 2*p - 3 - k = -5*n, -4 = 4*n. Solve 4*i - 4*o - 27 = 1, -p*i = -m*o - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 9) to base 6\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 35 = -5*q + 5*u, -19 = 2*q + 3*u. Calculate the common denominator of -43\/10 and 4537\/390 - q\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.895 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 51 = p - 3*j, -2*j = 2. Let f = p - -40. Let l = f - 13. Is l < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9623095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 11. Let c = 0.2 - -0.3. Let f = -0.5 + -0.3. Sort c, y, f in increasing order.\nAnswer: f, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 3, 1\/2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 - 1166 - 717 = 68*v - 56 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-3\/4)\/i*i*i*i)*i**(1\/4)*i*i**0*i\/(i**0*i)*((i*((i\/(i**(-2\/9)\/i))\/i)\/i*i)\/i**(1\/4))**(2\/111) assuming i is positive.\nAnswer: i**(2069\/1998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2550*o**3 + 2508*o**3 + 3*o**2 - 2*o**2.\nAnswer: -42*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 20 = -4*z. Suppose 30 - 5 = 2*w + x, 2*x + 10 = 2*w. Let a = 22 - w. Solve -j = -z*j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 10, 6*n - 4*n = -y - 6. Let i = -617\/96 + 3\/32. Let v = i + 124\/21. What is the fourth biggest value in y, 0.5, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22965768.47 to the nearest 10000.\nAnswer: -22970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 150 * 263.05\nAnswer: 39457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1877694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 59. Let u be (3 - 84\/16) + 2. Let d = 2.6 - -0.4. What is the second biggest value in u, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtn when three letters picked without replacement from mmutpnumpmtppmunptmp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 + 481*l - 4915. Calculate f(11).\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537396?\nAnswer: 2, 3, 19, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (26 - 8) - (1 - (0 + 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 2019 = -10*b + 24*b + 829 for b.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1222790118 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12096 divided by 336?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 468, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*150\/960*-10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*o = 64, -3*o = -5*t - 2*o + 73. Let j = 17 - t. Suppose -3*r + 87 - j = 0. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/3 - 59*u\/3 + 20 = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.42 times 0.8302?\nAnswer: 812.284284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -96600 to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195705 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -5*m - 43. Let g be ((-87)\/(-116))\/(6\/m). Solve -11*o = -g*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360859.\nAnswer: 113, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2 - 21*q**3 + 10 - 7*q**4 + 6*q**4 - 8 wrt q?\nAnswer: -24*q - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4\/(-1)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5252 - -4.42. Let s = w + -169.9948. What is s rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let c = 8 + -6. Let d be (6\/(-5))\/(3536\/715 - 5). Let f(p) = p - c*p - d*p**2 + p. Determine f(s(r)).\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-51700)\/(-990)*15\/20?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (10 + -15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1715552 and -93\/8148872.\nAnswer: 32595488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -522, -1334, -2148, -2964, -3782, -4602, -5424?\n\"Answer: -t**2 - 809*t + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 32 = l, -3*l - 4*x - 47 + 133 = 0. Is l at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-84)*9*(96\/(-16))\/(48\/8).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1367*w - 3058 + 18016 = -21951 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13806 divided by -9?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 4*l. Solve -2*y + 11 = l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 8\/5 (b) -4\/5 (c) 4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10761, -43015, -96769, -172023?\nAnswer: -268777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(204)\/(sqrt(12)*2) - (-4 + sqrt(102)\/sqrt(6)))**2 + 5*(sqrt(2057) + -1 + sqrt(2057))**2*-3.\nAnswer: -493639\/4 + 656*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6426 and 2133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42632018\/3 or 14210672?\nAnswer: 42632018\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2570, -2519, -2468, -2417?\nAnswer: -2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2 - -8) + (-75)\/(-5) + -22. Is n < -1\/1938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/28 + 17*j**5\/60 + 11*j**2. What is the third derivative of v(m) wrt m?\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*9*(-2)\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -65*d + 910. Let x(g) = -2*g + 30. Let q(r) = -3*n(r) + 91*x(r). Suppose -2*o + 4 = 2. Calculate q(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and 11186.66982.\nAnswer: 11186.63982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**4\/8 - 139*l**2. Let g(d) = -20*d. Determine g(i(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102146791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-186)\/9*9\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30842 divided by -2?\nAnswer: 15421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5 + 150*n**4 - 12*n**3 - 3302*n**2 - 4440*n = 0.\nAnswer: -37, -4, -3\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 49 = c. Let o(u) = u**3 - 9*u**2 - 10*u + 15. Let t be o(10). Let y = 10 + t. What is the remainder when c is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -144*q - 127. Let p be v(-1). Is p less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 20000.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 q when four letters picked without replacement from qqqqtqqqqqqt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2788593.77 to the nearest ten thousand.\nAnswer: -2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 22. Calculate z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d778 (base 16) to base 5.\nAnswer: 12330241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 4*c. Let h(y) = -2*y**2 + 5*y. Let g(p) = -5*b(p) + 4*h(p). Let q(w) be the second derivative of 145*w**4\/12 + 44850*w. Determine g(q(n)).\nAnswer: 42050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(156)*-3)\/sqrt(4) + sqrt(78)\/sqrt(18))\/(4*(sqrt(3) - (sqrt(3) + sqrt(3) + (sqrt(3)*2*-1 - sqrt(3)) + sqrt(3)))*6))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + -0.17. Round w to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 2. Let q = -11 - n. Differentiate q - 3 + 5 + 1 + 3*c wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 13 - 5. Suppose -2*f = -z - 8. Solve f*k = -0*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let h = 308 - 307. Which is the third biggest value? (a) h (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3639993453 to the power of 1\/3, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 23. Let n be l(25). Let j(p) be the first derivative of 1 - 1\/3*p**3 - n*p + 0*p**2. What is the first derivative of j(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 10*b - 7. Let k be c(-5). What is the highest common factor of 126 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-3))\/(6\/(-90)). Suppose i + 18*k = 13*k - 31, 45 = -3*i - 3*k. Let v be 10\/(2*((-55)\/20)\/i). What is the highest common divisor of d and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3235 - -16947. Suppose -20*o = -20248 - k. Is o a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h + 6 = 2*f, 0 = 3*h + 3*f. Suppose -20 = -0*c - 5*c. What is the third derivative of 4*p**2 - 4*p**c - 2 + 4 - h wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i + i)*(-1 - 2*i + 1) + 3*i**2 - i**2 + 0*i**2 - 42*i**2 + 39*i**2 - 33*i**2.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.5 - 17.5. What is the third smallest value in -3\/4, q, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360472 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353145.\nAnswer: 3, 5, 13, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224 + -43?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.48 or -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 - b**2 - 2*b + 3. What are the prime factors of w(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -71.868?\nAnswer: -66.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(-4 + 3 - 1)*(13*y - 124 + 124).\nAnswer: -78*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 3*f**2 + 6*f - 9. Let a be o(2). Suppose 4*k = -w + 186, w = -a*k + 2*k + 187. What are the prime factors of w?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/540 + 2*r**5\/135 + 35*r**4\/108 - 50*r**3\/9 + 150*r**2. Factor o(c).\nAnswer: -2*(c - 5)**2*(c + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c - 13*c + 52*c + 7.\nAnswer: 4*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1 (c) 5 (d) 0.081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by (-7 + 150\/24)*3216\/(-36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00346 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3. Let a be u(0). Let n be ((-11)\/(-33))\/(2\/(-12)). Put -4, n, a in decreasing order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**2 + 2*f**2 + 2*f**2)*(12 - 11 + 18) - 29*f**2 - 38*f**2 + 53*f**2 - f**2 - f**2 + f**2 as j*f**2 + g + n*f and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78152.44m to micrometers.\nAnswer: 78152440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 10*j**2 + 8*j + 4. Let p = -23 - -14. Let w be m(p). Suppose w*v - 50 = 8*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 + 0.01?\nAnswer: -150.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuatwasuuua. What is prob of sequence tws?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1865808, -1865803, -1865798, -1865793?\n\"Answer: 5*f - 1865813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2619, 10515, 23629, 41919, 65343?\nAnswer: 93859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {u: 2, n: 2, d: 7}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 468 - 463. Suppose 32224 = 4*o + 3*b, 2*o - 3*o + q*b = -8033. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7)*1) + 3 - (-3 + 1 + sqrt(19) - (sqrt(19) - (sqrt(57)\/sqrt(3) + -4))**2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.03\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7764183 + -252133.\nAnswer: -252132.2235817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 89 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 18324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 25 - 9. Solve -3 = -5*c - w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*h - 161712 = 0, j - 5*h - 9118 = 23264. List the prime factors of j.\nAnswer: 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 151722316?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/4*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and 99\/548.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-99) + 114722\/(-36). Let r = q - -3175. Calculate the common denominator of r and -99\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l - 3*l**2 - 1\/2*l**3 + 0 - 1\/6*l**4. Let p be (1 + -2)\/((-1)\/(-5)). Let c(d) = d + 1. Calculate p*c(a) - z(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 120*i + 71. What is t(26)?\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, -299, -297, -295, -293?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21223022231 (base 4) to base 7\nAnswer: -30361622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142954 is divided by 71470.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.081 - 0.181. What is the closest to 1 in -1\/2, -4, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-91)\/(-49)*21\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*(sqrt(1088) + (sqrt(1088) + 1)*-6 + 0 + 5) + 3)*6)**2.\nAnswer: 149760*sqrt(17) + 35253904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 122 = 50 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 8\/9, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-7 + 6)*-7. Solve -10 = 2*k, 0*d - 16 = d + g*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 - 13*c - 1. Let p be s(5). Let n = -78 + p. Is (-2 - -4)*6351\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 - 24 = 0. Suppose -30 = 5*b - h*f, b + 0*b - 5*f + 26 = 0. Sort 0, b, 2.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/1)\/(-5 + 6). Let c be 18\/8 - 4\/o. Find the second derivative of -k + k + k + k**c wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77705742 and 1?\nAnswer: 77705742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = -5*l - 126, -4*u + 100 = -4*l. Which is bigger: -25 or l?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4580, 7472, 10380, 13310, 16268, 19260?\nAnswer: 22292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + 2*((sqrt(200) - (-2*sqrt(200) + sqrt(200))) + sqrt(200)) + sqrt(200)))**2 - -6*(-2 + sqrt(32)*-2 + (-1 + sqrt(1568))**2).\nAnswer: 10816*sqrt(2) + 166602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147091841 to the power of 1\/4, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Let b be 8\/3 + 6\/18. Suppose -v = b*v - 80. Solve -4*g + 9*g = 2*j - 30, -4*j + v = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12331 + 131?\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 872\/(-62) + 546 + -532 - 1393\/31. Let d(p) = 2*p**3 + 92*p**2 + 89*p - 37. Calculate d(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768339 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:16 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + -115. What are the prime factors of (-1 + 117)*(-30)\/(-20) + a?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -13. Let o = 8 - u. Let j(a) = 5*a - 1. Let t be j(o). Let x(i) = i**2 - 7*i + 5. Determine x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22520, 180200, 608190, 1441646, 2815724, 4865580, 7726370, 11533250?\nAnswer: 16421376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1592*y**4 - 17 + 3*y**3 - 2*y**3 + 2*y**2 - 1591*y**4 to the form c*y**2 + o + t*y**3 + j*y**4 + m*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o + 12372 + 2181. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**4 - 3*t**3 + 3*t**3 + (1 - 3*t**2 - 1)*(-t**2 + 2*t**2 - 3*t**2).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5322 + -5190. Which is smaller: 137 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513) + sqrt(513) + (sqrt(513) - ((-2*sqrt(513) - sqrt(513))*-6 - sqrt(513))) + sqrt(513) + sqrt(513) - -2*sqrt(513)*1)\/(-3*-1*sqrt(108)*4))**2.\nAnswer: 475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000000011 (base 2) in base 4?\nAnswer: 120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:04 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2330 = 2*p - 5*d, 0 = -5*d - 10. Suppose c = 9*c + p. Let j = c - -205. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -32. Let k be (533\/(-91) - -6)*-2. Which is the nearest to w? (a) -1 (b) -1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9.16. Let q = -0.19 + k. What is q rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 27. Let g be l(-12). Suppose g*f + 482 = 2*h - 7*h, -5*h = 5*f + 810. Let j = f + 355. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*b - 113136 = 18336 for b.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -225.91, 0.02, 0.3 in descending order.\nAnswer: 0.3, 0.1, 0.02, -225.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -419*l**4 + 3*l + 1.\nAnswer: -5028*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3765280, 15061121, 33887522, 60244483?\nAnswer: 94132004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)\/(g*g**(-6)*g)*(g*g*g**(-8\/7)\/g*g)\/g*g*(g*g**29)\/g assuming g is positive.\nAnswer: g**(1178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 14579450.\nAnswer: 874767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-4*c**3 + c**3 + 4*c**3)*(c - c - 2*c**2).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 - -6. Let q = 0.1 + g. Which is the biggest value? (a) 0.02 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-30))\/((-2)\/(-39)). Let u be n\/5 - (-39)\/65. Let k = -0.041 + -4.959. Which is the nearest to 2\/7? (a) 5 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-1)\/sqrt(3))\/(1*sqrt(196)))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)*g*g*g**(-16)\/g assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - 123*n**2 - 55*n - 13. Let a(m) = -8*m**3 - 66*m**2 - 28*m - 6. Let h(w) = 11*a(w) - 6*o(w). Factor h(y).\nAnswer: 2*(y + 1)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 79561045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 + 34095*u**3 - 9020905*u**2 - 55183155*u - 46128150 = 0.\nAnswer: -5, -1, 282, 6543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*v - 22 = 1, y = 2*v + 6. Suppose -2*n + 40 = -4*c, 7*c - 4*c + y*n = -52. List the prime factors of ((-8)\/c)\/(1\/15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**14\/w)\/w*w)\/w)\/w*w**14*w*w\/(w\/(w**(-2\/15)\/w*w))*w**(-2\/49) assuming w is positive.\nAnswer: w**(20452\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18438 + 12968. Let i = -5282.91 - w. Let a = i + -188. What is a rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21186 times 5?\nAnswer: 105930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9038.53 + 8984. Let z = -0.47 + r. Let c = 54.7 + z. What is the second smallest value in 4\/5, c, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/11 - 2360*b\/11 - 196248\/11 = 0.\nAnswer: -78, 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 61 + 119*u**2 + 9*u + 18*u - 100*u**2 - 6*u. Is j(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrx when three letters picked without replacement from dlrxdzxr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**2. Suppose -4*z = 6 - 22, -3*g + 5*z = 23. Give d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*i + 0 = -1, 3*r - 3*i - 6 = 0. Suppose 2*k - 4*j + 322 = 1310, 3*k + r*j - 1504 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 + 4 - 3*h - 5. Let y be r(2). Let p(t) = -2*t - 3. What is p(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:39 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 90, 8 in decreasing order.\nAnswer: 90, 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 26. Calculate the greatest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-3 + (-72)\/(-15))*394\/591)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -35*w**3 + 40*w**2 + 23*w + 7. Is v(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, h: 1, l: 2, w: 10}. Give prob of sequence hn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24198*v - 24169*v + 58 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 1:48 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**8\/3360 + v**7\/420 - v**6\/90 + v**4\/6 + 33*v. Let c(j) be the third derivative of u(j). Find f, given that c(f) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-11))\/(26\/((-4004)\/294))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1129 - 16052417633.\nAnswer: -16052418762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 72, 106, 174, 288?\n\"Answer: 2*x**3 - x**2 + x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2274 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/144705 and 52\/465.\nAnswer: 4485855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1142854 and -13\/1634.\nAnswer: 21714226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 1. Let m(n) = n. Let u be 2 - -2 - (-3)\/(-1). Give u*d(x) + m(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/21)\/5*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7072?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 - 2. Let y(d) be the first derivative of -d**3\/3 - 7*d**2 - 6*d + 5. What is the remainder when y(-9) is divided by v(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**2 + 114*z - 151*z + (54 - 54 + 4*z)*(z + 5*z - 5*z) in the form i*z**2 + t*z + l and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + y**2 + 22*y - 6*y + 23. Let s be z(-24). Sort -5, -2, s, -35.\nAnswer: -35, -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {r: 1, x: 5, u: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/73))\/x*x)\/x*x)**(1\/16)*x**1\/(x\/(x**(-12)*x)) assuming x is positive.\nAnswer: x**(-12773\/1168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*z, -z = 5*q + 2*z. Calculate the least common multiple of 9 and q - (-1 + 4 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 25 + t + 19)*(2*t - t + 0*t).\nAnswer: t**2 - 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -915, -1807, -2653, -3429, -4111, -4675, -5097?\n\"Answer: 4*f**3 - f**2 - 917*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + 4*x**4 + 2*x**5 + (-3*x**2 - x**4 + 3*x**2)*(-6*x + x - x) - 5*x**5 + 2*x**5 + 0*x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/1412863 or 0?\nAnswer: -75\/1412863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d + 11*d + 15*d + 4. Is j(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (10 - 1) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/(-72)*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u - 14*u - 43 + 43.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.9 - -0.9. Let a = -26 - b. Let u = 9 + a. Put 0.2, u, 2\/5 in descending order.\nAnswer: 2\/5, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/92 + (-7140)\/(-5520).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 24.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3512 + 150323?\nAnswer: 143511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010001101101110 + 0?\nAnswer: 1010010001101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*y = 0, -5*d = -2*y + 136 - 122 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p + 1. Let u(o) = -7*o**2 + o - 9. Let d(q) = -6*l(q) - u(q). Let n = -390 + 385. Give d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/6*(-36)\/(-27) - (-12)\/(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**3 - 294026*i**2 + 57517*i + 59 wrt i.\nAnswer: 66*i - 588052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - l**2 + 7*l + 0*l**2.\nAnswer: -l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 8 = 3*s + 32*r, 3*r = -3*s + 27. Suppose 2*b + 3*i + 0 = -3, -5*i = -3*b + 24. Put b, s, 5, -4 in descending order.\nAnswer: 5, s, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.02 (c) 4 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 4:58 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*16\/200 + (-106)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-45)*(-3)\/5)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1054, 1039, 1034, 1045, 1078, 1139, 1234, 1369?\n\"Answer: k**3 - k**2 - 19*k + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 40*j**2 - 142*j - 28. Let d be (-2)\/((-16)\/(-6))*52. Is x(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.4, -0.5, 0.02, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/3 - (24\/9)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111 + 113)\/(7*8).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00161563 rounded to 5 decimal places?\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6696 = 12*u - 6744. Solve i + u*g + 17 - 33 = 0, 4*i + g = 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t - 2, 70 = 4*m - t. Suppose -5*u - 2 = -m. Suppose 21 = u*v - 15. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2372*d + 60590 + 31918 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2. Let s(k) = -2*k + 1007. What is t(s(d))?\nAnswer: -20*d**2 + 20140*d - 5070245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100118 = -13*i - 56246. Let q = -4917 - i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5*p - 4. Let i(z) = z. Give c(a) + 5*i(a).\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {h: 11, j: 1, m: 4, u: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = 3*a - o, -2*o = 3*a - 23. Let t(v) = 19*v**2 + 445*v + 446. Let b be t(-1). Solve -b = a*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - b**2 - 2 - 197*b - 5*b**4 + 198*b - 5*b**4 + 2*b**4 + 0*b**4 + (-2 + 2 + 1)*(2 - 3*b**4 - 2).\nAnswer: -11*b**4 - b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -5 + (-19 - -30) - (4 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:09 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 + 4*p + 3. Let v be y(4). Let i(h) = h**3 + 3*h**2 - 7*h - 6. Let w be i(-4). Let f(j) = j - 1. Let d be f(w). Solve -d*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 - 1092*u + 2594. Determine j(-275).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i + 6. Let q be b(0). Let m(p) = -p**2 + 8*p - 3. Let g be m(q). Let x(f) = -f**2 + 8*f + 11. Let w be x(g). Solve 1 = w*o - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/12 - 2*d**3\/3 - 2*d**2 - 14*d. Determine p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.31396 + 548.33504. Let u = 12.949 - t. What is u rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31815 at most 31813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1*1\/3). Let b(x) = 7*x + 14. Let i(t) = -7*t - 15. Let d(v) = l*b(v) + 2*i(v). Let m(s) = 8*s + 13. Let p(r) = 7*d(r) - 6*m(r). What is p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11)*18\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4099456 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - 265*o + 2806. Give b(11).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(3*sqrt(170) - sqrt(170)))\/(-3*sqrt(90)) + -2)*-4.\nAnswer: 8 + 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19461, -38927, -58407, -77907, -97433, -116991, -136587, -156227?\n\"Answer: -a**3 - a**2 - 19456*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -754, -1512, -2254, -2980, -3690?\n\"Answer: 8*i**2 - 782*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/5)\/y)\/y**14 assuming y is positive.\nAnswer: y**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 - 161 = 63*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*t = -37, -576*r + 573*r = 86*t + 359 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 120 = 42 + 132 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11279 - -19480. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143558 + 143558.5. Let k = -0.58 - -1.57. Let h = k - 1.1. Put -3, p, h in ascending order.\nAnswer: -3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/11 and 71\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 11*i + 19. Let f be (-30)\/8 - -2 - (-2)\/(-8). Let y(u) = u**2 - 4*u + 6. Let v(a) = f*s(a) + 7*y(a). Let o be v(-8). Is o at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -0 - 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24113 + 24109. Suppose 0 = 2*u - 2*t - 3*t + 39, 0 = -3*u + 2*t - 31. Put u, -5, k, 3 in increasing order.\nAnswer: u, -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 0, -161, -504, -1089?\n\"Answer: -10*v**3 - v**2 + 34*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 - 8*w**3)*(-16*w + 47*w + w).\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.132597 + -145.936403. Let b = n + 146. Round b to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*i**3 + 115*i**4 - 3*i**2 + 117*i**4 - 230*i**4 + 4*i + 4 to the form r*i**2 + v*i**3 + t*i**4 + h*i + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 1 + 12*s + 7*s - 3*s to the form l + i*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2) + (-3 - -3). Suppose -w - 2*m - 11 = -4, j = -5*w - 2*m - 3. What is the nearest to 1\/2 in -0.4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65679*i**4 - 58*i**3 - 10*i**2 + 239359574*i wrt i.\nAnswer: 788148*i**2 - 348*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.3 - 23.085. Let z = n - 2.215. What is the nearest to 0.3 in 5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341595239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13 + 20 + 14 - 9*g**2.\nAnswer: -9*g**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*v = -20, -3303 = 4*b + 4*v - 3319 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1. Suppose -5*o - 15*o - 44989 = -45029. Which is the second biggest value? (a) 2\/5 (b) o (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:49 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21644 greater than 21122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247914151?\nAnswer: 247914151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157820?\nAnswer: 2, 5, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -331321023 (base 4) in base 5?\nAnswer: -31103030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (610\/854)\/(3\/(-7)*-1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -632*u**2 - 198*u**2 - 670*u**2 + 0 + 0 + u**2 + 2*u - 2*u - u**2 + (-2*u**2 - 2*u + 2*u)*(1 + 0 + 0) to s*u**2 + q + b*u and give s.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 793.28322 to 0 dps.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 + 1884*j\/5 + 27872.\nAnswer: -4*(j - 536)*(j + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-33))\/(31443\/(-1692) + (19 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6529 - 6280. Do w and 246 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.04. Let t = h + -0.2. Let x = t - 0.3. Sort -4, 2\/5, x in decreasing order.\nAnswer: 2\/5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18732*k + 41 + 32 - 125 + 22 + 30)*(0*k**3 + 2*k**3 - k**3) to the form n + h*k**3 + d*k**4 + x*k + w*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 2*q = -2*q + 55161. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g - 16. Suppose 0*z + 4*z - 4 = 0. Is z + -1 + (107 - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1571103*r**3 + 829041*r**3 - 1417577*r**3.\nAnswer: -2159639*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3306.8 and 1.7?\nAnswer: 5621.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 131*w + 1060 = 0. Suppose -g + 6 + 6 = 0. What is the lowest common multiple of g and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25873411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**3\/3 - c**2\/3 + 4*c\/3 - 2. Solve d(g) = 0 for g.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - -36?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let q = i + 2. Suppose -q*s = -u + 14, -s + 94 = 3*u + 3*s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(847) + -1 + -3 + -3*(sqrt(847) + sqrt(847) + 3 + 2 + sqrt(847)))**2*2.\nAnswer: 4928*sqrt(7) + 108808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.88245g to milligrams.\nAnswer: 96882.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 189 = 549. Put 5, 0, k, -7 in decreasing order.\nAnswer: k, 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -3340\nAnswer: 3340.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 124*u**2\/3 + 224*u\/3 - 320.\nAnswer: 2*(u - 2)*(u + 4)*(u + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:20 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 7*t - 5. Let a be m(-2). Let v be (40\/56)\/((-4)\/(-7)) - (-154)\/(-392). Put v, 0, a, -1 in decreasing order.\nAnswer: a, v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j - 2. Give t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002297 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d - 125. Give r(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + t + 0)*(1 - 5 - 2) + 7*t + 9*t - 8*t to b*t + u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -315104*t + 4074*t**2 + 315104*t as x*t + i*t**2 + h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 - (-20 - (-7 + -1))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 4. Let w be i(3). Let t = -8 + 15. Suppose -v = -4 - 1. Solve -v*p + t = 2*y, p - y - 9 = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f = 5*w - 3315, 4*w + 1326 = 2*f. Let v be -4*(f\/(-12) + -1). Suppose 2*r + 71 = v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834589 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52 - 0.6. Let v be (5 + -3)\/((-2)\/(-279)). Let u = -1957\/7 + v. What is the nearest to 1 in h, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 32*i + 18. List the prime factors of (i\/(-4))\/(4*(-7)\/(-1344)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by 1.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -649, -1103, -1645, -2275?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.007 - 13.193. Let s = f + 13. Which is the third biggest value? (a) s (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-165)\/20 + (-2)\/(-8). Let b be (-2 - s)\/((-3)\/(-6)). Solve 3*u = -u + i + 20, 0 = 2*u - i - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*a = -3, 1413*a + 1410*a = 2828*a + 25 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3\/3 - l**2\/2 - 25*l - 413. What is m(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*g - 65*g - 44*g)*(-16*g - 4 + 17*g - 2).\nAnswer: -41*g**2 + 246*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 39. Determine d(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 662?\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - z = -3*z - 6, 5*h = 5*z + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76275 centuries in millennia?\nAnswer: 0.076275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/12 - z**3\/3 - z + 2. Let a(k) be the first derivative of w(k). Find the second derivative of a(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3) + (-1 - 1) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r - 2. Let h be m(-3). Let k = h + -6. Which is the third smallest value? (a) k (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 6:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4165978 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 12. Let i be (j\/5)\/(3\/(-10)). Suppose -4*o - 3*h + 34 = 0, 5*h + i = 5*o - 17. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 134235 = -w + 134102, 3*v = -5*w - 182 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43427566 to the power of 1\/2, to the nearest integer?\nAnswer: 6590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446\/10 + 2\/8*(-38116)\/3665.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544042016 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.48. Put d, 0.6, -4 in increasing order.\nAnswer: -4, d, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 10) + 4 + (-3 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 143*z\/2 + 142.\nAnswer: (z + 2)*(z + 284)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 21\/(-2)*(-336)\/196.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18184769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*3 + (4*sqrt(209)*-1 - sqrt(209)))\/((sqrt(99)*2 + sqrt(99))*-2 + sqrt(99) + sqrt(99) + sqrt(99) + -4*sqrt(99)*1).\nAnswer: 11*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-1)\/(-6)*-1)\/(368\/(-276))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14139, 28276, 42413, 56550?\n\"Answer: 14137*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 40*w**4 - 1050*w**3 - 2860*w**2 - 2755*w - 900 = 0 for w.\nAnswer: -9, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33929\/399 - 15 - (16\/6)\/(9500\/125)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-9))\/((-97572)\/2853981).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 9, w: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 92*r**2 + 716*r - 11194. What is n(-18)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 216 = -2*d, -110 = -4*d - 102. Calculate the highest common factor of c and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6149 + 6161. Which is the biggest value? (a) n (b) 2 (c) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 minus -0.12622464?\nAnswer: -62.87377536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16952)\/2184)\/163*12\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n - 125 = 0, 4*o + 3*n + 2*n - 169 = 0. Let f(l) = l**3 - l**2 - 2*l + 242. Calculate the remainder when f(0) is divided by o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25757*k**4*u - 30*k**2*u + 3241*u - 196 wrt k.\nAnswer: -103028*k**3*u - 60*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - r + 4 = 0, 2*f + 3 = 3*r + 5. Let o be (-19)\/(-114)*f*1\/2. Which is the second biggest value? (a) o (b) 3 (c) -0.05 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.1, -16 in increasing order.\nAnswer: -16, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 - 12513*d**3 - 13313046*d**2 - 550567872*d - 1047983616 = 0. Calculate d.\nAnswer: -2064, -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**8\/1344 + 3*d**6\/160 + 15*d**2\/2 + 23. Let h(m) be the second derivative of j(m). Factor h(k).\nAnswer: -k**3*(k - 3)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(54)\/sqrt(2)*-4)\/((sqrt(54) + sqrt(108)\/sqrt(2) + sqrt(54))\/sqrt(6)) - (-4*sqrt(48)\/sqrt(4))\/(sqrt(16)\/sqrt(4)*-6)))**2 + 2.\nAnswer: -8*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126648 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-9))\/((-2208)\/(-441) - 5). Let t be 24\/15*560\/m. Is 4 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99576, 199079, 298500, 397833, 497072?\nAnswer: 596211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1539 and 27.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 + (-1 - 1). Let h = -10 + -2. Let r = 14 + h. Sort -4, v, r in descending order.\nAnswer: r, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 - 6*m + 5. Let o be y(6). Suppose 2*q - 2*b = 362, 2*q - 334 = -0*b - o*b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -99643 (c) -0.2 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15015.3598 rounded to the nearest integer?\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by -637.\nAnswer: 513\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b**3 + 3*b**3 - 12*b**3 + (b + 1 - 1)*(0*b + 2*b**2 + 0*b).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -391 (c) -3 (d) 3\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - c - 11 = 0, -k + 8 - 1 = 4*c. What is the second derivative of -k*i + 2*i**2 - 5*i**2 - i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1623491 - -4792133. Let y = a + 2095358. What is y rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) -0.3 (c) 0.11 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 118, 206, 310, 436?\n\"Answer: o**3 - o**2 + 74*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*c**2 + 14*c**4 + 2*c - 45*c**2 - 7*c**4 + c**3 in the form i*c**4 + w*c**3 + r*c**2 + v + k*c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let v(g) = g**3 + 7*g**2 - 10*g - 11. Let c be v(-8). Let b be (c\/(-10))\/(2\/(-24)). What is the remainder when 33 is divided by 28\/b*18\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15987, -17452, -18917, -20382, -21847?\n\"Answer: -1465*d - 14522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5567, -8296, -12845, -19214, -27403, -37412, -49241?\n\"Answer: -910*m**2 + m - 4658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-90) + 4\/(-12) + 0. Which is the smallest value? (a) f (b) -1.1 (c) -0.1 (d) 38 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1312, -2, -5.\nAnswer: -1312, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 2)*(3 + 1 - 2)*(2*b + 2 - 2).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 8. Let u(d) = d. Let x(q) = t(q) - 6*u(q). Let o be x(-12). Solve -3*p = -12, -4*g = 5*p - o*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.0933 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.2. Let p = 9.1 - u. Let y = p + -9.29931. Round y to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*h + 12 = 0, 3*h - 1681 + 1673 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14369300 rounded to the nearest 10000?\nAnswer: 14370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 + 883595*n**2 + 2650740*n = 0.\nAnswer: -176716, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7682 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1 + 5\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3983*d**4*f - 18*d**4 - 4*d**3*f + 650*d**2*f - 15*d*f + 81 wrt d?\nAnswer: 95592*d*f - 432*d - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 806176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 11*p**6\/30 - p**5\/2 + 209*p**4\/12 + 226*p. What is the third derivative of d(r) wrt r?\nAnswer: 264*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2856)\/(-9))\/7*23\/460*-15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 26398.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/9 (b) 2\/93 (c) 5 (d) -1\/3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 435981 and 1.\nAnswer: 435981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.6 + 52. Let i = a - 4.28. Let z = i - -1.88. What is the closest to 0.1 in -1, z, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 66 - 74 = 0. Let t = 41 + z. Let w = -6 + t. Is -4\/9 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8313\nAnswer: -5\/8313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(684) - (-1*(sqrt(209)*-1 - sqrt(209)) + sqrt(209))\/sqrt(11))**2 + -2*(5*((sqrt(2299) - (sqrt(2299)*2 + sqrt(2299))) + -5))**2.\nAnswer: -460870 - 10982*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*m = 6*m - 2, 0 = -4*y + 5*m + 34. Let a be (4\/y)\/(6\/27). Suppose 0 = -3*v + a*u + 3, -2*u = -5*v + 23 - 6. Which is greater: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -201.\nAnswer: -98\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f = -30. Let t be 6\/2 - 7 - f. Let a = t - -16. What is the remainder when 14 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from fof.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 22. Let v be k(9). Let m be (-8)\/(-2)*2\/v. Let g(r) = 10*r - 52. Let u be g(6). Solve -m*b + 2 = -u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ies when three letters picked without replacement from {i: 2, d: 1, s: 1, b: 1, o: 1, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220306036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - 447?\nAnswer: -45f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -6, 7, 24, 45?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19560 - 19555. Sort 42, -2\/3, 1\/6, o, 2 in increasing order.\nAnswer: -2\/3, 1\/6, 2, o, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*51\/(2 - -1). Let x be 16*-1*k\/(-2). Suppose -m = 3*m - x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2689797, 2689760, 2689723?\n\"Answer: -37*x + 2689834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*c - 7449 = 0, -5*m + 18579 = -1286*c + 1288*c. What are the prime factors of m?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124614072853\/990 + -125872846. Let a = -503\/11 - r. What is the common denominator of 149\/12 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*u + 17, 5 = -3*d + 2*u + 3*u. Suppose -17 + d = -3*o, 2*t + 3*o = -1212. Let j = t + 1193. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -824956, -824955, -824954, -824953?\n\"Answer: f - 824957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23707610*i**4 - 3*i**3 - 66827722 wrt i.\nAnswer: -94830440*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3645) - sqrt(3645) - sqrt(3645) - sqrt(3645)) + sqrt(3645))\/((sqrt(81) - (sqrt(81) - -3*sqrt(81)))\/sqrt(9)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4171321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/(1127\/(-70)) - 1\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*i**4 + 40*i**4 - 59*i**4 + (-2*i**2 + 2*i**2 - 2*i**3)*(4*i - 3*i - 3*i) + (3 - 3 - 2*i**2)*((0*i**2 - i**2 - i**2)*(6 - 2 - 2) + 2*i**2 - 2 + 2).\nAnswer: 44*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(7\/54) + -8 + 2. Let j be (-20)\/(-6)*(-72)\/(-10). What is the highest common divisor of j and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 2. Let d be (2 - j\/(-12))*0. Suppose c + 3*z + 28 = d, 6*z - 2*z + 72 = -4*c. What is the common denominator of -15\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -265. Let s = -112 + x. Which is the closest to -2? (a) -2 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 3}. Give prob of sequence dd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24918 is divided by 112.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 1, i: 2, y: 1}. What is prob of sequence mie?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 9, s: 1, c: 6}. Give prob of sequence sq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/40)\/((-426)\/(-1136))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, y: 5}. What is prob of sequence bybb?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 6*sqrt(133)*3) + sqrt(133))\/sqrt(7) + -1 + 0 + sqrt(684) + sqrt(19).\nAnswer: -9*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/59814097?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -27?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1. Let r be ((-9)\/((-54)\/(-132)))\/(-2). Let t(o) = -1 + r*o - 10*o - 6 + 2. Determine 4*f(g) - t(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, c: 3, n: 2, r: 1}. Give prob of sequence hnh.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 80 - 5 = 0. Let c(d) = -d**3 + 16*d**2 - 15*d + 1. Let t be c(k). Let w(p) = -p**3 - 5*p**2 - p - 1. Let g be w(-5). Sort t, -3, g.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 378 + 58. Suppose 0 = w - 4*p - 92, 0 = 4*w - 3*p - p - t. Suppose 2*f = -3*v + 48, -2*v + 6*v = 4*f - w. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*j**2*k**3 - 10*j**2 - j wrt k.\nAnswer: -174*j**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x - 14. Let y be x\/(-2)*(-6)\/(-28). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.4, -31, 0.5, -4, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -387, -640, -893?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3498*x**2 + x**2 - 1 + 2 - 8*x.\nAnswer: -3497*x**2 - 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c\/(c\/c**(-7))))\/c)**(12\/13)\/((c\/c**(-2\/7))\/c*c*c**(-8)) assuming c is positive.\nAnswer: c**(1115\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69, -142, -227, -330, -457, -614, -807, -1042?\n\"Answer: -n**3 - 66*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 611 - 307. Calculate the greatest common factor of x and 684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 + 192. Let s = 24 + r. Let x = 141 - s. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (14 + 10 + -31)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 5*y**2 + 5*y**2)*(-4*y + 3*y + 2*y) + 8244 - 8244 - 2573*y**5 - 4*y**5 + 4*y**5 - y**5 + (-2*y**4 - 3*y**4 + 7*y**4)*(y + 2*y - 2*y).\nAnswer: -2571*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7 = f - 6*j, -f + 8 = j. Let x be (-3*20\/f)\/1. Let p be ((-104)\/(-30) + 384\/320)\/((-4)\/18). Does p = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 2*s**2 - 4*s. Let f(g) = -8*g**3 - 6*g**2 - 11*g. Suppose -17*k = -20*k + 33. Calculate k*q(m) - 4*f(m).\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127649300.\nAnswer: 2, 5, 29, 44017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3888)*1)\/(((sqrt(576)*6 - sqrt(576)) + sqrt(576) + sqrt(576))*-4)*-1.\nAnswer: 3*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -c01b (base 13) to base 5\nAnswer: -1321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1345 divided by 269\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14413960 is divided by 313?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5284330 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/33 - 159\/(-33). Suppose 4*i - 81 = -j*r, -5*r - 2 = -2*i + 1. What is the highest common factor of i and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/390*10179\/(-54)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = 1776*t - 1779*t, 0 = -4*t - 16 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 11*x = 350. Suppose 0 = 3*w - 68 - x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-360)*9)\/(206\/5768))\/(9\/120)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514 a factor of 4471587666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8 = -2*b + 28, 5*a + 3*b - 25 = 0. Suppose -7*w + a*w - 3*g = -4431, 0 = 4*w + g - 3549. What is the lowest common multiple of 6 and w?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*o**2*t - 4*o**2 + o*t + 155964 wrt o?\nAnswer: -366*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(12) - (sqrt(72)\/(sqrt(6) - (sqrt(6) + sqrt(150) + sqrt(6))) - sqrt(12)))\/sqrt(6))**2.\nAnswer: 52*sqrt(2)\/3 + 457\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -5*n**8\/336 + n**4\/6 - 2*n**2 + 29*n. What is the second derivative of w(y) wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.692 and -4.4.\nAnswer: -5.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 533, 888, 1313, 1832, 2469, 3248?\nAnswer: 4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*f + 11, -5*d + 30 = 2*f + 7. Solve o - 5*u = 16, 2*o - 11 = d*u + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41901 is divided by 378.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294369 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + z + 64 = -3*z, 2*z = -5*u + 98. Suppose d + u = 5*d. Suppose -133 = -5*r - 4*x, -d*r + 4*x = -77 - 80. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-30 + -33 + 41).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402 + -7.53.\nAnswer: -409.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 401*q - 1218. Give v(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -343*p + 350*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/2)\/(7\/(-1036)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/11*462\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -6.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 30 = 10*i. Suppose -2*b + y = -0*y - 3, -y - 9 = -i*b. Solve 0 = b*g - 5*q + 3, -3*g - 5*q + 8 = -0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -3, -5, 0, 1, 447 in descending order.\nAnswer: 447, 213, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 108. Let n = 55 + c. Suppose 0 = -0*u + 3*u - n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -1736.\nAnswer: -1736.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhtvvyyy. Give prob of sequence yh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610886802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iso when three letters picked without replacement from ssosssssisssasy?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpy when three letters picked without replacement from {x: 2, p: 2, b: 1, y: 7, k: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-335)\/15 + 8 - -11. What is the third smallest value in g, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286 divided by -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1 + 0 + -2)**2 + 2*((sqrt(50)*-1)\/sqrt(10) + -3)**2.\nAnswer: -24*sqrt(5) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 11*a - 2. Calculate o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696988 is divided by 2614?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -30\/23 (b) 0 (c) 29 (d) 302\/3 (e) 1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -84 + 50 - (1 + -5 + 7 + 11)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s + 71*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16490)\/(-136))\/97*(-1)\/(7\/(-4)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l - 3. Calculate t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*j + 946 + 1433 + 1603 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 11*v. Let b(o) = 3*o**2 + 4*o. Let g(x) = 11*b(x) - 4*m(x). Let f(y) = 29*y - 12*y - 18*y. Determine f(g(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose 5*p - 2*y - 468 = 0, -2*p = -5*p - a*y + 260. Does 18 divide 4\/(-10) + p\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o - 29. Let x be c(7). Suppose -x = 3*q - 494. What are the prime factors of q?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 79\/2 of a week?\nAnswer: 6636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 498453920*o + 363827282.\nAnswer: 498453920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -1.3553.\nAnswer: 0.081318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-51)*(18\/4)\/3. Suppose 5*c - 86473 = q - 561698, 950405 = m*q - c. Round q to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 141 = -23. Let n = -35 - b. Suppose 25 = 5*w + 5. Solve w*k - n + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 131 + 125 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1565080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 + 4*w. Let a be p(4). Suppose -y = -1, -5*o + o - 4*y + 76 = a. Calculate the lowest common multiple of o and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scw. What is prob of sequence ws?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 - u**2 - 4*u + 2. Let y(x) = 5*x**3 - x**2 - 4*x + 2. Let n(z) = 4*p(z) - 5*y(z). Let k be n(2). Sort -15, -3, k in descending order.\nAnswer: k, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4*g - 9. Let n be w(9). Let l be (-2804)\/(-26) - (-24)\/156. Suppose l = j + 5*j. What is the highest common factor of j and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 3*j + 59 - 30 - 24 - 4*j + 4*j + 2*j**2 + (5*j - 2*j - 5*j)*(-1 + 1 + 2*j) - 6*j**2 + 2*j**2 + 2*j**2 - 3*j**2 + 2*j**2 - j**2.\nAnswer: -3*j**2 - 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y + 4*y - 2*y**2 + 0*y**3. Calculate the lowest common multiple of 7 and r(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 105*i - 8. Let w(y) = -82*y + 8. Give 6*w(q) + 5*z(q).\nAnswer: 33*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/3 - g**2\/2 - 2*g + 1. Let b be a(-2). Put 0, 4, b, -1 in increasing order.\nAnswer: b, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44430 - ((-2)\/7*-7 + -8). Suppose 36*p = -12108 + l. List the prime factors of p.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69 and 2.799541 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/374422 and -37\/18.\nAnswer: 3369798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - -200034233?\nAnswer: 200034343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = -35. Let d = -309 + 323. Let o = d + r. Solve 0 = -o*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + -2) - (3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 203604.\nAnswer: 6311724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(8\/(-36)*-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-1)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 - 13*f - 21. What is y(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1 - sqrt(288))*6*-4*5.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78222 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202 or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4724 = v - 3*f, 6*v - 7*v - 4*f + 4696 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146980 or 2204722\/15?\nAnswer: 2204722\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-60)*6\/3*(-33)\/(-22)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y + 2. Let r(c) = -413*c**2. What is r(g(l))?\nAnswer: -218477*l**2 - 37996*l - 1652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10 = 3*u + 2*u, 0 = -3*c - u + 2. Find the third derivative of -172*m**c + 336*m**2 - 174*m**2 + 11*m**6 wrt m.\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 12*x - 160.\nAnswer: 4*(x - 8)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/(-22))\/((-2)\/(-4)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Suppose 20 + 5 = i*p - 5*t, 9 = -3*p - 5*t. Solve p*j = -s - 2, -5*s + 4*j - 6 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287973*l**2 + 2*l + 691058.\nAnswer: 575946*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 + 255*l**4 - 4330*l**3 + 24310*l**2 + 4335*l - 24565.\nAnswer: -5*(l - 17)**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 12*g + 185. Suppose 57 = 5*x - 2*o, -5*x + o + 24 = -g. Let l = 13 - x. Solve -t = -c + 4, -t + l*t = -3*c + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548782639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3114.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -26 + 42 + -22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -182. Let o = t - -597\/5. What is the closest to -2 in 0.2, -1\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r - 39. Let b be s(-9). Let i = b + 113. Solve -o = -i*z - 1 - 2, 2*o = -3*z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/87 in 0, -1, 0.6, 1\/14, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 - -163. Suppose 6*n = -l*n + 200. What is the highest common factor of 620 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 18. Let l be 0\/((0 - 1)*1). Suppose l = j*c - 69. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 8. Calculate d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29920)\/3536 + (-8)\/(-1))*7\/(-14).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-7))\/4 + (-12)\/(-21). Suppose -37*b + 3*b = y. Let d(j) = 2*j - j - 2*j + 1. What is d(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 5*g**2 - 8*g - 7. Suppose 4*k = -5*h + 27, -2*k + 4*h = 3*h - 3. Suppose k*u + 15 = 0, v - 2*u - 2 = 2. Determine w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2883671 times 4\nAnswer: 11534684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -18*b**2 - 5*b + 2. Let g be f(4). Let z = -218 - g. Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3789\/19, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008644436.\nAnswer: 2, 3, 857, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -64*c - 16. Let l(f) = f. Determine b(l(d)).\nAnswer: -64*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -106. Calculate the highest common divisor of 405 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/(6\/(-6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12 - 4\/(192\/(-152)). Suppose -3*m + 1 + 2 = 0, -2*m = -4*x - 10. Let o be (60\/9 + x)*(-18)\/(-21). Solve g*k + o*b = 4, k = 2*k - b - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/6)\/70)\/((32\/20)\/(-4)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4182.2 + -4182.6. Let f = 271\/5 + -55. What is the biggest value in f, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times 0.09?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 20980*t**2 - 20977*t**2 + 6 + 8.\nAnswer: 3*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20439 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64\/15 + -18\/5. Sort -1\/8, 0.2, h, -0.1 in decreasing order.\nAnswer: h, 0.2, -0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7180000 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -413*y**3 + 421*y**2 + 371*y - 375. Calculate g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31197404 or 155987027\/5?\nAnswer: 31197404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 1\/10 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*b**4 + 537*b**2 - 185*b**5 + 134*b**3 - 612 + 395*b**5 + 307*b**3 - 207*b**5 - 444*b = 0 for b.\nAnswer: -17, -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = v + 24, 4*j - 8 - 40 = 4*v. Let m be 12\/v + (-582)\/(-4). Let q be ((-216)\/15)\/((-128)\/320). What is the highest common divisor of q and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iriffffffrffrrfirir. Give prob of sequence rff.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 88*f**2 - 12590*f + 904. What is w(143)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1230 and 10710.\nAnswer: 439110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 11*u**2 - 13*u + 2. Let s(q) = 26*q + 160. Let f be s(-6). Suppose 0 = -5*o - f*v - 44, -3*v = -o - 2*v - 16. Give z(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.84 - 1.15. Which is the second biggest value? (a) -0.3 (b) s (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 4*k**2 + k - 2. Let p(l) = -16*l**3 + 17*l**2 + 5*l - 9. Let a = 1717 + -1726. Give a*v(q) + 2*p(q).\nAnswer: 4*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5, x: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*-91436.\nAnswer: -402318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198208 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + -8 + 2331\/98)*-21. Suppose 18 - f*b**2 + 6*b - 3\/2*b**3 = 0. Calculate b.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 21*b**2 + 96*b + 565. Does 6 divide a(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -45. Suppose o = -2*c + 3*r + 23, -c - 3*c + 5*r = -41. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 106626944*i + 106626944*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbbbbdbdbddbbbdbdh. Give prob of sequence dh.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/4)\/(390\/(-20)))\/(2\/4).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 2*v + 1\/30*v**5 + 0*v**4. Factor n(l).\nAnswer: 2*l**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5034, -5030, -5030, -5034, -5042, -5054, -5070?\nAnswer: -5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*x + 1325*x - 501*x - 299*x - 311*x.\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -108359.043 to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044784126 rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*j**2 - 1354945 - 1354937 + 2709881.\nAnswer: -439*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422569582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 27*j - 25*j. Let h = j + -40. Let o be (-2)\/h - (0 + -6)\/3. Solve -v - o*v = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 303\/6 + 3\/6. Suppose 0*j = 4*j + g - 107, 2*j - i = -g. What is the remainder when j is divided by -2 - (1 - (19 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1.26 (c) 2\/11 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 31 = -32 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(1 + sqrt(320)) + sqrt(320) - 5*(sqrt(320) - sqrt(320)*2 - sqrt(320)))**2.\nAnswer: -160*sqrt(5) + 31999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/30 - 3*t**4\/2 - 27*t**3 + 14*t**2. Factor x(n).\nAnswer: -2*(n + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 38. Solve 2*o - 2 = 2*t, 0 = t + 3*o - 2*o + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/2*(2 - 4). Let g(t) = -6*t**2 + 3*t. Give g(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1*(-3)\/6). Let d(c) = c**3 + 3*c**2 + 2*c + 1. Let j be d(w). Let i be j*(-50 + -4)*-2. Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let j(o) = 2*o**2 + 51*o - 3. Let w(g) = 6*g**2 + 152*g - 8. Let z(k) = -8*j(k) + 3*w(k). What is z(b(h))?\nAnswer: 8*h**2 - 96*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + i - 32, 4*i = i + 6. Let y(u) = -m*u + 4*u + u + 2*u. Let o(x) = -x + 1. Let f(h) = -3*h - 1. Let z(k) = -f(k) - o(k). Calculate z(y(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6179 - -6181. Solve x*n - 6*n - 5*o + 8 = 0, -o = -n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -29*f**2 + 20*f**2 + f**3 + 19*f**2 - 4*f + 28*f = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42589 is divided by 68.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541534174?\nAnswer: 2, 8963, 253349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*c - c = 4, 0 = -3*r - 2*c - 3. Suppose p - r = 15. Suppose 4*w = -0*w - p, 5*i - w = 449. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -40) + -7 + (-7 - -6 - 7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/49*6\/(-1)*(-2)\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t, 0*h + 5*h + t = -7. Sort -3, -5, h in increasing order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -5, 7 in descending order.\nAnswer: 7, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*p + 43*l + 154 = -155*p, 0 = -3*l + l - 8 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 - 535*d**2 - d + 7443 wrt d?\nAnswer: 3*d**2 - 1070*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/2)*r)\/r**(3\/5)*r**(2\/11)\/r**(-3\/7))\/(((r\/(r\/(r*r*r*(r**(-4)*r)\/r)))\/r*r**(-1\/8))\/(r*r*r**(-1\/3))**(-10)) assuming r is positive.\nAnswer: r**(-129649\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81.3 + 81. What is the nearest to -1 in m, 4, 0.09?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -10 - (-6 - -48) - (-1 + 1 - 30)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7721 = -3*c - j + 10861, 2*j + 24786 = 4*c. List the prime factors of c.\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1. Suppose 5*v + 18 + 22 = 5*s, 3*v = -3*s. Let k be t(v). Suppose -28 = 10*w - 24*w. Solve k*b - w = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 27 + 0*p**2 - 28*p**3 - 1\/5*p**5 + 0*p + p**4. Find the third derivative of g(h) wrt h.\nAnswer: -24*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1897\/9 - -211. Let y = -25 + 24.964. Let d = y - 0.064. What is the closest to d in -2, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -58771?\nAnswer: 58774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + 1 + 154\/42. Suppose 2*g + 2*g - 8416 = m*w, -5*g + 10485 = 2*w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9546 + n + 3*n + 2*n**3 - 9547 to the form l + m*n + c*n**2 + z*n**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10526.9 to the nearest 10.\nAnswer: -10530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76.72 - -53.09. Let j = s - -24.5. What is j rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, 131, -12 in decreasing order.\nAnswer: 333, 131, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**4 + 21616*s**3 + 58363184*s**2\/3 - 77904064*s\/3 + 25977632\/3.\nAnswer: 2*(s + 1802)**2*(3*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 407 - 393. Suppose -5*g - s = -2*m, -5*m = -0*m - 2*g + 7. Is m greater than or equal to 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76862.1*-0.036.\nAnswer: 2767.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 6, d: 1}. What is prob of sequence fd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5 - 80*d**4 - 5*d**3\/3 + 160*d**2 - 2055. Determine u, given that r(u) = 0.\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/224 and 39\/10.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.92 - 3.3. Let l = t - 0.7. Let q = l - -0.066. What is q rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bf7 - -2209?\nAnswer: 4e00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwwwiwwiwwwwiwi. Give prob of sequence ii.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:10 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(47 - 969*c - 30 - 17).\nAnswer: -969*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*i - 243232 = 0, -43028 = -3*r + 4*i + 102917. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95384280 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 15*g - 79*a + 1501, 4*g - 14 = -a + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1750 + -1180. Suppose 9*v = 240 + s. Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76269017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34 + -29)*596\/10. Suppose 0*o = 5*o + 2*j - l, -5*o = -5*j - 305. Suppose 0 = 3*y + f - 104, 0 = 5*y - 4*f - o - 136. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyykpzppozpppyy. What is prob of picking 2 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/9 - 248*x**4\/9 - 412*x**3\/9 + 20848*x**2\/9 - 75190*x\/9 + 55000\/9 = 0. What is x?\nAnswer: -11, 1, 4, 5, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -13 (b) -2\/61 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-129)\/2*20\/15. Let v = 404 - 306. Let b = v + u. Solve 4 = -4*z + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**3\/3 + b**2\/2 + 261*b. Give w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (60\/25)\/(7\/(-3 - -17853))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-48) - ((-60)\/(-9) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 23*s - 2*s + 0 - 6 - 5. Let b(w) = -10*w + 5. Let k(c) = -13*b(c) - 6*v(c). Give k(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12428 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 51 = -5*q, 0 = q - 6*q - t + 56. Suppose 5*s - q = 4. Calculate the least common multiple of 18 and (-4)\/s*(-5 - 1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 18*r**2 - 38*r - 6. Calculate k(-5).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1478, 0.07, -14?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 12960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420352 (base 8) to base 3.\nAnswer: 21002100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*j - 937 = -2089 - 1255 - 843 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0091014 rounded to 4 decimal places?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.03 (b) -14 (c) 2\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 - 30453208*o + 60906400 = 0. Calculate o.\nAnswer: 2, 7613300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 46*l + 1821. What is the remainder when 163 is divided by j(25)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123265038 and 6.\nAnswer: 123265038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 18. Let c = a - 7. Let q(v) = -v**2 - 8*v - 5. Let x be q(-7). What is the highest common factor of c and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) - (sqrt(2904) + (sqrt(2904)*-2 - sqrt(2904)) + sqrt(2904) + sqrt(2904)))\/(sqrt(288)*2 + sqrt(288) - sqrt(8)).\nAnswer: 11*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167542?\nAnswer: 2, 19, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -187*j - 11. Let n be t(-2). Suppose 15*d - n = 4*d. Let x = 35 - d. Solve 4*h - 4*s - x = 2, -2*h + s + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, b: 12}. Give prob of sequence bjbb.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 4 - sqrt(1539)) + 1 - (sqrt(1539) + -2 + -2 + sqrt(1539)))**2 + -1*(2*(-1 + -1*sqrt(1539)))**2.\nAnswer: -396*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9572507.\nAnswer: 7, 1367501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l. Let f(a) be the second derivative of -5*a**3\/3 + 18*a. What is -4*c(s) + 9*f(s)?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - 1*sqrt(102)*3) - (sqrt(102) + 2*sqrt(102))*1)\/((sqrt(36)\/sqrt(18))\/sqrt(3)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1.085902 (c) 2\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2599.6 - 2600. What is the closest to -1 in o, 1\/5, 36, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/165 and -80\/561?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**2 - 37*c**3 + 36*c**2 + 33*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 12 (c) -0.1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -11 - 4. Suppose -c = 4*k - 2 - 12, t*c + 4*k = 134. Suppose 2*h - 164 + c = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/18)\/(-3*(-6)\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27) - 35\/126.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -28*x**4\/3 + 2*x - 1219. Let f(g) = -13*g. Calculate f(i(s)).\nAnswer: 1456*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10374 and 163891?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -152 (b) 0.5 (c) 0.4 (d) -4\/9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(24\/(-9) - -3). Suppose -3*k + 4*n = 2*k - 41, 3*n + 2 = -r*k. Is 3 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/9)\/(22\/((-1254)\/(-95)))*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 8. Let d be k(-6). Let h be d\/14 + (-2)\/(-7). Let n(r) = -r + 7. Let c be n(-5). Solve b = -3*m - c, 2*m + 4*b - h + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267434165579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.085?\nAnswer: 0.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18631 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let r(j) = -8*j**3 - 2*j**2 - 2. Let v be r(c). Let y = v - 24. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.58 - 0.22. Let q = y + 4. Which is the nearest to q? (a) 0 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2787? (a) -3 (b) 4 (c) 0.4083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2932924 to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:54 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-2 + (4 - 3))) + 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + 4 - 2) + 0. Let h = -5 - w. Calculate the common denominator of (-2)\/1 + (-420)\/h and -107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64 - -38c0?\nAnswer: 385a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -4. Let w be a\/8 - (-1)\/4. What is the derivative of 0*d**2 - d**2 + w + 0 wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3 - f**2 + 3) - 23119*f + 23051*f - f**2 - 8*f**2.\nAnswer: -8*f**2 - 68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5524 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-39)\/182*(-40)\/(-18)*84\/(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qoqoqqo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1135 = -7*q. Let j = -5539 + 5585. What is the remainder when q is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -122, -276, -492, -770, -1110?\n\"Answer: -31*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (7 + 5 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rht. What is prob of picking 1 r and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + 168\/(-40))*(-5070)\/(-4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1 + (7 - 0). Find the second derivative of g - 2*g**5 + p*g**5 + g**5 wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let y = u + -0.5. Let x = 1303.9 - 1301.9. Sort -3\/2, -0.5, x, y.\nAnswer: -3\/2, -0.5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31024 is divided by 11106?\nAnswer: 8812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in -0.7, -36, 235?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.4, 4\/3, -10, -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.13, 1\/310, 0.3.\nAnswer: 1\/310, 0.13, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2739283 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-378))\/((-4)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8341.\nAnswer: 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3464 + -3448. Solve -11 = -3*u - 4*f - n, -4*f = 5*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-78)*(-1477)\/16247?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23890935 divided by 15\nAnswer: 1592729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -24*i + 16*i. Let q(r) = i*r - 15*r + 15*r. Let z(a) = 26*a**2. Give q(z(l)).\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/12, 9, -18, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124151? (a) -4 (b) 1\/7 (c) -2.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14546*t + 14566*t = -100 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*s + 97. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 - 3*i + 4*i + 3*i**4 - 3 + 8*i**3 + 2*i**2 in the form f*i + r*i**3 + p*i**4 + n + k*i**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -10. Suppose x - 22 = -d*x - 5*t, 5*t = 2*x + 4. Suppose -o - 3*h + 63 = 2*o, 0 = x*o + 4*h - 67. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/3 - 1499224*k**2\/3 - 2998436*k\/3 - 1499216\/3.\nAnswer: -4*(k + 1)**2*(k + 374804)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = g + 4*n - 47, 0 = -2*g - 3*n + 69. Suppose 3*s + 6 = b - 6, 2*b - 3*s - g = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115566?\nAnswer: 2, 3, 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -121, -177, -239, -307?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:25 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 11. Let i = 9 - 6. Let a(q) = 3*q. Let r(l) = 10*l - 1. Let w(m) = -14*a(m) + 4*r(m). Calculate i*c(p) - 8*w(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1686 = -1694 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1098 - 0.000023?\nAnswer: -0.109823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/120 - 7*a**5\/60 + a**4\/6 + 5*a**3\/6 - 39*a**2. Calculate x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2063 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:27 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 365 = -5*s, -4*f - 25 = f. Let p be (-16)\/s - (-14)\/(-70). Let y = -2 + 1.9. Which is the closest to 0? (a) p (b) y (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 84 = -5*n. Let m = -12 - n. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282799, 565598, 848399, 1131202, 1414007, 1696814?\nAnswer: 1979623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18699, -37413, -56127, -74841?\nAnswer: -93555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36387805 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 17*j - 81*j**2 + 4 + 28*j**2 + 41*j**2 - j**3 - 4*j. Let y be 1*-13*(-2 - -3). Let t be x(y). Solve -3*k = -t*i - 23, -5*k + 6 = -2*i - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/374 and ((-3064)\/6528 - -1) + 8\/(-48).\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*g + 244*g = 20. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u - 5. Let f(w) = -w**3 - 7*w**2 + 7*w - 3. Let z be f(-8). What is c(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 4, d: 10, b: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 15) in base 10?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 10. Let f = 26 - a. Solve f*m + 3*z - 12 = 0, m - z + 4 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 <= -32628\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 4*h + 23 = 0, 3*x - 19*h = -16*h - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 4*j**2 - 5. Let f be i(4). Let w be f\/7 - -1*1. Put w, 0.3, -0.3 in descending order.\nAnswer: 0.3, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.130962 * -18.\nAnswer: 20.357316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08727 - 0.0872710499. What is z rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*m*u**4 + 909*m*u**3 - 10*m*u**2 + 3*m*u - 6*u**2 - 61 wrt u.\nAnswer: -1224*m*u + 5454*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 + -3 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16. Let u be w\/(((-65)\/2910)\/(-13)). Suppose 0 = 9*p - 7*p - u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14574, 28593, 42050, 54945, 67278, 79049?\n\"Answer: -281*b**2 + 14862*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 4. Let k(z) = -1. Let t(b) = k(b) - p(b). Let s(x) = -4*x + 7. Determine -3*s(u) + 7*t(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 - 2*r - 1. Let b be 34\/(-10)*1 - 2\/(-5). Calculate y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j**2 - 5 + 23 - 2*j**2 - 23*j**2 wrt j?\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((38\/133)\/(40\/(-14))). Calculate the highest common divisor of 130 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Suppose -p + o = -2*n + 4, -5*p - n = 1. Let y(w) = 2*w**2 - w. Let j be y(p). Is 8 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 3*l. Let m be k(4). Suppose -p = -5*v - 95, -v - m*v = -5*p + 535. Calculate the greatest common divisor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 33*j**2 + 13*j - 29. Determine u(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95547459 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398326 minus 85.6218724?\nAnswer: 398240.3781276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 42*q - 147. Let s be z(4). Is -3*(4 + (-29491)\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*w - 230*w + 73*w as z + s*w and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + 18\/(-22). Let d be 1\/n - (-18)\/(-2). Let m(s) = s**2 - 6*s - 3. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*x + 4492 = 0, -7*m - 3*x - 1123 = -8*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.99 rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 429*v - 14903. What is s(38)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -52*i**2 + 11082*i - 11081. Calculate y(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 x when four letters picked without replacement from iwqbxbxxx?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485909616 - -0.1?\nAnswer: 485909616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfffkfffkikf. What is prob of sequence ikk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 99785191?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(17\/(-14) - (-8)\/(-28)). Suppose 4*i - 92 = m*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 6*h + 25. Let x be g(7). Let p be -20*10\/x*1*2. Solve 4*a - p = -17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.74 + 1.24. Let u = j - -10.4789. Round u to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, -9.\nAnswer: -9, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 2. Let w(q) be the first derivative of -1 + 6 + q - 2 + 2. Let u(l) = m(l) + 2*w(l). Let p(n) = 3*n**2. Determine u(p(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900 divided by -50?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.29665 to two decimal places.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 7*l**2 - 8*l + 4. Let b be v(-8). Let i(p) = -2*p**2 + 27*p + 25. Calculate the remainder when 1932\/98 + b\/14 is divided by i(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1)\/(516\/28055694) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149 - -174. Solve -j = -36*x + 41*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/741 greater than -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-178)\/4 + 5 + (-110)\/20. Let w be l\/(-10) - (-11)\/(-22). Solve -2*a + 2 - w = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -22. Suppose -126 = -5*d + 2*i, 2*d + 3*i = 54 - b. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1370?\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2800 and 13300?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 + 2. Calculate the remainder when 26 is divided by y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*w**3 - 343*w - 12*w**2 + 672*w - 325*w to the form t + z*w**2 + c*w**3 + s*w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:22 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137778?\nAnswer: 2, 3, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 62 - 211\/(-45))\/(7*(-15)\/945)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32599920712 and 0.3506?\nAnswer: 32599920712.3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28036, -56070, -84104, -112138, -140172, -168206?\n\"Answer: -28034*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(105)\/(sqrt(5) + sqrt(80)))\/sqrt(3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uquqquuqqqqum. Give prob of sequence uuq.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, 2, -1, -5, 0 in decreasing order.\nAnswer: 2, 0, -1, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21737158.\nAnswer: 2, 683, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8079 = 185802\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-72)\/(-4)))\/((-2)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70048 is divided by 206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose -33 = -y*c - 13. Let r(m) = 39*m. Let v be r(0). Solve v*o + 2*l = 3*o + c, -23 = 5*o + 3*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9842.79709 to the nearest integer.\nAnswer: 9843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012 a factor of 258438636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28658*h**2*p**3 + 6948*h**2*p - 92*h**2 + 2*p**3 wrt p.\nAnswer: -171948*h**2*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 = d, 2*d - 3*b + 11 = -2*b. Let p = d + 12. Calculate the highest common factor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from tduxxuuunuuquuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72605337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d9a63 - -2?\nAnswer: -d9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6*81\/(-24))\/((-9)\/48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/117?\nAnswer: -7\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16667972, -16667968, -16667962, -16667954, -16667944, -16667932, -16667918?\nAnswer: -16667902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 - 2 = 0, 0 = 5*x + g. Which is bigger: -4\/63 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 392697.494301 and -0.01.\nAnswer: 392697.484301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a - 2. Let m(x) = 4*x + 1. Let f(d) = 5*g(d) + 6*m(d). Let t(p) = -3*p + 3. Let n be (1\/((-20)\/(-56)))\/(4\/(-10)). Determine n*t(o) - 5*f(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:15 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (2 - 1) - -1) + 66 + -68?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355386 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 2*j - 3*j + 169 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.06011 * -0.0662\nAnswer: 0.003979282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 25*r + 85 = 0. Let d = r + -83. Find the third derivative of 12*s**2 + 11*s**2 - 36*s**2 + 22*s**d - 23*s**5 wrt s.\nAnswer: -1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20512428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1551313 rounded to three decimal places?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.6 + 15.599999426. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**3\/3 - c**2\/2 - c. Let b be d(2). Suppose 2*o - b*o + 4 = 0. Solve 4*w - 4 = 0, 0*w = v - w + o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 1. Let y be a(1). What is the second smallest value in y, -1\/8, 5, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 1\/2, -3\/7, 0.1, 1 in descending order.\nAnswer: 1, 1\/2, 0.1, -2\/27, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8128)\/(-483616)*68\/(-32).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:52 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 3. Let a = -60 - v. Let u = a + 24.35. What is u rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/8)\/((-87)\/1740). Factor -42 - 12 + 18*h**2 + 112 + 192 - 13*h**2 - s*h.\nAnswer: 5*(h - 25)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2 + -1)*2. Suppose 1 + s = 2*b, 2*l = 4*b. Differentiate -3 + 2*v**l - 4*v**4 + 1 + 0*v**4 with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497002 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282372 (base 9) to base 16.\nAnswer: 2a140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + f + 0*f - 9 + f. Let t(o) = o**3 + 10*o**2 + 8*o - 18. Let i be t(-9). Let c be k(i). Solve 0 = -4*a - 2*m + 26, c = 2*a + 2*m - 6 - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14815.0067614 - 14815. Round v to 4 decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 361769*g**2 - 112017 wrt g?\nAnswer: 723538*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -42. Suppose j*m - 30 = -12. What is the greatest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i. Let f be y(6). Let h = f - 28. What are the prime factors of (1 - h)*(-19 - 12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2968809\/313 + 9485. Let r = o + 9727\/1878. Find the common denominator of r and -107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4690 + 10343. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - q - 23, -8 = -5*t - 4*q - 0*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982962629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 2*f - 7*f, -4*f = x + 18. Let r be 3*8\/(-6) - f. Solve r = 5*b - 2 + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -85 (b) -0.1 (c) -41395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188069 and 58128?\nAnswer: 1561724976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -545.8 * 0.5.\nAnswer: -272.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 3*a**2)*(2*a + a - 2*a)*(8 - 4 + 2)*(a**2 + 2*a**2 + 0*a**2) + a**5 + 2 - 2 + (-1 + 4 - 1)*(-2*a**5 - 3*a**5 + 3*a**5).\nAnswer: -57*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i*(i\/i**(-27))\/i)\/i*i)\/i)\/i**(25\/3)*i*i**11*i*i\/(((i\/(i\/i**(-10)))\/i)\/i*i*i) assuming i is positive.\nAnswer: i**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37981 = 5*l + 30*m - 28*m, 4*l = -2*m - 30386. What is l rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 - 20*r**3 - 612*r**2 + 4212*r = 0.\nAnswer: -13, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 38*y - 42*y + 86*y.\nAnswer: -3*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*2*6 - (2*sqrt(561))\/sqrt(11))\/(-1*sqrt(48) - sqrt(3) - (sqrt(3) - (sqrt(3) + 2*sqrt(3))*-4)).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -4 (b) 3\/7 (c) 1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:14 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*554207.49.\nAnswer: -13300979.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - i - 66 = 2*i, 0 = o + 3*i - 6. What is the remainder when (3 - 3) + -1 - -46 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 28. Calculate s(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -22*w**2 + 7*w - 7. Let z(a) = -11*a**2 + 4*a - 4. Let s(j) = -4*o(j) + 7*z(j). Let t(v) = -15*v + 12*v + 2*v. Calculate t(s(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let v(f) = f + 9. Let t be v(6). Suppose k*q - t = -q. What is the highest common divisor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -11. Let s be 24\/60 + (-53)\/(-5). Factor 13 + b*v - s - 18 - 4*v**2 + 11*v.\nAnswer: -4*(v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**2\/2 - 31103*d\/4 + 1555\/2.\nAnswer: (3*d - 3110)*(10*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/138 and -13\/10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 12*v - 28. Let w be (28\/5)\/(4*1\/10). Let r be a(w). Suppose r = 4*q - 595 - 45. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3490291 greater than or equal to -3490296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 23. Let u be y(-11). Let k be (-3 - -2) + 49*u. Suppose k = 5*o - 3*o. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 2)*(3*k + 0*k - 2*k) + 8 - 8 + 24*k)*(4 - 2 - 1) to f*k + c and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 5 (b) 0.33 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120046907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, b: 6, a: 2}. Give prob of picking 1 b and 2 w.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55366.227 rounded to the nearest 100?\nAnswer: 55400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 752 - 395. Let g = 502 + v. List the prime factors of g.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (16\/(-4))\/(-4). Let h be 48\/1 - (i + 4). Let w be h\/(-10)*4\/(-6). Solve -c + q + w = 5, -4*q + 11 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*r = 4*r - 164, 164 = -g - r. Let q = -54 - g. Calculate the greatest common factor of q and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 21 = -27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302679 is divided by 15066?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d*d**(-1\/10))**(-1\/40) assuming d is positive.\nAnswer: d**(-1\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*z + 494 = 9*g, -z = 2*g - 198. Suppose -2*x - f = -161, 2*f + g = x + 32. Calculate the highest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 + 332*w - 332*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1714 + 1726. Solve 4 = -c*w + 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4207, 26, -2 in ascending order.\nAnswer: -2, 5, 26, 4207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 25. Solve -f = -s - 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/8 + 261312*m - 6271461\/8.\nAnswer: -3*(m - 696829)*(m - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 64*x**3 + 2*x**2 - x. Let h be q(1). Let m = -43 + h. Suppose -105 = 19*f - m*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59580 = -5*y + 6925. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30*10*2\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 7*d**5\/5 + 3*d**2 - 6. What is the second derivative of h(w) wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/(-46)*4\/(-6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 + l + 1. Let v be (-4)\/(-6)*(-39)\/(-13). Calculate the remainder when h(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k + 2289 = -6829 + 2278 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093307 is divided by 364432.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*v - 574542 + 2224545 = 0, -b = 5*v + 549995. What is b rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -509 (c) 0.094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 17290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/3*2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -11 - 13. Let b(z) = -5*z**2 - 9*z + 41. Let x be b(2). Put k, x, -5 in increasing order.\nAnswer: k, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*k + 354*k - 13115 - 22933 = 743*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/10)\/((-687)\/228 - -3). Let y = u + 45. What is the greatest common divisor of y and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32537 is divided by 374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235863*a*p - 376293*p wrt a?\nAnswer: -235863*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4632 less than -9214414?\nAnswer: -9214414.4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 6010*h + 17985 = 0.\nAnswer: 3, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b - 1. Let k be l(4). Suppose 45 - k = 10*j. Let p(v) = -2*v**2 + 4*v - 2. Let a be p(2). Sort 11, j, a in decreasing order.\nAnswer: 11, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*f + 18, -4*f + 3*w - 2*w = 27. Let r(m) = 2*m - 2 - 2*m - m. Let y be r(f). Solve y*u - 8 = 0, -2*g + 0*u = 2*u + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 19*z**2 - 19*z - 5. Let r be l(-18). Suppose r = 4*p - 7. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 - 2*l + 9. Let f be d(-8). Calculate the remainder when (f*-2)\/(0 - 1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -5*k**3\/6 + 5*k + 4. Let s(i) be the first derivative of n(i). Let a(o) = -2*o**2. What is s(a(w))?\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 2 (b) -0.1 (c) -0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 59*z**3 - 8*z**2 - 4*z - 6. Let o(g) = 117*g**3 - 18*g**2 - 9*g - 12. Let f(l) = -9*d(l) + 4*o(l). Find the first derivative of f(n) wrt n.\nAnswer: -189*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5401*f - 103. What is o(0)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -n - 2, 6 = 3*n. Let c(m) = -15*m + 174. Let y(h) = 7*h - 87. Let l(g) = -6*c(g) - 13*y(g). Is l(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1616 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + w + 0 + (4*w + 0*w - 2*w)*(-1 + 1 + 1) - 1 - w + 1 + 0*w - 3*w + 4*w - 227 + 9*w + 118 + 112.\nAnswer: 12*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 + 52*c - 222. Let d be x(8). Solve 0 = 2*a + l - 10, l + 10 = d*a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9521513 is divided by 239?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2433151*r**4 + 8471971?\nAnswer: -9732604*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 0, 2*j = -0*w + 5*w - 54. Suppose 0 = -0*z + 10*z + 180. Is z less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -10\/7 (b) -1\/3 (c) 0.3 (d) 368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 112. Let f = -58 - w. Which is the biggest value? (a) 0.6 (b) f (c) 2\/7 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 21\/(-6))*2\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1222, 1103 in descending order.\nAnswer: 1103, 57, -1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j + 0*j**4 + 7 - 2\/9*j**2 + 2\/45*j**5 - 2\/9*j**3. Factor k(d).\nAnswer: 2*d*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 95. Let k be z(-12). Suppose -5*y - 99450 = n, 9*y - k*y = 2*n + 79560. What is y rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z = -102*z + 185*z - 66906. Calculate the smallest common multiple of 3068 and z.\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21962512 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, -0.23, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8199 is divided by 545.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -2578.\nAnswer: 2577.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*d = -24, 0*t + 34 = 3*t - 5*d. Let o = -34 + 65. What is the remainder when o is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c + 8. Let t be k(0). Suppose 0*z - 108 = -3*z. Is t\/z - 709\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12933999636954.174531526 + -12821394662304.1745314. Let s = g + -112604974778. Let a = 128 + s. Round a to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*605\/9240*(-3)\/55?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*y - 6 = y, -109 = t - 36*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18 - (-931)\/(-441)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13833 + -8507. Let y = 5325.9997869 - p. What is y rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:30 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**1*l*l**(-9)\/l*l**(-5)*l**(-8) assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h + 20*h - 2 - 33*h - 4 + 4 + 6*h**3 to the form f + g*h**2 + u*h + n*h**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37682 (base 15) in base 7?\nAnswer: 1334645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -543 and 108.72.\nAnswer: -434.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 29. Suppose -4*i - 10 = -a*i. Solve 0*k - 2*k + i = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 + 26190*d**2 - 57159675*d = 0.\nAnswer: 0, 4365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 8:08 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 11*z**2 - 10*z - 21. Let a = -1503 + 1493. Give c(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 14*w**2 + 21*w**2 + 9*w**2 - 6*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*o - 10*o - 4*o)*(o**2 + 2*o - 2*o) + 11*o - 14*o**3 - 3*o - 7*o as k + d*o + g*o**3 + f*o**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.49 - 3587116876?\nAnswer: -3587116867.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, 0.3, 3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 - 630*u**2 - 19845*u = 0.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(150 + 188 - 513)*(-2*z - z + 2*z) to the form x + s*z and give s.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**3 - n**2)*(6 - 3 - 2) + (-2*n + 2*n - 2*n**2)*(-2*n + 3 - 3) + n**3 - 4*n + 2*n**3 - n**3.\nAnswer: 3*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 + 53 + 3*w**3 - 2*w**3 - 4*w + 6*w - w - 4*w**4 as l*w**4 + c + b*w**3 + g*w**2 + a*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 595996706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 703, 1426, 2153, 2884?\n\"Answer: 2*y**2 + 717*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58930 = -45*k + 136280. What are the prime factors of k?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*t + 3*t, 0 = -5*t - u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -147. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d - 13. Let h be u(0). Let l = h - -15. Let g be 0 - 3*l\/(-2). Solve q + 2*o - g = 5*o, 0 = -4*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117770?\nAnswer: 2, 5, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2975388 divided by -247949\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23*v. Let d(s) = -196*s + 2. Give d(r(z)).\nAnswer: 4508*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8*(-44)\/8)\/(8\/4). Solve 0 = -7*o + k - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekeekokkekeoeee. What is prob of sequence ko?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, 0.3, -1\/5, -19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 511780*h - 99376 wrt h?\nAnswer: 511780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 63. What is the tens digit of 4\/5 - 6306\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1285*o**5 - 375*o + 5 wrt o.\nAnswer: -25700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.101288 micrometers?\nAnswer: 0.000000004101288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2\/(-13) + 98364\/546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppzzzpapz. What is prob of sequence paz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -358012310 and -1.\nAnswer: 358012310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43953, 43957, 43973, 44007, 44065, 44153, 44277?\nAnswer: 44443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57085080 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/21 and 65\/2532.\nAnswer: 17724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005129 rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -301?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 4. Let u be 1\/(-3) - 28\/(-12). Suppose 2*s + 3*o - 6 = 0, s - 2*s + 1 = u*o. Give x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -657*a + 3972. Calculate y(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(1360\/270 + -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 18 = -22*y + 79 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y - 615. Calculate u(47).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430*y**2 - 1442*y**2 + 4*y**3 + 2872*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 222 = 57. Let j be (-2)\/3*c + 0. Calculate the greatest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f + 2*p, 6*p = -2*f + 8*p - 10. Let s be 0 + (-6)\/9 + 95\/30. Sort f, -2\/5, -3\/5, s in ascending order.\nAnswer: f, -3\/5, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32041982.\nAnswer: 2, 7, 557, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n - 1. Let y be i(-2). Let j(q) = 2*q**2 + 2*q. Let u be j(-2). Suppose 4*o + y + 123 = u*x, -5*o = 15. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -1\/3, 8\/5 in ascending order.\nAnswer: -1\/3, 0.3, 8\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 293 - 109 = 18*z + 16 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -413, -406, -397, -386, -373, -358?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3 = 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 12*d - 32. Calculate the lowest common multiple of 947 and d.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*u - 7 = 31, 0 = 4*j - 7*u + 12 + 64 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Suppose 2*s + 1 = 3. Let w(j) = s - 1 + 4*j**2. What is w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015625 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142202 and 30846.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 893*-3045\nAnswer: -2719185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 14706.\nAnswer: 38235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Suppose d*f + 4*v = -134, -3*f - v = -0*v + 79. Which is greater: -25 or f?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 + -2) - 1. Suppose 5*o + 9 = 3*v, 2*o + 7 = v - o. Let m be (9\/(-6))\/(g\/v). Solve -22 = 5*q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658092.\nAnswer: 2, 19, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.737 rounded to 1 decimal place?\nAnswer: 55.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17822 divided by 67?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -71*t + 8. Let r be b(-5). Let o = 32 + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*(12\/10)\/3. Let u(r) = -2*r + 4*r - r + n - 2*r. What is u(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 2\/9, 2 in decreasing order.\nAnswer: 2, 1.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1.43928.\nAnswer: 2.87856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*y + 36. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -21121314?\nAnswer: -21121324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*3*((sqrt(7) + 1)*-1 + sqrt(7) - sqrt(7))*-2.\nAnswer: 48 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4628999586 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 3*o - 152 + 3*o + 173 in the form v*o**3 + w*o + i + x*o**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3440 by -1115.\nAnswer: 688\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, -1\/5, 63, -26?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/32 and -11\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8991 is divided by 260.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.26.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11.4. Sort k, -2\/11, -3 in decreasing order.\nAnswer: -2\/11, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 + -4 - 2)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 6 (c) -9\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2154 + 274*i - 2154 to the form y + z*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-9849) + (-27185)\/(-1675))*10\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 141*i - 4256 = 10*i. Put -1, -5, 0, i, -3 in descending order.\nAnswer: 0, -1, -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6581, -5, 475.\nAnswer: -5, 5, 475, 6581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = r - 17, r = 3*t - 5 + 16. Suppose -4 = -3*h + 11. Let c be (-5)\/(100\/8) - (-2)\/h. Sort c, -1, r in decreasing order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -881298930 to the nearest 100000.\nAnswer: -881300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-9))\/r*r\/(r*r\/(r\/(r\/((r*r**4*r*r)\/r)*r*r))))\/(r**(1\/5)\/r**(1\/2)) assuming r is positive.\nAnswer: r**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255664668 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m - 1\/8*m**4 + 0 + 2\/3*m**3 + 313\/15*m**5 - m**2. Is h(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49244*j - 3766 = -49246*j. Calculate the remainder when j is divided by 316.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46334 - 2409451\/52. Calculate the common denominator of w and -69\/1508.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.5784 + 1964239\nAnswer: 1964199.4216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 21 - 82*t**2 + 18 - 45*t**2.\nAnswer: -127*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k**2 + 2*k**2)*((1 - 1 - 2*k)*(2*k + 0*k - k) + 0 + 0 - 2*k**2 + k**2 - 2*k + 2*k - 18*k**2 + 7*k**2 - 7*k**2 - k**2 - 8*k**2 + 2*k**2).\nAnswer: 84*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/2)*d)\/(d*d*d**(-4)*d*d)*d**(4\/9)\/d**6*(d\/d**1*d\/(d*d*d**(-2\/3)\/d))\/(d\/(d*d\/d**(-1\/3))*d**(-4\/5)) assuming d is positive.\nAnswer: d**(-23\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869838.\nAnswer: 2, 934919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.02, -3, 0.1, 1.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 6*u - 4. Let h(l) = 6*l**2 + 7*l - 5. Let f = -31 + 36. Let q(z) = f*m(z) - 4*h(z). Solve q(b) = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 99 = 2*u. Suppose -z + 16 = 3*i, 29 = 3*z + 5*i - 3. Suppose -5*n = z*x - 20 - 9, -3*x + 36 = -n. Calculate the greatest common factor of x and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 532a + 11778?\nAnswer: 16aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77992293 minus 92?\nAnswer: -93.77992293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 91 + 2*s - 91 as b + g*s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*a = 1, 9*a - 26 = -2*i + 4*a. Factor -2\/9*w - 4\/9 + 4\/9*w**2 + 2\/9*w**i.\nAnswer: 2*(w - 1)*(w + 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2700993 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-435 - 403 + 805)*(156*o - 361*o + 165*o) in the form k + v*o and give v.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7653*t + 1783*t**3 - 7645*t - 8705*t**3 + 15298*t.\nAnswer: -6922*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from cccppcpppsecsppccec.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = 25*k - 382 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - ((-26 - -34) + (5 - 46))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50574, -50590, -50606, -50622, -50638, -50654?\nAnswer: -50670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x = 97 + 108 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 49 - ((-2)\/5)\/((-6)\/(-15)). Suppose -z + p = -3*n - 2*n, -2*z + 5*n = -85. What is the remainder when z is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -3, -260 in descending order.\nAnswer: -3, -155, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 2 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267402 to the power of 1\/2, to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1\/8, -0.2, 0, -21566?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:17 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 5. What is d(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110968835 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/4 + 36*w**4 + 441*w**3 - 825*w**2\/2 - 64791*w\/4 - 71415\/2 = 0.\nAnswer: -23, -5, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - 3) - 1 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149496 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303297154 to the power of 1\/2, to the nearest integer?\nAnswer: 17415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 10990188?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 7. Give j(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(16\/(-32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 8*c**2 - 3. Let w be h(-8). Let o(v) = v + 8. Let k be o(-4). Let s = -7 + k. Is w at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*p**5 + 11877*p**4 + 449584*p**3\/3 + 1623676*p**2\/3 + 396448*p + 81984 = 0. Calculate p.\nAnswer: -427, -6, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4811143mm in meters?\nAnswer: 0.0004811143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:03 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahhaaaahaahaa. What is prob of picking 2 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*b = -8, 4*b - 10 + 26 = -u. Suppose -83203 = 4*p + 3*f, u = -9*p + 13*p - f + 83199. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmmnnmnhmmnmnmmn. Give prob of sequence mnmh.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15092 and 652905?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 - 2*n**3 + 8 + 6*n**3 + 6*n**3 to the form v*n**3 + s*n**2 + q + h*n and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 + -3b3?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 21211?\nAnswer: -21216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -0.1, 100883 in descending order.\nAnswer: 100883, 2.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 5718 and -1916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58925, -58772, -58619, -58466, -58313?\n\"Answer: 153*z - 59078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7148\/25165 - -6\/3595. What is the third smallest value in x, -22, 2, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 467016 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 4178141.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304)*1 - -2*(sqrt(19) - (sqrt(228)\/sqrt(4))\/sqrt(3)))**2*-3.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 14. Suppose -4*l = -4, 0 = -a + 4*l - 22 + 5. Let z be m(a). Let c be z\/3 + (-2)\/(-6). Solve -3*p + 12 = c, 0 = -b + 4*b + 4*p - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 509*a**2 - 570?\nAnswer: 1018*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = -43*l + 30. Let r(u) = -5*u - 7 - l*u + u**2 + 9 - 6. What is r(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/9 + 25\/36. Let k(f) = f**3 + 4*f**2 + 9*f + 24. Let q be k(-3). Let l be (-8)\/2 - (60\/q)\/(-10). What is the closest to 0.1 in w, -1, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 17*p**2 + 16*p - 20. Let f be q(-20). What is the highest common divisor of 160 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 386.607643 to 2 decimal places.\nAnswer: 386.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 10, 4, -3.\nAnswer: -3, -2, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -0.4, -0.7, 1\/5, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 4, j: 7, r: 2, z: 2}. Give prob of picking 1 j and 1 n.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 5*d)*(8*d + 0*d + 0*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -15?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, 1 j, and 1 s when four letters picked without replacement from {e: 1, s: 2, j: 1, i: 1, v: 1, x: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185487.6 litres to millilitres.\nAnswer: 185487600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*w)*(11 + 16 - 16)*(22*w**3 - 5*w**4 - 22*w**3).\nAnswer: -110*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let h(c) = -182*c + 91. Let y(t) = -h(t) + 78*m(t). Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -25*x + 129. Solve -x*p - 4 = -8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213616832 divided by -6675526.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6661.\nAnswer: 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/12 - 11*f**3\/3 + 15*f**2 - 17*f. What is the remainder when m(-19) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(((a\/a**(2\/15)*a)\/a)\/a)\/a)**(12\/13) assuming a is positive.\nAnswer: a**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.68494kg in tonnes?\nAnswer: 0.04768494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 12*x - 1. Let i be y(13). Suppose 3*k = -4*w + 2, -29*w + 24*w + k + i = 0. Solve 3*q + g = -3*g + 4, 2*g - w = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 30*r**2 + 84*r + 82. Give i(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = 2*p + 5, 17 = 4*p - u. Suppose -4*t - 2*y - 3*y = -185, p*y - 93 = -2*t. What is the least common multiple of t and 21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 706294916 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y + 5*y**2 + 2*y**4 + 0*y - 2*y + 4*y + 2*y**2 - 19*y**6 wrt y?\nAnswer: -2280*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8 + 0*i**4 - 6*i**4 + 9*i**2 - i**4. Let f(w) = 3*w**4 - 4*w**2 - 4. Let d(b) = 9*f(b) + 4*z(b). Differentiate d(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -k + 9, -40 = -2*m + 4*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-22) - 8\/(-44). Factor -13 - l + 5*l + 13 + 4*l**3 + 8*l**u.\nAnswer: 4*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248756 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 l when four letters picked without replacement from vlvrordvolrvlrdvvvod?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152723 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4406 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, b: 3, t: 3, h: 3, v: 2}. Give prob of sequence hut.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81)\/(-15) - (26\/(-10) - -2). Let o be (200\/(-15))\/(b\/(-27)). Suppose -4*v + o = -60. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 27 = w. Let y = w - 3. Calculate the highest common divisor of y and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*z + 5*y, 23 = z - 3*z - 5*y. Let h be (z - (0 - 1)) + 1. Calculate the remainder when 6 is divided by 1\/(-3) - (-13)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 3935 = -25*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -6. Suppose r*f - 8*f - 12 = 0. Suppose 3*m = -m - f. Which is smaller: m or -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from ibbwbbbwbbibbb.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -683814*s**5 - s**4 - 6935*s**2 - 2*s + 8 wrt s?\nAnswer: -41028840*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10211 - 0?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 3\/10, 41\/1768, -2?\nAnswer: 41\/1768","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/84016720 and 43\/8401672.\nAnswer: 84016720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53919 is divided by 13476.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269638 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -7. Suppose 5*v - w + 2 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from mthrtri.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 2*m**2 + m. Let x be l(2). Let w = -2 - x. Solve 8 = -2*c + 2*b, -5 = -3*b + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*r = -13, -3*i = -3*r + 217 - 256 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-11) + ((-1959)\/99)\/(140\/105).\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(8\/20 + (-93)\/195). Suppose 0 = -j - 2*v + 8, 5 = 5*j + 5*v - 2*v. Let o = u - j. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 18*j = -4. Let n be 5\/(30\/4)*6. Find the third derivative of -17*o**n + 23*o**4 - 6 + 6 - 3*o**j wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:46 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2605 - -0.0605. Which is the nearest to g? (a) 1 (b) -1 (c) 16 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 - -194. Let s(i) = -i**2 - 11*i - 15. Determine s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -65, -122, -179?\n\"Answer: -57*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*q**3 + 2044*h*q**2*u + h*q**2 - 7863*h - 3*q**3*u + 2*q**3 wrt u.\nAnswer: 2044*h*q**2 - 3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 + 10544*u\/7 + 157396.\nAnswer: 4*(u + 109)*(u + 2527)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -106. Suppose -s*l = -13*l + 16. What is the remainder when 21 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -477 - -565. What is the greatest common factor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*f - 2*f + 28, -5*u = 5*f. Suppose 9 = u*y - y. Suppose 4*t + 653 = 3*r, 4*r - y*t = -7*t + 908. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = u. Suppose -2*k + 4*p - 12 = -2, u = 3*k - p. Solve -15 = -k*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*l - 953 = -2550, -2*x = l + 631. Round x to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 129*r. Let l = 289 - 281. Let t(o) = -l*o**2 - 4*o**2 - 2*o**2 + 12*o**2. Calculate z(t(s)).\nAnswer: -258*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 3*i**2 - 1. Let s(y) = 7*y - 93. Let a be s(13). Give n(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4.5.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.41 * 1.\nAnswer: 4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1701) + sqrt(1701)*-1 - sqrt(1701))*-2)\/((sqrt(7) + sqrt(28)\/sqrt(4))*4 + sqrt(7) + 2*sqrt(42)\/sqrt(6)).\nAnswer: 108*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, s: 7, b: 2}. Give prob of picking 3 s and 1 b.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/7 or 2\/15?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 25173 = -174777. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*j + 102 - 54 - 298*j + 108.\nAnswer: -j + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1195937795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 - 3*x - 7. Give h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 35. Let l(m) = 3*m + 24. Let w be l(z). List the prime factors of (-1 + w - 3) + 43.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 49. Calculate the smallest common multiple of (m\/(-10))\/((-2)\/4) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 times -83?\nAnswer: -290.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 511b4a - 1?\nAnswer: 511b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 9. Let i be c(0). Suppose 0 = 5*y + s - 2*s + 53, -s + i = -y. Let o be y\/(-87) - 3\/9. Is o less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2679, 2681, 2683?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**14\/v))\/((v\/(v**17*v*v)*v)\/v))**(1\/41) assuming v is positive.\nAnswer: v**(6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8039, 32151, 72337, 128597, 200931?\n\"Answer: 8037*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -28*h + 67*h - 22 - 16*h - 5 - h**2. Let w be f(26). Let m = w + 189. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 16 = -9*o + 2*d, o - 18 = -4*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 44*w**5 + w**2 - 9. Let h(r) = r**5 - r**4 - r**2 + r + 1. Let p(f) = -h(f) - j(f). Find the second derivative of p(s) wrt s.\nAnswer: -900*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/7 + 2 - (6 + -5). Let w(s) be the first derivative of -2\/7*s**3 - 2\/7*s - 1 + 1\/14*s**4 + x*s**2. Factor w(m).\nAnswer: 2*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*d*k*t**2 + 575*d*k*t + 5*d*k + 2*d*t**2 - d*t + 2*d + k*t + 51*t**3 - 318*t**2 + 31 wrt t.\nAnswer: 410*d*k + 4*d + 306*t - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - -1)*25\/(-44) and -1\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26485 or -26455?\nAnswer: -26455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 27, 6, 1\/3, 5, 41, -3\/2.\nAnswer: -3\/2, -2\/5, 1\/3, 5, 6, 27, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*v + 338*v - 130 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3931 is divided by 328.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:55 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16326581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 - 164*w\/3 + 1672\/3.\nAnswer: 4*(w - 22)*(w - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 13*d**2 - 3*d + 7. Determine o(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 46. Calculate the highest common divisor of 136 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 33*f + 26. Let n be g(-6). What is the first derivative of 8*z + n*z - 10*z**3 + 202 + 36*z**3 - 22*z**3 wrt z?\nAnswer: 12*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h - 31. Give t(13).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 213, 25, 4, -9, -13 in descending order.\nAnswer: 213, 25, 4, -1, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -997 - -996.796. Which is the third smallest value? (a) 4 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 1. Suppose 3*i = -6, -2*d + 3*d + 32 = -5*i. Let s(h) = 6*h**2 + 430*h - 5*h**2 + 27 - 407*h. Let x be s(d). What is z(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**8\/70560 - 2*t**7\/2205 - 8*t**6\/315 + 7*t**5\/20 - 8*t**2. Let k(u) be the third derivative of r(u). Factor k(f).\nAnswer: -2*(f + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 - t**3 + 7*t + t**2 + 2*t**3 - 19*t + 5. Suppose 33*h = 13*h + 140. Let q be o(h). Solve -5*a = -5*m - 5, m + 3*a - q = -0*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -883, 5166 in descending order.\nAnswer: 5166, -14, -883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:09 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*o = 404*o - 216. Let s be (-5)\/(15\/(-6)) - 20. Calculate the smallest common multiple of (12\/s)\/(o\/84) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 26384 = 112*x. Solve -4 = -2*k - 4*c, -5*k - x*c + 2 = -270*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31868?\nAnswer: 2, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**2 - 22. Let u(t) = t + 38. Give u(n(g)).\nAnswer: -2*g + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/21 - 1\/3*4. Is ((-27396)\/(-30) - 2) + m\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 37, 30, 9, -32, -99?\n\"Answer: -h**3 + 2*h**2 + 2*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 456, 488, 520, 552, 584?\n\"Answer: 32*w + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 5*d**9\/3024 + d**6\/30 + 4*d**3\/3 + 6. Let g(p) be the third derivative of u(p). What is the third derivative of g(x) wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196, 251, 352, 523, 788, 1171, 1696?\n\"Answer: 4*u**3 - u**2 + 30*u + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/7 + 569070\/126. Suppose -13*j = -q + 1163. Calculate the remainder when j is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 287*j + 178. Is h(33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (107 - 96 - (-5 - 2))) + 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 28449669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, a: 1, g: 4}. Give prob of sequence rrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 - 2*o - 2. Let g(l) = 6*l**2 - 3*l - 3. Let d(x) = 2*g(x) - 3*i(x). Let w(f) = 3*f. Determine d(w(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 17*m + c - 30898, -3*c = 4*m - 41189. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -1089, -2385, -4197, -6519, -9345, -12669, -16485?\nAnswer: -20787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -533*r + 544*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 66*r - 4 - 181*r - 19*r**3 + 4*r**3 + 55*r + r**2 + 56*r. Suppose p = -5, 3*y = p - 0 - 1. What is the tens digit of w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/11 in 0.5, 5, -9.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by -22\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/5 (b) 2\/7 (c) 0 (d) -1\/46 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 33?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(40) + (sqrt(40) - sqrt(240)\/(2*sqrt(6))))\/(sqrt(40)\/sqrt(5)*1) - -4*-3*sqrt(320)*4).\nAnswer: 3825*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 631739.99?\nAnswer: -631742.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1596849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkkakkvgvvlkkkkv. Give prob of sequence agk.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.34 (b) -0.8 (c) -0.5 (d) 2\/15 (e) -1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 7*v - 6. Does 12 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 17*y**2 - 6*y + 15. What is i(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392550033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/10)\/(4 + -3)*27342?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) + 41\/3. Let k(r) = -416660*r - 6. Let b(m) = m - 1. Let l(g) = v*b(g) - 2*k(g). Let h be l(3). What is h rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 3.97. Let u = 344038\/7 - 49240. Let s = u + 92. Which is the second biggest value? (a) s (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -59*u + 18. Let b(d) = -174*d + 48. Let v(g) = -3*b(g) + 8*k(g). Let i(z) = -17*z. Calculate 8*i(w) + 3*v(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53199*g + 14099 wrt g.\nAnswer: 53199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 102*x - 4392. Calculate p(43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 8*n. What is j(-11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**5 + 417*z**4 - 5949*z**3 + 5535*z**2 = 0.\nAnswer: 0, 1, 15, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**1)**(-44)*m**(-1\/2)\/(m\/(m\/(m*m\/((m*m\/((m\/(m\/(m*m**(2\/5))))\/m))\/m))*m)))**(-2\/71))**(-40) assuming m is positive.\nAnswer: m**(-10632\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80190960 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 66 = -17*y + 13*y, 4*s - y - 36 = 0. Sort 4, 30, -1, s in decreasing order.\nAnswer: 30, s, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 2*f**4 - 2*f**4 + (-2*f**2 - 2 + 2)*(f**2 + 0*f**2 - 3*f**2) - 14*f**4 + 5*f**4 - 21*f**4 + 0*f**4 + f**4 - 2*f**4.\nAnswer: -26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*y = -250*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*-3*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3+26407510412\nAnswer: 26407510409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 123*x + 636. Let g be z(56). Let d(b) = -2*b**3 - 3*b**2 - b. Let u be d(-5). What is the highest common divisor of g and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcc when three letters picked without replacement from {h: 3, c: 4, u: 2, s: 2, q: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*r - 5*k, r - 8 = -k - 0. What is the third derivative of 0*u + u**r + 0*u - 7*u**6 + 8*u**2 wrt u?\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2521549 rounded to four dps?\nAnswer: 0.2522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-12)\/15) + (-27)\/(-10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -94. Calculate the greatest common divisor of n and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -434, 1\/3, 2\/13, 0, -3, 5, 1.0216?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2189*x - 3 - 3086*x + 3 to the form m*x + v and give m.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4 - 7*k**2 + 6*k**2 - 4. Let l(z) = -3*z**2 - z**2 - 3*z + 8*z**2. Let p(n) = -9*n**2 + 7*n. Let j(o) = 7*l(o) + 3*p(o). Determine m(j(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**4\/24 - m**3 - 27*m**2 - m. Let t = -15 - -7. Let n be d(t). Solve 4*i + 5*c = n, c = -3*i - i + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.5 (c) -4 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o*o*o*o**(-4)*o**(-4\/5)\/o*o**6\/o*(o**(-3)\/o**(1\/4))**28 assuming o is positive.\nAnswer: o**(-444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.17 - 1.67. Suppose -2*p + 0*p = 6. Let y = 0.04 - -0.26. What is the nearest to p in 1\/8, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 8*q + 1. Let p(y) = -y**2 + 4*y + 37. Suppose 0 = -3*i - i + 28. Let w be p(i). Suppose w = -5*b + 56. Give j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/11 + (7 - (6 - 2)). What is the third biggest value in -15, x, -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66240*o**3*t**2 - 8810*o**3 + o**2*t + 29*o*t**3 - 13*o*t - 5*t + 1 wrt t?\nAnswer: 132480*o**3 + 174*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.4 (c) -4\/3 (d) -40\/7 (e) -11\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8*b - 160 = -13*b, 3*q = -5*b + 235. Let x be (-40)\/500 + 531\/q. Let m(c) = c**2 - 9*c + 6. Give m(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24293, -24292, -24291, -24290, -24289?\nAnswer: -24288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdzhhzzzdzdhzzzzzzzz. Give prob of picking 2 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, i: 7, s: 7}. Give prob of picking 2 z.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*z**2 - k**2*z**2 - 2*k**2 - 54*z**2 - 3 with respect to k.\nAnswer: 6*k**2*z**2 - 2*k*z**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1204?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 45, -25, 2, 1 in descending order.\nAnswer: 45, 2, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)*z)\/z*z\/(z*z*z**4*z)*z**(-1\/3)*z**6*z*z**(2\/5)*z**(1\/8)*z**(-2)\/(z**(-2\/3)*z) assuming z is positive.\nAnswer: z**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.59 and -0.1178?\nAnswer: 0.540702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*j**3 - 42*j**2 + 7157*j - 2.\nAnswer: -726*j - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-170)\/(-102) - (12 + -11). Let y = -0.28 + -0.02. What is the third smallest value in y, g, 48, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 13. Let x be t(-6). Solve -x*h + 5 + 3 = 2*a, -h - 20 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - (38 - 72)) + 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52487160 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*f + 31, 16 = -50*f + 52*f - 4*a. Solve 6*j - 12 = f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 60*r + 60*r)*(-r - 1 + 1)*(3*r - 3*r - 2*r) in the form d*r**2 + l*r + f*r**4 + a + m*r**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66459*c**4 - 7389*c wrt c?\nAnswer: 797508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11420 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1890 and 630?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - 11 = -w, 4*w = 2*t + 2. Let j = -1526\/9 - -19514\/117. Is j greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3240*t - 5. Let f(r) = -9732*r - 17. Determine -2*f(b) + 7*n(b).\nAnswer: -3216*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 3) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 9. Let g be q(6). Let f = -3 - g. Suppose f = -2*y - 2*i + 36, 3*y + 3*i = -i + 56. What is the least common multiple of y and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((4\/(-8)*1)\/(11\/22))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 1470, 2212, 2958, 3708?\nAnswer: 4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.52 - -3.441. Let z = j + 0.07898842. Round z to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 13) to base 15\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -873, -1719, -2551, -3363, -4149, -4903, -5619, -6291?\n\"Answer: c**3 + c**2 - 856*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5402516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l - 73*l + 26*l + (l - 5*l + 5*l)*(-4 - 15 + 10) to o + k*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 8*t - 1. Let b be w(4). What is the common denominator of -51\/4 and b + 190\/105*-3?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45363 (base 8) in base 12?\nAnswer: b12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7c (base 14) to base 2.\nAnswer: -100011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 220 = 4*y + 260, 0 = -4*y + 4*p - 468. Let m = y + 181. Let q(n) = -23*n - 18. Let z be q(-1). What is the highest common factor of m and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*u + 4179476 - 1038182. What is the greatest common divisor of u and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:36 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83\/29710 or -1?\nAnswer: 83\/29710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.13, -0.3, 0.049?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.5 - -13.2. Let h = -41 - -44. Let v = h + -2.5. Which is the closest to 1\/4? (a) 0.3 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49709*o - 85040*o + o**3 + 16043*o - 42640*o.\nAnswer: o**3 - 161346*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -483 (b) 20 (c) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 18*u**2 - u - 22. Let r be n(-18). Let o(d) = d**2 + 3*d - 4. Let i be o(r). Suppose i = -4*h - 24 + 72. Solve -3*z + 3 - h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/27? (a) -1\/4 (b) 12 (c) 2 (d) 44 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -199501, -798556, -1796975, -3194752, -4991881, -7188356?\n\"Answer: q**3 - 199688*q**2 + 2*q + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.3. Let t = -2.2 + 2. Which is the biggest value? (a) h (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627520726 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 3148*v**2 + 44366*v + 155624.\nAnswer: -2*(v - 1588)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 10. Let d be k(-12). Let h be 6\/21 + 32\/d. Let f(g) = -g. Let j be f(-2). Put h, j, -3 in increasing order.\nAnswer: -3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -7*j**4\/24 - j**3\/3 + 7*j**2\/2 + 1. Let x(d) be the second derivative of l(d). What is the units digit of x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245665 is divided by 40940?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 16, 4*r + 672 - 23 = 3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippiiiiipppippipddi. What is prob of sequence id?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 3819535172\nAnswer: -3819535172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 69?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560*j**3*l**2*u**2 + 1357*j**3*u - 5*j**2*l - 951*j**2*u**2 + 92145*l**2*u wrt l.\nAnswer: -1120*j**3*u**2 + 184290*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from kkckckkcckkkckkk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -4 - 17\/6*c**4 + 0*c**3 + 2*c**2 - 1\/40*c**6 + 1\/60*c**5 + 0*c. What is the second derivative of r(x) wrt x?\nAnswer: -18*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 5*j**3 - 2*j**3)*(-3*j - 2*j + 3*j)*(-5 + 2 + 1).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 0.071\nAnswer: -0.00923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10719 in 0.5, 1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Let x be -3*1*(1 + -2). Suppose -4*u + 23 = -3*i, -25 = 5*i - x*u - u. Which is the biggest value? (a) -0.4 (b) i (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xha when three letters picked without replacement from {w: 4, h: 1, a: 2, x: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2376704 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1944))\/(sqrt(896)\/sqrt(7) + sqrt(8)).\nAnswer: -9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1890 and -37\/50?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3)*0 - 2. Let j be 12\/4 - (-1 - z). Suppose 4 = 2*t - 4*m, -5*m = 3*t + j*t - 10. Solve -l = t*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 1439, 4938, 11741, 22946, 39651?\nAnswer: 62954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77733*j**3 - 24056*j**3 + 22378*j**3 - 26171*j**3 - 16076*j**3.\nAnswer: -121658*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-6)*z*(z\/((z**1\/z*z)\/z))\/z*(z\/(z*z*z**(-7)*z))\/((z**(2\/7)*z)\/z) assuming z is positive.\nAnswer: z**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (5 + sqrt(147))**2.\nAnswer: 70*sqrt(3) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 20. Suppose -p - s = 8 - 3, -4*p - n = 5*s. Let g = 0.3 - -1.7. Sort p, g, -5.\nAnswer: -5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/1497 or -1?\nAnswer: -10\/1497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*n + 16295, -4*p = 74*n - 76*n - 13018. What is the remainder when p is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 divided by -3907\nAnswer: -223\/3907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and -1\/515907.\nAnswer: 1031814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6562439 divided by 20\nAnswer: 6562439\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(4\/(-6) - -1). Let s = -1929\/259 + -105\/37. Let v = s + 367\/35. Which is the second biggest value? (a) n (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 104. List the prime factors of d\/(-4) + (-12)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2 - 17) - 2. Suppose -5*f = 2*w - 25, 2*f + 170 - 180 = 3*w. Solve w*b = -3*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39 + -0.29. What is the nearest to -1 in -2, 0.39, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.85491 decades in years?\nAnswer: 698.5491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/24 + 2*w**3\/3 + 24*w**2. Determine h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -53, -57, -59?\n\"Answer: v**2 - 9*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1056 - -2342. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.482 + -317.518. Let z = -255 + v. Let p = 573.00000523 + z. What is p rounded to seven decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*sqrt(153) - sqrt(17)) + -1 - (6*(sqrt(17) + -2 + sqrt(17) - sqrt(17)) + sqrt(68)\/sqrt(4) + -3 + 1))**2.\nAnswer: 180*sqrt(17) + 1781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 12}. Give prob of picking 2 u.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14285 minus -3?\nAnswer: 14288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 775*x - 1. Let p(y) = 1199*y - 4. What is p(s(c))?\nAnswer: 929225*c - 1203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*b - 44262 = 0, -34*o + 32*o + 17711 = -5*b. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*p - 211*p**3 - 4*p + 9*p**2 + 2*p + 106*p**3 + 107*p**3 in the form f*p**2 + u + c*p + s*p**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 38*b = 36. Calculate the remainder when 64 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 174*t + 178. Let b be d(-57). Solve b = -21*j + 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -8 - (-3)\/3. Suppose 5*u + 26 = 2*d, 3*u + k = -2*d - 0. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31643079 and 1132.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/6 + 149*y**4\/6 + 121*y**3 + 430*y**2\/3 - 292*y\/3 - 192.\nAnswer: (y - 1)*(y + 2)**3*(y + 144)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let l be (12\/30)\/((-3)\/(-10)). Let -32\/3*w**g - 22\/3*w - l - 14\/3*w**3 = 0. Calculate w.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3*x + 1\/6*x**3 - 5\/2*x**2 + 0. Let w be 1\/((14\/(-8))\/7). Calculate i(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 46*o = -20. Solve 7 = -j + f, 3*f + 1 = -5*j - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 5?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26736.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (4835\/(-10))\/(3\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o - 74. Let x be z(-6). Calculate the lowest common multiple of 1\/x*12 - -18 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*(-7)\/(42\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 252 = 3*v - 4*s, 5*s + 705 = -5*v. Let n = 202 + v. What is the highest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 786*w + 26988. Give l(36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 399 + -220. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 5. Let n be y(7). Suppose 4*s - 8*s - 4*w = -152, 0 = -s - 3*w + n. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-98144950.\nAnswer: -490724750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5055, -20177, -45363, -80601, -125879, -181185, -246507?\nAnswer: -321833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, z: 2, y: 2, t: 1, c: 5}. What is prob of picking 1 l and 2 y?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44436 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 2, g: 4}. What is prob of picking 1 k and 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 13639, -4, -5, 0, 4, 3 in descending order.\nAnswer: 13639, 4, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8*b - 75 + 44 = -2*n + 3, 0 = -6*b - 12 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = -2*c, -c - 3*c + 13 = -d. Let f = 3 - d. Let q be 3\/5 + (f - 4). What is the closest to 0.1 in q, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5663)\/(-9) + (-2)\/9. Let g = -3098\/5 + v. Find the common denominator of 83\/30*1*3 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.2208357 to 2 decimal places.\nAnswer: -45.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 14 - 28 + 875*o + 6)*(-2*o + 2*o - 2*o).\nAnswer: -1750*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4655.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111002 - -10?\nAnswer: 111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x. Let u(h) = -4*h**2 - 156*h. What is u(b(f))?\nAnswer: -100*f**2 - 780*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 29 (b) -0.3 (c) -1\/7 (d) 4\/13 (e) -8\/5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-101288)\/(-1408) + (-6)\/(-96). What is the greatest common factor of 4842 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3899, 15536, 34917, 62048, 96935, 139584, 190001, 248192?\n\"Answer: z**3 + 3866*z**2 + 32*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -6*p. Suppose 93351 = -p*b - 61634. Let f be (-3)\/(-5) - b\/5. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*s**2 - 427*s**2 + 1 - 423*s**2 - 1 - 421*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24969949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:16 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50027 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*l - 21 - 4 = 0, 0 = d + 3*l + 25. Is 22\/(-4)*(d + -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10927 + -10873.11. Let g = l - 51.3. Let x = 2.6023 - g. Round x to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g - 20. Let n be o(9). Let l be 345*(n - (-2)\/2). Is 6\/((-36)\/l)*2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(612)*4 + -1 + sqrt(612) + -2.\nAnswer: -3 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 7. Suppose 57*r = 62 - 5. Solve r - l = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3? (a) -0.3 (b) -5 (c) 4 (d) -4\/9 (e) 3\/19 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 37\/3. Which is the biggest value? (a) -4 (b) k (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-one halves of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 0.098\nAnswer: 0.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 105. Factor 39929*w + 13057*w - 4*w**a - 6144*w**2 + 12550*w - 262144 + 256*w**3.\nAnswer: -4*(w - 16)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 - -0.13.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 14*l - 8*l. Suppose -183 = -b - 3*h + 183, -2*b = l*h - 730. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15774021, -15773995, -15773969, -15773943, -15773917?\n\"Answer: 26*o - 15774047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let z be l(3). Suppose 2*q + z = -4. Let s = 7 - q. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 2\/5, 1\/21, -0.02?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j + 3. Let g be b(-7). Suppose 0 + g = -t. Let d(u) = u**3 + u. Let a(q) = -q**3 + 4*q**2 + q + 4. Let o(m) = a(m) + 2*d(m). Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (1 + sqrt(108))**2) + sqrt(30)\/(sqrt(10)*-1) + 1)*-2.\nAnswer: 24*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*r**3*u**4 - 6369*r**3 + 984*r*u**4 wrt u?\nAnswer: 20*r**3*u**3 + 3936*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:01 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let g(c) = 2*c**2 - 2. Let d(h) = -g(h) - 2*k(h). Let b(r) = r. Let w(i) = 5*i. Let l(t) = -3*b(t) + w(t). Calculate l(d(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 406297770*k - 13756489825581075 = 0. What is k?\nAnswer: 67716295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51548 and 86264.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j. Let x(u) = j*u**3 + 0*u**2 - 2*u**2 + u**3 - 2*u**3 + 1. Let a(c) = -2*c**3 - 3*c**2 - c + 1. Give -2*a(f) + 3*x(f).\nAnswer: f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 462515805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708891.\nAnswer: 3, 236297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:04 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let w(l) = -32*l**2 + 6*l - 12. Let b(o) = 5*v(o) - w(o). Let n(x) = -x. Let c(p) = b(p) - 6*n(p). Differentiate c(m) with respect to m.\nAnswer: 74*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790716 is divided by 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047 + 3465 = 6*r. Calculate the remainder when r is divided by 103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1*sqrt(242) - sqrt(242)) + (2 + sqrt(242))*-1)*-6 + -3*(((sqrt(242) + sqrt(242) + 3)*4 - sqrt(242)) + -4))**2.\nAnswer: 3960*sqrt(2) + 54594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13566*k**2 + 1425521.\nAnswer: 27132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15909*z - 2*u = -15913*z + 54, z + 6*z + 105 = -6*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, -6 in descending order.\nAnswer: 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 3)\/(-3))\/1. Suppose -6*t + 36 = -18*t. Which is the closest to -1\/3? (a) 0 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 13*o - 48. Calculate the greatest common factor of o and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -257910\/17 >= -15170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.066599 from 33684.\nAnswer: 33684.066599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:15 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*b = 18, 3 = -4*d + 6*d - 5*b. Let z(t) = 13*t**2 - 3*t + 2. Let y be z(2). Suppose -d*r + 12 = -y. Solve -8*m - r = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from nmmmmmmmnmmmm.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 4. Let z be u(-4). Let w(v) = -v**3 - 5*v**2 + 6*v - 5. Let k be w(-6). Let h(l) = -2*l + 3. Let x be h(2). Sort z, k, x in increasing order.\nAnswer: k, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 + -25.54. Let x = -24 - h. Let c = 15 + -10. What is the nearest to 4 in -1\/2, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -135996, -132450, -128904, -125358?\n\"Answer: 3546*d - 139542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -70) + (-123)\/18 - 118\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2757 or 24800\/9?\nAnswer: 2757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 3*w + 17112 - 17114, 0 = -2*a + 4*w - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -31. Sort r, -2, 1.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**7\/120 + o**6\/45 + 8*o**3\/3 - 9. Let c(s) be the third derivative of d(s). What is the third derivative of c(y) wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -13. Suppose i*f - 138 = -5*n + 4*n, 0 = -5*f + 5*n + 150. Let c = 37 - f. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-4))\/(1*9\/12*(-14)\/21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 3*v - 1. Let u be m(4). What is the third derivative of -5*i**2 + 10*i**2 + 4*i**6 - i**2 - u*i**6 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u. Let d(q) = 1440*q**2 + q + 5. What is d(a(r))?\nAnswer: 12960*r**2 + 3*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:14 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -4, -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00907799 rounded to 5 decimal places?\nAnswer: -0.00908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**2 + 11*i**2 + 19*i**2 + 442*i - 33*i**2 - 168*i in the form y + d*i**2 + m*i and give m.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 3*u. Let f be q(4). Let p(k) = k + 9. Let c be p(-6). Put 5, c, f in ascending order.\nAnswer: f, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/(15\/(-90)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32549 + -32443. What is the remainder when 2329 is divided by z?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1033 + 2000?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1 + 2*n + 5 - n. Let j be g(-4). Let m(b) = -2 + 4 + 0 - b - b**3 + b**2. Calculate m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2723 = 5*l - 4*w, -4*w = 4*l + w - 2203. List the prime factors of l.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*(0*f**4 + 4 - f**4 + 4).\nAnswer: -f**5 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21101 + 21081.806. Let v = p + 19.4. What is v rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/24*(-492)\/287.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584842 is divided by 598.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10888*h**2 + 10888*h**2 - 252*h**3 + (-4*h**3 + 0*h**3 + 2*h**3)*(-1 + 0 - 1).\nAnswer: -248*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 - 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 6 - 6)*(-2 - 3 - 2) + 4*l**3 + 5*l**3 - 4*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79534 and 394806776.\nAnswer: 394806776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 243.\nAnswer: 23\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - 1?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/41)*v)*v)\/((v\/(((v*v\/v**30)\/v*v)\/v*v))\/v))\/((v\/v**(-1\/17))\/v*v**(-9)\/v*v) assuming v is positive.\nAnswer: v**(-12621\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 + 173. Let v = -75 - p. Suppose -v*t + 24 = 6. Solve t*u - 4*u - 5*l = -10, -2*u = -3*l + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.67938315 times -9\nAnswer: -6.11444835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.4714 + -2.2.\nAnswer: -18.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w**(2\/5)*w*w*w))\/(w*w**(-1\/17)))\/(w**(-28)\/(w*(w**(-2\/23)*w*w)\/w)))**(-1\/3) assuming w is positive.\nAnswer: w**(-48038\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 106 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(13))*2 + sqrt(13) + sqrt(832) + 2)*-1)**2.\nAnswer: 44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 62 + 39 = 0. What is the highest common factor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 162\/(-6 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.1. Let l = g + 0.74. Let d = l + 0. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32834592 and 16554.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(3 + (0 + sqrt(500))*-5)*-6)**2.\nAnswer: -12158748 + 291600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-714)\/(-833) - 5\/14 - -5?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220200221 - 2?\nAnswer: -220201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, a: 1, d: 1, x: 1, o: 2}. Give prob of sequence ldt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 28. Let y(w) = -w**2 - 8*w - 3. Let f be y(-7). Suppose -2*m + 16 + f = 0. What is the remainder when p(0) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b = 2*l + 336, -4228*b - 28 = -3*l - 4226*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328742332.\nAnswer: 2, 19, 4325557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from {f: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -255179841 - -92292720. Let m = 162886954.999897 + y. Let q = -166 - m. Round q to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Let m be 105\/(-28)*k\/1. Calculate the remainder when 37 is divided by 3\/(-6)*4 - m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27857 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -395*h**2 + 45*h + 45. Let m(u) = 18*u**2 - 2*u - 2. What is 2*b(c) + 45*m(c)?\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000256 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51869, -51841, -51765, -51617, -51373?\nAnswer: -51009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let a(k) = -1094*k + 170. Let h(u) = 365*u - 51. Let z(p) = 6*a(p) + 20*h(p). What is z(j(c))?\nAnswer: -736*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2*g**6\/15 + 11*g**4\/12 - 9*g + 12. Let s(b) be the first derivative of w(b). Find the third derivative of s(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 260*j**3 - 2*j**2 + 1. Calculate z(-1).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37375 is divided by 891.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/14 + (-86)\/16. What is the third biggest value in -0.4, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -21. Let a = 0 - -6. Suppose 0 = -2*r + 3*r - 5. Solve 0 = -r*n - 4*z + t, 4*n - 2*z = z - a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20754 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1592704 by 4.\nAnswer: -398176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40026 - 200?\nAnswer: -40226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174.193*-6.\nAnswer: -1045.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 15*r = 374. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4972275 divided by -3.\nAnswer: -1657425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.19 times -1\nAnswer: 3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 + 2716 = 2*x. Suppose -407 = -3*n + 2*i + 654, 0 = 3*n + 2*i - x. List the prime factors of n.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*z - 16, k + 2*k - 16 = 4*z. Let r = k + 41. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -35*t**3 + t**2. Does 12 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 2010*l. Let r(w) = 14*w. Calculate c(r(k)).\nAnswer: -196*k**2 - 28140*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*-18*(-112)\/5544.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y\/(y*y**4*y*y*y))\/y)\/(y**(-5)*y))\/(y**(1\/4)*y**(-1\/2)))**(-10))**(-5\/4) assuming y is positive.\nAnswer: y**(-275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*d**5 + 2*d**4 - 46321*d**3 + 723221693*d**2 wrt d.\nAnswer: 23880*d**2 + 48*d - 277926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, -4, 3, -3, 4 in decreasing order.\nAnswer: 309, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46, -30, -12, 2, 6, -6?\n\"Answer: -k**3 + 7*k**2 + 2*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 0*x**3 + 1\/3 - 2\/3*x**2 + 1\/3*x**4 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88981 = -2*u + 121197. Suppose 8*p + 28481 = u. Suppose -p = -13*b - 411. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 10. Let y be d(13). Let h(x) = -y - x + 3. Let p(a) = 9*a. Calculate h(p(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -239302\/5 smaller than -47861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - s + s)*(-4 - 1 + 6)*(-2 + 29 - 4).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*g - 3*g - 10, 0 = 4*o - 3*g + 65. Let p be 1*-1*(36 + -2). Let u = o - p. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 8*j - 1. Determine k(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 656, 454, 128, -322?\n\"Answer: -62*o**2 - 16*o + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -397?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, 9765 in decreasing order.\nAnswer: 9765, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 4835359?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -8. Let a be t\/21 + 16\/7. Suppose a*n = 8 + 4. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r**3 + 12*r**2 - 21*r - 40. Let j(o) = -53*o**3 - 24*o**2 + 43*o + 80. Let f(v) = -6*j(v) - 11*k(v). Factor f(t).\nAnswer: -(t - 8)*(t - 5)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65083 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-356.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 * -0.39\nAnswer: -0.02457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*k = 0, -n - 11 = -3*k - 4. Let h be 13*n + (5 - 1). Suppose -9*p + 8*p = -h. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2673831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 364, -14749 in ascending order.\nAnswer: -14749, 4, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163344*h - 490047*h + 163347*h + 163355*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 + 95*j**2 - 1220*j + 1120 = 0.\nAnswer: -28, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, 75, 718, 1763, 3210, 5059?\nAnswer: 7310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.0502441 - -33051605.9497559. Let q = i - 33051562.9999968. Let x = 45 - q. What is x rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*k**2 - 70*k**2 + 5*k**2)*(5*k**2 - 2*k**2 - 2*k**2).\nAnswer: -247*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 4*s + 3. Suppose 0*m = 3*m + 15. Let k be o(m). Let t(z) = -8*z**3 - 2*z**2 + 2*z + 1. Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b + 271. What is the remainder when 498 is divided by v(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3\/92, -1\/3, 0.1?\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23937 and 7575?\nAnswer: 598425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1101111001101011 (base 2) to base 16\nAnswer: de6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 1504*q**3 - 3 + 3 - 1519*q**3 - 21*q**2.\nAnswer: -15*q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-90)*-3)\/(35\/175).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39818019 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8897462 + -8897446.0000056. Let q = -42 - -26. Let n = q + d. Round n to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + (3 - (-9 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1807371, 1807374, 1807377, 1807380, 1807383?\nAnswer: 1807386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m = 54*m + 204. Let b be (-231)\/(-6)*m\/(-119). Calculate the highest common divisor of b and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)\/(u**(3\/4)\/u))\/(u**(2\/3)*u\/(u**3\/u))*((u\/u**(-5\/4)*u*u*u)\/(u*u**(1\/3)*u))**(-3\/2) assuming u is positive.\nAnswer: u**(-431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57803336 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r + 395. Let j be g(-28). Let q = 0 - 2. Which is the fourth biggest value? (a) q (b) j (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -181\/24748 or -1?\nAnswer: -181\/24748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313\/488 - -1\/61. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6506569 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15ce (base 16) to base 10\nAnswer: 5582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -947 - -942. What is the closest to 7 in 0.01, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 - 9290*g - 513285 = 0. Calculate g.\nAnswer: -1801, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*m**4 + 2452*m**2 - 202*m**4 - 37*m**4 + 67*m**4 - m wrt m?\nAnswer: -3864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:15 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = -95. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 7. Let k = -8 - y. Which is the closest to 1? (a) 0.4 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6276*s**4 - s**3*z**2 + 12*s**2 - 10*s*z**2 - 4552*s wrt s.\nAnswer: 75312*s**2 - 6*s*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33024162 >= 33024162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -415*p**4\/4 + 23*p**2\/2 - 17*p - 318. What is the second derivative of y(t) wrt t?\nAnswer: -2490*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 463*v**2\/5 + 1136*v\/5 + 76.\nAnswer: -(v - 95)*(v + 2)*(5*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4 = 17*l + 77, 4*q = 3*l + 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*f - 10. Let o(u) be the first derivative of 4*u**2 + 2*u - 7. Let t(n) = -7*n - 2. Determine f*o(k) - 7*t(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 2, s: 1, a: 1, t: 2, r: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztgsh. What is prob of picking 1 t and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 81971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(153))**2 - (sqrt(17) - (sqrt(17) - sqrt(833)))*-1.\nAnswer: -5*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**2*f)*f)**(-7)*(f\/(f**(-1\/18)*f))\/f**(2\/9))**(-2\/5) assuming f is positive.\nAnswer: f**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228718.68 months in centuries?\nAnswer: 190.5989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17962 - -32115. Let p = f - 8490. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/45 + 4\/30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2465 + 2465 + h)*(-h + h - h)*(1 + 4 - 4).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-1469.\nAnswer: 48477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226308?\nAnswer: 2, 306577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.184 - -0.183165. What is w rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 14.9. Suppose -5*s + 9 = -4*s. Let u be s\/2 + (-4)\/8. Which is the nearest to 2? (a) -0.4 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 72*n**3 - 5*n - 83*n**3)*(21 - 209*n - 15 - 4) in the form y + f*n**4 + w*n**2 + s*n + c*n**3 and give f.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 103987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by -3?\nAnswer: 350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*a**2*k**6 + 138443*a**2*k**3 + 48817*a**2 + 9*k**2 wrt k?\nAnswer: 3000*a**2*k**3 + 830658*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446724479?\nAnswer: 41, 97, 112327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:16 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1788941 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**2 - 58235956*n - 174707904 = 0.\nAnswer: -3, 14558992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/8 of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129289.\nAnswer: 7, 29, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 783 divided by 28\nAnswer: 783\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*p - 19, 20 = 5*y - 2*p + 7*p. Suppose 3*s + 54 = -3*h, -5*h = y*s + 43 + 43. Does 4 divide (-5)\/(-3 + h\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.196. Let n = t + -0.366. What is the second biggest value in -0.06, 0.06, -2, n?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 375 + 326. Suppose 706*u - 35 = p*u. Suppose -102 = 2*q - 508. What is the greatest common factor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) - (sqrt(68)*-2 - sqrt(68))))\/(sqrt(400)*-1).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1755 and 780.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*u + 8, -u + 4*k + 1 = 3. Which is the smallest value? (a) u (b) 0.1 (c) 4\/7 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r*r\/(r**(-5)*r)*r)\/r*r)*r)\/(r\/(r**(-13)\/r*r)) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (13 + -21 - (1 + -9)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -225.8\nAnswer: -225.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192 and -815723.4?\nAnswer: 815531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -19, -44, -89, -160?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2306237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u - 7. Suppose 2*v + 29 = 5*f, -4*f + 5 - 21 = 4*v. Let y be x(v). Let m = -44 + y. Solve -m*k + 2*c - c - 11 = 0, 28 = -4*k - 4*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 + k + 2. Let m = 0 + 0. Let j be v(m). Find the second derivative of -r**j + 2*r - r + r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32070*s**4 + s**2 + s - 192723?\nAnswer: -128280*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/4 + 33*r + 363 = 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 993086616\/66123. Let y = q + -15019. Let i = -159183\/4898 + y. Calculate the common denominator of i and 9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 674*x**2 - 276*x - 16. Let c(u) = 5391*u**2 - 2208*u - 132. Let a(o) = -4*c(o) + 33*g(o). Find the second derivative of a(m) wrt m.\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -23. Suppose -q*z + 12 = -9. Solve 5*m = -s + z - 28, m + 2*s = 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5209?\nAnswer: 1\/5209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -55. Suppose 8 = -4*r + 2*z, -2*z = -4*r - 5*z - 28. Let y = r - w. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**4\/4 + 4*l**3 - l**2\/2 + 5*l - 8346. What is f(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let i(z) = -657*z**2. Calculate i(h(p)).\nAnswer: -657*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32011234 (base 6) in base 8?\nAnswer: 3441506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10688)\/(-64128))\/((-1)\/222)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k**2 - 24*k**2 - 81*k**2 - 70*k**2 to the form u + c*k**2 + s*k and give c.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 4, c: 3}. Give prob of picking 1 c, 1 f, and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1)\/12*(-6)\/4. Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4642 and 1122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 323*a = 321*a + 8, 10 = 4*z + 3*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.15, 1, -0.3, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4520 and 1\/34.\nAnswer: 76840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u - 10, -4*u + 0*u + 22 = 5*z. Let n(h) be the third derivative of 7*h**4\/8 - 183*h**2. Let o be n(u). What is o rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-10)*a)\/(a\/(a*a**(-11)*a)))\/(a**(1\/18)*a**(-2)) assuming a is positive.\nAnswer: a**(-271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 138 - 6*u**3 - 64*u**2 + 8*u**3 + 570*u - 1038 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 13.89, -2 in ascending order.\nAnswer: -2, 13.89, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 27 + -28 + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/102)\/((-6)\/(-17)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 - ((-21)\/7 - 28). Let g(j) = 74*j - v*j - 39*j. Let u(s) = -8*s**2 - 5*s**2 - 16*s**2. What is u(g(f))?\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and -41\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153023 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253200965 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048 - 483252229.365.\nAnswer: -483252229.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93958 and 1?\nAnswer: 93957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -10. Let j(r) = 15*r**3 + 4. Let k(g) = 16*g**3 + 4. Let c(s) = x*k(s) - 7*j(s). Find the first derivative of c(a) wrt a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 787 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -43*w**2 + 1284*w - 2564. Determine r(2).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 5, 2*w = 4*a - 10. Let k(h) = 21 - 40 - 6*h + 22. Let z be k(0). Solve z*s + 1 = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 (base 11) in base 13?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 601943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3345.243 - 3338. Let q = u - 0.043. Round q to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233465 (base 11) to base 4.\nAnswer: -1122132031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1112 divide 391223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 5*z**2 - 3*z + 5. Let f = -2 - -4. Suppose 5*j + 5*c = -20, 5 = f*j - 5*c + 13. Determine d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, 0.2, -1224, 5 in decreasing order.\nAnswer: 5, 1, 0.2, -20, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7777661372 rounded to 5 decimal places?\nAnswer: -0.77777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 11:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + 100221121?\nAnswer: 101002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063269 rounded to six dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 times -6?\nAnswer: -91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**3 - 2234*l**2 - 892*l + 5. What is m(-223)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 12*q**3 - 2*q**3 - 6*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 5. Let w(p) = 5*p + 9. What is -10*d(m) - 6*w(m)?\nAnswer: -10*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 5*l + l + (-3 + 3 + 3)*(-l - 3*l - l))*(-2 + 2 - 3*l**2) - 2 + l**3 + 2 + 0*l**3 - 3*l**3 + 5*l**3 + (l - 2 + 2)*(-l**2 - 2*l**2 + 2*l**2).\nAnswer: 41*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 34. What is d(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740cb7 (base 13) to base 14.\nAnswer: 509865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4016?\nAnswer: 3\/4016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108240722047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/42)\/((-16)\/(-60)*-35).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 4 (c) 3 (d) 206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 42. Suppose 5*i + 5*d - 17 - 63 = 0, 0 = 5*i - 3*d - 64. Does 7 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7506589, -15013179, -22519769, -30026359, -37532949, -45039539?\n\"Answer: -7506590*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:03 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + -4 - 7 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 6*q - 29 = -3*h, -q - 4*h = -16. Solve -3*j + j = 5*x + 20, -j - 13 = q*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let m(b) be the second derivative of -b**4\/24 + 11*b**3\/2 - b**2\/2 - 6*b + 1. Let y(j) be the first derivative of m(j). Give y(n(h)).\nAnswer: 2*h + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 - 51*q + 156 = 0. Calculate q.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104505, -104507, -104509, -104511, -104513, -104515?\nAnswer: -104517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9540.32558 - 9646.327. Let i = k + 106. Round i to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let v(o) be the third derivative of 67*o**5\/60 - 3*o**2 - 11. What is s(v(t))?\nAnswer: 67*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 68 = -2. Let d be ((-1)\/(-1))\/(3\/354). Suppose 0 = -3*u - 5*j + d, -2*u + 0*j + r*j = -68. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293.4515 + -238.45. Let j = -34 - 21. Let p = g + j. Round p to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -79. Solve 3*m = -2*m - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*g + 256 - 256)*(-3*g**4 + 3*g**2 + 4*g**4 + 0*g**2).\nAnswer: 48*g**5 + 144*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03318035601 rounded to 6 dps?\nAnswer: -0.03318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5\/19 + 3622*r**4\/19 - 96784*r**3\/19 + 85898*r**2\/19 + 186300*r\/19 = 0?\nAnswer: -1863\/2, -1, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**3 + 61*x**3 - 37*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k - 2. Let v be h(-5). Solve o = -v*b + 4, -b = -2*b + 4*o - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(78\/(-5))*6*16\/(-120)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9533\/5 + 171733\/90. What is the common denominator of j and 33\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (456\/(-513))\/((-2)\/117). Calculate the greatest common factor of 442 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*j + 12, -f + 4 = 3*j - 5*f. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1366*v**2 + 2740*v**2 - 1 - 1373*v**2. Let h(a) = -3*a**2 - 4*a + 3. Determine h(k) + 4*m(k).\nAnswer: k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, -3*r + 3*i + 186 = -6*r. Let u = r + 253. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711596465?\nAnswer: 5, 43, 3309751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 550004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 10. Let w be (n + 12)*5\/3. What are the prime factors of ((-2)\/w)\/((-3)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5\/3)\/((-3)\/(-18)) and ((-12)\/24)\/(1\/(-16))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 916000?\nAnswer: 2748000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145802, -583112, -1311962, -2332352, -3644282?\n\"Answer: -145770*q**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 12, 6*s = -20*o + 22*o + 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, 6, -34.6 in decreasing order.\nAnswer: 6, 0.3, -0.5, -34.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25464, 25466, 25470, 25476, 25484, 25494, 25506?\n\"Answer: g**2 - g + 25464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -17053*i. Let k(o) = -4*o**2. What is k(l(q))?\nAnswer: -1163219236*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41\/((-1599)\/884) - 10)*((-36)\/8)\/3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/2340 + m**5\/260 + 2*m**3\/3 + 19*m**2 - 46. Let t(r) be the third derivative of p(r). Factor t(u).\nAnswer: -2*u*(u - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-6)*14)\/((-130)\/(-15) - 9). Which is bigger: 1\/560 or y?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**3 + 9*d**2 - d - 6. Let q(t) = 5*t**3 + 4*t**2 - t - 3. Let p(b) = 2*i(b) - 5*q(b). Let j be p(-2). Let c = -18 + j. Solve -4*u + c = -9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 5, x: 2}. Give prob of sequence xxp.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98403.93mg to grams.\nAnswer: 98.40393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*r - 1 + 1 - 122*r.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*g - 19138 = -4158, 5*n - 37464 = 3*g. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 578*p - 204*p + 5*p**2 + 3 + 2126*p - 4*p**2 as g*p + k*p**2 + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -211*z - 7. Let m(v) = 844*v + 31. What is -9*a(k) - 2*m(k)?\nAnswer: 211*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -439, -1076, -1967, -3112, -4511, -6164?\n\"Answer: -127*x**2 - 2*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 5*d - 1. Let j be g(-4). Let p = j - 2. Suppose h - 49 = -h + 3*u, -u = 5. What is the remainder when h is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-162)\/(-30)*25\/3. Suppose 5*z + 184 = -0*z - 4*r, 5*z + r + 196 = 0. Let h = s + z. Solve -3*g - 4*j = -8, -h*g = -4*g - 2*j + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:58 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23*-2*(-1)\/2. Let t = 26924 + -26717. Calculate the highest common factor of h and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -17*u + 710. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((sqrt(28) + sqrt(112)\/sqrt(4))\/sqrt(4)) + -2 - (sqrt(56) + 1*sqrt(3584))\/((sqrt(8) + sqrt(200))*-3))**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {z: 9, a: 5, p: 1, y: 1, g: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1305, 0.053, 5, 118.\nAnswer: -1\/1305, 0.053, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*f - 3*f + 4*f - 264 = -3*g, -4*f + 324 = 4*g for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62244289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0918849 to 4 dps.\nAnswer: -0.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*s - 237, 290 = 5*k + 4*s + s. Suppose k*t - 58*t = 20. Solve -t*m - 2 = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3256 is divided by 322?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2265*c + 38783. Calculate b(17).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140555, -140442, -140333, -140228, -140127, -140030?\nAnswer: -139937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6819*c**2 - 256037 - 500*c**2 + 256035 - 3526*c wrt c?\nAnswer: -14638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/23)\/(l*l\/l**(-2\/13))*((((l*l*l\/(l*l**23))\/l)\/l)\/l)\/(l\/l**(-4)) assuming l is positive.\nAnswer: l**(-9341\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*h)*(3 - 4 + 3) - 2*h + 6*h - h in the form u + n*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f. Let i be ((-12)\/16)\/((-6)\/76). Let q = -9 + i. Is q less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3644, 3650, 3670, 3710, 3776, 3874, 4010?\n\"Answer: z**3 + z**2 - 4*z + 3646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 158. What is the remainder when q is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Suppose 3*p = 4*p - 3. Suppose -m*q - 13 = 4*i, 3*q + 5*i = p*i - 5. Is 0 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.06469 rounded to 1 dp?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let o = -6 - h. Put -0.1, o, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**5*l)*l*l**(-2))\/((l\/l**(-6))\/l**(5\/3)))**43 assuming l is positive.\nAnswer: l**(-1462\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -914 - -818. Let g be 9\/(-12)*v\/36. Solve 15 = -g*b - 0*n + 3*n, 2*n = b + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 <= 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17783, 17786, 17789?\n\"Answer: 3*h + 17780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 47. Does 7 divide n(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78.125 - 64.86. Let c = -13 + w. Round c to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 29. Give o(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2336*v**2 + v + 1503356?\nAnswer: 4672*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7674\/13 - 590. Calculate the common denominator of h and -74\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 0.0529?\nAnswer: 0.0529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 7*x + 6 - 5\/2*x**2 - x**3. Let w(y) be the first derivative of b(y). Differentiate w(m) with respect to m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1093*o + 2. Let v(x) = 1640*x + 3. Determine -7*l(w) + 5*v(w).\nAnswer: 549*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*c + 2*w, -w - 2*w = 0. What is the common denominator of 19\/10 and 3*c\/20*(2 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 4578875.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 50 = 34. Let i be 204\/21 + (-8)\/t. Suppose -135 - 65 = -2*q. Calculate the greatest common factor of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19056.7034 + -19055. Let h = -1.2 - -2.9. Let i = r - h. What is i rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/60*(8 - 50\/6). Let b(f) be the third derivative of 0*f - 1\/18*f**3 + 0*f**5 + j*f**6 + 2*f**2 - 1\/36*f**4 + 1\/630*f**7 + 0. Factor b(x).\nAnswer: (x - 1)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000 (base 2) in base 6?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 divided by 3?\nAnswer: -970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**3 + 3*y**2 + 6*y - 4. Let r(h) = 82*h + 3*h**3 + 1 - 2*h**3 - 83*h. Give k(l) + 4*r(l).\nAnswer: -2*l**3 + 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + y**2 - 3*y - 1. Let m(v) = v**3 - v**2 - 1. Let d(x) = -b(x) - 3*m(x). What is d(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80797 and 1982345?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -41*w - 52. Let c be q(-10). Suppose 4*v + c = 2098. Suppose 6*j - 225 = v. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -3\/2 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19\/86 - 2413\/3870. Calculate the common denominator of 83\/170 and b.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0, -1.1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 - 19*p**2 + 17*p**2 - p + p**4 to the form q*p**4 + k + t*p + j*p**3 + o*p**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1714, -1708, -1698, -1684, -1666, -1644?\n\"Answer: 2*d**2 - 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 955 + 719 - 1674 + 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 303 = -423. Solve h*d - 8 = -0*r + 4*r, 2*r + 4*d - 14 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-1))\/(9152\/(-51392))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, a: 4, t: 2}. Give prob of picking 4 a.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53 * 621824.\nAnswer: -329566.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 12*u**2 + u - 14. Let x be a(12). Let z be ((-35)\/x - 1) + 1\/2. Suppose g - 4 = -y + 12, g = -2*y + z. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 9*c - 4. Suppose -6*z + z = -30. Let b be t(z). What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 3*g - 3*g + (-2 + 3 + 0)*(2*g**2 + 0*g**2 + 0*g**2) + 348*g**2 + 334*g**2 - 590*g**2 + (0*g + g - 2*g)*(2*g + 4*g - 5*g).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 106*k**3 - 5*k**2 - 41*k - 54. Calculate s(-2).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12372254 and -103.4822?\nAnswer: 12372150.5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = 2*f. Let y be f + 0 + (0 - -2). Suppose 25 = y*r - 3. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 362603000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**4 + 929298*w**3 - 26987452812*w**2 + 6746805122*w.\nAnswer: -2*w*(w - 58081)**2*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.02 (b) -0.29 (c) 3\/4 (d) 189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/5)\/((-1)\/5). Let t = w - -93. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 + 12. What is the least common multiple of 22 and a(0)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7069668 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42585, 42581, 42575, 42567, 42557?\nAnswer: 42545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 3.9. Which is the smallest value? (a) l (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*4 - sqrt(15)\/(sqrt(15)\/sqrt(3)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 2, 0 in ascending order.\nAnswer: -10, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from hbhccbhbbqchhhbbbb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692258.\nAnswer: 2, 7, 197, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - 0 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 32 = -n, -5*h + 1153 = n + 1325 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2314, -2787, -3576, -4681, -6102, -7839, -9892?\n\"Answer: -158*z**2 + z - 2157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237322555*a - 76150282 wrt a?\nAnswer: 237322555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187 divided by -12.\nAnswer: -1187\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-3 + 9 - -1). Let i(r) = -115*r + 45*r - 5 - 633*r. Is i(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(x**5 + 0*x**5 - 3*x**5) + (-5*x + 4*x + 0*x)*(-x**4 + 0*x**4 + 3*x**4) - 6*x**5 + 3*x**5 - x**5.\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -8*c + 3*c, -u = -4*c - 7730. What are the prime factors of u?\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 16 = -19*z + 3*y, y = -2*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1373 + -1349. What is the remainder when (238\/6)\/((-2)\/(-6)) is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g**2 + g + 8 - g + g**2 - 102*g**2.\nAnswer: -155*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.92 - -0.08. Let z be 10860\/13575*3\/(-4). What is the closest to 1 in -0.1, z, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532\/245 - (-366)\/915?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.4 (c) -3\/5 (d) 0.4 (e) -0.5 (f) -20200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 12. Let t be f(-5). Let q be ((-8)\/t)\/((-3)\/(-9)). Suppose 2 = -q*x + 9*x. Solve -5*b - 6 = -x*b, 0 = -2*k + 5*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -65, -160, -313, -536?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (12 - 8 - 15 - 10) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 37*p**2 - 155*p**2 + 81 + 62*p**2 + 70*p**2 + 85.\nAnswer: 14*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.92 - 5. Let g = j + -0.12. Which is the second biggest value? (a) -0.5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 6 - 47 = 163 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 85 + (-25 - 3 - 179)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2*r**3\/21 + 53*r**2\/14 - 12*r - 4731. Factor a(s).\nAnswer: (s + 28)*(2*s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 100 = -10*f. Find q such that 3\/4*q**f - 9\/4*q**3 + 0*q**2 + 3*q + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 1 = -2*m, -m + 6 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - 3*g. Suppose -1 = n - 7. Let m(l) = 9*l**2 + 7*l. Let y = 9 + 5. What is n*m(w) + y*s(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + s - 10 + 16 = 0, -2*m + 2*s = -6. Let x(c) = 4642*c**2 + 6*c - 3. Is x(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(52)\/sqrt(4) + sqrt(13) + 4) - (sqrt(637) + -1).\nAnswer: -8*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -2, 5, -528, 3.\nAnswer: -528, -26, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/87864 and -155\/193432596?\nAnswer: 386865192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173\/143 + 15\/11. What is the closest to -0.2 in -3, r, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 2*w**2)*(2*w - 2 + 2) + 3393 - 3393 - 2*w**2 + 270*w**3.\nAnswer: 274*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165327\/316 or -3?\nAnswer: -165327\/316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4342376?\nAnswer: 2, 542797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -572177738*-1\nAnswer: 572177738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9542 (b) -5 (c) -4\/3 (d) 4009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002210121200 (base 3) in base 9?\nAnswer: 1083550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25257, 50500, 75717, 100896, 126025?\nAnswer: 151092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7771 - 3883 - 125*l**2 - 79*l**2 + 207*l**2 - 3888.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - 9\/(567\/(-266)). Solve 4*u = -d*z + u - 21, 5*z - 2*u = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from {i: 1, u: 1, c: 2, v: 3, s: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2. Let s(b) = -b**2 + 5*b. Let h(a) = a. Let k(l) = -5*h(l) + s(l). Give k(m(v)).\nAnswer: -169*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16969367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100030244 - -1311?\nAnswer: 100032110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39480?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + u. Let n be (1 - 6\/3)\/1. Let c be p(n). Suppose 14 = c*x - 42. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)\/(-2 - -1). List the prime factors of 15\/(-9)*(-1 - t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55 - 84?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19362 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1219 - -1212) + -1 + -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92, 171, 250?\n\"Answer: 79*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7864925.5 rounded to the nearest 10000?\nAnswer: 7860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -6*g + 16, -d + 9 = 2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 35*f**2 + 104*f - 873. Calculate b(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:44 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 170136940*q**2 + 3501125 wrt q?\nAnswer: 340273880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 11\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 3*p**2 - 2*p + 4. Determine f(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -41*q**2. Let g(v) = -3*v**2. Determine g(u(f)).\nAnswer: -5043*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aemm when four letters picked without replacement from meammmemmemme.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 353\/537186 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 18*q**2 - 17*q - 33. Let r be d(19). Suppose -r*c + 8339 = -1416. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0888274429 to five dps.\nAnswer: 0.08883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 136 - 109 = 0. Let i = -11 + 10. Sort i, q, 5, -13 in increasing order.\nAnswer: -13, i, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4)**15*(p*p*p\/p**1*p)**(-25))**44 assuming p is positive.\nAnswer: p**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17412*g + 77251 = -17345*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*x**2 - 4 + 8\/3*x.\nAnswer: 4*(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.44000811 + -4.84000864. Let i = h + -6.6. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/80*-4)\/(10\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*r + 7 = -2*a, -2*r - 14 = a. Let q(i) = i + 8. Let p be q(a). Solve 3*w - 2*w = p*b + 7, 2*w - 2*b = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let k = 13240 + -13240.3. Which is the closest to z? (a) -17 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13539069 not equal to -13539072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v**3 + 4*v**2 - 9*v + 9. Let s(x) = -7*x**3 + 2*x**2 - 4*x + 4. Calculate -9*s(i) + 4*u(i).\nAnswer: 3*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) - (-4)\/10. Let a = 0.54703 - 0.04703. What is the nearest to p in a, 6, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - (2 - 6) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/42 - 8\/6)*(7 + 1668\/(-236)).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 35*p - 50. Determine z(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 5. Let w(p) = 40*p + 11. Let h(x) = -21*x - 5. Let i(k) = -11*h(k) - 6*w(k). Suppose -9*b - 431 = -377. What is b*i(y) + 13*m(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 50*i**2 - 37*i + 42. What is the remainder when h(-25) is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + g = 1, -5*b + 10 + 1 = -3*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2643\/4 + 661. Let m = 11 + -8. Let w be (-8 - -2)*m\/2. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.781 to 1 dp.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 17*b. Let c be 56\/(-294)*210\/20. Let d(v) = v**3 - 9*v**2 + 67*v + 1. Give c*d(m) - 9*y(m).\nAnswer: -2*m**3 + 19*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 14. Suppose 0 = 2*y - k, 23 = v - 0*v - 3*y. Let l = v + -19. Solve -l - 3 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g, -5*l - 3*g + 11 = -0*g. Let h = 11 + l. Let n = 21 - h. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/22 and 31\/12562.\nAnswer: 12562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 3. Let h be q(2). Suppose -225 = -h*p + 258. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -62*u + 180. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -33, 23, -3 in ascending order.\nAnswer: -33, -3, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2*m**2 - 3*m + 2. Suppose 39*o - 43*o = -8. Let z be r(o). What is the tens digit of (590\/(-20))\/(2\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 851 divide 91987020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -70. Sort a, -135, 4, 0 in decreasing order.\nAnswer: 4, 0, a, -135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -5451?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1782, -1778, -1772, -1764, -1754, -1742, -1728?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 14) to base 13\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.644 + 0.644. Put -0.5, 2\/9, d, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/9, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-1 + 14\/8). Suppose 5*u = g*u. Suppose 4*r - 176 = -u*x + 4*x, r + 2*x - 29 = 0. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2099*a**3 - 2100*a**3 - a - 2095*a**3 + 8396*a**3 + 2*a**2 - 2098*a**3. What is j(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185194.3 weeks in microseconds?\nAnswer: 112005512640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -73. Suppose 5*u - l = -2*d + 4*d, d - 3 = 0. Solve 2*n - 3*o - u = -7*o, -n + 4 = 5*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 - 41*m + 41. Let u(h) = 2*h. What is i(u(l))?\nAnswer: -4*l**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = -0*y + 5*y + 2*a, -4*a = y - 213. Calculate the remainder when y is divided by 72.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11456 by -5728.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*k = 88, 0 = -2*k - 3 + 7. Factor x**3 - 24*x - 4*x**4 - 5*x**3 - 96 + h*x + 40*x**2.\nAnswer: -4*(x - 2)**2*(x + 2)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 11. Let v be y(-7). Find the common denominator of v\/7*481\/52 and -76\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - 5. Suppose o*n - 4*n + 42 = 0. Let w = n - 19. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3175 and 34546540?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12995, 25218, 37439, 49658?\n\"Answer: -v**2 + 12226*v + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/5 - 138*p**3\/5 - 224*p**2\/5 + 76728*p\/5 - 473984\/5 = 0.\nAnswer: -46, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20568.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46729998 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -39350 and 610007390.\nAnswer: 609968040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 - -7 - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - s = 24 + 57, 3*f = 5*s + 69. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24674*b**3 + 1137*b + 2073434 wrt b?\nAnswer: 74022*b**2 + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351595704?\nAnswer: 2, 3, 61, 137, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 2, -2\/3, -0.02 in increasing order.\nAnswer: -2\/3, -0.02, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10) + (-190)\/900?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -72*l**2 + 2. Let m(n) = 4*n. What is g(m(b))?\nAnswer: -1152*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:30 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 4. Let o(m) = 6*m**2 - 2*m**3 - m + 3*m**3 + 0*m**3 - 2. Let c be o(-6). Calculate the smallest common multiple of x(c) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-10))\/(6\/16). Let o(z) = 5*z**2 + 2*z - 4 + 0*z + z**3 + 0*z**3. Let u be o(j). Solve 6*i - u*i = 5*c + 11, -5*i + 20 = -5*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855 - 9452 + 1077 = -465*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8249 times 0.3\nAnswer: -2474.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from aaafaabaddaaaaddoa.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 16. Suppose -2*a - c - 22 = a, -q = a + c. Calculate the least common multiple of 6 and 2\/a - (-1560)\/70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.696 years to decades.\nAnswer: 26.1696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000099330853 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1037385 divided by 1037385.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0894298331 - 1040118\nAnswer: -1040118.0894298331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 40 = -23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14588 is divided by 239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3027.75 and 3.745?\nAnswer: -11338.92375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2787\/4462?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 78*j - 1388. Calculate q(-35).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*y + 12330 = 53*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-45 - -13) - (6 - (-1 + 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let w = -50 + 50. Suppose 2*q - 5*o - 17 = -0*q, 2*o + 10 = w. Sort k, -8, q in increasing order.\nAnswer: -8, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/15 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 10 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-3)\/((-9)\/(-42)). Let i = 245 + -247. Let c be ((-20)\/5 - -4)\/i. Solve c*y - m = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 43. Suppose -5*g + 2 + u = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 2622313.615?\nAnswer: -2622313.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-42 - (24 + -22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1 minus -0.127?\nAnswer: 8.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82637*v = -82711*v + 3922 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(77)\/(sqrt(7) - ((1*sqrt(7) - sqrt(7))*4 - sqrt(7))) - (4 + sqrt(11) + (sqrt(55)*2)\/sqrt(5))**2).\nAnswer: -112 - 47*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -47, -101, -175, -269?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 10:07 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1963*a**5 + 22*a**2.\nAnswer: -117780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(-20)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - (sqrt(66) + -1*sqrt(66)))*-2)\/(3*sqrt(18)\/sqrt(3))*1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 8) to base 2\nAnswer: 111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011001110100011010 - -100110110?\nAnswer: -1111011001101111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let v = b + 2. Suppose 2*s + 11 - 3 = 0, -v*s = -o + 14. Solve -15 = o*q - y, 0 = -q - y - 3*y + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*f**3*x - f*x - 10*f - 8*x wrt f.\nAnswer: -786*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 87\/746956?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49055 - 14772. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 0 + 1 - (1 + sqrt(1331) + 1) - (5 + -5 + 1 + sqrt(1331)))**2.\nAnswer: 44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1d82c80?\nAnswer: -1d82c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 45*o**2 - 82*o - 176. Calculate j(43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*s**5 - 86*s**4 - 8845*s.\nAnswer: -860*s**3 - 1032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 11514?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/8)\/((-5)\/(-20)). Let u(g) = -g**2 + 7*g. Let b be u(w). Factor b*f**3 + 4\/3*f**4 + 0 - 2\/3*f + 2\/3*f**5 - 4\/3*f**2.\nAnswer: 2*f*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 11*o**2 + 2*o + 24. Let g be j(-11). Let m = 1200 + -1213. Sort -4, m, 0, g in descending order.\nAnswer: g, 0, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -100. Suppose 0 = -t*c + 2*c + 27. Solve 0 = 5*v - c - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18737, -37413, -56089, -74765?\n\"Answer: -18676*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2216\/238 - (-10)\/85) + 996\/1743?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789734*a*o**2 - 687*a - 4*o**2 + 1015*o wrt o?\nAnswer: -1579468*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10) + (-46018)\/(-1330)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.241 + 17.249. Let j = 1.07 + s. Let x = 1.96 - j. Round x to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32884226.63 to the nearest ten thousand.\nAnswer: 32880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.02544.\nAnswer: -0.010176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*5*-1. Let q(a) be the second derivative of -a**3\/6 - a**2\/2 - 11*a. What is q(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133400 is divided by 133108?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6447 + 11810. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/16192 and -73\/30976?\nAnswer: 712448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*2*156\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let y be o(-3). Suppose 0 = -4*f + 2*z - 14, y*f - 2 = -2*z + z. Let v = 19 + -20.2. Is f at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*h + 5, s - 5*h + 14 = 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let v(k) = 16*k + 6. Let z(a) = 175*a + 65. Let h(d) = 65*v(d) - 6*z(d). Determine h(n(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 221 = -71 - 8 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8909.072 weeks to microseconds.\nAnswer: 5388206745600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/2)\/(6\/8) is divided by (8\/(-10))\/(14\/(-35)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 1. Let b(a) be the first derivative of 3*a**2\/2 - 3*a - 20. What is -b(u) + 4*y(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 1, i: 1, q: 2}. What is prob of sequence ivj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 44 = -9. Suppose a = 4*a - 42. Let z = a + h. Solve -z = t - 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:21 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 29*i**3 - 1. Let a be w(1). Let n(d) = 3*d - 33. Let c be n(16). Let l be (1 + 27)\/(6\/c). What is the greatest common divisor of a and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*d = -111 + 147, 0 = -2*z - 15*d + 126 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -245*p**2 + 3*p + 1857. Let a(g) = 489*g**2 - 4*g - 3713. Let x(s) = 3*a(s) + 5*c(s). Differentiate x(d) wrt d.\nAnswer: 484*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (24\/(-9))\/4 + 4121\/6240 and 71\/112.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0 + 0*v - 9*v**2 - 1\/6*v**4 - 7\/6*v**3. Calculate the remainder when 81 is divided by y(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 4. Suppose 6*j - 12 = 2*j. Let x be y(j). Let d(q) be the third derivative of -q**6\/120 + q**5\/10 - 5*q**4\/24 - q**3 - q**2. Calculate d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8397.438 millennia in decades?\nAnswer: 839743.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*k + 376*k + 51*k + 144*k + 152*k + 273*k.\nAnswer: 768*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, d: 6, n: 1, u: 2, g: 1, f: 1}. Give prob of picking 1 d, 1 n, 1 g, and 1 p.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 463701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/50 - 3*i**5\/50 + i**3\/5 + 3*i**2\/10 - 28*i. Find q such that m(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -8, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 4*u**2 + 3*u**2 - 1 + u. Calculate y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241 (base 11) in base 2?\nAnswer: -1000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 895\nAnswer: 19\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/708 and -10?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 48*o**2 + 7*o + 24. Let q be j(-5). Let c be (-72)\/(-96) - (-3)\/((-48)\/(-644)). What is the highest common factor of c and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -10110?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4725879 and 80\/2671149?\nAnswer: 61436427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 340e (base 16) in base 13?\nAnswer: 60b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68262 is divided by 22609?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202.746 rounded to the nearest 10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d**2 + 8*d + 8. Let v(j) = -4*j**2 + 3*j + 3. Let z(m) = -3*f(m) + 8*v(m). Let x(l) = -10*l. Calculate z(x(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -0.4, -41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41748 is divided by 240.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12469076.\nAnswer: 2, 3117269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (156\/117)\/(2\/6). Solve 15*u - 14*u + z = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 5*h + 2. Let r be i(-5). Suppose 0 = r*b + 2*b - 4. Let a(m) = -988 + 1898 + m**2 - m**3 - 910. Determine a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + 5*g = 44, -3*y = 4*g - 52. What is the first derivative of 12*n**2 + y - 19 + 21 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 16 + 0*i**3 + 2*i**3 - 11*i**3.\nAnswer: -9*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 + 73672661?\nAnswer: 73672732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = -2. Let s(u) = -10*u - 5. Let a be s(d). Differentiate 6 - 2 - a*b**4 - 3 + 38*b**4 wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*w + 12, -4*s + 2*s + w = 11. Let f(m) = 212498*m - 16. Let y be f(s). Round y to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195.43 micrograms in tonnes?\nAnswer: 0.00000000119543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 676*i**2. Let l(v) = -13575*v. What is n(l(h))?\nAnswer: 124573702500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 33 - 6*c + 30 + 6*c - c**2. Let x(k) = k**3 - 7*k**2 - 2*k + 8. Let f be x(7). Let n(j) = 4 - 5 + 0 - j. Give f*n(i) + 2*l(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13389286 to the power of 1\/2, to the nearest integer?\nAnswer: 3659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2132 + -11?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + 56. What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpgpgjjpnjjjbgj. Give prob of sequence gng.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11355355 (base 6) in base 3?\nAnswer: -200011120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 5*a**4\/12 - 19*a**3\/6 - 15*a. Find the second derivative of w(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j + 18*j - j**2 + 15*j - 3*j + 15*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s**(-1\/6)\/s)\/s)\/s*s*(s\/(s\/(s**(1\/34)*s)))\/s)**(-19))**(9\/10) assuming s is positive.\nAnswer: s**(1653\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170578?\nAnswer: 2, 585289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w. Let b(j) = 5*j**2 - 10*j + 1. Let l(t) = b(t) - 4*k(t). Suppose -z + 1 = -5. What is the units digit of l(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*l + 3, i - 5 = 3*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(7 - 7 + 2*p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1078017 (base 9) to base 11.\nAnswer: -3691a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.30056 to 1 decimal place.\nAnswer: 49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 70 + 70.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 2}. Give prob of picking 2 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 - -467.7. Let u = 29.7 - c. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - 6*u - 7. Let r be y(-5). Let h = r - 144. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8244689.\nAnswer: 19, 433931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6180797718?\nAnswer: 2, 3, 114459217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1295147\/9 or -143906?\nAnswer: -1295147\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1023 and 29\/2325.\nAnswer: 25575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 u, and 1 r when four letters picked without replacement from ureurrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2. Let n(w) = -21*w**2 - 128*w**2 - 54*w**2 + 333*w**2. What is l(n(t))?\nAnswer: -67600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 16 + 4. Suppose -f*n = n - 805. Calculate the highest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782607351 to the nearest integer?\nAnswer: 27975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*w + 32 = 2, -5*w = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdfprfpt. Give prob of picking 1 r and 1 f.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = b + 411, 2*r - 3*r + 2*b = -84. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 e when three letters picked without replacement from {g: 1, x: 1, w: 5, e: 1, z: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 11*p. Suppose 0 = -g + 2*g - 8. Let m be n(g). Is (-16551)\/(-19) - m\/380 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:08 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 2 - 29*z**2 + 42*z**2 - 9*z**2. Give j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 154\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 45*a**2 + 48*a**2 - 20*a**2. Suppose 2*n = 6*n - 79072. Let k(j) = 19770*j - 4 + 4 - n*j. What is k(p(x))?\nAnswer: 146*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 1055*n**3\/6 + 2747*n**2\/2 + 1336*n. What is the derivative of o(w) wrt w?\nAnswer: -2*w - 1055","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -16)\/(-1 - 2). Let k be (-551320)\/105 + 15\/9 + c. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 22113233?\nAnswer: -22120003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6103 - 6075. Solve -286*u - h = -293*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 3 + -15 + 24996 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948*f = 956*f - 80. Solve -9*t + f*t + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16201*j**2 - 238*j. Let c(n) = 540*n**2 + 8*n. Let x(o) = -4*a(o) - 119*c(o). Let l(z) = z. What is x(l(i))?\nAnswer: 544*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -26, 241, 760, 1615, 2890, 4669?\nAnswer: 7036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*m - 3*m. Let s(d) = -1 - m*d**3 - 2*d**2 - 2*d - 11*d**3 - 8*d**3. Is s(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/3 - 2968*m**2 - 3637760*m - 3143526400\/3 = 0 for m.\nAnswer: -560, 10024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 3*h**4 - 2*h**4 + (1 - 1 - 2*h**3)*(-2*h + 5*h - 2*h) - 5*h**4 + 0*h**4 + 4*h**4 + 2*h**4 - 2*h**3 + 2*h**3)*(-5*h + 3*h + 3*h).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + f**2 + 1)*(-4*f + 3*f + 3*f)*(7*f - 61 + 61) in the form j*f + b*f**3 + y*f**2 + h + c*f**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 2. Let i(x) = x**2 + 6*x + 5. Let n be i(-6). Let v = n + -2. What is the lowest common multiple of j(v) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430b (base 14) to base 9.\nAnswer: -16781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*c + 119*c + 14 - c**3.\nAnswer: -c**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13667, 13667, 13665, 13661, 13655, 13647?\nAnswer: 13637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104364 and 936.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/6*437817\/209. Let i = d - -9760. Which is smaller: i or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12*3)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 7}. What is prob of picking 1 p and 2 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 885102 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrzrwwzrr. Give prob of sequence rzzr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1660*h**2 + 41*h - 626. Let z(m) = -m**2 + 7*m - 3. Let c(t) = x(t) - 6*z(t). Differentiate c(d) wrt d.\nAnswer: -3308*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1 - 408*u**3 + 13*u**2 - 13 + 413*u**3. Find the second derivative of q(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1251633 divided by -1251633.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g + 2. Let o(c) = -c**2 + 6*c + 2. Let w be o(6). Let f be x(w). Suppose -u = -f - 2. Solve 2*s - s = -4*b - 21, 0 = -u*s - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.3 (c) -2\/5 (d) -2\/3 (e) 1\/2 (f) 3247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:32 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12*(-3 - -2). Suppose -3*m = -0 + 18. Let n be 1\/(-6) + 2\/m. Put n, i, -4 in ascending order.\nAnswer: -4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a + 145. What is x(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 937899934 to the power of 1\/2, to the nearest integer?\nAnswer: 30625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/19 + 579\/532. Suppose 5*g - 1 - 4 = 5*u, 2*u + 6 = g. Let i be g - -3 - (1 - 2). Is x at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let b be v(6). Calculate the highest common factor of 66 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110349 (base 13) in base 8?\nAnswer: -1416046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 + i**4\/24 - i**3\/3 - 2*i**2. Suppose -y + 2*z + 4 = -0*y, -5*y = 2*z - 8. Calculate m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2. Let m(z) = z + 162746. Give m(f(i)).\nAnswer: -6*i**2 + 162746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.03. Let j = k - 0.09. What is the biggest value in 0.3, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**3 + 3*z - 3*z**4 + 7*z - z + 2*z**4 - 15*z**2.\nAnswer: -z*(z - 3)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 - 373. Let a(y) = -4*y - 2*y - 8 + 4*y. Let z be a(i). Put 1\/4, -2\/3, z in decreasing order.\nAnswer: 1\/4, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-3 - 62) - -8) + -2 - 10?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.38022 rounded to 1 decimal place?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetettteet. What is prob of sequence et?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:24 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {h: 14, l: 1, b: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + 102 + 74. Let i be (8\/5)\/(-4 + k\/(-5)). Suppose 4*w = i*q + 7 - 31, 3*q + w = 22. Solve 9*d - q*d - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28403180 divided by 5680636.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 + 7*p**3\/3 + p**2 - 3*p + 1. Let r(l) = l**2 + 60*l + 286. Calculate the remainder when v(-6) is divided by r(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -6\/7 (b) -1 (c) 1 (d) 3 (e) -8\/3 (f) -5\/1451 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -148\/3. What is the biggest value in 0.3, i, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -16. Suppose -4*c - 80 = -h*c. What is the greatest common divisor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/31509702 and 107\/188230.\nAnswer: 157548510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o**2 + 17*o**2 + 4*o**2 + (-o - 3*o**2 + o)*(1 + 5 + 1))*(0*o**3 + 4*o**3 - 5*o**3).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 9. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*r, 0*w + 4*w + 5*r - 17 = 0. Let n be (0 + w)\/((-2)\/4). Suppose n*a - 6*a = -56. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 628*h**5 - 5*h**4 + 536*h - 5. Let a(j) = 313*j**5 - 3*j**4 + 268*j - 3. Let t(w) = 5*a(w) - 3*i(w). Find the second derivative of t(n) wrt n.\nAnswer: -6380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 2456.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from {a: 5, x: 2, z: 1, v: 3, c: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-119 - -121)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/((-4)\/(-2464)). Let t = -299 + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 less than 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/108 and -47\/2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/103707 or 0?\nAnswer: -10\/103707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172 - -171.8. Put y, 1, 1\/3 in ascending order.\nAnswer: y, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 4*v**2 - 3*v**2 + (0 + 0 - 2*v)*(-v + 3*v + 0*v) + (4 - v - 4)*(-3*v + 5*v - 3*v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 4. Let k(r) = 2*r - 6. Let d(f) = -f + 5. Let u(h) = 3*d(h) + 2*k(h). Let i = -17 + 18. Let t be i\/(-2) + (0 - 30\/12). What is t*v(m) + 4*u(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + -19 + 18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -2 + -87 + 109 + 11 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-12.1708.\nAnswer: 377.2948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 1095, 2421, 4267, 6627?\nAnswer: 9495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 75 = -75 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (132\/63)\/((-5)\/((-60)\/8)) + -2. Suppose 0 + 2\/7*v**2 + f*v = 0. Calculate v.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 48 = -12*z, 5*z = -304*h + 302*h + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/848 and 29\/576322.\nAnswer: 4610576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/5)\/((-756)\/(-685440)). Calculate the highest common divisor of c and 4608.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 7*u - 3*u + 70, 2*s + 47 = -3*u. Let a = -6 - s. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161 - -81) + -9 + (3 - 0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243343 or -3163471\/13?\nAnswer: -3163471\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 120*t**2 - 1. Let k(d) = d**3 + 5*d**2 + 4*d + 2. Let h be k(-3). Let z be h\/28 - (-10)\/14. Is a(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and 13412 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14640518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**21\/g)\/g)\/(g\/(g\/(g*g**(3\/23))*g)))\/(g*g**(-5\/6))**25)**(-24) assuming g is positive.\nAnswer: g**(-8116\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -26)\/(671\/(-22)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, l: 4, q: 1}. Give prob of sequence lnnn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - n = 598 - 63, -n + 350 = 2*g. Solve -5*d - 6 = -f, 183 - g = 3*d - 3*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 329*w**5\/12 + 53*w**4\/12 + 5*w**3\/3 - 257*w**2 - 3. What is the second derivative of q(g) wrt g?\nAnswer: 3290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - (-65)\/(-20). Let b(q) = q**2 + 2*q. Let m be b(3). Let t = m + -11. Sort -4, f, t in descending order.\nAnswer: t, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*3.2.\nAnswer: 89.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + 63. Suppose -n = -j + 60. Calculate the greatest common factor of n and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 15 - (-7 - -11) - (122 - 81)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let o = 23 - l. Let n = -22.9947 + o. What is n rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81612, -81620, -81628, -81636?\n\"Answer: -8*u - 81604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 14*p - 18. Let t be i(-13). Let w(d) = d**2 + 3*d - 5. Let u be w(t). Suppose u*s = 84 + 16. What is the least common multiple of s and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4*a - 4. Let p be s(-4). Suppose -p = -75*g + 89*g. What is the third smallest value in -40, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 30. What is i(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 3*y + 141 = 0, 0 = -13*x + 18*x + 2*y - 78. What is the remainder when 1454 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -33. What is the greatest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -2, -21\/2, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -433, -818, -1189, -1450, -1505, -1258?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*d = 3671 + 4369 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8655331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 3*b + 3 = 5*k, 3*k - 9*b - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 6573696?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46605 divided by -1\nAnswer: 46605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + 1 - 3 - 3 + (1 + 3 - 2)*(-3 + 4 + 0) - 3 - 1 + 3)*(0*b + 0*b + b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-21) - (-3 - (-4)\/6). Let v(r) = -r**2 + r - 1. Let t be 2\/9 + 84\/108. Let c(h) = h**2 - 3*h + 4. Calculate p*v(l) + t*c(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4321 - 2850. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 1, a: 1}. Give prob of sequence gd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*z - 8 = 0, -4*n - 3*z + 32 = z. Let i be 760 - (n\/2 + -2). Suppose 3*t - 2*k - 2163 + i = 0, -5*k = -3*t + 1402. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1314861, -2629725, -3944589, -5259453, -6574317?\n\"Answer: -1314864*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-7 - -19) + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in 0.2, 3\/2, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/(-75) - (1 - -1). Let a = 97\/90 - b. Calculate the common denominator of -3\/10 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 9*x**2 - 3*x + 1. Let k be y(-9). Let s be 8\/k - 36\/77. What is the closest to 0 in 4, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:55 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times -77219?\nAnswer: 3783731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose 2*f = z*l - 60, 2*f + f - 97 = -5*l. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/4)\/(959\/(-274)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1407, -1003, -323, 639, 1889, 3433?\n\"Answer: n**3 + 132*n**2 + n - 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5532 rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {r: 5, h: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/101925 and 103\/22650.\nAnswer: 203850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 5180358.\nAnswer: -5180372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 9\/5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218 and 8.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -1.8. Sort -3, u, -0.05 in decreasing order.\nAnswer: u, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265 - -277. Calculate the least common multiple of 84 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 142264759 and 16.\nAnswer: 142264775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 2*y)*(-y + y - 3*y)*(1 + 3 - 7).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165944 divided by -287.\nAnswer: 165944\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.18855ug in tonnes?\nAnswer: 0.00000000004218855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-8))))\/k*k**(13\/4) assuming k is positive.\nAnswer: k**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 10*j - 35. Calculate r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 m, and 1 l when four letters picked without replacement from {l: 4, r: 1, m: 7, f: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 94 - 25. Let u = z + -3. What is the tens digit of (-4)\/u - 590\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422*x - 119343*x**2 + 119345*x**2 - 2218*x)*(-5*x + 2*x + x + (0*x - 5*x + 3*x)*(0 - 3 + 5) + 3 - 2*x - 3).\nAnswer: -16*x**3 + 14368*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 7 = -3*n, x - 34*n = -30*n - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.5, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*f - 107*f + 5 = 0. Let m(o) be the first derivative of 5\/12*o**4 - 1 - 1\/15*o**f + 0*o - 8\/9*o**3 + 2\/3*o**2. Solve m(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191.3 - 193. Let k = -55.1 - -53. Let c = m - k. What is the biggest value in -4, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 20*h. Let z = -23 + 22. Let n be ((0 + 2)*z)\/1. Let r(a) = 5*a. Let x(v) = n*s(v) - 9*r(v). What is the second derivative of x(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/((r\/(r**5\/r)*r)\/r))*r*r)*r\/r**(2\/29))**(6\/7)\/((r**(-1))**36\/(r**(5\/4)*r*r*r**(-1\/7)*r*r*r)) assuming r is positive.\nAnswer: r**(35535\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02036 + -0.02. Round w to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29 and -17786.\nAnswer: -17757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8437*r**2 + 176742*r - 114. Give s(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 4. Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + -4 + -13 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1070 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -592.54783 to the nearest integer.\nAnswer: -593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*-2*sqrt(475)*-6)**2.\nAnswer: 720*sqrt(19) + 615604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-333)\/555).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13823821 (base 9) to base 12\nAnswer: -2371224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281608 + 7*h**2 - 640803 - 640805 - 4*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6698250 is divided by 171750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55856, -55864, -55872?\n\"Answer: -8*p - 55848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3716 is divided by 52*2\/5*(-161200)\/(-9920)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 + 11450*d**3 - 657785*d**2 - 806760*d + 8031600 = 0. What is d?\nAnswer: -4, 3, 60, 2231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/7? (a) -4\/5 (b) -49 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/11 - 62*v**3\/11 - 18*v**2 - 202*v\/11 - 68\/11.\nAnswer: 2*(v - 34)*(v + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*m + 2 + 28 = 0, -4*t = 3*m - 23. Sort t, -5, -16.\nAnswer: -16, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/148543 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(44\/11)*(-5)\/((-5)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let f be k(-3). Let i be (f - 0)\/(-3) - -2. Let j(u) = 3*u**2 + 1. List the prime factors of j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 480, 1008, 1586, 2214, 2892?\n\"Answer: 25*b**2 + 453*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:01 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**6*j**3 + 15663*a**4*j**3 - 61*a**2*j**2 + a**2*j + 3*a**2 + 235*a + j**3 wrt a?\nAnswer: 960*a**3*j**3 + 375912*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-22) - 10\/(-4)) + -10 - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10434157 rounded to the nearest 10000?\nAnswer: 10430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f**2*m*x + 975*f**2*m - 2*f**2 + 1262*f*x - 47*m wrt f.\nAnswer: -20*m*x + 1950*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1027 times 0.151\nAnswer: 155.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/594 and -29\/198.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**2 + 1215. Let z(y) = y + 232. Calculate z(b(k)).\nAnswer: -2*k + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 5*u + 3, -3*z + 4*u = -10. Solve v - 6 + z = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7683.558cm to millimeters.\nAnswer: 76835.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = 2*x, 3*m + 2*m + 5 = -5*x. Suppose 3*r = -2*n + 6, 3*r + 10*n - 5*n - 6 = m. Solve 5*d + r = 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -5*t**8\/336 - t**7\/7 - 7*t**6\/12 - 4*t**5\/3 - 15*t**4\/8 - 5*t**3\/3 - 2565*t**2. Find j, given that w(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28359367*x**6 + 2*x**2 + 6903228*x wrt x?\nAnswer: 3403124040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -418340 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 2}. Give prob of sequence yddy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba16 (base 12) to base 2.\nAnswer: 100111111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288*r*s + 2*r - 33 wrt s?\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -436 - -439. What is the third smallest value in n, -2, -79?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -14 + 23, -3*m + 4*c = 12. Suppose 2*f + a - 173 = m, 3*f + 7*a - 2*a - 270 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2471394 minutes to microseconds.\nAnswer: 14828364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -27*l**5\/10 - l**4\/12 - 29*l**3\/2 - 83*l. What is the second derivative of f(n) wrt n?\nAnswer: -324*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381896059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-20)*-1*5. Let p = 26 + y. Let o = 0.29 + 0.01. Which is the biggest value? (a) 0.4 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -22. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*k**2 + 141*k - 141*k + (k - 5*k + 5*k)*(-1 + 2*k + 1) in the form o + f*k + z*k**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1259, 1290, 1323, 1358, 1395, 1434?\n\"Answer: u**2 + 28*u + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 8*i - 10. Suppose -40*d - 24 = -44*d. Let a be m(d). Suppose 5*g = -2*l - 14, -4*l - 2*g = -2 - a. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*b - 2, -2*b = 5*d + 17 - 49. Let l be (-8 + 2)*d\/9. Calculate the remainder when 16 is divided by 1\/4 - 23\/l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14080360, 14080371, 14080384, 14080399?\nAnswer: 14080416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 2, -3, -0.1 in ascending order.\nAnswer: -121, -3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4997561 - -0.5002351. Let g = f + -6. What is g rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67873 and 2.\nAnswer: -67871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 231184*u + 155786 wrt u?\nAnswer: 231184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616537061?\nAnswer: 7, 19, 662231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-8)*(-48)\/(-96).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2. Let m(s) = 5287*s**2. Calculate m(b(n)).\nAnswer: 47583*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -88*q + 88. Is 8 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1120 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260 - 4*b**2 + 256 - 512 - 6*b**2 to f + v*b**2 + r*b and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-136)\/3 + (5 - (-1 + 2)). Let g = -41 - l. What is the nearest to g in 4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*x - 6 = 0, 3*x + 29 = 3*q + 11. Let s be (-1 + (-10)\/15)\/(3\/(-81)). Suppose -b + q*b = s. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) -0.5 (c) -0.4 (d) 2\/9 (e) -1\/3 (f) 412 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 270225*b**3 + 134638*b**3 + 135588*b**3 + b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -p + 9, -4*a + 23 = -5*p - 4. Suppose -2*w - 2*w = -2*d + 34, -a*d - 4*w = -41. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/12 and 4 + (-2)\/(40\/204)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281831429.\nAnswer: 19, 120096391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppo when four letters picked without replacement from pppoppo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 86. Suppose u - 3*t + 35 = 6*u, u - 3*t + 11 = 0. Let a(m) = -4*m + u*m**2 - m**2 - 4*m**2 + 2*m. Let i(q) = 5*q**2 + 9*q. Give d*a(k) + 4*i(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u**2 - 153*u + 74. Give k(19).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - 6*i + 5. What is w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078623673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1355 + 1355.4. What is the smallest value in 0.1, 1.9, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((25\/50)\/((-4)\/(-6))). Find x, given that -n + 5\/3*x**3 - 4\/3*x + 2*x**2 + 1\/3*x**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 divided by 159?\nAnswer: 3635\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*b**2 - 726*b - 2 - 51*b**2 - 45*b**2.\nAnswer: -2*b**2 - 726*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 3. Suppose w*m - 3*m = 179. Differentiate m*b + 11 + 21*b**2 - 179*b wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 8*i + 3. Calculate t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0 - (-11 - -6 - -4). Let d be (j - -5)*(-14)\/(-21). Solve 3*i + d = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 924216.\nAnswer: -3\/308072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, 101, 393, 837, 1427, 2157, 3021, 4013?\nAnswer: 5127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*l + 10, 15 = -8*z + 3*z + 5*l. Calculate the remainder when z\/(2\/(-66)*3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27589 minus -13?\nAnswer: -27576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2) + 327666\/(-12) + 3. Let j = t - -58439. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13402193 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 226*t + 2771. What is h(-12)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let a be c(1). Let f be 0 + 0 + (-2)\/10. What is the biggest value in -1, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 543402820 to the nearest 100000.\nAnswer: 543400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17)*1 - sqrt(17)) + sqrt(136)\/sqrt(200) + -1 + sqrt(2057) + (sqrt(85) + (sqrt(85) - (sqrt(85)*-1 - sqrt(85))))\/sqrt(5).\nAnswer: -1 + 76*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isooisoioooss. Give prob of sequence iii.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-28) - (-18)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 15892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54348 minus 5?\nAnswer: 54343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10768 and 46336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2031*g + 18364. Give w(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39440*p**3*r**2*s - 2*p**3*r*s + 1887*p**3*r - 15786*p**3*s + 839*p*r**2*s wrt r?\nAnswer: 78880*p**3*s + 1678*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 88 - 108. What is the third derivative of -17*m**3 + 32*m**3 - 15*m**3 - 146*m**2 - 108*m**f wrt m?\nAnswer: -6480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/(-5)*30\/12. Calculate the greatest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654408981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -30, -28, -28, -30?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11874691.9 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 - -301. Let b(d) be the third derivative of 0 + 1\/15*d**3 + 0*d - 9*d**2 - 1\/300*d**5 - 1\/120*d**q. Find x, given that b(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 + 5*q - 2. Let x be i(4). Let h be (-4)\/(-6)*7\/x. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -483 - -1239. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u. Let l(j) = 699*j**2. Give f(l(b)).\nAnswer: 6291*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*3)\/(sqrt(96)*-3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 = 3*s - 165, -4*s - 2*m = -170. Let i be s\/(-110) - (-14)\/10. Let p(d) = -d - i + 2*d + 3 - 3. Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 7*g**2 - 3*g**2 + 10*g**2 to y + f*g + m*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 25*b - 29*b, -5*o + 40 = -3*b. Solve -h = -o*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1713732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15556407 is divided by 3413?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/12*w**3 + 35 + 25*w + 5\/2*w**2. Suppose h(b) = 0. What is b?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(21\/(-8) - -3). Let r be (-80)\/d*24\/10. What is the remainder when 13 is divided by (-4 - -13) + r\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -54 in ascending order.\nAnswer: -54, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002049 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25080621 is divided by 8360200.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398185 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002684, 1002683, 1002682, 1002681, 1002680?\nAnswer: 1002679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 117 - (-1 + -9)*(-5)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 1780*f + 493. Let h(r) = -r**2 - 594*r - 177. Let p(s) = 11*h(s) + 4*z(s). Find the first derivative of p(k) wrt k.\nAnswer: 2*k + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203701 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*m + 3 = 1003, 4*a + 2*m = 1330. Suppose -836 = -35*d + 16*d. What is the greatest common factor of a and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.077 - -7.677. Let d = p - 7. Let u = -0.3 + d. What is the third smallest value in -4, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 707 + 369 + 8*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 43, 84, 143, 226, 339, 488?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-y - 6*y + 6*y)*(7 - 4 + 1)*(2*y - 2*y - 2*y) as s*y**2 + m*y + c and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-36)\/(-1026)*1*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001149984 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59440?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1056*l**3 + l**2 - 8*l + 7. Let d be h(3). Suppose 4*z = -4*z + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 5. Suppose 2*v + 21 = -v. Calculate x(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4)*(-62)\/(-31))\/(3\/96). Calculate the highest common divisor of h and 1928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40880698 - 40880693.30000155. Let m = n + -4.7. What is m rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.09 (b) -59 (c) -69 (d) 3\/2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n + 1. Let l(g) be the first derivative of -4*g**3\/3 - 5*g**2\/2 - 3*g + 9. Calculate l(m) + 3*x(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 9. Let q(j) = j**3 + 2*j**2 - 3*j + 2. Let w be q(-3). Is (w + -3)*13*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a + 30. Let l be i(-12). Suppose 270 = 2*b - 4*h, -h - 2*h = -2*b + 269. Let w = l + b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 470263150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5339802*y + 8 - 5339802*y + 75*y**2.\nAnswer: 75*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/6 (b) 8 (c) -3 (d) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 2791 = -901. Calculate the highest common factor of t and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 84 = -3*g. Let f = -15 + 37. Suppose -h - 8 = -m, -4*h + 6 = m - f. Solve 2*q - 3*l = -q - m, 3*q - 2*l + g = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-48) - 3316\/12. Let l = 281 + h. Solve -q - 3*u = 7, l*q - 2*u + 4 = 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 9*n - 14*n + 15947, 2*z = -4*n + 12742. Which is bigger: 3185 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5508540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.6221kg to grams.\nAnswer: 402622.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 2*z - 2. Suppose -7*t - 4*t = 66. Let d(p) = -p**2 + p - 1. Let h(y) = t*d(y) + 3*u(y). Let b(i) = i**2. Give h(b(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -159. Suppose -5*y + 90 = -x. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 + (36\/4 - -10). Solve 115*a - 113*a + 3*y = -f, 4*y = -3*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 73*y + 1231. Give z(-22).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*k - 270 = -118*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076349 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 16\/5 of a meter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 9) in base 6?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n**3 + 4*n**2 + 3*n. Let m(x) = -40*x**3 - 11*x**2 - 8*x. Let r(q) = -11*h(q) - 4*m(q). Find the second derivative of r(s) wrt s.\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 1957.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -5. What is the second derivative of -5*n + 3*n - 2*n**c + 5*n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2486, -2175, -1650, -905, 66, 1269?\n\"Answer: y**3 + 101*y**2 + y - 2589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 7. Let a be y(3). Find the common denominator of (((-40)\/(-12))\/2)\/(12\/102) and (a\/2)\/((-4)\/(-300)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204.6 - -204.7. Sort -1, y, -41, 1 in descending order.\nAnswer: 1, y, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/1584 - (-2 + 46\/11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + z)*(-7 + 2 - 2 + 2*z)*(3 + 4 - 1)*(282 - 136 - 135)*(0*z - z + 2*z) in the form x*z**2 + m + f*z + k*z**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 0.098, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 7 = 2*k, 2*k - 25 = -5*h. Suppose -h*o = 1 + 2, -o + 14 = 5*q. List the prime factors of 35 - (-3 - (3 - q)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:38 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4\/13 (b) 1\/4 (c) -1 (d) -2\/25 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 79814.\nAnswer: -4\/39907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132240 by 304.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826281 is divided by 1369.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 213*c + 109. Let n be p(107). Let x(s) be the second derivative of 7\/3*s**3 + 0 + 15*s + 1\/6*s**4 - 8*s**n. Factor x(y).\nAnswer: 2*(y - 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 76*k - 5*k.\nAnswer: 83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 53*y**5\/60 - y**4\/24 + 3*y**2. Is k(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**2 - 5*t - 16*t**2 + 3*t - 21*t**2.\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11107*-3.\nAnswer: 33321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 656\/(-123)*(10\/15)\/((-8)\/6)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11409*o**2 + 4 - 4.\nAnswer: 11409*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38029*p**3 + p**2 + 30*p - 13.\nAnswer: -228174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 394\/6 + (-8)\/12. Suppose 0 = -3*h + q + 76. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432)*1*-3 + sqrt(432)))**2 + -3*(1 + sqrt(432)))*3 + 2 + ((0 + sqrt(432) + 0)**2 - (sqrt(432) + -1)*-3).\nAnswer: -72*sqrt(3) + 12086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1976740629.\nAnswer: 3, 53, 211, 58921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0 (b) -0.2 (c) 1\/6 (d) -3 (e) -0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 415. Let l = -45 - o. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 264?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 3*v)*(8 - 8 - 12)*(3*v - v + v).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -138871.27 rounded to the nearest 1000?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/c**(-1\/2)))\/c**1)**(-8\/7)*c**(-2\/3)*c*c**(-6)*(c*c**(-2\/9))\/c**(-4) assuming c is positive.\nAnswer: c**(52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/11*2\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50545.36 litres in millilitres?\nAnswer: 50545360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -4497?\nAnswer: -4497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-5))\/((-10)\/(-25)). Suppose -5*c = o*m - 5, c - 3*c = -3*m - 25. Let q(i) = -4 - 2*i**2 - c*i**2 + 2*i + 3. Give q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 65.0078. Round h to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.771771ug?\nAnswer: 3771.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxfr when four letters picked without replacement from {u: 1, q: 2, r: 1, f: 1, x: 1, a: 2}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) 10 (c) -2\/3 (d) -370 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.6 + -74.6. What is the second smallest value in -4, 443, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 7*o**4 + (-20 + 20 - 3*o)*(0*o**2 + 0*o**2 - 2*o**3) in the form m + t*o**4 + p*o**2 + l*o + s*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 120. Suppose 0 = n - 3*f, -5*n - 15*f + 9*f = 105. Determine v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 162*n + 260. Let s be a(-4). Let t = s + 1038. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7378.\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65311429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**3 + 224065*q + 96207?\nAnswer: 3*q**2 + 224065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8263, -18021, -29279, -42037, -56295?\nAnswer: -72053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 3. Let z = y - 4. Solve f + 3 = 2*o + 2, 3*f + 3 = z*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 7*z**3\/6 - 4*z**2 - 5*z. What is the derivative of w(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 104*a**2 - 40*a + 40. Let y(m) = -17*m**2 + 2*m - 23. Let f(j) = -6*j**2 + j - 7. Let t(o) = 7*f(o) - 2*y(o). What is -3*n(r) - 40*t(r)?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 48*z**2 - 104*z.\nAnswer: 2*z*(z - 2)*(z + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:51 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgd when three letters picked without replacement from bgggbdbbgbbbgbggbdg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1301 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16617, 67377, 151979, 270429, 422733, 608897, 828927, 1082829?\n\"Answer: a**3 + 16915*a**2 + 8*a - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*k - 5*a, 2*k - 5*a - 10 + 28 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.6, 12\/5, 14 in decreasing order.\nAnswer: 14, 12\/5, 0.6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 25*x - 15. Let v(w) = -137*w + 76. Calculate 33*b(l) + 6*v(l).\nAnswer: 3*l - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - (-11 + 22)) + 1 + -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(-6)\/1. Suppose 0 = -0*c + z*c - 6. Let t(n) = n**2 + 45*n - 123. Calculate the lowest common multiple of t(3) and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3122, -2, -1, 3\/4, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32469 (base 10) in base 4?\nAnswer: 13323111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*b - 732 - 889, 5*h - 4075 = 5*b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-4))\/8*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8001352.8 rounded to the nearest one hundred thousand?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9040, 9041, 9042?\nAnswer: 9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 23. Let k be (6 + x)*(-4)\/(-32). Factor 1\/2*m**4 + k*m + 1\/2 - m**3 - m**2 + 1\/2*m**5.\nAnswer: (m - 1)**2*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0703*-2.6.\nAnswer: -0.18278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-13\/7)*(n*n\/(n**1\/n))**(13\/2))**(4\/7) assuming n is positive.\nAnswer: n**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-11)\/(i**(-2\/13)\/i*i*i*i**(-32\/5)) assuming i is positive.\nAnswer: i**(1076\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 2. Let a(o) = -4*o - 22. Determine 2*a(i) - 6*s(i).\nAnswer: -2*i - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 + 31544?\nAnswer: 31343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 18 = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6259 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. What is the closest to -1\/2 in -2\/7, -3, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s - 42. Let p be z(-5). Suppose u - 3 = -2*o + 4*o, -2*o - 23 = p*u. Let t be (2\/u)\/(39\/65)*-12. Solve b = -b - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.6 + 44.6. What is the smallest value in 1.21, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*z**3\/11 + 332*z**2\/11 + 86*z + 644\/11 = 0. What is z?\nAnswer: -7, -46\/15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12 - (-12 - -10)) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b - 15 = 0. Let y be b*5*10\/15. Suppose 4*t = 3*u - 0*t - y, -5*t = -4*u + 15. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/5, -1\/2, 4, -2\/387?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from rqbqriirrbqqrf?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -8918\/92977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1009 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2687720?\nAnswer: 1\/537544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-5 + (0 + sqrt(32))*-6 + -3))**2.\nAnswer: 1824*sqrt(2) + 4969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/50 (b) -0.2 (c) 2\/3 (d) 0.1 (e) 14 (f) 3 (g) 1.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -66*m + 18. Let b(u) = 23*u - 6. Let d(s) = -11*b(s) - 4*i(s). Give d(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -2 + 11 + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.2. Let p = 40.6 - 40.7985. Let o = p - q. What is o rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/(u\/(u*u**(-14)*u)))\/((u*u\/((u**(-26)\/u*u)\/u))\/(u*u\/u**(-4)*u)) assuming u is positive.\nAnswer: u**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + 11)) + 3 + -1 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + -3 + -7)\/(20580\/(-343)))\/((-3)\/(-188))?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/(-22) + 2\/(-11). Let b be c\/(-30) - (-19)\/(-6). Which is bigger: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 948.25, -8, -2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1508 = -1492. Suppose -4*k + a = 6*k. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -170*r + 18. Give i(-1).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 277999\/6*g**3 - g - 5\/2*g**2 + 0. Let x be n(-5). Round x to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/21 and 59\/4710?\nAnswer: 32970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/100*(-160)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 899268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4728*n - 2676*n + 5210*n to the form t*n + g and give t.\nAnswer: 7262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)*4 + (-1425)\/375\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 134. Let x = r - 58. Suppose -190 = -2*k - 4*f, -x*k - f + 366 = -3*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*s + 206*s - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3 - 233*d**2 - 6215*d - 25375 = 0.\nAnswer: -203, -25, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3928272 to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8575939\/18 - 476443. Find the common denominator of (-1130)\/36*(-2)\/(-60) and y.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3979 and 0.2?\nAnswer: -0.07958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 5. Let g(s) = 3*s**2 + 5*s + 5. Let h be g(c). Factor -h + 10 - 4*v - 4*v**3 + 5*v**3 + 3*v - 3*v**2.\nAnswer: (v - 3)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 11, -2, 2\/9, -36, 3.2, 5\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r - 6562 + 1711. Let t = -306 - r. 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 -2*5\/3*30\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f + 169 = -115 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 51 - (-42 - 30).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 0*d**4 + d**4)*(-4*d + 11*d - 6*d) + 0*d**5 + 5*d**5 - 4*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730890 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108 and -0.3.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8100 - 2128?\nAnswer: 5861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-3)\/(-1))\/1. Suppose 3*b - 15 = j, d - 2*d = 4*b - 24. Solve 20 = d*x - 4*m, -x + 15 = 2*x + 2*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 254992*b + 4063807504.\nAnswer: 4*(b - 31874)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84453 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - (-8 + 3))*(-1)\/1. Solve 5*f - 10 = -r, 0 = -5*f - 5*r - 2 - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**2 - 22*p + 170. Give g(7).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105955717 from -1.3.\nAnswer: -105955718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80 + 95 + 10\/6 and (-3)\/36*(-42 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (1 + 3 + 7)*(4 + 0 - 3))*(4*u**2 - 4*u**2 - 2*u**5).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k + 1355 - k**3 + 32*k**2 - 1307 - 16*k**2 - 19*k**2.\nAnswer: -(k - 4)*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41346010454343852*q**2 + 2113142004*q + 27.\nAnswer: 3*(117396778*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2 + w. Let q be k(2). Suppose j - q = 6*j - 4*r, 0 = 5*r. Let s = 67 - j. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020221120 + -12?\nAnswer: 2020221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 8490180?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 2\/3 (c) -9 (d) 0.3 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58865116.\nAnswer: 2, 19, 774541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(98))*-5.\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (355 - 347) + 2 + 0 + -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98408 - 49207 - 49201 + 5*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + 0*w**2 + w**2)*(0 - w + 0) - 94*w**3 + 665*w**3 + 396*w**3 as s*w**2 + b*w + n*w**3 + g and give n.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 1680\/63)\/((-266)\/285)?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 + 2 = 0. Suppose 0*d + 116000 = -z*d. What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 0, -p + 7 = 2*b - 0*p. Suppose 3*d - 2*k - 43 = 0, b*k - 23 = -3*d + 24. Suppose -4*i + d + 17 = 0. Which is greater: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/10 + t**4\/2 + 5*t**2\/2 - 13*t. Let k(m) = -m**3 - 3*m**2 - 2. Calculate -5*k(d) - 2*u(d).\nAnswer: d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2934875 from -25114140.\nAnswer: -22179265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*m - 8 = 0, -4*v + v + 12 = 2*m. Find the second derivative of -3*d**v - d - 6*d**2 + 6*d**2 wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1190 by -170.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 2. Let g be r(-2). Let h = 5 + -2. Let y(w) = -w - h + 0 + 8. Give y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60420819811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 722 in increasing order.\nAnswer: -4, 6, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 124*r = 121*r - 1, 2*r + 2 = -c. Factor 4\/9*h**c + 0 + 0*h - 1\/9*h**5 - 5\/9*h**3 + 2\/9*h**2.\nAnswer: -h**2*(h - 2)*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4112 (base 6) to base 3\nAnswer: 1020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11974 divided by 39?\nAnswer: -11974\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:59 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1325 - 392. What are the prime factors of w?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -147 - 5*c - 146 + 15*c**2 + 294 - c**3. Is 19 a factor of k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4517*j*q + 1054*j - 3351*q + 236122 wrt q.\nAnswer: 4517*j - 3351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 16*r**2 - 6*r - 16. Let q be s(7). Solve -26*b - q = 38 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.83582 to one dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(245) + 5 + (sqrt(180) + -2)**2.\nAnswer: -17*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143044636*j**6 - 18562771*j**2 - 1 wrt j.\nAnswer: 17165356320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779301*a**2 - 389692*a**2 - 389610*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:01 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110001101 (base 2) to base 10.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1886 and 1896 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 10. Let r = -6 - -52. Calculate the remainder when r is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -720. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 6*w**2 + 2*w. Let u(f) = -f**3 - 5*f**2 + f. Let r be (15\/(-25))\/(17\/85). Calculate r*o(m) + 4*u(m).\nAnswer: 2*m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 6*q - 15. Let j be r(-7). Suppose -6*g - j = -7*g. Suppose 2*b - 5*b = -g. What is the greatest common divisor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2752?\nAnswer: -274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 4. Let z(t) = -10*t**2 + 8. Let p = -15 + 9. Let i(l) = p*z(l) + 13*v(l). What is the first derivative of i(w) wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 96 = 13*y. Calculate the highest common divisor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -6\/13, 4\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903753 is divided by 727?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10490 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 - 17*l**3\/6 + 4*l**2 + 23*l. Is 5 a factor of m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*t**2 - 6*t**2 + 8*t**6 + 6*t**2 wrt t.\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19608 = 81898*v - 81382*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let r(p) = -5*p**2 - 1844*p. Determine r(h(y)).\nAnswer: -5*y**4 + 1844*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 4*z - 3. Let x(p) = -2*p + 2. Let s be x(2). Is f(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -277, -440, -603, -766?\n\"Answer: -163*j - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 divided by -3?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (-2 - 54)*(-11 - (-9 - 3))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (7 - 22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/665072 and 39\/1320688.\nAnswer: 278665168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 907152 plus 26260991?\nAnswer: 27168143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 28 + 1 + -23 + 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 2*g + 5. Let t be j(0). Which is the smallest value? (a) t (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 4. Let n(u) = 1024*u - 3182. Let o(w) = -10*a(w) - 2*n(w). Differentiate o(i) wrt i.\nAnswer: -2038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*2 + 3 + sqrt(343) + -3*(-1 + sqrt(343)))**2 - ((-5*-1*sqrt(343))**2 + -5).\nAnswer: -8534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqlrnfj. What is prob of sequence qj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100815 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 k = 34 - 31. Suppose -3*z + 221 = -q, 231 = 3*z - 0*q - k*q. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/95 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132989 rounded to the nearest one thousand?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqjqqqqqqqjjqj. Give prob of sequence ajq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -30*t. Let a(d) = -2*d**2 + 439. Determine o(a(f)).\nAnswer: 60*f**2 - 13170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*q - 1453 = 0, -2*x + q + 586 = 3*q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(18))*4.\nAnswer: 24 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let k be (-2 + 4\/n)\/1. Let v be 1*(1 - -4 - 0\/(8 - -7)). Solve k = v*b - 2*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -5. Let s = 7 + k. Suppose -6 + 21 = 3*p. Which is the closest to -0.2? (a) -4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 19 + 2 = 0. Is 46 a factor of (176\/12 - -2)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 8*x + 108. Suppose -3*v + x = -3*s, -4*s - 3*v + 0*v = -4. Let i be 4\/(-10) + s + 156\/40. Which is bigger: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-30) - 21\/(-4410)*-4011\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3 - 3023*g**2*m**3 - 9*m**3 - 233*m**2 wrt g?\nAnswer: 6*g**2 - 6046*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/48 + r**5\/10 - r**4\/16 - r**3\/2 + 9*r**2\/16 - 6. Determine q, given that i(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78750577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 bigger than -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 5\/4 - 72\/(-32). Solve -2*h = -h + k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sne when three letters picked without replacement from nenshunn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2090*l**3*n**5 + 12*l**3*n**3 + 30*l**3*n + 44*l*n**2 - 32*l wrt n?\nAnswer: 125400*l**3*n**2 + 72*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w - 168. Suppose -5*p - p = w. Does 16 divide (-112)\/(-8)*(-48)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342173\/9084 - 3\/3028. Let a be (-3)\/(-3)*4 + 33. Let u = m - a. Which is smaller: u or 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 3)\/(1\/1). Suppose 12 = -z - k*z. Let s = z + 20. What is the least common multiple of s and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = -46*a + 15. Let d be (-3)\/(18\/16)*a. Suppose 5*p + v - d + 3 = 0, -3*p = v - 1. Solve -2*t - p = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/2 - 3*t**2\/2 + 9*t\/2 - 5\/2 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*g + 22*g + 5 - 2 + 2*g wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 250418, 500938, 751456, 1001972?\n\"Answer: -g**2 + 250523*g - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*u - 3*u + 2, 0 = 3*m - 6. Suppose -9*d + 30 = -3*d. Suppose 17 = j + u*x - d*x, -7 = j + 5*x. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -1534, -2298, -3062?\nAnswer: -3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(9\/3)\/(-3). Let w = 64\/9 - 74\/9. Is c less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, -4, 2\/5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + n - 704. Let k = -38 - n. Solve k*q = 3*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10401?\nAnswer: 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 9. Let u be -2*(d + (-3)\/6). Suppose u*f = -2*m + 286, 5*f - 4*m - 252 - 16 = 0. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1738230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -400, -2528, -6390, -11986, -19316, -28380, -39178?\n\"Answer: -867*g**2 + 473*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af - -2?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2290, 9355, 21114, 37561, 58690, 84495, 114970, 150109?\n\"Answer: -t**3 + 2353*t**2 + 13*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226 + -394.1. Let f = 161 + q. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, l: 2}. Give prob of sequence kkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -227*j**2 + 0*j - 37\/390*j**5 + 0*j**3 + 0 + 1\/60*j**6 - 1\/26*j**4. Factor i(l).\nAnswer: 2*l*(l - 3)*(13*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(sqrt(1584)*-2 + sqrt(1584))*-6 - (3*(0 + sqrt(1584)) + 4)) + 2 + 1)**2.\nAnswer: 5616*sqrt(11) + 2409300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/8 - 25\/8 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6829 > 6816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241 + -240.5. What is the second smallest value in -4, -1, 4, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -1. Calculate the highest common divisor of a and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.326048um in nanometers?\nAnswer: 7326.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 22*r**2 - 73*r + 55. Let c be w(-25). Let d be (2\/(-6))\/(1\/(-6)). Suppose 185 = c*q + n, 5*q = d*q + 3*n + 129. Is 38 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -8 + q**2 + 0*q**3 + 0*q + 3\/4*q**4. Find the second derivative of c(a) wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.8 - -23. Sort 2\/13, -0.4, 0, j.\nAnswer: -0.4, 0, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 329 = 18*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 865 = 2*j + 3*j. What are the prime factors of j?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1048 - 6257\/6. Suppose -3*l + 2*j - 12429 = 0, 0*l - 2*j = l + 4151. Let p = l + 66345\/16. What is the common denominator of q and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*d + 506017 = 173*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-2)\/7)*(-35 + 49). Solve z + 0 - 5 = 2*f, 0 = -u*z - 5*f - 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62697995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z + 5*u + 1 = 77*z, 3*z + 7 = u. Which is the closest to z? (a) -1\/5 (b) 0.14 (c) -14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 + 5 = -4*h, 0 = 5*h + 5*p - 35. What is the greatest common divisor of 16 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) - sqrt(143)*-2)*5)\/(sqrt(1584)*-2).\nAnswer: 7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1500*z. Let b be a(-5). Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11940 is divided by 11851.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761132303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 79+14542.815\nAnswer: 14621.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)*i*i\/(i**(-4\/5)\/i)*i**(-1)*i*i*i\/(i\/(i\/(i**(7\/5)*i))*i)*i*i)**30)**46 assuming i is positive.\nAnswer: i**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose -4*x + 3 = 3*y, -4*y + m + 1 = -x. Suppose 2*h + 0*s + 2*s - 16 = x, -3*h = 2*s - 24. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 156?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 14, -3*l - 10 = -4*c. Suppose -l*f + 160 = 3*f - 5*u, 0 = -3*u - 6. Let h = 234 + -118. What is the remainder when h is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 710*h**2\/3 + 64064*h\/3 - 61952.\nAnswer: 2*(h - 176)**2*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 13*u**2 - 8*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 22*f**3 - 19*f**3 + 58*f**3 + 2 - 187*f**2 to q*f**2 + z + c*f + r*f**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n = 94 + 366 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115\/102 + -5\/17. Sort -3, -2, g.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 15) to base 11\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let l = u + 0. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/18*-5*27\/(-150). Which is the nearest to 0? (a) v (b) 0.1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 381942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i - 1. Let s(z) = -5*z**2 - 25*z - 23. Let f(v) = -s(v) - 4*w(v). Let b be f(-16). What is the highest common divisor of 165 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208729317.\nAnswer: 3, 53, 647, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:43 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15886465593 from 1179.\nAnswer: 15886466772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111101111011 - 1111110?\nAnswer: 100111011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334.5 + -316.5. Let v = 0 + -3. Sort v, -0.1, -5, c in increasing order.\nAnswer: -5, v, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 17 + 14 + 6*w + (0 + 2*w + 0)*(4 - 4 + 1) + 2*w + 0*w - w.\nAnswer: 7*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 - 6*m**2 + 2*m + 21. Let u(x) = 11*x**3 + 6*x**2 - 3*x - 23. Let i(h) = -6*f(h) - 5*u(h). Calculate i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 10, 2*y - 5 = i. Suppose -25 = 2*n + 33. Let c = -34 - n. Sort c, 4, i in decreasing order.\nAnswer: i, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(0*q**3 + 2*q**3 - 4*q**3) - 5*q**3 - 2*q**3 + 5*q**3 + (-3*q - q**2 + 3*q)*(q + 4*q - 3*q) + q**3 + q**3 - q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 312\/54 - (-2 - -7) - 1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211100211221 - -12?\nAnswer: -211100211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 3. Let r(x) = -x**3 + 28*x**2 - 2*x + 58. Let b be r(28). Let c(o) = -o + 1. Calculate b*n(s) - 6*c(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 56*f - 27. What is y(-28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 12*q**3 + 9*q + 38*q**3 - 37.\nAnswer: 26*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(26\/6 + 2). Let l be 4\/(-24)*(-1062)\/38. Let t = l - w. Calculate the common denominator of t and -17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.5 + -10.6. Suppose 2*m + 4 = 2*l - 0*m, 5*l = 4*m + 8. Let p = l + 1. Which is the closest to x? (a) 3 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.0202949.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2\/1 - 1) + 0)*-3. Let c be (-8570)\/(-9) - (m + 87\/27). Let s = c - 574. Calculate the greatest common factor of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16826003 and 928?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r*s*t**3 + 6*r*s*t + r*t - 75*s**2*t**3 + 52*s**2 + 2*t**3 wrt t.\nAnswer: 12*r*s*t - 450*s**2*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose -2*i - 2 - 4 = 4*x, 2*i + 6 = -c*x. Put -5, 2, x in ascending order.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -3\/10 (c) 0.4 (d) 7157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1539) + (sqrt(95) + sqrt(95)*-1)\/sqrt(5) + 0 + 1*(1 + -2*sqrt(684) + sqrt(684)*-2 + -1))**2.\nAnswer: 60*sqrt(19) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 17 = 4*j + 3*y, 2*j - 10 = 2*y. Suppose -j*p = 3*d + p - 39, -5*d = -4*p - 47. What is the remainder when 207 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -21. Let q(w) = -19*w + 599. Calculate the remainder when q(16) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -725*h**2 - 736*h**2 - 663*h**2 + 521*h**2 + 174*h**2. Let i(u) = 3*u. Give j(i(q)).\nAnswer: -12861*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.8572791 to one decimal place.\nAnswer: -54.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*-6*(sqrt(66)\/sqrt(96) + (-2*sqrt(66))\/sqrt(6) + 1 + sqrt(99) + 1))**2.\nAnswer: 2880*sqrt(11) + 12204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2298, 2 in increasing order.\nAnswer: -2298, -46, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 + 7 + (-11 - (13 + 12)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 - 955*r**3 - 24865*r**2 - 226985*r - 686070 = 0.\nAnswer: -162, -11, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 546 = 3*u, 4*y + y - 351 = -2*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44895150?\nAnswer: 2, 3, 5, 99767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:46 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 4 = 0. Suppose -9 = p - n*t, 0*p = -2*p - 3*t + 15. Suppose -p*r + 21 = -3. Solve o - 3*o + r = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-17 - (-270)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12332111241 (base 5) in base 3?\nAnswer: -1001102211120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6993042 rounded to 2 dps?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - -6*sqrt(117)*-1)) + sqrt(117) + -2*sqrt(117)*4)\/((1*sqrt(1620))\/(sqrt(45)*-5)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -1 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00541213 rounded to five dps?\nAnswer: -0.00541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -27*b**2 + 16*b**2 + 10*b**2 + 3 - 7. Let c = 2 + -2. Let g be o(c). Let j(d) = -2*d**2 - 3*d + 2. Let p(q) = -q**2 + 1. Determine g*p(l) + j(l).\nAnswer: 2*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022378 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:24 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:06 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 114*l**2 - 39*l + 390. What is the hundreds digit of h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 9. Let l = s + 15. Suppose 0 = 2*f - l*f + 14600000. Round f to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -67 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101000100 (base 2) in base 12?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(931) + (-4*(sqrt(931)*-1 + sqrt(931) + sqrt(931)))**2 + 2 - (-4*(sqrt(931) + 1) + -2)) + -2.\nAnswer: -59622 - 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 2*x**2 - 7*x + 5*x**2 - 3 - 3*x**3. Suppose 4*z = -q - 83, 266 = -2*q - 2*z + 76. Let k = -93 - q. Give a(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 576*h - 3170. Calculate the smallest common multiple of 8 and w(8).\nAnswer: 5752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 (base 9) in base 2?\nAnswer: 1101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7683 + -7663. What is the least common multiple of 948 and v?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -35, -121, -297, -593, -1039?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -29, -31, -31?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18919*4\/26884 - 3. Let k = f + 2\/611. Which is the third biggest value? (a) -2\/7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4154, 4155, 4156?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and -69\/19632038?\nAnswer: 98160190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65\/66 - 9\/11. Let m = -1142 - -1143. Which is the second biggest value? (a) s (b) 3\/2 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1123 - 13?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9564, -19126, -28690, -38256?\n\"Answer: -v**2 - 9559*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 + 2*s - 1. What is the remainder when 20 is divided by w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.4. Let w = 4.7 - 1.7. Which is the biggest value? (a) w (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 31*i**3 - 17*i**2 + 36*i + 11. Is p(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110672 by 1.\nAnswer: -110672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 879*k + 165. List the prime factors of t(3).\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3 + 2*c**2 + 3. Suppose -12 = 4*f, -s - 4*f - 28 = -3*s. Let z(t) = -9*t + s*t + 3 - 3. Determine z(d(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1763, -3515, -5259, -7001, -8747, -10503?\n\"Answer: -j**3 + 10*j**2 - 1775*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**5\/60 + 13*s**4\/24 - s**3\/3 + 22*s**2 + 62. Let h(u) be the second derivative of t(u). Calculate h(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 2*c**4 + c + (c**3 + 0*c**3 - 3*c**3)*(c + 0*c + 0*c) - 164*c - 3*c**4 - 8243*c**2 + 8243*c**2.\nAnswer: -7*c**4 - 164*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.436761 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 180662 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -64. Let h = m + -4. Let a = h + -7. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -70\/11, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, -0.4, -70\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = 2*x, 4*x = -4*y - 12. What is the smallest common multiple of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 8. Let u(p) = 0*p + p + p**2 - g*p - 2. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 83 (b) -48 (c) -3\/8 (d) 5 (e) 2 (f) 1\/3 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12296 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 31025008300 to the nearest one million.\nAnswer: 31025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -64836\nAnswer: -64836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 3 + 3 + 5 + 8. Let d(b) = b + 10. Let u = -4 + 15. What is u*d(k) - 6*m(k)?\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.24 + -1.64. Let f = 1.7 - 1.8. Which is the nearest to j? (a) f (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115503515 - -11?\nAnswer: -115503504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) + 4)*5)**2 + -2.\nAnswer: 1440*sqrt(2) + 2990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104.83932697 - 5.\nAnswer: -109.83932697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 378449*l + 8325861. Calculate p(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5\/8 + 15*g**4\/8 + 15*g**3\/8 - 15*g**2\/8 - 9*g\/4 = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219.9999786 - 220. Round u to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10613.5 rounded to the nearest 100?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40 - (-31 + 21 + -12)) + 20. Find j, given that -1\/7*j**z + 30\/7 + 29\/7*j = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29880*p + 631*p**2 - 14941*p - 14939*p.\nAnswer: 631*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1878, 15094, 50968, 120828, 236002, 407818, 647604, 966688?\nAnswer: 1376398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + 5*d. Let t(j) = 8*j**2 - 6*j. Let q(v) = -v**2 + 2*v. Let l be q(2). Let u be 12*(l - 4\/8). Determine u*z(w) - 5*t(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1623115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 152, -1\/7, -7\/3, -0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8877758 rounded to 2 decimal places?\nAnswer: 7.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -727, -2?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 6*k**2 + 5*k - 15. Let b(p) = -5*p**3 + 7*p**2 + 6*p - 16. Let l be 33\/12 + 105\/(-12). Give l*m(x) + 5*b(x).\nAnswer: -x**3 - x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/8049939 and 65\/245289.\nAnswer: 88549329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 312111142?\nAnswer: -312111204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z - 2*z**2 + 24*z)*(2 - 2 + 2)*(-28 + 1 - 89).\nAnswer: 464*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/15 + 43298*p**2\/15 + 187532*p\/5 + 86544 = 0.\nAnswer: -21636, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*n = 193, 78 = -2*u - n + 202. Let k = u - 60. Solve -3 + k = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -41*l - 30. Calculate t(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, -4*o - 3*n = -0*o + 7. Suppose o*x = 244 + 652. What is the remainder when x is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 5428467*t\/2 + 29468253970089\/2.\nAnswer: (t + 10856934)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 1060*a - 280900.\nAnswer: -(a + 530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8925042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m - 5*m + (-2*m + 3*m + m)*(1 - 1 - 2) - 2*m - 3*m + 0*m + (-4 + 4 - 2)*(3 - 3 - 2*m) + (1 - 1 - 2)*(-m + 2*m - 2*m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -199, -224, -291, -418, -623, -924, -1339?\n\"Answer: -3*w**3 - 3*w**2 + 5*w - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 432 - 18*w - 432 as v + r*w and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-10 + 2 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 29*i**3 - 9*i**2 + 3*i - 8. Calculate the remainder when k(5) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + 0. Let f = 8809.4067 - 8808. Let q = n - f. What is q rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 79?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.9443930359 + -0.1\nAnswer: 5.8443930359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1113*k**2 - 5562*k - 16. Give c(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.4 + 16.4. Which is the second biggest value? (a) f (b) 0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7455 divided by 6?\nAnswer: 2485\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667980.\nAnswer: 2, 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -388*l + 22523. Calculate y(58).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53112143 (base 6) to base 11.\nAnswer: 968a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let j = -2.93 - 0.07. Put 0.3, b, j in decreasing order.\nAnswer: b, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1726740, 1726739, 1726738?\n\"Answer: -r + 1726741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2972976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -10. Let d = w - -6.8. Suppose -5*s - 3*j + j + 17 = 0, 0 = 5*j - 5. Which is the biggest value? (a) -0.5 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 416*j**2 - 1631*j - 213. Determine r(204).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 7:25 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 - 7*m - 5. Let p(w) = -w + 1. Let v(k) = 3*k - 1. Let y(a) = -2*p(a) - v(a). Let i be y(3). Give j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 564*t**2 - 3047*t + 1144. Determine v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*k - 565 = -694. Let b(d) be the third derivative of d**6\/40 - d**4\/24 - d**2. Determine b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -699 - -698. Which is the closest to -3? (a) 7\/11 (b) x (c) 3\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600 times -3\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:59 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 7*s**2 + s**4 + s**3 + 4*s**2 - 2 + 3*s + 3 in the form x + m*s**4 + v*s**3 + f*s**2 + a*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-1)\/((-10)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 612, 921, 1230, 1539?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54050756*i**4 + i**3*p - 2*i**2*p - 551*i**2 + 11*p - 1132 wrt i?\nAnswer: -1297218144*i + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/30*(10\/(-4) - 2). Let b(a) = a - 17. Let s be b(7). Let h = s - q. Solve 6 = -h*n - j, n + 1 = -j - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 2*o**3 - o**3 + (-4*o + o + 2*o)*(6*o**2 - 3*o**2 - o**2) + (o**3 + 4*o**3 - 4*o**3)*(6 + 9 - 4) - 95*o**3 - 12*o**3 + 0*o**3.\nAnswer: -99*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**2 + 0*l**4 - 1\/70*l**7 + 0 + 0*l + 0*l**6 - 1\/2*l**3 + 0*l**5. What is the first derivative of c(b) wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -5*n**3\/3 - n**2 + n. Suppose -28*u - 1085 = -4165. Calculate the remainder when u is divided by r(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -11*m**3 + 12*m - 30. Differentiate f(h) with respect to h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/9*(-24)\/(-16). Suppose 16 + 24 = h*q. Suppose -4*i + 15 = -3*i - 4*d, 3 = -q*i - 5*d. Solve 2*m - m = -i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 3)\/(6\/(-5824004)). Let v = a - -4183830. Suppose -12104168 = 2*p + v. What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.978 - -0.022. What is the nearest to -0.1 in -5, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**3 - z**2 - 15*z - 5. Let g(l) = l**3 + l**2 + 2*l. Let s(t) = b(t) + 6*g(t). Let q be s(0). Put q, -4, 92 in ascending order.\nAnswer: q, -4, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, g: 2, a: 5}. What is prob of sequence gae?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-341)\/11*7*(-25)\/((-1750)\/20)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 9789588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/7896 and 119\/4628184?\nAnswer: 32397288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4556 and 345452.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(130) - (-1*sqrt(130) - sqrt(130))*3) + sqrt(130) - -3*sqrt(130)*-1))\/((-1*sqrt(70)*2 + sqrt(70))\/(-2*-2*sqrt(7))) + 4.\nAnswer: -120*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b - 5*x = -561000, 5*x = 0. What is b rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167803 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*h + 239, 5*h = -d + 4*d + 597. Let m be (-78)\/h - 1\/(-4). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39924 - 2595234\/65. Let p = n + 3929\/715. Find the common denominator of p and -57\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239795.3010078 + 239852.301. Let j = 20 + 37. Let c = j - k. Round c to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 5. Is 12 a factor of 25*1 - (w + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*0\/13. Let q(s) be the third derivative of 0*s - 1\/24*s**4 - 1\/60*s**5 - 1\/6*s**3 - 3*s**2 + a - 1\/120*s**6. What is q(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59578491?\nAnswer: 3, 7, 2837071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2)*d*d**(1\/8))\/(d\/d**1)**(-14\/5)*d**(-5)*d*d**(-3)*d*d**(1\/5)*d*d**(2\/5) assuming d is positive.\nAnswer: d**(-131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52596, -109303, -166010, -222717?\nAnswer: -279424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 8. Let a(n) = -2*n + 9. Let d(i) = -2*a(i) + 3*j(i). What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by 86\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 2, d: 2, i: 10}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361058 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24331 (base 5) in base 15?\nAnswer: 82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2201*v + 149175 = 1114*v for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 0*g + 4*g)*(-8 - 1 + 2)*(3 - 3 + 1).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9419676631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and 61\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -318581.915 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in -0.1, 25517, 3\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) + 8\/(-84). Let i = 391 + -391.5. Which is the nearest to -2\/7? (a) i (b) 0.2 (c) n (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/(-115) + 12\/4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69689*x*y**2 - 2196273*x*y - 5*x - 108*y**4 - 2*y wrt y?\nAnswer: -139378*x - 1296*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:53 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -0.9. Let g(c) = c**2 - 13*c - 27. Let j be g(15). What is the smallest value in k, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 19 (c) 69 (d) -2\/7 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*k**2 + 30*k**2 + 100*k**2 - 30*k**2 + 67*k**2)*(-k + 6*k + 2*k) to n*k + q + p*k**2 + j*k**3 and give j.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 13*c**2 + 31*c - 145. Is l(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156407\/50 + -3128. Let w(z) be the second derivative of 1\/15*z**4 + l*z**5 - 1\/15*z**3 + 4\/75*z**6 + z + 0*z**2 + 0. Factor w(t).\nAnswer: 2*t*(t + 1)**2*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 2. Let c be q(2). Let k be c\/(-5) + (-1 - 1). Does 5 divide k\/(-10) - 128\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -13. Solve -s*w = -11 - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*t - 132*t - 17689*t**4 + 70*t**3 + 17719*t**4 - 9594 wrt t?\nAnswer: 120*t**3 + 210*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t - 1. Let l(n) = -n + 1. Let j(b) = -2*b + 2. Let r(x) = 2*j(x) - 3*l(x). Let v(h) = -r(h) - y(h). What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27137, -27100, -27051, -26990, -26917?\n\"Answer: 6*a**2 + 19*a - 27162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585663*q**4 + 794*q**2 - 3 wrt q.\nAnswer: -14055912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.54442 milligrams to nanograms.\nAnswer: 83544420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228134 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 281891 and -64.993?\nAnswer: 281955.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*h + 5*s, 4288*s = 4*h + 4290*s + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 - 4*i**3 + (-3*i**2 - 2*i**2 + 3*i**2)*(-2 + 2 - i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 1)**2 + (1 + sqrt(17) + -3 - sqrt(17))**2.\nAnswer: 20*sqrt(17) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2 + 386*b = 0.\nAnswer: 0, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12204)\/(-2034)*4\/(-96)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -68*n**2 + 27*n - 93. Let y(w) = 68*w**2 - 27*w + 93. Let v(x) = 5*j(x) + 6*y(x). What is the units digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-15) - (1 + 39\/(-45))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**4\/4 + v**3 - v**2 + 6*v - 44. Is l(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 11. What is the remainder when ((-580)\/(-6))\/((-2)\/(-3) + 0) is divided by g(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25500618 divided by 29721\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + -2 + sqrt(125) + sqrt(125))**2.\nAnswer: -80*sqrt(5) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3002?\nAnswer: 300.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + (192 - 6\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -175 in -0.3, 6, -1\/5, 5, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 1 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 368 = -d, 0 = -0*a + a - 5*d + 132. Let s = a - -277. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -2 (c) 0.33 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65784, -65299, -64488, -63351, -61888, -60099?\n\"Answer: 163*o**2 - 4*o - 65943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 2*l - 6, -5*d + 5*l = 10. Let o be -1 + 80 - (-4)\/16. Let b = o - 80. Is b equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/226648 and 95\/1312?\nAnswer: 906592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 10, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29652769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1613 - -1616. Let h = -0.01 + -3.99. Sort 5, h, s.\nAnswer: h, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 408*y**3 + 2*y**2 - 7*y - 156434?\nAnswer: 1224*y**2 + 4*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6076881 to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3585.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 - 2243 - 339 - 9*t**2 - 343 + 3260.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103862 divided by -5.\nAnswer: 103862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004918 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzzjzajzzzzjjjjjj. What is prob of sequence zjz?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 975*i - 22815. Give b(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*u - 3*u, -4*u + 8314 = 2*b. Is (-2)\/(-11) + b\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*v - 69*v - 23*v + 362 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 65, 7, 9 in decreasing order.\nAnswer: 65, 9, 7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 24 - 20 - 106)*(0*n**2 + n**2 - 3*n**2).\nAnswer: 334*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*c**3 + 211*c**2 - 2*c - 47690?\nAnswer: 189*c**2 + 422*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k + 6. Let g(w) = w - 1. Let i(t) = -4*g(t) + u(t). Let h(b) = 13*b + 19. Let d(n) = -3*h(n) + 5*i(n). Determine d(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1877122*t**5 - 2*t**3 + 5650867*t?\nAnswer: -37542440*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/4)\/((-228)\/304). Solve -y = -5*g - 4*v, -v + 8 = -2*g + 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250 - 0?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 6, -1\/758?\nAnswer: -1\/758","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 7*h**2 - 10*h + 30. Calculate d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8325, -8328, -8331, -8334, -8337, -8340?\nAnswer: -8343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Suppose -5*w - 5 = -240. Let k(c) = -w + 47 - 29*c. Give a(k(d)).\nAnswer: 1682*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 + -4 + -2)) + (-165 - -165)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1114 - 2746. Let n be (-2 + x\/9)*-600. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = -5*a, 2*a - 6*a = -m + 2. Let w be ((-49)\/21)\/(a\/3). What is the highest common factor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)*-1 + (-12)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**5\/t))**(-32)*t\/(t*t**(-1\/3)*t)*t**(-3\/5)*t*t assuming t is positive.\nAnswer: t**(1451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-376)\/(-3) + 178\/267 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 12*p = 5*b + 15, p - 5 = 0. Let v(x) = x**3 + x**2 - x + 3. Let m be v(0). Sort b, 0, m in decreasing order.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/10))\/v**15*(v*v**(4\/15))\/(v*v**4*v) assuming v is positive.\nAnswer: v**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566842?\nAnswer: 2, 139, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a + 136 = 155*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14586 is divided by 141.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 - 13642629\/(-297) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -107*m**7\/105 - m**5\/10 - 37*m**3\/3 - 702*m**2. What is the first derivative of b(n) wrt n?\nAnswer: -856*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-28) + (-234)\/(-63). Suppose -3*d = -5*p + 130, -14 = -p + 2*d + 12. Suppose 0 = s*t - 5*t + 5*j, 5*t - p = -j. Sort t, -2, 1.\nAnswer: -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -15.96. Let g = m + 11. Suppose -5*v = -0*l + l + 5, -4*l - 3 = 3*v. Which is the nearest to l? (a) -1\/5 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 57*p**2 - 15*p - 15. Let s(v) be the second derivative of -2*v**4\/3 + v**3\/3 + v**2 + 62*v. Give 2*l(d) + 15*s(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1432*r**2 - r - 3730*r**2 + r - 1345*r**2.\nAnswer: -6507*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 1 + 1 + (-7323*t**2 + 699*t**2 - 502*t**2)*(0 + 0 - t).\nAnswer: 7127*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 951203\/45 - 21137. Find the common denominator of -48\/35 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -13\/25289 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41944.7 + -41945. Let f = -1\/33 - -79\/429. Let d = -1 - -1.2. Which is the nearest to -0.1? (a) d (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.825 hours in milliseconds?\nAnswer: 388170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1821 + 1851 = -10*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2)\/k)\/k)**(8\/5)\/(k**(-2\/5)*k**9))**30 assuming k is positive.\nAnswer: k**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*g - 4*g = 197, -5*g + 169 = 3*c. Let a = c - -87. Suppose -53 = -12*r - 42 + 169. What is the highest common factor of r and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956.035 rounded to zero dps?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, v: 1, w: 2, u: 1, z: 1, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17026 - -17026. Solve q = 14*o - 4*o - 50 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p + 853. What is u(-51)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-759)\/18)*8\/(-24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*b + 3*b - 33, 14 = -3*b + 2*x. Let r be 1\/2 + (-50)\/4. Let s = b - r. Solve s*v = -5 - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.5354 kilometers in meters?\nAnswer: 838535.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:16 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.95 and 0.2?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1))*(b\/(b**7*b*b*b))\/b)**(-6\/17) assuming b is positive.\nAnswer: b**(54\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59\/12? (a) -4 (b) -3\/4 (c) -4\/5 (d) 3\/50 (e) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -156, -163?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 51*k**2 + 182*k - 2. Let q(y) = y**2. Determine t(q(b)).\nAnswer: 51*b**4 + 182*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 159. Determine m(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 865933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 2, b: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 29*j + 2950 = 11*j for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*j - 9, -25*j + 30*j - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 391. Let n(q) = -95*q. Give n(m(l)).\nAnswer: -95*l**2 - 37145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s - 5. Suppose 5*z + 3*n = 3, -4*z - 6*n + s*n - 4 = 0. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 8, j: 1}. Give prob of picking 2 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -297*r**2 - 20. Let x(z) = 2079*z**2 + 135. Calculate -4*x(u) - 27*y(u).\nAnswer: -297*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 14d?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.372 - -793087.8965\nAnswer: 793088.2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -134. Suppose -15 = 5*a, y + 4*y - 121 = -p*a. Calculate the remainder when 49 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 2, x: 2, j: 1, s: 1}. Give prob of sequence tj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15157 is divided by 84?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.1 + 37. Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65199.\nAnswer: 3, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/40 + (276\/(-120))\/(-23). Let p = -0.8 + 0.3. Sort p, 1, o, -3 in increasing order.\nAnswer: -3, o, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 339 = -87. Suppose 0 = -4*d + n + 50. Let k be (-13)\/(-27)*6 + -3. Sort d, -2\/5, -0.3, k in decreasing order.\nAnswer: d, k, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 4 (d) -14 (e) -66\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-210)\/(-20))\/((-1)\/(-30)). Let v = h + -158. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(0 - (-7)\/(-2)). Let r = p + 53. Sort r, 3, 5, -3 in decreasing order.\nAnswer: 5, r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -41. Suppose -5*k + 104 = 124. Put r, 3, k, -5 in ascending order.\nAnswer: -5, k, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*o**2\/8 + 2403*o\/4 - 63 = 0 for o.\nAnswer: 42\/397, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-173)\/(-9) - (-4)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2. Let m(c) = 21*c - 23. Let v be m(2). Let o(d) = -v*d**2 - 5 + 5 - 37*d**2. What is o(i(f))?\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 + 212. What is the second smallest value in i, -95, -1, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 3*d**2 - 1\/12*d**4 - 1\/6*d**3 + 0 + 0*d. What is the first derivative of n(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d + 113. Let i(c) = -3*c. Determine l(i(m)).\nAnswer: -63*m + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148584072 a multiple of 2294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 0. Suppose 2*j - b + y = -3*b, 4*j + 3*b + 24 = 0. Which is bigger: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let h(p) = -7 - 462*p + 890*p + p**2 - 427*p. Give h(i) + 2*v(i).\nAnswer: 3*i**2 + i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvhggvhhggggggggghv. Give prob of sequence vvv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6. Let x = 36806 - 36809. Let b = 11 + -3. Put a, x, b in descending order.\nAnswer: b, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 31 = -1. Let y(r) be the third derivative of -r**5\/60 - r**4\/3 + 2*r**3\/3 - r**2 - 19*r + 2. Calculate the remainder when 57 is divided by y(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c + 2*q = -26*c + 23, -5*c - 3*q + 1 = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -14. Suppose 48 = -2*f - c. Let g = f - -33. Solve 2*t + 4 - 24 = g*n, 5*t + 5*n - 5 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*96\/15. Let n be (-3 - -1)*(-56)\/g. Suppose -3*b - 2*r = -5 - 0, n = 5*b + 4*r. Solve 5*z - p - 5 - 6 = 0, 0 = -z - 5*p - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -556.12 and -129271518?\nAnswer: 129270961.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-612)\/(-255)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*i + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -543409.9 * -0.2\nAnswer: 108681.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = 3*k, -2879 + 2894 = -23*f - 4*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(2 + sqrt(7) + -5)*-2.\nAnswer: -60 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.049 (c) -4 (d) -1\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1946697592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 1. Let t(h) = -h**2 - 1. What is 2*n(d) - 5*t(d)?\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (49 + 9)) + 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -139, -201, -263, -325, -387?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 8. Let v = -2 + 5. Solve -x - v*x = -w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7.12. Let w = 0.18 - k. Let z = 19 - 18.9. Which is the nearest to -1? (a) 2\/7 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:27 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.7, -2\/11, -2476 in descending order.\nAnswer: 0.7, -2\/11, -5, -2476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*b = 234*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**3 + 414*j**2 - 473*j + 3029. Calculate o(-53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 854 + -2557\/3. What is h in -2\/3*h**2 - 1\/3*h**5 + r*h - 4\/3*h**3 - 2\/3 + 4\/3*h**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 3262 = -31*k. Does 58 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848376, 1696859, 2545452, 3394155, 4242968, 5091891?\nAnswer: 5940924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + c)*(2 - 136*c + 4*c**2 - 15*c**2 + 139*c).\nAnswer: 33*c**3 - 9*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2010 divided by 6.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 7 = -124 - 9. Sort -111, w, 4 in decreasing order.\nAnswer: w, 4, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3487 (base 16) to base 13.\nAnswer: -6175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1672 - -1912. Calculate the greatest common divisor of 270 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666654 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 112 = 21*s. Let b = s + -94. What is the remainder when b is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 2, r: 4, l: 3}. What is prob of picking 1 u, 1 r, and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*i + 876*i - 440*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h + 1. Let m be l(1). Solve m = 5*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 8}. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.2, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13121*a**2 - 6114*a.\nAnswer: 26242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 32*w - 27. Give r(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806983 is divided by 271.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -322, -288, -254, -220, -186, -152?\n\"Answer: 34*g - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 43. Suppose -7 = -5*v + x. What is the first derivative of 3*f - v*f + 3 + 3 + 13*f**3 wrt f?\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1753701 and 1038?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from aaaararaaa.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136163*n - 42 = -2*i + 136159*n, -5*n + 51 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 47742?\nAnswer: 47742.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13056\/(-18))\/34)\/((16\/(-108))\/((-2)\/(-3))).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 72*m**2. Let t(f) = -61*f**2. Let c(x) = -4*r(x) - 5*t(x). Let z(n) = -62*n**2 + n. Calculate z(c(y)).\nAnswer: -17918*y**4 + 17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425524 (base 8) to base 6.\nAnswer: 3014100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2544*u + 5489 - 8058*u + 565*u - 2307*u + 931*u wrt u?\nAnswer: -11413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/(-5) - 4\/(-10). Let d be (-104)\/18 - 4\/f. Let j(w) = w**3 + 7*w**2 + w + 5. Is j(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33981615*w**2 + 17*w + 103807 wrt w?\nAnswer: 67963230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 24. Let p = 4 + -3. Differentiate -2*t**2 - p + 5*t**2 - 5*t**x with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -4*d. Let g(b) be the first derivative of 1\/2*b**d + 0*b - 2 + 2\/3*b**3. What is the second derivative of g(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 - 6*u. Let g be a(-5). Let y = -6 + 8. Suppose -3*w + y*c - 2960 = 7*c, -1000 = w + g*c. What is w rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 = 0, 4*a - 3*f - 5 = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 11*x**2 + 18*x + 5. Let v be a(-7). Suppose 5*o + 10 + v = 0. Is (o - -561) + 3\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6+-37139\nAnswer: -37145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 - 26*f + 17. Suppose -v = -20*v - 171. Let s be w(v). Suppose -z = -0*z - 2. Calculate the highest common divisor of s and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 3 = 4*k + 6*v, -2*k = 2*v - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, b: 1, r: 2, j: 1, l: 1}. Give prob of sequence bc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16008 + 23427. Let r = -5144 + d. Find the common denominator of (1\/(-20))\/((-10)\/r) and 47\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 + 0*d + 7*d**3 + d + 2 to p*d**2 + m*d + q + g*d**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6) - (-4)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/49 and 71\/142100.\nAnswer: 142100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2279, -14256, -34213, -62144, -98043, -141904?\n\"Answer: s**3 - 3996*s**2 + 4*s + 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-84)\/(-56)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -44*q**4 + 47352*q**3 - 5768164*q**2 - 4759752*q + 1055808 = 0.\nAnswer: -1, 2\/11, 141, 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1618d - -3?\nAnswer: 16191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373009145 to the power of 1\/3, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8, 0 = l - 3*l + 4*y - 2. Let p be (6\/9)\/(1\/36). Let x = p - 4. Calculate the remainder when x is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etme when four letters picked without replacement from xxexuxxxmexte?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1700) + sqrt(1700))**2 + -4 + 4 + -6*(2*sqrt(1700) - sqrt(1700)) + 0)*-3 + -3 + -2.\nAnswer: -5105 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7276791912753.8 + -1.\nAnswer: -7276791912754.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 224424*l + 117920810 = 0. What is l?\nAnswer: -112735, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/4 + 21*h**2. Let m(i) = -4*i**2. Determine m(s(w)).\nAnswer: -900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 q when four letters picked without replacement from ccccccccqcqccccq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 493*d - 577*d + d**2 as t + z*d**2 + b*d and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fb847 (base 16) in base 12?\nAnswer: -843007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*a*p**4*u**2 + 9*a*p**3*u**2 + a*p - 271*p**2*u**2 + p**2 + 2*p*u**2 wrt p?\nAnswer: -2688*a*p*u**2 + 54*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 = 0, -f + 2003 = 5*m - 93248. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 divided by 3?\nAnswer: -806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/5 - 1808*m**3\/5 + 5398*m**2\/5 + 7208*m\/5 = 0.\nAnswer: -1, 0, 4, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 - -5?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856575153?\nAnswer: 3, 7, 523, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 84, 131, 178?\n\"Answer: 47*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 11 + 1. Does 7 divide (d\/18)\/((-2)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61733 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -86\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 10*z + 42. Let d(b) = 6*b**2 - 3*b + 2. Let u be d(z). Let v = -129 + u. Calculate the greatest common factor of 47 and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1*2*2 + -2 + 5)**2.\nAnswer: -192*sqrt(7) + 7177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/2, 0.2, 4, -3 in increasing order.\nAnswer: -3, -1\/2, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17503*2.\nAnswer: -35006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4225 + -4224.6. Put -119, 1, 0, 1\/2, z in decreasing order.\nAnswer: 1, 1\/2, z, 0, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, v: 4, e: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/5 - 2544\/(-40). Differentiate 7*u - u**4 - f*u - 28 - 84 - 17 with respect to u.\nAnswer: -4*u**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 235, -5 in increasing order.\nAnswer: -5, -2\/9, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27789680 divided by -5.\nAnswer: -5557936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20780 is divided by 20630?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1991)\/724)\/((-2)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-8))\/((-125)\/150). Let z(d) be the second derivative of q*d**5 + 0 + 0*d**3 + 5\/12*d**4 + 0*d**2 + 4*d. Find the third derivative of z(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767920579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 972*l**2 + 126*l**2 + 13 - 11 - 376*l**2 + 409*l**2 in the form b + y*l + x*l**2 and give x.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7029 and 3408?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9061 is divided by 172.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + (-1 - 224\/(-36)). Suppose -34 + 13 = -c*i - a, 2*i - 6 = -a. Suppose 0 = -4*x - 9 + 1, 2*f - 22 = i*x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2422064 - -1?\nAnswer: -2422063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.017 - 0.02. Let f = m - -1.487. Let q = f + -1.4563. What is q rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570010 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85739582 to the power of 1\/2, to the nearest integer?\nAnswer: 9260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, c: 2, m: 5}. Give prob of sequence mw.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15*18\/36*2\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 17*m - 9550 + 9502 + 5*m - 2*m**2 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52\/99 - 3776\/6435. Let r = -3047\/130 + i. What is the common denominator of (-25)\/10*5\/(-2) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 0.2, 2\/39, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*o + 8 = -0*y, -2*o = -3*y + 32. Suppose 20 = -0*s + 5*s, 3*s - y = x. Suppose 225 = k + 4*v, x*k - 1095 = -k - 5*v. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x + 34. Let w be m(0). Suppose -w = -5*p - 14. Let z be (-15 - -17)*10\/p. What is the greatest common divisor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u. Let h be (-1 + -83)*(-2 + 12\/8). Let n be -1 + 2 + (-7)\/(h\/(-78)). Let g(z) = -n - 10 - z + 24. Determine w(g(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 150 - -3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 + 397032*m + 1191098\/3 = 0 for m.\nAnswer: -1, 595549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/4, 1\/7, 204?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -465748 to the nearest 1000.\nAnswer: -466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148625 = 3571*z - 306*z - 76660 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232*c**3 - 35*c**4 + 59*c**3 - 500*c**2 - 15865*c + 15745*c - 117*c**3.\nAnswer: -5*c*(c + 2)*(c + 6)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7377.133ml?\nAnswer: 7.377133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72\/1969 - -1442773\/13783. Let m be -70*1\/(-2)*3. Let a = j - m. Sort 2\/5, a, -5 in descending order.\nAnswer: 2\/5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7. Do -1\/27 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 18.8. Let g = -653633 + 653648.00009. Let v = g + d. Round v to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - (2 + 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 2\/15, 2, -2\/3 in descending order.\nAnswer: 2, 2\/15, -0.09, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 37. Calculate the least common multiple of 9 and 1\/(65\/30 - j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*(l*l\/(l**(-3\/4)*l))\/l)*l*l**(1\/10)\/l)**24 assuming l is positive.\nAnswer: l**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6305, -12612, -18919, -25226?\n\"Answer: -6307*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1454\/763275 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*(0 + sqrt(320)) - -2*2*sqrt(320) - (sqrt(320) + -2*sqrt(320) + -4 - ((1 + sqrt(320))*-6 - sqrt(320)))) + -3)**2.\nAnswer: -20505 - 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7302.636 millilitres to litres.\nAnswer: 7.302636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/5 - 44408*h**2 + 1110242*h\/5 - 177640 = 0. Calculate h.\nAnswer: -111025, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -761 + 771. Let d(v) be the first derivative of 6*v**3 + 13*v**2\/2 + 19*v - 1. Is d(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 239*v - 210*v - 6119. What is the remainder when v is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 0*g**2 - 4*g**2 + 66*g**2 - 1077*g + 1078*g + 11.\nAnswer: 67*g**2 + g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:57 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 + 14 = 0. Let d = 8 - 4. Let z = 9 - d. What is the closest to -0.1 in m, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 356?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/44 + (-84)\/(-22). Solve -12 = -f - 2*f, -a*v - 2*f = -8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -32150470.\nAnswer: 3\/6430094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-4)\/(-8) + ((-81)\/(-2))\/(-9). Suppose 2*h = 5*h. Sort 2, j, h, 5 in decreasing order.\nAnswer: 5, 2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.727 * -1395.\nAnswer: 134934.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 941*y**6 + y**5 - 37*y**2 + y + 5. Let v(f) = f**6 + f**5 + f - 1. Let w(o) = -a(o) + v(o). Find the third derivative of w(b) wrt b.\nAnswer: -112800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 + 154. Sort -0.2, u, 1\/6, -2 in descending order.\nAnswer: u, 1\/6, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81.368388 - -0.03\nAnswer: -81.338388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.2, 3 in descending order.\nAnswer: 10, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 388*n - 161. Is 59 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74624 and 1881?\nAnswer: 12760704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 14723*h - 14724*h - 122 = 0, -22 = -l + 5*h - 0*h for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 4*f**3 + 23*f - 11*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.48026km to centimeters.\nAnswer: 148026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 404781397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 10*s - 28. Let y be o(7). Let f be 9\/y + 1 + (-10455)\/231. Let g = 45 + f. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347126 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 0.2, 2674, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 q when four letters picked without replacement from {u: 9, q: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/6 of a day?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085 less than -81?\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*i + 28, -2*i - 6 + 0 = 0. Let k = q - 7. Let y(x) = -2*x**3 - 4*x**2 - 2*x - 3. Let s be y(-3). Solve s = k*l - 5*n, 0*l - 4*l - 1 = 3*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-2*sqrt(1088)*5 + sqrt(1088))**2 + 4*sqrt(1088)*-1 + sqrt(1088))*4 - -2*(sqrt(1088) + -2)*3*1).\nAnswer: -48*sqrt(17) + 352499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-3.3.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.775596 and -3.\nAnswer: -2.326788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6265 + 6273. Solve -3*u - 13 = n for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11899*i + 11675*i - 6720 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 524006076 divided by -12780636\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242))*-4 - 4*(-1 + sqrt(242) + sqrt(242)) - (3*(sqrt(242) - (sqrt(242) - (sqrt(242) + -2)))*3)**2*1.\nAnswer: -19930 + 3432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*y + 10 - 10)*(4*y - 2*y + 8*y).\nAnswer: -430*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68865737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 14. List the prime factors of j(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35805237?\nAnswer: 3, 13, 127, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (3 + sqrt(7) + 2)) + sqrt(7) + -2 + (sqrt(7) + 0)**2 + (sqrt(7) - (2*sqrt(7) - sqrt(7)))**2*-4 + (sqrt(70)*-1)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*d**4 - 33436*d - 2298*d**2 + 4*d**5 - 3430*d**2 - 843*d**4 - 28392 + 504*d**3 + 1816*d**4 + 1088*d**2 = 0 for d.\nAnswer: -13, -6, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 22 (b) -31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43915723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2584 + 0.1416. What is the closest to 2\/5 in -22, -9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -285, -1171, -2651, -4725, -7393?\n\"Answer: -297*r**2 + 5*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 7*a**2 - 11*a - 19. Let y be u(-8). Suppose x - 3*k = -8, -2*k + 4*k = 4. Put 0, x, y in ascending order.\nAnswer: x, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2772)\/(-112)*108\/(-27)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 15) + 7 + -2 - (-9 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.16, -0.5, 2\/17?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2998 (base 16) to base 3\nAnswer: -112121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9 = 89. Which is the second smallest value? (a) 89 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = 5*m, 2*a - 6 + 18 = -4*m. Suppose 2*u - 5 - 3 = a. Suppose -2*q + 36 = q. Solve -g + 4*g + 5*h - 3 = 0, q = u*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 10:45 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89971, 179447, 268923, 358399?\nAnswer: 447875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6172350 divided by 5.\nAnswer: -1234470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -89, -130, -169, -206, -241?\n\"Answer: x**2 - 46*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/23 - 64\/207. Let b = -4\/9 + v. Put 0.3, b, -2 in increasing order.\nAnswer: -2, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or -7.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.092247 millimeters?\nAnswer: 0.8092247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(-3\/19)\/w*w)\/w))\/(((w**(-1\/33)*w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(745\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*l - 9*l + 26 = 0, 3*p - l + 13 = 0. Which is the closest to -0.1? (a) -0.5 (b) -2 (c) -8 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znunuzhnnunnnuhunu. Give prob of picking 1 z, 2 h, and 1 n.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 3. Let v(n) = -8*n - 11. Let s(c) = 9*o(c) - 2*v(c). Let l(t) = t + 4. What is -3*l(i) - 2*s(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.56, 2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeuu. What is prob of picking 1 u and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8606591 to 2 decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 45 + -28 - -52 - -66\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9778 + 0.0222. Put -4, 6, i in increasing order.\nAnswer: -4, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 4. Suppose -2*b + 22 = -z, -4*z - b - 48 = b. Let m = -10 - z. Calculate the lowest common multiple of t(3) and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*s**3 - 2*d + 104*s**3 - s**2 - 8 wrt s.\nAnswer: -6*d + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 49. Let c be w(-23). Let m(x) = 341*x**2 + 3*x + 3. Let u be m(-3). Suppose -8937 = c*t + u. What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 1290*v**3 - 3835*v**2 + 2550*v.\nAnswer: -5*v*(v - 255)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - 5*i - 8. Suppose 120*k + 221 = -101*k - 0*k. Let h(z) = -z**2 - 1. Calculate k*y(o) + 6*h(o).\nAnswer: -o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*r + 5 = 0, -3*r + 1 = 3*t - 11. Suppose -t*p + 154 = -116. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**(-2\/3))**(1\/3) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 6, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 951568\/(-64)*(-208)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -13\/955 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(64)\/sqrt(2) - sqrt(32)) + sqrt(32))**2*3 + -4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -20025*w - 4505623. Give g(-225).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -14. Suppose f*j + i = 3*j + 11, -10 = 2*i. Suppose -q = 5*r - 1, -4*r - j*q = r - 4. What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 16*h - 58. Let y be u(-7). Let q be y\/(-4 - -9)*1\/3. Let v be ((-3)\/(-4))\/((-300)\/(-32)). Which is smaller: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/4)\/g*((g\/((g**(-3)\/g)\/g)*g)\/g)\/g*g**(-1\/4)*g**(-4)*g*(g**(7\/2)\/(g*(g\/g**(-4))\/g))**(-12) assuming g is positive.\nAnswer: g**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 103\/3 (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(187) + (sqrt(187)*2 - sqrt(187)))\/sqrt(11) + sqrt(17).\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6959 minus 1519821?\nAnswer: -1512862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/109 and 23\/5.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2130 and 1038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90994, -87713, -82238, -74563, -64682, -52589, -38278, -21743?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 27776 - 27781 = 5*p, s - 7 = -5*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 295048519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d - 7. List the prime factors of n(-5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2*q**3 + 2*q**3)*(-103 - 26 - 45 + 67).\nAnswer: -214*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s**2 + 4*s - 2*s + 13*s**2 - 574*s**3. Suppose -2*z = 3*z + 10. Let o be b(z). Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -30*((-9)\/(-6))\/(-3). Let c = 11 - p. Sort -0.1, -0.2, c in descending order.\nAnswer: -0.1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*j - 25*j + 15, -j + 73 = -2*m. Let h(s) = -20*s + 230. List the prime factors of h(m).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 116*f**2. Calculate i(1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112102122120120 - 10?\nAnswer: 112102122120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3 in decreasing order.\nAnswer: 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(1\/21)\/(p\/p**(-1)*p\/p**(-2)*p) assuming p is positive.\nAnswer: p**(-880\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - j**2 - j - 49. Let x be (0\/(-33))\/(-2 - -1). Determine s(x).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1787\/3 or -4301?\nAnswer: -4301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 77*c + 2113. Does 2 divide j(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 - (-2 + (2 - 2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-5)\/14)\/(29\/696*-40).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose -112 = -0*j - 4*j - 4*k, -3*k + x = 0. List the prime factors of 4\/18 + 1263\/j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*y**2 + 1875*y**2 - 935*y**2 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -7 (c) -2\/11 (d) 4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-20) - 1823\/(-5). Suppose 0*d = -5*l - 2*d + 374, 5*l = -5*d + f. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 2*u**2 - 11)*(u - 2 + 2) + 4*u**3 - u**3 - 2*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from {e: 4, h: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - 0.28. Let a = -5757.59996 - -5758. Let p = k + a. Round p to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*v, 5*v + j - 5 = 3*v. Suppose 0 = q - 3*i - 31, 5 = i - v*i. Solve -q = d + 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35847509 and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, 1\/5996, -5, -0.3?\nAnswer: 1\/5996","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttyiitltwttwwtttyi. Give prob of sequence ilt.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19495118, -19495119, -19495120?\n\"Answer: -v - 19495117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25)\/(-77) - (15\/((-90)\/78) - -13) and 50\/869.\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.053? (a) -1\/5 (b) 2 (c) -1\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7753150 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**2\/2 - s + 3. Let r be (-60)\/(-80) - (-2)\/8. Let h(x) = -6 - r - 8 + 6*x + 10. Determine -5*d(g) + h(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 11*z**2 + 15*z - 16. Give u(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**4 - 4*r**2 - 2*r. Let x(g) = -31*g**4 - 8*g**2 - 5*g. Let s(v) = -5*l(v) + 2*x(v). What is the third derivative of s(u) wrt u?\nAnswer: 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0531 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a214 (base 12) to base 14.\nAnswer: 87a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1153*g - 2480*g - 647112 = 7335*g for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**3 - 4*r**2 - 4*r - 20. Let l = 7046 + -7050. Let o(p) = -11*p**3 + 7*p**2 + 7*p + 40. What is l*o(d) - 7*z(d)?\nAnswer: 2*d**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -38*u**3 + 3*u**2 - 3*u - 3. Let k(j) = 75*j**3 - 7*j**2 + 7*j + 7. Calculate -7*h(p) - 3*k(p).\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*w + 498, -368 = -l + w + 118. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -180 - 60. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6030 by -670.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4*a - 8. Let z be 3*3*14\/(-21). Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 366*b**3 + 4*b**2 + 12*b. Let c(z) = 733*z**3 + 10*z**2 + 31*z. Calculate 2*c(u) - 5*m(u).\nAnswer: -364*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*m - 368183 + 374543 = 0 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b + 35. Factor -11*u - 2*u**3 - 12*u**2 - b + 5*u - 18*u.\nAnswer: -2*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -2*b**4\/3 - b**3 + b**2 + 2*b. Let r(k) = 0. Calculate k.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 1002650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -4\/3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7300 by -365.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 655673 and 218.3718.\nAnswer: 655891.3718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-2\/9)*g)\/g**(-1\/6))\/((g**(2\/7)\/g)\/g**(-2\/9)))**(1\/13) assuming g is positive.\nAnswer: g**(163\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 125263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 798*b**2 - 520*b - 2. Let n(d) = 778*d**2 - 518*d - 3. Let p(r) = -3*g(r) + 2*n(r). What is the second derivative of p(y) wrt y?\nAnswer: -1676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfldbdlllfddfslflfll. Give prob of sequence ldds.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549634634?\nAnswer: 2, 23, 67, 139, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005616*-0.8.\nAnswer: -804492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180172991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -25*(-2)\/(2 + -3). Let r be (7 - (-231)\/(-35))*130. Let q = n + r. Solve 0*h + q*h = -t + 4, 0 = 2*h - 4*t - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/47)))**(-44)\/(((o*o*o**(3\/4)*o)\/o)\/((o*o**(-3\/7)*o)\/o)) assuming o is positive.\nAnswer: o**(-5331\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/50706 and 58\/56313.\nAnswer: 317267442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 + 71276*a**4 - 317552372*a**3 + 317053492*a**2 + 1904886744*a = 0.\nAnswer: -2, 0, 3, 8909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-8))\/((-11 + 5)\/6). Factor z*l**4 + 0 - 1\/2*l + 0*l**2 + 3\/8*l**3.\nAnswer: l*(l - 1)*(l + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 81 - 14 + 0*k**2 + 4*k**2.\nAnswer: -2*k**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 648 divided by 216\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21745840 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x + 2. Let v(i) = -5*i - 1. Give -2*l(g) - 3*v(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -0.026, -6.6?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 196 = 6*r - 179, 2 = -2*r - 2*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002895 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -290862, -292164, -293466, -294768, -296070, -297372?\n\"Answer: -1302*p - 289560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*k + 45*k - 4*k**3 - 4 to the form t*k**2 + g + f*k + d*k**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gddgd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661738653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 18 - 48 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 11*i = 2650000. What is i rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.22463*1.3.\nAnswer: -32.792019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Suppose 3*w - 75 = -2*t + 12, l*w + 15 = 0. Let m be t\/(-60) - 4\/(-10). Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12871*c**3 - 44*c**2*n + 47546*c*n - c - n + 2 wrt c.\nAnswer: -77226*c - 88*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8790? (a) 4\/3 (b) -2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/8 + 279*n**3\/8 - 135*n**2 + 267*n\/2 = 0.\nAnswer: 0, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*w + 17, 0 = -m + 3*m - w - 1. Let k = -3 - -7. Suppose 14 = 5*o - k*d + 43, -22 = 4*o - 2*d. Sort -4, m, o in decreasing order.\nAnswer: m, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229930 is divided by 122.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - -3) + 3 + -3 and ((-33)\/(-18) + -2)\/((-4)\/72).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -3*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (5 - -1)) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 - 2*f - 2*f**3 - 11 - 2*f - 2*f**3 + 7*f**2 + 2*f**2. Determine x(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + r = -5, 0*a - a - 4*r = 20. Suppose -10*l + 5*l + 80 = a. Let i be (l\/12)\/(2\/3). What is the second biggest value in -0.5, i, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 840 + -574. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1753*j + 4. Let k be y(-1). Let f = 2500 - k. What are the prime factors of f?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 11:57 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-1250)\/(-30) - 30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - l - 562, -5*a + 17*l + 704 = 15*l. Find the second derivative of -75 - 65 + 168*u - 248*u**2 + a wrt u.\nAnswer: -496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27662101 to the nearest integer?\nAnswer: 5259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14*((-29)\/170 + (-24)\/(-120)). Let f = w + -59\/102. What is the smallest value in 5, f, -5, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -2057828442718?\nAnswer: 2057828442717.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 421489 + 421170 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4852 and 960.\nAnswer: 1164480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/17)\/z**(-14))**(4\/23) assuming z is positive.\nAnswer: z**(940\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-78)*(-6060)\/(-3535)*1.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -69. Suppose 2*w - 3*z = 1028 - 63, r*w - 1428 = -2*z. List the prime factors of w.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, 5, -7, 104, -3 in ascending order.\nAnswer: -7, -3, 0, 1, 3, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 2*-2 - -4. Solve -w*x = 11 - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -3, -63, 0, -33.\nAnswer: -63, -33, -20, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1412680224 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-54)\/(-36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, c: 2, m: 3}. Give prob of picking 1 c, 1 s, and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26224557 and 25109.\nAnswer: 183571899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -687 - -687.3. Let p = -1.1 + 5.1. Let h = p + -2. What is the nearest to -1\/3 in h, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*b + 4, -5*b + 7*b = d - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 215*5\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -15 - (-18 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 29*c - 79. Let f be m(-11). Let j be 51\/(-34) - (f - (-10)\/(-4)). Which is bigger: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102622 = -26*y - 101868 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41386*s + 3 + 531185*s - 3.\nAnswer: 572571*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, 0.1, 3\/7 in ascending order.\nAnswer: -5, 0.1, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1582 = 5*u + 2*u. What are the prime factors of u?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -2*d + 8*p + 234, -3*p - 448 = -4*d. Calculate the greatest common factor of d and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 953 + -1044.9. Let k = 92 + s. Which is greater: 4\/7 or k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 6*u**2 + 103*u + 6. Let k(j) = -4*j**3 + 5*j**2 - 99*j - 5. Give -6*k(p) - 5*n(p).\nAnswer: 4*p**3 + 79*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from {l: 1, k: 4, a: 1, w: 2, p: 4, g: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820365 and 77.\nAnswer: 9024015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y - 93*y - 230*y + 17*y - 106*y.\nAnswer: -456*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 845, 133\/3, -0.3 in ascending order.\nAnswer: -0.3, 133\/3, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122101021112 + 0?\nAnswer: 2122101021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 16810?\nAnswer: -16801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274 or 820\/3?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(3\/4)\/((r\/r**(-1\/5))\/(((r**(-6)*r)\/r)\/r*r))*(((r\/(r*((r*r**(-4)*r*r)\/r)\/r))\/r)\/r**4)\/((r**(-3\/7)*r)\/(r**(-2\/9)*r)) assuming r is positive.\nAnswer: r**(-10387\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1012\/16 + ((-90)\/(-24))\/(-15). Solve z*c = 67*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 354. Let i be d(-46). Suppose -22218 = -i*l + 896. List the prime factors of l.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375390*i - 687653*i - 687731*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27077 + 47060. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069768 is divided by 2247.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 15*m**2 - 4*m - 78. Determine k(-17).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7139565, 14279124, 21418683?\n\"Answer: 7139559*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 34. Does 5 divide -1*(x + (-4)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 7 - -35)*(-2)\/28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 266 = -2*l - 8*u, -129 = -l - 5*u. What is the remainder when l is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 0.3, -0.06, 4, 0.17 in increasing order.\nAnswer: -0.06, 0.17, 0.3, 0.36, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*j + 9. Suppose -9*t = -j*t - 40. Let u be -5*2*(-4)\/t. Solve u = -2*v + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 - 8\/(-5). Suppose p = q*u - 34 - 563, 2*u = 4. Let x = p + 850. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + p**2 - 3*p**2)*(-p**3 + p**3 + p**3) + 19*p**4 + 27*p**5 - 19*p**4.\nAnswer: 29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 109 = -71*y - 157 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:39 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-4 - (0 + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b)\/(b*b**(2\/13)))\/(b**(-1\/4))**(-1\/6) assuming b is positive.\nAnswer: b**(875\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = -4. Suppose a*t = -17 + 87. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 15\/2, 0, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = u - 9, 0*u + 4*u - 41 = -3*g. Suppose 2*q = -2*r - 6 - 0, -q - 21 = 4*r. Calculate the remainder when (r\/(-1))\/(3\/10) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70900255 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131 and 0.3?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -434 + 443. What is the highest common factor of 72 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*s - 202, -r - 2*s + 79 = -5*s. What is the first derivative of -r + 95 - 49 + t - 18*t wrt t?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0*5\/20)\/(-2))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 13. Let o be j(-8). Solve o*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)\/d)\/d*d**24\/d)\/(d**8*d)**(-36) assuming d is positive.\nAnswer: d**(2413\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 12*w - 6. Let l be m(9). Let z = 451 - l. Calculate the greatest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*n - g**4 - 102*g**3*i**3*n - 8*g**2*i**3 - g**2*i**2*n - 2*g*i**3*n - 3*g*i**3 - g*i*n wrt g.\nAnswer: 48*g*n - 24*g - 612*i**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 152.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 0.4, -3 in ascending order.\nAnswer: -11, -3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 603*o**3 + o**2 - 2*o + 1. Let j be v(1). Let z = 937 - j. Is (-32)\/112 + 5\/14*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h + 314. Let g be k(7). Suppose 270*p = g*p + 449000. Round p to the nearest 1000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u + 810 = 0. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001099903998 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = w + 3*q, 4*q = w + w - 2. Let y be (-54)\/(-10) - 3\/w. Let l = -5 + y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 208*c - 202*c - 84, -4*c = 4*h - 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 4. Suppose -1 + 7 = 2*x. Let m(p) = 0 - p + 1 + 2 + x*p. Suppose 2*q - 3 = 5. What is q*s(w) + 5*m(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -0. Calculate the lowest common multiple of (11\/(-2))\/((-8)\/16) and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*f + 8 = 0, -3*y + 0*f + 5*f = 2. Is -1\/4610 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 3*d)*(22*d - 5*d**2 + d**3 - 22*d).\nAnswer: -2*d**4 + 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-36))\/(2\/(-6)). Suppose d - 4*v = 171, c*v + 176 = d - v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k**5\/2 + 276*k**4 + 5298*k**3 - 125961*k**2 - 755775*k\/2 + 118125 = 0. Calculate k.\nAnswer: -21, -3, 2\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmktotytbbmt. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/25 + (-288744)\/(-31800).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29493535 and 6695?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -104 + (354 - 229)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*-23*(3 + (-33)\/6)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298824 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -3*h + 12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:15 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 23*i + 24. Determine t(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -104 + 55 - 53?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x. Solve 4*m - 2*a = 8, x = -5*m + 5*a + 16 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - 0 - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j**3 + 8*j**2 + 3*j. Let h be n(-5). Let p = -67 - -102. Calculate the remainder when (-6)\/(-9) + h\/15 is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - 4)*2\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + g - 172063 + 172063.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2178*92\nAnswer: -200376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999 = -8*m - 2*m + 779 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/210 + m**6\/24 - 19*m**5\/60 - 29*m**4\/24 + 7*m**3 + 1123*m**2. What is d in n(d) = 0?\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/(0 - -1) - -16. What is the highest common divisor of n and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1111600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161, 573, 1233, 2141, 3297?\n\"Answer: 124*v**2 + 40*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 33060*z**2 - 198515*z - 165450.\nAnswer: 5*(z - 6618)*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -116324 divided by -29081\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 347511 or 347508?\nAnswer: 347511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (70\/(-315) - 104\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 + 4.24. Which is the nearest to 0.1? (a) -2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 18 = -5*f, 0*f + 2*f - 13 = 5*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -73) + 32 + -11 + -22 + -13.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (-11)\/(-24)*(708\/(-243) - -3) and 31\/24.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxcxcghmkkggcxm. Give prob of sequence chcx.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -130122010 (base 5) to base 4\nAnswer: -2121231332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 + 3662127*j + 150152250 = 0.\nAnswer: -41, 1220750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 - 410*f**4 + 6844*f**3 - 20944*f**2 = 0. What is f?\nAnswer: 0, 4, 14, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120533 (base 6) in base 15?\nAnswer: -31e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400000 rounded to the nearest 10000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 12) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1362*b**2 - b. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 - 163. Calculate the remainder when u is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 7:04 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2033298 = -184686*c + 170367*c for c.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/((-264)\/(-22))*-3*(-2)\/(-54)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.41.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = 16. Suppose 31*d = -4*d - 52*d + 348. What is the nearest to -54 in t, d, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 130. What is the units digit of 5*6*6\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: a705 (base 11) to base 14\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (3 - 2\/1). Solve 0 = 2*m + b*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4274664788.\nAnswer: 2, 313, 3414269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10282 - 30847\/3. Are -24736 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*i + 1)*(-2 + 1 + 2) + i - 4*i + 2*i - 4*i + 6*i - i)*(-4*i - 2 + 2 + 2).\nAnswer: 8*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 7*l - 10. Let m be n(7). What are the prime factors of (8\/m)\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5 + 4 - 2*a + 0. Let v be p(-7). Suppose 3*q - v = -2*k, k - 3*q - 1 = -8. Solve -2*d = 5*l + 20, k*l + 0*l + 8 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 25, 31, 33, 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062.16 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let b be (o\/6)\/(1\/9). Sort 5, b, -2 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -43*h**4 - 5*h**2 - 35*h + 5. Let j(v) = -53*v - 2 - 65*v**4 + 7 - 8*v**2 + 3. Let f(k) = 5*j(k) - 8*l(k). Find the second derivative of f(u) wrt u.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33374.999986257 - -33375. What is y rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287212 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = -d. Suppose -5*r + 13 = -d. Solve 3*v = 3, r*z - v = -6*v + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3859488 and 3456?\nAnswer: 15437952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 2*y + y - 3*y. Suppose 0 = -5*c + 4*c + 6. Let d(r) = 3*r. What is c*a(v) + d(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 41*j**2 + 97*j - 15. Let y be a(39). Let d = y + -462. Calculate the lowest common multiple of d and 4.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + 56333613518\nAnswer: 56333613517.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183 or -27925?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 smaller than 2491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 1)*(460 - 2 - -4)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 6*z. Let i(x) = -21*x**2 - 3*x + 2*x + 22*x**2. Let m be (0 + 3)*(-3)\/(-9). Let g be ((-15)\/((-3)\/(-1)))\/m. Calculate g*i(l) - k(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = r - 5*q, 4*r - 5*q - 60 = -q. Let m = -958 - -346. Let w = m - -660. Calculate the remainder when w is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104681187373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2649 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422 + 709 + 2*s + 713.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -849, -1047, -1305, -1623, -2001?\n\"Answer: -30*t**2 - 108*t - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*y + 130 = 0, -80*y + 77*y = p + 80. Put p, 5, -0.4, -1\/2 in decreasing order.\nAnswer: 5, -0.4, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 694 and 142.\nAnswer: 49274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 0. Let m(q) = -7*q + 8*q + 10 + 0. Let g be m(j). Solve -k + g*k + 12 = 2*z, 3*k + 2 = -5*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -19 + -21 + 4 + 24 + 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9734.00015066 - 9734. What is k rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.386 - 0.24. Let f = n + 0.054. Suppose 2*y + 2*w + 1 = -9, 5*w + 21 = -3*y. Sort y, 2\/11, f in ascending order.\nAnswer: y, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 76*k - 1442. Let y be j(38). Which is greater: y or 19\/6?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 14*v**2 + 25*v + 16. Let w be s(-12). Solve -4*c - 2*o + 6*o = 24, 2*c - w*o + 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 245, -32.18, 0.4.\nAnswer: -32.18, 0.4, 245","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 + 4)\/((0 - 1)\/(-1)). List the prime factors of 11*t\/2 - 2\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -1\/120*o**6 - 7\/3*o**3 + 2 + 0*o**2 + 1\/20*o**5 + 0*o + 0*o**4. Let x(b) be the third derivative of n(b). Factor x(a).\nAnswer: -3*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 63\/4 + 3\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1372, -1387, -1404, -1423, -1444, -1467?\n\"Answer: -a**2 - 12*a - 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -171376 >= 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30139*i**3*p**3 + 2*i**3*p**2 - 18200*i**3*p wrt p?\nAnswer: 180834*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(-4)\/56*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 60688 = 2*a - 2*f, -121396 = -4*a - 4*f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4900 and 447125.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 - 24*o**2 + 5*o + 18. Determine d(-8).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0 - 2, 4*x = 3*h + 34. Let g(v) = v + x*v + 4*v**2 - 16*v. List the prime factors of g(6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33722 (base 8) to base 7\nAnswer: -56443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 3453 = -7*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 - 5*h - 6. Give k(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 8 = 4*l. Let o(s) = -2*s + 110. What is the lowest common multiple of 18 and o(l)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*g - 0*g - 224, 5*n = -3*g + 1035. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15024 = -36*o + 15780 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1410*y**2 + 40*y - 28 wrt y?\nAnswer: 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -21*d - 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1578*l**3 - 2*l**2 - 6*l + 2. Let z(o) = o**3 + o**2 + 3*o. What is -a(v) - 2*z(v)?\nAnswer: 1576*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -196576.\nAnswer: -23\/196576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 4218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3338827?\nAnswer: 3338825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2979e10d + -2?\nAnswer: 2979e10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 8 - 4. Suppose 2*l - 42 = 4*s + s, -j*l - 5*s + 24 = 0. Calculate the smallest common multiple of 5 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 857, 1594, 2359, 3158, 3997, 4882?\n\"Answer: j**3 + 8*j**2 + 706*j + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 8*p**2 + 11*p + 11. Let i be v(8). Suppose -19*q + 10*q + i = 0. Which is smaller: q or 52\/5?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 542*d*f**3 + d*f + 192*f**2 wrt f?\nAnswer: 3252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 5*k + 2. Let t(r) = -r. Let j = -5 + 10. Calculate j*t(b) - a(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -67 (b) 0.19 (c) -1\/519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 - 9*j**2 + 12*j + 9. Let m(b) = 12*b**3 + 18*b**2 - 23*b - 17. Let i(w) = 3*m(w) + 5*v(w). Find z such that i(z) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (198\/(-45))\/(1\/(-10)). Let g = -48 + h. Let x(m) = -14*m - 2. What is the remainder when 158 is divided by x(g)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3938377.\nAnswer: 19, 53, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63570 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from {e: 2, t: 1, a: 9, b: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4\/h*h\/h**(2\/39)*(h*h*h\/h**2)**19)**(-3\/17) assuming h is positive.\nAnswer: h**(-895\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-84)\/(-560))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27210*k**2 + 54425*k**2 - 27203*k**2. Let u(g) = 6*g + 4. Let f(h) = h + 1. Let d(i) = 4*f(i) - u(i). What is d(y(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 15023534?\nAnswer: -15023522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4833 + 4868. Solve -p*m = 9 - 114 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f6 (base 16) to base 12.\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*y = 2*r - 12, 52 = 5*r - y. Let t(a) be the first derivative of a**3\/3 + 2*a**2 - 8*a - 3. Let l be t(-6). Solve -l*x = 2 + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -1\/8*z**2 + 1\/6*z**3 + 0*z - 1\/16*z**4 - 6. Factor a(m).\nAnswer: -m*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 31. Let z(o) = 454*o - 2. What is x(z(g))?\nAnswer: -412232*g**2 + 3632*g + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2590 - -2588.909. Let d = g - -0.091. Let p = -24.6 - -25. Which is the second biggest value? (a) p (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 604 = 4*r - 7*r, -3*r = -5*w - 602. What is the lowest common multiple of 36 and r?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 13*g + 12. Let o = 16 - 28. Let j be m(o). Suppose -12*s + 8*s + 20 = j. Solve 2*d - s = -3*i, 3 = 3*d - 2*d + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.5 + 8.4. Let u = -1661\/21 + 79. Which is the third biggest value? (a) 0 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, w: 1, e: 5, o: 1}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228165 is divided by 18988?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-15)\/(-70))*735\/(-42) - -3. What is the third smallest value in -4.84, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + r**2 + 21*r + 11. Give g(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 9)*(111 - 2*l - 111) + (1 + 3 + 0)*(-9 + 9 - l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccik. What is prob of picking 1 k and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 71456 = -322349 - 801801. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 90. Let b be -2 + 1*(-2 - -4). Let m(x) = x**2 + 10. Let h be m(b). What is the greatest common divisor of h and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 807 + -1037. Let n = -235 - p. What is the nearest to 1\/6 in 4, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - 1. Let j = 14.1 + w. Let m = 0.1 + -0.2. What is the nearest to m in j, 0.3, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 1. Calculate the remainder when (-575)\/(-7) - 3\/21 is divided by y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -3.\nAnswer: -236\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 + -214. What are the prime factors of (9\/6)\/(c\/1248*1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:07 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2209 + 192 = -731*y - 19561 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110) + sqrt(110)*-1) + sqrt(110))\/(sqrt(20)\/sqrt(32)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 3075 = -154*y - 50*y + 7667 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/15)\/((-1)\/15))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {c: 2, a: 4, q: 3, u: 1, w: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 165, -0.3, 24806, 12 in descending order.\nAnswer: 24806, 165, 12, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d6 (base 16) to base 5.\nAnswer: 21434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.303, 2\/5, 3, 0?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*u = -u - 1216, 5*t + 3*u = 6080. Calculate the remainder when t is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 2*m**3 + 20 - 6283*m**4 + 12559*m**4 - m - 6279*m**4 + 3*m**2 to b*m + q*m**2 + t*m**4 + a + v*m**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 + -616. Let d = p - -4249\/13. Which is the third biggest value? (a) d (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -13 (c) -112\/123 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11589.724 + 11590. Which is the second smallest value? (a) o (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -76859*c**2 - 1076025*c + 19. What is p(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-22 + 6 - 9)*(4 - 2*m - 4).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-24)*2*(-66)\/(-22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(3*q**2 + 5*q**2 + 0*q**2)*(-3*q + 3*q + q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -823 - -4112\/5. Which is the biggest value? (a) -27 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 989, -3, 0, 115 in descending order.\nAnswer: 989, 115, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(182)\/sqrt(7))\/(-2*(sqrt(2)*4 + sqrt(2))).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j**2 + 16*j**3 + 58*j**3 - 31 - 76*j**3.\nAnswer: -2*j**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 4}. What is prob of sequence jvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f - 2*f)*(1021*f**2 - 1020*f**2 + 2 - 41).\nAnswer: -3*f**3 + 117*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 13*g**4\/12 - 6*g**3 - 2*g**2 + 10*g. Let o be y(2). Calculate the highest common divisor of o and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 - 247. What is the remainder when 168 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -0*f. Let t(s) = -3*s + 5*s**2 - 4*s**2 + 2*s - f*s - 3. Is 11 a factor of t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*d + 80*d - 5*d to the form c + x*d and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 4 + 4 + (-5 + 5 - 2*m)*(-1 - 1 + 0) + (5 + 2 - 4)*(-4 + 3 + 3)*(-5*m + m + m) to f + h*m and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 375 = 1425. Suppose 3*l = 3*x + g, l - 3*x - 47 - 15 = 0. Let j = l - 519\/7. Sort j, 5\/3, -3 in descending order.\nAnswer: 5\/3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 5 = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3449977 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -298 + 306. Suppose 0 = r*u + 6 - 22. Solve -2*h + 25 = -3*f, -u*h - 2*f + 35 = -5*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 287\/9, -2, -1\/3, 11, 6, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -6401, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 150. Let o be b\/9 - 2\/(-3). Suppose 12*n - o*n = 51. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 108, 151, 208, 279?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -64.66 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331 + -1.88425.\nAnswer: 329.11575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14484*-5.\nAnswer: -72420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -3, 0.1, 3, 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -29 - ((0 - 1) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/21663 and -59\/32175.\nAnswer: 77445225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u - 28 = 83*u. Suppose 0 = -4*g + 3*q + 20, -4*g = -g + 4*q - 15. Which is the nearest to 1\/18? (a) g (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*z - 47*z**2 - 161*z - z**3 + 47*z**2 + 0*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 3*n + 2*n. Suppose -y = -4*y + n. What is the remainder when y is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7386 - 7385.9. Put -2\/13, -2, 23, m, 2\/9 in descending order.\nAnswer: 23, 2\/9, m, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.056 - -0.026. Let b = 583 - 820. Let m = -2609\/11 - b. What is the third smallest value in m, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 26*b - 6*b - 508998. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/120*-13*(-21)\/(-10) and -109\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/420 and -27\/56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 21 - (-85)\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-77) - (-448)\/77?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -68*t**2 + 10*t + 35. Let n(v) = 202*v**2 - 28*v - 98. Let j(u) = 14*l(u) + 5*n(u). Let y(w) = 2*w - 2. What is y(j(r))?\nAnswer: 116*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 413929774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1695676 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25860)\/(-7560) - 4\/(-18) - 5. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -21*p. Let u be l(2). Is (u\/(-4))\/(3\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -1109479.\nAnswer: -75444572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + 1 + 14 + -7 + 16.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 91043378*k\/7 + 182086748\/7.\nAnswer: 2*(k + 2)*(k + 45521687)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**2 + 693*x - 157. Let y be p(-58). Solve -5*d + y = -4*f, 4*d - d - 17 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**12)\/b*b*b)**14)**(-6))**7 assuming b is positive.\nAnswer: b**5880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 326?\nAnswer: 17278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24131 (base 6) in base 11?\nAnswer: -2702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, -824, -2262, -4276, -6866, -10032?\n\"Answer: -288*q**2 + 2*q + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -5 + -3 + sqrt(363)*1 + sqrt(363) + -4 + -2 + sqrt(3) + sqrt(3) + sqrt(3) + 5)**2.\nAnswer: -522*sqrt(3) + 2604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18122.\nAnswer: 2, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -333303, -2, 1.\nAnswer: -333303, -2, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14*(583\/77 + 3\/7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11507, 7, 262.\nAnswer: -11507, -3, 7, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 6, n: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/41 (b) -3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306301 is divided by 1001?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14227*s - 62. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1090, -24, 4, 5, 3 in decreasing order.\nAnswer: 5, 4, 3, -24, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - -1.3. Let z = 0.06 - 0.06. What is the biggest value in 2\/3, a, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:32 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/13 - 12228*s**3\/13 + 36672*s**2\/13 - 36668*s\/13 + 12222\/13 = 0?\nAnswer: 1, 6111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/875 and 1\/532.\nAnswer: 66500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + -0.8. Suppose m - 5 = -0*m + 3*y, -2*y = -2*m + 2. Let t = 0.2 + 0.3. Which is the closest to 1? (a) m (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34145143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35503?\nAnswer: 13, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 3. Let d(n) = 14*n - 15. Let r(y) = d(y) - 6*q(y). Let z(f) = -4*f**2. Calculate r(z(i)).\nAnswer: -80*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8746, 8816, 8884, 8950, 9014?\nAnswer: 9076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127 and -40?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85) - 2*sqrt(85)*2))*2)\/(-5*((sqrt(605) + (sqrt(605) - 1*sqrt(605)) + sqrt(605) - sqrt(605)) + sqrt(605) - sqrt(605))) + 3)**2.\nAnswer: 24*sqrt(17)\/55 + 27497\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 + k - 751*k**2 - 749*k**2 - k + 1497*k**2 as q*k + v*k**2 + z and give z.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 7*x**2 - 7*x**2. Let a(v) = 18*v. Let g(r) = 10*r. Let j(b) = 6*a(b) - 11*g(b). Give j(u(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -5, 25 in descending order.\nAnswer: 25, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11868*h + 6990*h = -1037190 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkn when three letters picked without replacement from {n: 1, k: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139 - -186880843347.\nAnswer: 186880843486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(11\/5)\/(q**1*q**(1\/4)*q) assuming q is positive.\nAnswer: q**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 - 21822*j - 654700\/3.\nAnswer: 2*(j - 163675)*(j + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z - 8. Let r be 8\/6 + 14\/3. What is the units digit of y(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 23 = -112*a + 115*a, 6*t = -a - 119 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, -4\/3, -22, 46, 2\/7, -99 in decreasing order.\nAnswer: 46, 2\/7, -4\/3, -9.2, -22, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = 7*j + 723. Solve -10*d + 9*d - 2 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 9188*y**2 + 165141*y + 742770 = 0.\nAnswer: -9170, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 422407751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*y = 16, 0 = 2*m - 6*y + y - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 - 3*t**3)*((-t + 0*t + 2*t)*(5 - t - 5) - 3*t**2 - 5*t**2 + 4*t**2).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 21*f + 17. Let a be c(11). What is the third derivative of 3*q + q - 1224*q**2 + 21*q**a + 1216*q**2 wrt q?\nAnswer: 2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/10 and 53\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 4680. Let o = 87 + -73. Suppose t + o*t = l. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/9466814 and 29\/1026522.\nAnswer: 85201326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-64)*4 + -30 + (-8270)\/(-280)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229152 + -346092. Let j = -30074 - -73134. Let q = k - j. What is q rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118 + 227 - 1005*f**3 - 109 + (2 - 3 + 0)*(f**3 + f**2 - f**2) - 3*f**3 - 3*f**3 + 5*f**3.\nAnswer: -1007*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 3, -10, -1 in decreasing order.\nAnswer: 3, -1, -10, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*b + 34, -2*s + 3*s + b + 19 = 0. Let p be (-15 - -16) + s\/2. Which is smaller: p or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhh when four letters picked without replacement from hqhqqqhqqhqhqq.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 26 = -s. Calculate the highest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207090.4 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 + l + 1. Calculate w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + -4ba?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) 0.04 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40644172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 4)*-1 + 14. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610702944 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 3, s: 3, y: 5}. What is prob of sequence cys?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1bb (base 13) to base 5\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25199\/5403 - -5\/1801. Factor -4\/3*w**5 + 0 + 0*w**2 - 4*w**3 - m*w**4 + 0*w.\nAnswer: -2*w**3*(w + 2)*(2*w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -6) + (6 - 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i + i**2 - 10*i)*(3*i - 3*i - 2*i**2)*(3*i - 4*i + 0*i).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + o = 13, 5*o = 10*d - 12*d. Let r(h) = h - 10. Calculate r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 6*l - 7*l)*(-10 - 13 + 5)*(-3*l + 14*l - 2*l).\nAnswer: 1296*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*l - 33313 + 3081, 15128 = -2*g - 4*l. Is (-8)\/(-132)*-3 - g\/77 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 33\/7, 0.6, 5 in decreasing order.\nAnswer: 5, 33\/7, 3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13113 (base 9) to base 2.\nAnswer: -10001010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33.55243 micrometers?\nAnswer: 0.00003355243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let b be (18\/15)\/((-6)\/(-20)). Suppose 1 = b*n - 3. Calculate the remainder when o is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385058160?\nAnswer: 2, 3, 5, 17, 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20878920 and 990.\nAnswer: 229668120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpr when three letters picked without replacement from preooexxpxexexoeee?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634*i = -1726*i - 1196 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3 = -2*b - 3*b, 0 = 5*o + b - 33 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/((-93)\/(-496)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -149095*o - 180. Let d be z(-44). What is d rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 2:33 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33718074*m - 29683443 wrt m.\nAnswer: 33718074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -120437824, -240875645, -361313466, -481751287, -602189108?\n\"Answer: -120437821*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*d - 0*d + 3366, -4*a = -5*d - 3382. Suppose x = -3*n + a, 5*x + 0*n - 2*n - 4198 = 0. Is x a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7905593 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119208 is divided by 1496?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esfs when four letters picked without replacement from sqefqsa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6285.318 decades?\nAnswer: 62853.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i*k**4 + i*k**3 + i*k**2 + k**4 + 3*k**2 + 5*k wrt k?\nAnswer: 120*i*k + 6*i + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.134*-757.3\nAnswer: 101.4782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 19. Let k be h(-10). Factor 3 + 19*x + x - k + 2 + 25*x**2.\nAnswer: (5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 + -1071739451\nAnswer: -1071739451.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 2245\/517 - -1\/47. What is the common denominator of r and 22\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -252381 and -252312 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**7\/13860 - d**5\/660 - 3*d**4\/8 - 5*d**2. Let s(l) be the second derivative of m(l). Factor s(a).\nAnswer: 2*(a - 1)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 2665?\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.4 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 967 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/115255036 and -11\/5215160.\nAnswer: 1152550360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 879 - 871. Suppose -y*x + 11*x + u - 24 = 0, -x + u = -8. Solve -4*r - x*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/4 - 2*p**3\/3 - 3*p**2\/2 - 8*p + 1. Let j be a(4). Let i = 14 - j. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 5724*a - 63327 = 0.\nAnswer: -1919, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 1494*w**4 - 367432*w**3 - 28588896*w**2 + 285005952*w - 256048128 = 0. Calculate w.\nAnswer: -252, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 10 = 11*q. Suppose -q*n = 5 - 1. Is 20 a factor of n\/11 + (-2210)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 124 - 124 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 6\/19 (c) -14 (d) 0 (e) 3\/13 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112012010112111 (base 3) in base 9?\nAnswer: -15163474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-15)\/(-3)))\/((-2)\/(-30)). Let w = i + 16. Solve q = -5*t + 17, 0*t - q - w = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 7*a - 6*a. Solve 4*t + 16 = 3*v, 2*t = 5*v - 11 - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 2\/127, 3\/5?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8 (b) -2\/19 (c) -7.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 8965.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4369 + 4378.985. Round r to 1 decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2955639027 to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2999.6902 and -99.8.\nAnswer: 2899.8902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**3 - 4*c**3 - 3*c**4 + 2 - 2*c + 2*c**4 - c**4 as z*c**4 + i*c + p + s*c**3 + x*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 2*g - 5. Let b be c(-4). Let m be 4*(0 + b\/4). Let w(p) = -2*p**2 - 10*p + 3. Let o be w(-2). Solve 5*z - j = 4*j + o, -j = m*z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-5)\/5*2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -3, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3485 (base 11) to base 12\nAnswer: 278a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -25. Suppose 4*d - 2*d - 12 = 2*h, -3*d - g*h + 23 = 0. What is the least common multiple of 6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:04 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c**1)\/(((c\/c**8)\/c)\/(c\/(c\/(c\/((c*((c*c**(-4\/3))\/c*c)\/c)\/c)))*c))*(c*c**9*c\/((c*c*c**(4\/3))\/c))**(-1\/38) assuming c is positive.\nAnswer: c**(268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.1 + -514768375.\nAnswer: -514768361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6393, 51560, 174273, 413304, 807425, 1395408, 2216025, 3308048?\n\"Answer: 6462*q**3 + q**2 - 70*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - r - r + 2*r - 3*r + 0*r + 2*r - 4 + 4 + (-5 + 3 + 1)*(r - 2*r - r) - 1609*r - 37 - 367 + 1608*r.\nAnswer: 4*r - 404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**3 - 4*d**3 + 5*d**3 + (0 + 0 - 1)*(-2*d**3 - 3*d + 3*d).\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*r = -19, -4*z + 4*r - 3 = -3*z. Let i = 3 - z. Let c be (i\/4)\/((-4)\/(-12)). Put c, 4, 3 in ascending order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -854*r + 1004*r + 5067 + 3933 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*y**3 - 19*y**3 + 53*y**3)*((2*y + 2*y - 5*y)*(0 + 21 + 11) + (2*y + 0*y - 4*y)*(3 - 6 + 0)) as t*y + p*y**3 + s*y**2 + h*y**4 + u and give h.\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*j*p**2*q - 295*j*p*q**2 + 909*j*p*q + 28*p**2*q**2 + p*q wrt q.\nAnswer: -590*j*p + 56*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-24) + 266\/48 - 6.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(70\/4)*5. Let c(h) = h**3 - 2*h**2 - 2*h + 2. Let z be c(g). Let p(r) = r**3 + 2*r**2. Let m be p(z). Solve m = -3*n - 0*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -496, -3, -6, -7, 1, 0 in decreasing order.\nAnswer: 5, 1, 0, -3, -6, -7, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g - 4. Let o be u(-5). Let f = 9 + -6. What is the units digit of (2\/f)\/((-3)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20416, -20432, -20462, -20512, -20588?\nAnswer: -20696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 + 3*i**3\/2 - 5*i**2\/2 - 3*i + 4. What is m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723776 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27606*v - 27624. What is h(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-1)\/(-5)*-4. Let m be ((-6)\/(-9))\/((-3)\/(-54)). Suppose 3*r + m = p*r. 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: Is 82 a factor of 541300416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486625.\nAnswer: 5, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 and -173\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from yyynyycmyyqcnyyqqc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -77. Let o(n) be the first derivative of 1\/4*n**t + 0*n - 3\/8*n**2 - 6. Factor o(s).\nAnswer: 3*s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 2*l + 3723 - 4*l - 2*l.\nAnswer: -l + 3723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22308 greater than or equal to -22264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-28))**(-2\/165) assuming l is positive.\nAnswer: l**(56\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-63))\/(5\/45)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1623860255 + -7.\nAnswer: 1623860248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(16)\/sqrt(8) + -2) + sqrt(6)\/sqrt(12)*-6.\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/32*8552*113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 20. Suppose 4*v - 3*u + 12 = y, 4*u + 16 = -3*v + 8*u. Let z(f) be the second derivative of f**4\/12 - f**3\/6 + 7*f**2\/2 + f. What is z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 5 + 3 + 1 + 3 + 0.\nAnswer: -8*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 42 = 27. Let s = 2 - g. Let z(m) = -m**2 - 4*m + 5. Let w be z(-5). Solve 3*j + 5*a - 11 = 5, w = 5*a - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9221100.\nAnswer: 2, 3, 5, 7, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 3786.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 5. Let m be v(0). Suppose -25 = -4*s + y, -5*s - 3*y + m = y. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-18))\/(-11) - (-7611)\/(-765) - (-86)\/(-731)?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -1, -5 in decreasing order.\nAnswer: 54, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 + 2*h**2 + 22 + (-h + h + h)*(-5833 - 804*h + 5833).\nAnswer: -802*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1377 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5*b - 4*b - 1)*(-2*b - b**3 + 2*b) to the form u*b**3 + r*b**4 + g*b + k*b**2 + d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1387916916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 35*y - 3 + 9 + 1 - 1 - 2*y + (-2 + 3 - 2)*(4*y - y - 2*y) in the form h + k*y and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 40, 32, 8, -38, -112, -220?\n\"Answer: -i**3 + i**2 + 6*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 416.\nAnswer: 7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342162, -342163, -342164?\nAnswer: -342165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24051423 (base 8) in base 12?\nAnswer: -191a46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 381*v + 2 - 4.\nAnswer: -381*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 7*d**2 - 3*d + 5. Calculate b(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -6*k + 84. Suppose -h + 4 = 4*z - 4, z - h - 7 = 0. Sort z, k, -4 in increasing order.\nAnswer: -4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -w - 3*c, -4*w - 6268*c + 6267*c = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10110011010?\nAnswer: -10110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -717, -0.3, 0.48, 0.3, 0 in increasing order.\nAnswer: -717, -0.3, -0.2, 0, 0.3, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 6. Let m(u) = 5*u - 18. Let j(p) = 3*m(p) - 8*r(p). Let n be (-2 - (-10)\/6)\/((-4)\/(-96)). Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + j + 5346 = 0. Let i = j - 486. Solve i = -3*o - 3, 0*c + o + 9 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 77 = -123. Let y be (-16)\/p + (-7)\/5. Let s(a) be the first derivative of a**3\/3 - a**2\/2 - a + 1. Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39 - -38)\/((-129)\/(-33) - 4). Solve -4 = -15*g + c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 78 - 84. Calculate the highest common divisor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 4) to base 6.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12278 + g**4 + 145*g**4 - 12274 - 8*g wrt g?\nAnswer: 1752*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - 0.81. Let b = -0.03 - r. Let g = -28.9 - -29. What is the closest to g in 3, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1494 - 291 = 4*n, 0 = -2*b + 4*n + 702. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102*d**4 - 1981 wrt d?\nAnswer: -408*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 1, -0.2, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 458*l**2 + 54*l + 24844. Give x(-458).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 2. Let h = -249 - -258. Calculate the remainder when h is divided by d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*l - 374, g + 5*l + 168 = 39. Let f = g - -193. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5365 divided by 1073\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*l - 71298 + 5845 = 486*l + 297*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6605911 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27.9826 - 229573\nAnswer: -229600.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 47*b + 128. Let g be l(18). Sort -40, g, -3.\nAnswer: -40, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 890?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -55 in descending order.\nAnswer: 2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2\/3)*(35 - 20). Let f(c) = -2*c + 2*c**2 + c**3 - 9 - 14*c**2 + 9*c**2. Is f(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 145 = 4*o + 11*t, 117 = 3*o + t. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2\/(-4)*(8\/(-15))\/((-3780)\/1575)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12122690, 24245382, 36368074?\nAnswer: 48490766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/1606320 and 43\/19596.\nAnswer: 114048720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 4*t + 2. Let o be ((-8)\/(-7))\/(-6 - (-352)\/56). What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015227 rounded to 6 decimal places?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -18*x + 5*x. Suppose u + x*h = -h + 103, 0 = u - 3*h - 97. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)\/(39\/(-117))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b1 - 0?\nAnswer: 12b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a + 4, -4*l + 2*a + 340 = 0. Differentiate -l - 76 + 167 + 16*o wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/8 + 41589*v\/8 + 8320158 = 0.\nAnswer: -1449, 15312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262*o + 60 + 60 - 183 + 63 to y*o + m and give y.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24771791 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 158 = 0. Suppose -6 = 2*r - 4*n + 10, 5*r + 62 = -n. Let c be (-6)\/36 + d\/r. Solve 2*l + 3 = c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61967747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 10. Let y(o) = o**2 + 13*o + 29. Let c be y(-11). Suppose c*w = -14 + 49. Let r be z(w). Solve 2*s - h - r = 0, 3*s - 20 = -0*s + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus -11326899414?\nAnswer: 11326899414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/8083 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 175 = -217. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1250, -5013, -11298, -20117, -31482?\n\"Answer: -2*n**3 - 1249*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 21 - 4*r - 36 + (1 + 7 - 3)*(0*r - 5*r + 3*r) to the form b*r + o and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659653221.\nAnswer: 89, 18647789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 12\/37, 0.1?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 8.565.\nAnswer: 42.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 + 441*o - 86436 = 0.\nAnswer: -588, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2954, -2949, -2940, -2927, -2910, -2889, -2864?\n\"Answer: 2*z**2 - z - 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3228939 and 307518.\nAnswer: 6457878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 72. Let q = 104 + -168. Let i = s - q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**4 + 4*y**3 + 10*y. Let g(f) = -14*f**4 + 3*f**3 + 9*f. Let a(u) = 4*g(u) - 3*m(u). Find the second derivative of a(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = 4*t, 574*t - 577*t + 5 = -x. Which is smaller: 60\/29 or t?\nAnswer: 60\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 939 + 1682. Suppose 193 - o = 2*j. What is the units digit of j\/(-14) + (-8)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c**2 - c**2 + 28 - 31 - c**3 + 3*c to k + t*c + q*c**3 + d*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**6\/a))**18*a*a*a**(1\/9)*a*a*a**(2\/5) assuming a is positive.\nAnswer: a**(-3037\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 395525 to the power of 1\/2, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 684\/72 + 81165\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8235951 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*l - 13*f**4 - 38*f**3*l + 13*f**2*l + 16*f**2 wrt f.\nAnswer: -48*f*l - 312*f - 228*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + 2*c - 2. Let s(m) = -14*m**2 + 5*m - 5. Let n(i) = -5*h(i) + 2*s(i). Let p(x) = x**2. Determine n(p(b)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 477? (a) -0.2 (b) 3\/8 (c) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + -1340?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 243. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-35)\/(-2))\/(3 - (-20)\/(-8))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 4}. Give prob of picking 2 w and 2 g.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 1897404 + 324061. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 1.09. Let j = -0.193 - 0.007. Is j equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*l = 16 + 13, -5*l - 6 = 3*c. Sort 5, 55, 0, c in decreasing order.\nAnswer: 55, 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 378.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -105. Let f = l + -50. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**4 + 3630*r**3 + 260045*r**2 - 2563680*r + 5860400 = 0?\nAnswer: -644, -91, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 101*h**3 + h - 36189 + 36187 + 0*h**3 + h**3 + h**3 + (5*h + h - 4*h)*(-4*h**2 + 2*h**2 + 3*h**2) as s*h**2 + v*h + i*h**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/12 + 3*n**3\/2 + 34*n**2. Determine o(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = 5*b - 5*i, 3*b + i = 17. Suppose 11*j = 9*j + b. Put 5, 1, -4, j in descending order.\nAnswer: 5, j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212419056?\nAnswer: 2, 3, 4425397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*g = -180*g + 120 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 31. Let u = 73.00039 + x. Round u to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3186045.\nAnswer: 3, 5, 101, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 370*f + 1 + 0 + 21*f + 156*f.\nAnswer: -4*f**2 + 547*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28025776 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 + q - 1. Suppose 0 = -3*d - 2 - 16. Is c(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, h: 9}. What is prob of sequence xxx?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-15)*28\/7*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60604*g**3 + 7611*g wrt g.\nAnswer: -363624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 11538.\nAnswer: 599976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 33 + 22)*(-2 - q + 30*q**3 - 32*q**3 + 0*q).\nAnswer: 46*q**3 + 23*q + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/12 + 8*y. Suppose -20*d + 23*d = 36. Suppose 9*u - 9 = d*u. Give z(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p + 13. Let g(q) = q. Determine -2*g(d) - i(d).\nAnswer: -23*d - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 + 10*v - 7. Let t(c) = -9*c**2 + 11*c - 8. Calculate 6*j(n) - 5*t(n).\nAnswer: -3*n**2 + 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 15*z - 29. Determine s(12).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*d - 1170*d + 2310*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1706420 (base 8) to base 9\nAnswer: -833738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*n + 48*n + 385 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = 17*s, 4*s = -8*w - 144 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -19, 0, 2, -0.5, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 3*n - 7. Let i(c) = c**2 - c - 5. Let l be i(0). Let t be r(l). Suppose -s + 8 = 3*s + 4*o, -s = -t*o - 10. Solve s*w + 4 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = v + 8, 186*v - 14 = -4*j + 184*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 58*v**2 - 1221*v - 9160. Give p(-73).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060969854 to the power of 1\/2, to the nearest integer?\nAnswer: 55326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o + 8. Calculate h(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1*sqrt(468) - sqrt(468))*-1 + -4))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 264054*j**2 + 1 - 264059*j**2 + 4 + 33*j**4 - 2*j**3 as s*j**4 + g*j + p + n*j**3 + k*j**2 and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*x + 12, -4*x = g - 18 + 3. Suppose 2*u + 2*j = 42, -g*u = -3*j - 63 - 24. Calculate the remainder when u is divided by (-5 + 1)*(-13)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697933699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*d**3*r**2 - 723*d**3 - 19*d**2*r**4 wrt r?\nAnswer: -18*d**3*r - 76*d**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14107 - -0.01506865?\nAnswer: -14106.98493135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 6 = -12. Suppose -104 = -j*l - 2*p, 3*l + 3*p - 128 = 7*p. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/10713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52909 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + -4 + sqrt(1216) + sqrt(1216) + -4 + 4 + sqrt(1216) + -4 + 5)**2.\nAnswer: -480*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174092 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 94*i - 1417. Let y(f) = -f**3 - 6*f**2 + 3. Let w be y(-7). What is the greatest common divisor of w and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**2 + 12*i**2 + 2*i**2)*(-3*i - i + 5*i) - 122*i**3 + 16 - 3 - 11 + i**3 + 3*i**3 - 2*i**3.\nAnswer: -113*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2280 = 5*a. Let l be a\/4 - (0 - 2\/(-4)). Suppose 2*u = -4*o + l, -o + 0*u = 5*u - 40. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v + 19*v - 5*v + 378 - 508)*(1 - 2*v**2 - 1 - v**2 + 4*v**2 - v**2 + (1 + 0 + 0)*(-v**2 - v**2 - v**2)).\nAnswer: -111*v**3 + 390*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:16 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889*m + 1901*m + 1900*m + 1896*m - 7583*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let w(i) = 937*i**2 + 37*i. Determine w(n(k)).\nAnswer: 3748*k**2 + 74*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 20 + 24. Suppose -u = 2*w + w - 720, -x*w + 2*u + 472 = 0. What are the prime factors of w?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5518 times 0.61\nAnswer: -3365.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -21340*u + 106704. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45472 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 433337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019908 to six decimal places.\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:41 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 20*v**2 + 165*v - 3027. Give s(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j**2 - 69*j + 59. What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/528*51*4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10978706, -21957379, -32936048, -43914713, -54893374, -65872031?\n\"Answer: 2*a**2 - 10978679*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36164 divided by 1297?\nAnswer: -36164\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 6752?\nAnswer: -6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + 1 - 7\/(-28). What is the greatest common factor of 3 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 0 + 0)*(4*b + 0*b - 3*b) + 3*b - 3*b - 2*b**2)*(7*b**3 + 3*b**3 - 5*b**3) + 3*b**5 - 5*b**5 + b**5.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.324 + 22.8. Let l = m + -0.176. Which is the second biggest value? (a) 2 (b) 4 (c) l (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1315 - 0.1665. What is p rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168894 is divided by 1330?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -45*r - 4 + 9 + 1. Let g be b(4). Let a = -47 - g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - ((-22 - -17) + 23 + -37 + -3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 308491332*d - 7930575159927852.\nAnswer: -3*(d - 51415222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**2 + 5*p - 7. Let j(g) = -g**2 + 2*g - 1. Calculate b(r) - 4*j(r).\nAnswer: -4*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284193?\nAnswer: 3, 7, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 43. What is the closest to -3\/4 in 0.5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 = 2*i - 4*t, -3*i + 5*t + 40 = 0. Let m be 3 + 3 + 11\/1. Suppose i*x = m + 13. Solve 26 = 5*a + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let a = 2\/899 - -833\/29667. Do a and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = 5*a + 2020, -a + 505 = -m. Let d = -18 - m. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 (base 9) in base 10?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -382 (base 10) to base 9.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10849 - -469033?\nAnswer: 479882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, x: 5, y: 2}. Give prob of sequence ynyn.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20608 and 1572648?\nAnswer: 25162368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2163, 2, -5 in decreasing order.\nAnswer: 2163, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-16 - (-29)\/(145\/(-195)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 4*i**2 + i**2. Let r(t) be the first derivative of 2*t**3\/3 - 5. Calculate m(r(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -21*y**2 + y - 1. Determine u(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -92*k**2 + 209*k + 221. Let b(j) = 56*j**2 - 104*j - 111. Let c(w) = 5*b(w) + 3*r(w). Find the first derivative of c(z) wrt z.\nAnswer: 8*z + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 2\/21 (c) 9\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -9, 214, 5 in increasing order.\nAnswer: -12, -9, 5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*i + 4*i + 2*c - 7 - 17, 0 = -0*i + 3*i - 37*c + 287 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from {g: 7, y: 1, f: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*l + 18 = 5*i, 12 = 3*l. Let q(p) = 2*p**2 + 7*p + 4. Let t be q(-4). Let m be i\/(-4) - (-108)\/t. What is the highest common factor of 65 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 31) + 0 + 29 + (-1 - -18)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 9*o**2 + 3937*o - 45270. Determine v(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/131 - -758\/917. Suppose -2*o = 5*z + 34 - 14, 20 = 4*o - 5*z. Determine v so that 2\/7*v**2 + o - 2\/7*v**5 + 6\/7*v**4 + 0*v - q*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*815\/(-1467)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 94*p - 19. Let v be w(-19). Solve -10*r + 2*c = -6*r + 26, v = -r - 2*c + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148906657.\nAnswer: 107, 1391651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010021 + -120?\nAnswer: 1002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.2917088894 and -0.5.\nAnswer: -2.7917088894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/6 + 77*y**3\/6 - 27*y**2 + y. Let p be x(12). What is the greatest common divisor of p and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 7) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14601 + -14578. What is the remainder when 151 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22473656 to the nearest integer?\nAnswer: 4741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11038 or -15364?\nAnswer: -11038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1017 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-40 - 38) - 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:28 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77176, 2, 1, 7 in decreasing order.\nAnswer: 77176, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 220 + 80 - 374 + 12*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 10*t. Let f(x) be the second derivative of -x**4\/12 + x**3\/2 + 4*x. Calculate 10*f(s) - 3*m(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -41, -62?\n\"Answer: -21*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 - 4*l - 2. Let v be t(-4). Let s = 0.28 + -5.28. Put s, -1, v in increasing order.\nAnswer: s, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 26689086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-600)\/36*(-48)\/10. Let z be (-1 - 1661249)\/(3\/t). Round z to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c - 2*c - 8*c**2 - 27339*c**3 - 7 + 27506*c**3 + c wrt c.\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkggntrggnrt. What is prob of picking 2 n, 1 k, and 1 t?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/4 + 135*i\/4 - 459\/2 = 0. What is i?\nAnswer: -51, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180.34 - -180. Put -5, r, -0.4, -1\/4 in descending order.\nAnswer: -1\/4, r, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrgroggmdgo. What is prob of sequence rdoi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 + m**2\/2 - m. Let o(n) = -346*n - 540. Let f(i) = 48*i + 75. Let p(c) = -36*f(c) - 5*o(c). Give p(y(q)).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + (-59)\/(-10) + -6?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.025 and 1.1.\nAnswer: 1.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 4*k - 1. Let s be r(-3). Suppose s = 3*b - 2*y, 4*b - 24 = -0*b + 4*y. Solve -b*t = -t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u + 75*u. Sort 46, -4, u.\nAnswer: -4, u, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 - 2*l + 8. Let c = 1080 + -1082. Let t(g) = 5*g**3 - 3*g + 8. Calculate c*t(h) + 3*k(h).\nAnswer: 2*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 11}. What is prob of picking 2 b and 1 l?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619036107 to four decimal places.\nAnswer: 0.619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*m**6 - 2*m**4 - 315*m**2?\nAnswer: 1920*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 6 = 4*t - 7*t, -5*o = -5*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 749243354 to the power of 1\/3, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + l + 2*l - 3 + 3*l**4 + 2*l**2 - l**4 in the form j*l**3 + u*l + f + t*l**2 + p*l**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + 8*m - 1. Let k be v(7). Suppose -5*c = -2*a - 42, -3*c = -4*c + a + k. Solve 5*r = -5*j - c, 4*r - 5*j + 5 - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*s = -924*s + 2236*s - 52532 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 11:51 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r - 52. Suppose -35*z - 114 = -16*z. Suppose 43 = 3*d - 206. What is the remainder when d is divided by j(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/13)*j**(6\/7))\/(j**(-1))**37)\/(j*j\/(j\/(j\/(j*j**0)*j))*j\/j**(-3\/4))**(5\/3) assuming j is positive.\nAnswer: j**(11925\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 1\/4, -2, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, t: 7}. Give prob of sequence tmmm.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5141*r - 30855. Give a(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5923, -11827, -17731, -23635?\nAnswer: -29539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/1080 - r**5\/180 + r**3\/6 + 2*r**2. Let v(w) be the first derivative of m(w). Factor v(q).\nAnswer: q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z, 2*a - 4*z = -2*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 122*m**2 - 123*m**2 - 2*m. What is l(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 - 6*y + 8. Suppose 2*d = 3*d + 6. Let a be z(d). Are a and 8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 793 and 78572941.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91949, -183902, -275845, -367772, -459677, -551554?\nAnswer: -643397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-6 - -4) + (3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -15657, 2, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006761569047 rounded to seven decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -49*z**2 + 14*z - 7. Let c(s) = -48*s**2 + 14*s - 8. Let r(d) = 4*a(d) - 5*c(d). Calculate the remainder when 79 is divided by r(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62520 (base 14) to base 11.\nAnswer: 152068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59242 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:15 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 291*h**2 + 2. Suppose 12 - 46 = 17*q. Let y(c) = -6400*c**2 - 45. Let b(o) = q*y(o) - 45*g(o). Let u(j) = 2*j**2. Give u(b(k)).\nAnswer: 174050*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 625323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680679 is divided by 2799.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 18*v = 0. What is v?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143289823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334 divided by 4075.\nAnswer: 334\/4075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -331031 - 664529. Let a = 995527.00054 + o. Let d = 33 + a. What is d rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2039, 0, -42, 1, -4 in increasing order.\nAnswer: -42, -4, 0, 1, 2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -0.1. Let v = 0.22 - 0.12. Sort v, -0.1, z in descending order.\nAnswer: z, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1616440.3 to the nearest 100.\nAnswer: 1616400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3233 is divided by 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6650\/143 or 46?\nAnswer: 6650\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -11665320786421.\nAnswer: -11665320786416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/81, -0.2, -2\/17 in descending order.\nAnswer: 5\/81, -2\/17, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l - 3*x - 33, 4*x = 2*l - 10. Suppose -2*g - 26509 = -l*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 4*b**3 + 2*b**3)*(-26525*b + 26496*b - 12*b**2 + 0*b**2).\nAnswer: 24*b**5 + 58*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1364 - -1363.79. Let l = -8 - -9. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 - 3. Let z be u(3). Let s = 9 - z. Differentiate -2*t**3 + 0 + s + 0*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*n**2*v + g*n**2 - 84964*g*n + g*v - 37*n**2*v + 9*n*v + 41*v + 4 wrt g.\nAnswer: -2*n**2*v + n**2 - 84964*n + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:22 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-6)*2\/5. Which is the closest to 0.3? (a) y (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + (sqrt(99) + -1 + -1 + sqrt(99) - sqrt(99) - (sqrt(99) + 1 + 2))*6)*2)**2.\nAnswer: 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 4*t, 4*b + 3*t = 33 - 8. Suppose -2*k + v - 1 = 2*k, b*k + 3 = 3*v. Suppose 0 = 4*h - 16, -297 = -3*j - k*j + 3*h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u**(-8))\/(u\/(u*u**(4\/5)\/u*u*u)*u*u\/(u*u**8)))**27 assuming u is positive.\nAnswer: u**(918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*d - 82*d + 1 + 2*d**3 - d**4 + (2*d + 3*d + 2*d)*(0 - 4 + 2)*(2*d**3 + 3 - 3).\nAnswer: -29*d**4 + 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:41 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1 - (-7 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -5, -19, 1 in increasing order.\nAnswer: -19, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909509493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -319*d - 57. What is a(-1)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 5 (c) -155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -67e591 (base 15) to base 8\nAnswer: -22725640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 250*q**6\/3 - 120*q**5 - 440*q**4 + 2368*q**3\/3 - 480*q**2 + 128*q - 28. Factor f(x).\nAnswer: 4*(x - 2)*(x + 2)*(5*x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 6 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z = j + 57, -31 = 2*z + 3*j. Let b = z + 17. Suppose 0 = b*v - 4*v + 35. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 2, h: 9, w: 5, v: 2, i: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -18. What is the nearest to y in -2\/9, -1, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 7*o**6\/120 - 41*o**5\/40 + 95*o**4\/48 + 61*o**3\/6 + 15*o**2\/2 + 3057*o. Find l, given that h(l) = 0.\nAnswer: -1, -2\/7, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 5\/2)\/((1925\/(-22))\/(-35))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 13718370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -236, -360, -486, -614, -744?\n\"Answer: -a**2 - 119*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29835.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/5 + 808*s**4\/5 + 502*s**3 - 27772*s**2\/5 + 39072*s\/5 = 0 for s.\nAnswer: -8, 0, 2, 3, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 12\/(-3) + 8. Suppose -2*f = -3*r + 16661, -4*r + z*f + 6269 = -15939. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y + 6. What is the remainder when c(3) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1067 and -0.2.\nAnswer: 1066.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((2\/(-4))\/(8\/16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -3 + 3\/(-3). Let r = l + 0. Let o = r + 14. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -7, -2\/3, 0.1, -4.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let i = -0.21 + -0.01. Let f = i + -0.08. Which is the closest to l? (a) -3 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j**(-6))\/(j\/(j*j\/j**(-27\/2)))**(-16) assuming j is positive.\nAnswer: j**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -bb0064?\nAnswer: -bb0057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -64. Let y = m + 64. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 12*d**2 + 14*d + 16. List the prime factors of w(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25140218.66058 + 25139997. Let i = s + 222.15. Let v = 0.49 - i. What is v rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3067 - 2012. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 146242*1\/(-5)*-5. Suppose -1853719 = -5*w + 4*g + 387499, 5*g = w - 448252. Let a = w - d. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = 4*k + 6, -12 = -6*k - 2*l. Calculate the lowest common multiple of k and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*y + 5*y - 4 = 0, 0 = -s - 2*y + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 221488 + 303348 = -795730. Round d to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/7 + 12*r**4\/7 + 111*r**3\/7 - 120*r**2\/7 = 0. Calculate r.\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -433 or 1\/2?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 30. Let d be a(0). Let g(s) = -s**3 - 7*s**2 + 10*s - 6. Let h be g(-8). Let x = d + h. What is the smallest common multiple of x and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187307852 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: Solve 37*l + 295 - 453 - 112 = 507 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 11, 6, 2 in ascending order.\nAnswer: -5, 1, 2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2547001876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000063846 to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = a - 3*a, 0 = 5*s + 10. What is the remainder when 29 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5 + 2520654*u**4 + 794278866134*u**3 + 42089135107218*u**2 - 177887967483568*u + 181065123278664 = 0?\nAnswer: -630137, -57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5\/3 - 56630*w**4\/3 + 200080568*w**3\/3 + 2507480762*w**2\/3 + 2810704520*w + 1204733400 = 0 for w.\nAnswer: -6, -1\/2, 7085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -8*r + 15. Suppose 2*f - 4*s - 11 = 11, -4*s + 23 = f. Calculate the highest common divisor of r and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*m + 478 = 0, 974 = 4*b - 2*m - 3*m. Let d(l) = l**3 + 11*l**2 - 29*l - 28. What is the remainder when b is divided by d(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 9.5 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -64*h + 63*h. Let c = 58 + h. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990336 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/9 - -1)*-3. Suppose -3*l + 125 = h*l. Suppose 6*o - 111 = -27. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*g + 2, g - 2 = -0*g - y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = 3*d - 4*d. Let x = -97 - d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 a factor of 201516810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/40 - 5*q**4\/8 - 39*q**3\/4 - 189*q**2\/4 + 5*q + 13. Let h(s) = 0. What is s?\nAnswer: -3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1864232 divided by 199\nAnswer: 9368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50145 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:50 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -543140*q. Let w(b) = -2*b. What is v(w(z))?\nAnswer: 1086280*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-5)*13\/((-156)\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 54 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 2*n + 12. Let p be -3*(1 - (-32)\/(-12)). Let b be u(p). Solve -2*w + 7*w - 5 = 5*s, -b*s - 5 = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 - -61. What is the thousands digit of p\/5 + 35*32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2991 + -288131\/5982. Let k = -155\/3 - y. Let n be (6 - 20\/6)\/((-4)\/6). Are n and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 2*t - 7. Calculate c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 47.\nAnswer: -322\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3186 - 3185.99985244. Round r to 6 decimal places.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 379796174 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-105))\/((4\/21)\/(-4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 122239198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20990 = 2*g + 2*t, 11*g - 2*t + 31490 = 14*g. Is 70 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:23 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - -210. Suppose -3*f = -4*h + 44, 5*h - f = -4*f + 55. Solve -t - h = 4*a - n*t, 3*a = 4*t + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzxzxxxx. What is prob of picking 2 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h - h - 3*p, p = 4*h - 7. Suppose -h*x = 53 - 251. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 546.9 and 5.8.\nAnswer: 552.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 1. Let m(p) = 13*p**2 - 4. What is -m(u) + 6*q(u)?\nAnswer: -7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6792, 6805, 6820, 6837, 6856, 6877, 6900?\n\"Answer: r**2 + 10*r + 6781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vss when three letters picked without replacement from {n: 4, x: 1, s: 3, v: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 b, and 1 g when four letters picked without replacement from wnbbwwbgbhn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63803333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -450 + 455. Which is the nearest to -2? (a) -3 (b) t (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/20)\/(-8) + 80\/(-25) - -3. Solve 3*t - 3*o + 60 - 48 = 0, -o + 2 = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 3*q**2)*(2*q**2 - 2*q**3 - 2*q**2) - 5*q**2 + q**3 + 3*q**5 + 5*q**2 + 2*q**2 + 2*q**5 - 2*q**2.\nAnswer: 11*q**5 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:18 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/20683 + 661632\/144781. Let -10\/7*t - 36\/7*t**3 + 0 + v*t**2 - 2\/7*t**5 + 16\/7*t**4 = 0. Calculate t.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15)*(-2)\/(-2). Let i = -31 + 30.36. Let q = 1.14 + i. Which is the nearest to 1\/2? (a) r (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let j(u) = -2*u - 58458. What is j(l(f))?\nAnswer: 2*f - 58458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 13125 = -5*k - 13133, 5*k + 32 = 4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304398744 to the power of 1\/2, to the nearest integer?\nAnswer: 17447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 4*b + 15*u - 50, 2*b - 19 = u. Let w(c) be the first derivative of c**4\/4 - 4*c**3 + 7*c**2 - 19*c + 2. Is 14 a factor of w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b48a - 19?\nAnswer: 1b471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -249 - 51. Solve -19*c + h = -22*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p**2 - p - 2. Suppose -6*x + 20 = -x. Suppose 0 = -c + x, -3*b + 111 - 16 = -4*c. What is the remainder when b is divided by r(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*t + 236*t**2 + 55*t)*(-t - t + 4*t)*(0 + 4*t + 0) as c + j*t**2 + z*t + n*t**3 + y*t**4 and give y.\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2 + n. Let h be x(1). Let u = 1 + -1. Let o(q) = -q**2 - 5*q - 4. Let v be o(-5). Put h, u, v in increasing order.\nAnswer: v, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4114475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 q, and 1 o when four letters picked without replacement from {q: 3, w: 5, o: 1, l: 9}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i + 0*i)*(-1 - 2*i + 1) + 507*i + 26*i**2 - 507*i + (-5*i**2 + 2*i**2 + i**2)*(4 - 4 - 2) + 7 - i**2 + 13 - 15.\nAnswer: 21*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/105)\/(10\/(-15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 4}. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34900 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + l**2 + l**2)*(18 - 2 + 9) + 61*l + 22*l**2 - 61*l.\nAnswer: 197*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**2 - 6*h + 26. List the prime factors of p(5).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137295916 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttffft. Give prob of sequence ttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 2377?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14044 or 14049?\nAnswer: 14049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:39 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4 + -1 + 5. Sort -2, 20, u in ascending order.\nAnswer: -2, u, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*((s\/s**(2\/13))\/s)\/s*s*s**(-2\/55)\/(s*s\/s**(9\/2)))**(3\/11) assuming s is positive.\nAnswer: s**(52203\/110110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8276 and 0.5.\nAnswer: -0.4138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -27. Suppose 0 = -k + 7 - j. What are the prime factors of (1113\/35)\/(k\/15)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320)*-6)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwmwmgkww. Give prob of sequence kwg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53736.9 (b) 27 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/64 - 619\/5312. Let n be 1\/(-3)*(2 + -3). Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21023 - -231260\/11. What is the common denominator of m and -151\/1656?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -501, -551, -603, -657, -713, -771?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*3)*5 - sqrt(119)*1*5)\/((sqrt(336)*1)\/(sqrt(24)\/sqrt(32))).\nAnswer: 15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f**17*f)\/f))**(-2\/151)*(f*f**(1\/44))**(-10\/9))**(-19\/2) assuming f is positive.\nAnswer: f**(59185\/6644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*k + 184, -4*k = -5*r - 228 - 7. Differentiate 10*p**2 - 14*p**2 - p - 5 - k*p**4 + 4*p**2 with respect to p.\nAnswer: -240*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 22*q**3 + q + 1. Let u be h(-1). Let x(d) = -83*d - 153. Let c(t) = 26*t + 51. Let y(n) = -10*c(n) - 3*x(n). Is y(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 5*q + 20*q**2 - 13*q**2.\nAnswer: 7*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*v - 10, 5*v - 2*z + 95 = 60 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 - (3 - 9) - (-69 - -14).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3.8. Let a = -6.953 - -2.953. What is the smallest value in -0.5, c, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -88*j. Let q(o) = -o + 15544043 - 15544035 - 4*o. Determine q(u(g)).\nAnswer: 440*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 8) to base 12.\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/10)\/(24\/15 - 2). What is the least common multiple of 8 and (-348)\/(-15) + 5\/(-25) + k?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -18*q**3 - 13*q**2\/2 - 39*q + 12. Let f(p) be the first derivative of m(p). Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10287871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 2624052?\nAnswer: 262403a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1590704947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26329160 divided by 101266.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (518\/(-370))\/(3\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1932 - 1930. Let a(k) = -k**2 + 1. Let n(c) = 4*c**2 - 2*c - 3. Let x(v) = 3*a(v) + n(v). Calculate x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 4.8, 4, 0.1, 3\/4 in decreasing order.\nAnswer: 4.8, 4, 3\/4, 0.1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11044 is divided by 553.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 4355*n**2 + 51540*n.\nAnswer: 5*n*(n - 859)*(n - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**10\/30240 + y**9\/15120 - y**8\/6720 - y**7\/2520 + y**4\/6 - y. Let x(s) be the third derivative of z(s). Factor x(n).\nAnswer: n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 5. Let l(m) = -14*m + 12. Let f be l(4). Let a be f\/(-3)*((-33)\/(-6) + -1). Calculate the highest common factor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - -112. Suppose -3*l = -y - 2. What is the highest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2432\/(-1881) + 0 + 8\/44. Is -1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148505821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103186849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -2*s, -5*f = 4*s - 1. Let j(l) = 4*l + 58 - 17 + l - 18 - 22. Determine j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0*o**2 + o**2 + (141 + 6 + 23)*(-6*o**2 + o**2 + 2*o**2).\nAnswer: -508*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3 + -3 - -3) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h - 35*h + 0*u + 11 = -76*h + u, -9*h + 21 = -12*h + 3*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 (base 4) in base 10?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3)**2 + 2*sqrt(243) - (sqrt(1728)*-1)**2*2.\nAnswer: -3255 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x + 3*q + 24 - 7 = -81*x, -3*x - 7*q - 100 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189106045 a multiple of 6776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 4:54 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a factor of 18254808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25202532 (base 8) to base 15\nAnswer: -750e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(200) + 0 - ((sqrt(200) + -4)**2 + 3)) + 1)*3.\nAnswer: -657 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/(-16) - 6)*-18. Calculate the highest common divisor of o and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67.8 + 3.7. Let q = 71 - k. What is the second smallest value in -5, -2\/3, 0, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1228361606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6 + 9*d - 3 - 3*d + d**2. Let y be l(-6). Solve y*n + 21 = -3*g, -16 = 4*g - g + 2*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 13. What is v(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/3 + 3*d**2\/2 - 3*d. Suppose -31 = -2*s + 5*t, -16 = -0*s + 3*s + 5*t. List the prime factors of l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 62?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 98 - 94. Let x be (-1 - -1 - -1)*-13. Find the common denominator of 67\/m*x\/(-117) and -63\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1838 by -2.\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 3*j**2 + 3*j**2)*(3*j + j - 3*j)*(39 - 24 - 64) - 45*j**2 + 18*j**4 + 45*j**2.\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) 4 (b) 0.02 (c) -4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71582 or -71584?\nAnswer: -71584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -590*q**3 + 289*q**3 - 1 + 300*q**3. Let c(k) = k**2. Let h(p) = -6*p**3 - 10*p**2 - 4. Let f(o) = 10*c(o) + h(o). What is 14*b(z) - 3*f(z)?\nAnswer: 4*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 9*z + 12. Let m be k(-10). Let a(l) = -l**2 - 1448 - m*l + 1446 + 6*l. Let p = 32 + -28. Determine a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-66)\/(-18) + -2) - 20\/15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*j - 428, 5*j - 95 + 355 = 2*k. Suppose k = z + 4*z. Suppose -b = -5*v + 77, 5*v + z = -5*b + 93. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 + 8*k - 4. Let m be c(7). Let t(a) be the second derivative of -1\/3*a**m - a**2 + 4*a + 0. What is t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(288) + 0 + sqrt(288) + sqrt(288) - (2 + -6*sqrt(288)).\nAnswer: -2 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17787\/462*32\/56?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72664568 or 72664567?\nAnswer: 72664567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 388680.9g?\nAnswer: 0.3886809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2363837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(90)\/sqrt(5) + -1 + sqrt(18) + -3 - 2*(1 + sqrt(1458))*3))**2.\nAnswer: 11232*sqrt(2) + 195012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1442 and 14420.\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8998 + -4101. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*h + 239*h - 1284 + 7395. What is the remainder when h is divided by 111?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:25 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2364)\/32308)\/(3\/2)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times -0.11\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/105 and 83\/50?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3 = -b, 4*c - 4*b = 2 + 2. Let h be (c - 1) + -1 + 2. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-221)\/238)\/(26\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/60 + 6*g**2. Let s(r) = -2*r**3 - r**2. Determine 2*f(i) - s(i).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 p when four letters picked without replacement from {p: 1, i: 5, b: 4, m: 8}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -89046 (base 11) to base 9\nAnswer: -216147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Let z = 0.056 - -0.444. What is the nearest to -0.2 in z, 3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 21*b - 4. What is the closest to -5 in b, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*a + 57, -3*a = -0*a + 2*y + 36. Let p = 24 + a. Let c be (4\/p)\/(4\/20). Solve 0 = -c*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1*2\/(-6)). Let c(t) = 0*t**3 + t**b - 3*t**2 - 3 + t - 5*t**2. Let g be c(8). Solve 0 = -g*p + 2 - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(7))*-5*6)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(63) + 0)*-2)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + 2*n - 5. Calculate w(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10142 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqggqggb. What is prob of picking 1 b and 1 g?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4 and (-8)\/6*(-141)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071806548 - 0.00495?\nAnswer: -0.0121306548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 438. Calculate u(31).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -1. What is the remainder when 22 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 3*l**5 - 2*l**5 + (-282 - 10*l**4 + 282)*(-2*l + 2*l - 2*l).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 14. Let j be i(7). Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9512 and 43.\nAnswer: 409016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - 3*b. Let x be s(4). Suppose 1 = u, x*u + 3 = -n + 11. Solve 0 = -4*i - n - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2029 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfof when four letters picked without replacement from {t: 2, f: 3, n: 1, j: 6, o: 1}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 + 1. Let i be q(1). Suppose -27 = 4*w - 83. Suppose -4*b - 4*x = b - w, -i = b + 3*x. Is b greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 - 10\/3*r**3 - 7*r + 12*r**2 + 1\/3*r**4. Solve u(o) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11092, -21787, -32482, -43177, -53872, -64567?\n\"Answer: -10695*k - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -238*u**2 - 190*u. Let g(q) = -q. What is t(g(w))?\nAnswer: -238*w**2 + 190*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 109*a**2 + 90*a - 3. Let x(v) = 165*v**2 + 126*v - 5. Let p(l) = -5*x(l) + 7*y(l). Let i(z) = -3*z**2. Calculate p(i(r)).\nAnswer: -558*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 - 2*m - 32. Let x be u(6). Suppose 2*h - 19 = 23. Suppose 0 = x*v - h*v - 847. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 - -23 - -4*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 60. Suppose 3*s + 34 = 2*i - 2, -5*i - 4*s = -90. What is the remainder when 3*((-304)\/(-12) + a) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - -1) + (-1046 - -1023).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-25)*f\/((f**(1\/13)*f)\/f)*f assuming f is positive.\nAnswer: f**(363\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1083.\nAnswer: -108.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**4 - 4*v**3 + 4*v + 3. Let x(y) = 4*y**4 - 3*y**3 + 3*y + 4. Let b(r) = 3*q(r) - 4*x(r). What is the first derivative of b(k) wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143432 (base 6) to base 7.\nAnswer: -55103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 690*t**2 + 1371*t - 684.\nAnswer: 3*(t - 228)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiwiiwwwwiwi. What is prob of sequence www?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -23. List the prime factors of (18\/(-5) - v)*60.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*w**6 + w**5 + 1073*w**2 + 4?\nAnswer: -17640*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpfjpf. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (11 + -7 + (4 - -12) + -29).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 16, 26*u - 11 = 29*u + 5*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 7*k + 10. Let c be v(-8). Let w = -12 + 12.2. What is the biggest value in 1, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -356? (a) -11\/2 (b) -7 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1118*n + 1135*n - 29240. What is the highest common factor of n and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 173997982*h - 347995956 = 0. Calculate h.\nAnswer: 2, 86998989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 200820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.0952ng to grams.\nAnswer: 0.0000005880952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*q**3 + 149\/2*q**2 + 0*q.\nAnswer: -q**2*(q - 149)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffpfffpffpffpfffff. What is prob of picking 1 p and 3 f?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -98*q - 11. Let a be w(-5). Suppose -12*u = a - 1847. What is the greatest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 31*r + 10 = 0. Solve -4*t = r*a - 7*a + 18, -5*a = 2*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2972050 + 544073 = -311*a. What is the highest common factor of 422 and a?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -98 (b) 3 (c) -568 (d) 1 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**2 - 16 - 17 + 2*u + 35*u**2 + 26*u**2 wrt u?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -4. Suppose -15 = k*l, 0 = -4*i + 2*l + 116 + 110. Suppose -34*j + 8386 = 7434. Calculate the remainder when i is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 233\/3. Which is smaller: f or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17341, -69416, -156243, -277822, -434153, -625236?\nAnswer: -851071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1766, -3518, -5254, -6974, -8678, -10366?\n\"Answer: 8*x**2 - 1776*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 25 + (17 - (9 + 26)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13*78.54\nAnswer: 1021.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/168)\/((-14)\/(-21))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/8 of a week?\nAnswer: 64260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1*15)\/(555\/(-370)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -2\/31 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-11*y**2 + 7*y**2 - 12*y**2 + (5*y - 3*y - 3*y)*(-y + 3*y - 3*y) - 3*y**2 + y**2 + 0*y**2 - 2*y - 2*y**2 + 2*y).\nAnswer: 38*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1) + 1\/(-2)*-10. Suppose -2*t - 60848 = 5*j, 2*j + 9*t - u*t = -24356. What are the prime factors of (2\/3)\/((-48)\/j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 1102, 1183, 1328, 1555, 1882?\nAnswer: 2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33551*j**2 + 277*j**2 - 25518*j**2.\nAnswer: -58792*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3) - 0)*(5 - -4). Let t(y) = -8*y + 95. Let k be t(12). Which is the nearest to -4? (a) d (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 171 + 160 = 3*z, 76 - 84 = -2*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 2*s - 16. What is d(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124550 divided by -62275?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 + 108. Let q be -4*5\/t*-10. Let g = 0 - q. Solve 3*h + 3*f + 2*f - 4 = 0, -g*f + 2 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55158000 to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -61 (c) 0.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2146 - 531*h**2 + 530*h**2 - 5664 to the form y + z*h**2 + s*h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 3*a)*(-4*a + 3*a + 3*a) - 5*a**2 - 23*a**2 + a**2 + 1 + 143*a**2 - 135*a**2 - 2.\nAnswer: -21*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 5*k + 4. Let y(t) = t**2 - t + 1. Let n = 1 - -2. Suppose 8*i = n*i - 25. Determine i*y(u) + x(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169 + -99. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, 1.2, 16 in ascending order.\nAnswer: 1.2, 16, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:14 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 62*c**2 + 12151505 - 12151504 - c to the form b + p*c + u*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*d = -6*u + 225, -4*d - 16 = 0. Let f = 289 - 215. Let c = f - u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76145.64 nanometers to centimeters.\nAnswer: 0.007614564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8799.317ml?\nAnswer: 8.799317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 g when four letters picked without replacement from {s: 7, q: 1, g: 3, f: 1, u: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20219 + -20219.5. Let n(y) = -14*y**2 + y. Let j be n(-4). Let l = j + 1602\/7. Which is the second smallest value? (a) l (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2. Let f(b) be the first derivative of -b**4\/24 + b**2\/2 + 2. Let x(j) be the second derivative of f(j). What is y(x(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6566*p**3 + 1132868*p**2 - 1132868*p**2.\nAnswer: 6566*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 290. Let c = t - 122. Which is greater: c or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (10 + 1 - 7 - 5 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (491*v - 907*v + 687*v + (1 - 4 + 2)*(2*v + v - v))*(-3*v + 2*v - 4*v) to the form r + l*v + c*v**2 and give c.\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71017869.\nAnswer: 3, 13, 31, 58741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**28)**35\/(c\/(c*c**(-3))*c**(2\/5)\/c*(c**(-2\/7))**(-7\/4)) assuming c is positive.\nAnswer: c**(9771\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.822 >= -5959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-39) - (-117690)\/78. Suppose -10*v + u = -4651. What is the second derivative of -v*w**2 + 39*w + 300*w**2 + 288*w**2 wrt w?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46 - -4891 - (8 - -2)?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, x: 7, b: 4}. Give prob of sequence xa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45373\/55 + 4119\/5. What is the common denominator of 173\/810 and q?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 145 - v - 141 + 0*v. Let l = -1 + 3. Let t be -1 - (2 + (l - 0)). Give m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -514250855017.\nAnswer: -514250855016.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-126)*(-3619)\/94. Let c(d) be the first derivative of 7\/20*d**5 - 1\/8*d**6 - 2 + 0*d**2 + d + 3\/16*d**4 - u*d**3. Solve c(q) = 0 for q.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 - -319. What are the prime factors of r?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34615008 divided by -131616\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1067196 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d. Let n(o) be the third derivative of 0*o + 0 - 1\/24*o**4 - o**3 + 6*o**2. Determine n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:38 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1190 and 357?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-4 - 2) + (4 - 112). Are -8 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 721*r**2 - 1166*r**2 - 610*r**2 to i + h*r**2 + v*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1170*o**5 - 26*o**4 - 115164*o.\nAnswer: 23400*o**3 - 312*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 652 + -618 - (129 - 0)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(155*c + 12 - 10 - 40*c**2 + 39*c**2) to the form g + z*c + q*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 9*m**2 + 12*m + 25. Let k be u(-10). Put k, 2, 10 in increasing order.\nAnswer: 2, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 2605, 5805, 10317, 16159, 23349, 31905, 41845?\nAnswer: 53187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1413\/4 - -7077\/20. Which is the nearest to 1? (a) -35 (b) l (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 0. Let t = -13784 + 510013\/37. Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*q - 130 = 0, 2*q - 3*q + 32 = -8*r + 12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from sqqqqqqsq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i = 108 + 984 + 492 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 0.2. Let r = -0.12 - j. Let s(d) = 3*d**2 - 1. Let h be s(-1). Which is the nearest to 0? (a) h (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*r**4 - 2\/5*r + 2*r**2 - 14\/5*r**3 + 0 = 0 for r.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -6*h + 7, -3755*s = -5*h - 3758*s + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctttttidic. Give prob of picking 2 t and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*m**2 - 1\/3*m - 1\/3*m**3.\nAnswer: -m*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:22 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244909061, 244909060, 244909059, 244909058, 244909057?\nAnswer: 244909056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -20, -17, -2, 31, 88, 175, 298?\n\"Answer: b**3 - 3*b**2 - b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 - 3. Let f = h + 7. Let z be 2\/5 + (3 - f). Is z at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + k + 3. Let m(c) = -23*c**2 - 4*c - 177. Calculate 3*a(j) + m(j).\nAnswer: -5*j**2 - j - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70510, 70513, 70516, 70519, 70522, 70525?\n\"Answer: 3*v + 70507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffh when four letters picked without replacement from {h: 6, z: 3, f: 3, p: 1, m: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)*(0 - 1). Suppose 20 = t - c*t. Suppose -t = -3*z + z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*x = -14, 2*t + 0 - 4 = 2*x. Let r be (-35)\/(-98)*(-12)\/(-10). Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**3\/3 + 9. Let b = 8 - 5. Let y(v) = b - v - 3. Determine k(y(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -370*t + 7032. Let v be j(19). Factor 0*x + 0 + x**4 - 3\/2*x**3 - x**v.\nAnswer: x**2*(x - 2)*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = -2*m, -m = 2026*b - 2029*b - 7. Let p = 4 - 1. Suppose -3*s - p = 3. Are s and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4621\/30 - 154. Let v = g + 1363\/60. Find the common denominator of ((-3)\/(-6))\/(5\/(-81)) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*i**3*o*x + 2*i**3 - 175*i**2*x - 62*i*o + 8323*i - 5011*o*x - 39*o wrt x.\nAnswer: 67*i**3*o - 175*i**2 - 5011*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 5)\/(2*1\/(-1)). Let a(m) be the second derivative of i*m**3 - 1\/6*m**4 + 0*m**2 + 0 - 2*m. Find the second derivative of a(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1441, 11654, 39371, 93340, 182309, 315026?\nAnswer: 500239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 55*y**2 + 26*y**2 + 7*y**2 + 11 + 11 + y**3. Let v be n(22). What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 - 80 - (39 + -23)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -641, -1277, -1913, -2549, -3185?\n\"Answer: -636*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125834 and -6.3.\nAnswer: -125840.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 238600, 954458, 2147554, 3817888, 5965460, 8590270, 11692318?\n\"Answer: 238619*r**2 + r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422 (base 14) to base 5.\nAnswer: -11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/63*14\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57904.99cm in meters?\nAnswer: 579.0499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*b + 12, -3*b - 4*s + 12 = -8*b. Suppose 2*l - l = b. Let x(m) = m + 16. Let o be x(l). Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 21. Let t be j(0). Suppose -5 = 22*z - t*z. Let r be (z\/((-15)\/(-9)))\/((-1)\/9). Calculate the highest common divisor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 = -4*x, 5*q = 5*x - 19 - 11. Let k be (28\/21)\/(x\/(-6)). Sort 2, 1, 50, k in descending order.\nAnswer: 50, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132.59 and 110074677.\nAnswer: 110074809.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17609)\/41790 - (36 + 6375\/(-175)) and -55\/2388.\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207 + -199. Suppose -4*p - p + 3*n + 73 = 0, 0 = 4*p - n - 57. What is the least common multiple of p and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - i + 2 + 1, -5*i = -o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001221102220 (base 3) to base 7.\nAnswer: -63332235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2 + 7*t + 7. Let j(s) = -17*s**2 - 6*s - 6. What is 7*j(k) + 6*o(k)?\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10*k - 7. Let f be w(-8). Let n be (92\/8)\/(3\/18). Suppose -n = -2*b - f. What is the highest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772330461 a multiple of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -25953, 38.\nAnswer: -25953, 28, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 38*x + 2530. Let h be z(112). Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10850533.\nAnswer: 10850533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:12 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 17*z**2 + 23*z - 17. Let y be -13 + 12 + 38\/2. Is q(y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:55 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3988 by -3.\nAnswer: -3988\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-12))\/(-5)*(-196)\/(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-3) + (-3)\/(-9). Let m(c) = c + c + f*c. Let g(l) be the third derivative of l**5\/30 + 822*l**2. Give g(m(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144618344 a multiple of 9094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1083*r**3 + 696*r**2 + 1.\nAnswer: -6498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let i(d) = d**3 - d + 1. Let w be i(1). Let y = w + -1. Let u(g) = 0*g - g + y*g. Give n(u(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67.058 + 67. What is c rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 2*d + 3*d + d + d - 3*d + (-5 + 2 + 2)*(-3 + 3 + d) + 2*d + 4 - 4 + 2*d + d - d + 2*d - d - 4*d + (744 + 550 + 126)*(-3*d - 2*d + 7*d).\nAnswer: 2841*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y)\/y*y*y\/(y*y**0)*y)\/(((((y**(1\/10)*y)\/y*y)\/y*y)\/y)\/(y\/y**(2\/3))) assuming y is positive.\nAnswer: y**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 1050 + 2*o + 1050. Let n(v) = -v**2 - 6*v**2 + v**2. Give f(n(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (8 - 0 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 598\/(-4) + 4 + -4. Let k = 629\/4 + q. Calculate the common denominator of 97\/40 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 7 + 29)*(-t + 2*t - 3*t + (-3 + 2 + 0)*(3*t + t - 3*t) + t - 15*t - 5*t) to l*t + o and give l.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from kywwyyuyyyuyyykaybba?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 28*h**3 - 120 - 2*h**4 + 95*h + 50*h**2 - 12*h**2 - 87*h - 120*h = 0?\nAnswer: -2, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/4597 - 105699\/73552. What is the common denominator of m and 145\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 166 = 56. Let p = 331\/3 + i. Factor 4\/3 - o**3 - p*o**2 + 4*o.\nAnswer: -(o - 2)*(o + 2)*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1284, -1316, -1360, -1416?\n\"Answer: -6*o**2 - 14*o - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 678810 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 63 = -4*r, -9 = -n + 4*n. Let c = r + -6. Is (-2)\/c + (-212)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*y - 865, 5*v - 3*y - 865 = 2*y. Suppose 4*u = d + v, -12*u + 16*u - 188 = 4*d. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:37 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.6736l in millilitres?\nAnswer: 79673.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -2 (c) -19324\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17535, 42653, 67771?\nAnswer: 92889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from {p: 3, y: 1, q: 3, a: 1, i: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(-2\/17)*s**9*s**(-6\/7) assuming s is positive.\nAnswer: s**(983\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841 = -22*q + 1951 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7047, -28196, -63447, -112800?\n\"Answer: -7051*h**2 + 4*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2.68, 28398, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/6532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6246, 1, -7 in decreasing order.\nAnswer: 6246, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.259 + -111.259. Let x = a - -170. Let b = 58.99951 - x. Round b to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - 2 - (25 + -31))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 8. Is f(11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6260377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-9))\/((-2)\/4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/75 + -44\/75. Which is the closest to -6? (a) h (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-2)\/(3*sqrt(60)\/sqrt(5)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40635 and 83894265?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + 9*l - 58. Let w be x(5). What is the first derivative of 30*m**4 - w*m**4 + 37*m**4 + 38*m**4 + 34*m**4 - 45*m**3 - 55 wrt m?\nAnswer: 8*m**3 - 135*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 3. Suppose 5*s - 3*h - 5 = 0, 0*s - 2*h = 2*s - 18. Let r be (16\/(-10))\/(s\/(-10)). Calculate the remainder when 19 is divided by m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139625295, -279250593, -418875891, -558501189, -698126487?\n\"Answer: -139625298*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**9\/168 - u**5\/6 + u**2 + 7. Let a(c) be the second derivative of v(c). Find the third derivative of a(h) wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -212, -292, -370, -446?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245046.\nAnswer: 2, 3, 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343426, -686854, -1030282, -1373710, -1717138?\nAnswer: -2060566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2336, 9334, 20996, 37322, 58312, 83966, 114284?\nAnswer: 149266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(468) - (sqrt(468) + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -30, -3, 46, 123?\n\"Answer: q**3 + 2*q**2 - 2*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -301*v + 414 wrt v.\nAnswer: -301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 + 503 = 8*x. Is ((-17002)\/7)\/((-48)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -w + 4*w - 14, 14 = 4*w + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1206625688 divided by -4\nAnswer: 301656422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515415 is divided by 1285?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 331231201?\nAnswer: -331231013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -5.9052954882007.\nAnswer: -8.9052954882007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26543491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*d**3 + 210*d**3 + 194*d**3 - 1229*d**3 + 194*d**3 + 210*d**3 + 200*d**3.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 + 3. Let c be y(4). Let p be (2 - 1) + -2 + 112. Suppose p = c*g - 0*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 848082 or 848081?\nAnswer: 848081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*g - 165125 = -2296772. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 9*m**2 + 8*m - 9. Let r be s(-8). Let c be (r\/12)\/(4\/(-16)). Solve 3 = c*i - 2*o, -2*o = 5*i - 3*o - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -464356 (base 7) to base 12\nAnswer: -4018a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 - 2. Let x be ((-9)\/6)\/(h\/6). What is the third derivative of 6*z**4 + x*z**2 + 0*z**2 + 6*z**2 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(13) - (1 + sqrt(52)\/sqrt(4)))*1)**2 - (5 + sqrt(13) + sqrt(39)\/sqrt(3) + -4 + 5)**2) + 2.\nAnswer: -24*sqrt(13) - 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 482 = 8*w. Let h = 45 - w. Put h, 5, 12 in descending order.\nAnswer: 12, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 22. Let o = 82 - 122. Let n = -32 - o. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.25 and 224?\nAnswer: 223.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 65. Suppose -o - n = 4*o. Let t = o - -29. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1031.\nAnswer: 206.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 536080952 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12326905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 356*p. Let j(h) = -41*h**2 - 16*h. Let t(v) = -97*v**2 - 38*v. Let c(i) = -19*j(i) + 8*t(i). What is c(q(l))?\nAnswer: 380208*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and 0.7.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 20 = -5*u - 5*v, 0 = -3*v + 15. Suppose 5*w - 532 + 32 = 0. Suppose -3*s - w = -94. Sort s, 0, u in decreasing order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 250 = 365. What is the remainder when m is divided by 75?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -104\/1245 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1792*c**3 + 507*c - 1 wrt c.\nAnswer: -10752*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-120*y**2 - y + 89*y**2 - 3*y**3 + 2 + 2*y)*(4 - 2 - 4) to p*y**2 + j*y + t*y**3 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 12. Let d(i) be the third derivative of -i**4\/24 + 5*i**3\/6 - 2*i**2. Let s be d(a). Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1974b (base 12) to base 10\nAnswer: 37355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 189*p + 15. Let n(b) = -6*b - 13. Let y be n(-4). Suppose 12*c - 4 = y*c. Is j(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532.5088 rounded to the nearest 10?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/2 + o**3\/3 - 3*o**2 + 6*o - 9. List the prime factors of d(3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Suppose k + g*k - 1 = 0. Suppose -2*t = 2*t - 8. Sort 4, t, k in increasing order.\nAnswer: k, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 - 5*t**2 - 4*t - 9. Let j(y) = y**3 - y**2 - 2. Suppose 234*m - 232*m = -2. Let v(x) = m*n(x) + 2*j(x). Determine v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121740612*g**5*m + 6*g**5 + 28*g**2*m + 154*g*m - 3*g + 1877*m wrt g.\nAnswer: -7304436720*g**2*m + 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 144 = -v + 2*s, 560 = 3*v + 2*s. Is 40 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:29 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 52286*a**2. Let x(k) = -k**2. Give x(o(z)).\nAnswer: -2733825796*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 56, 78, 94, 98, 84?\n\"Answer: -c**3 + 6*c**2 + 11*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -15. Suppose 0 = 4*w, -5 = 3*z + 3*w - 17. Sort -3, z, 2, g in descending order.\nAnswer: z, 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927\/4 + -232685\/1004. Sort -4, x, -0.4, 0 in ascending order.\nAnswer: -4, -0.4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 591542 and 15841?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.40223 nanometers to millimeters.\nAnswer: 0.00009240223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/3 + 29*n**3\/6 + 2*n**2 - 39*n. Let i be t(9). Which is greater: -60 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34398)\/9555*280\/18.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1246.3 and 4558.\nAnswer: 3311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 333350 divided by -5650?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*u + 119*u = -2*r + 12, -3*r + 3*u = 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 246\/(-2) + -9 + 3 + -1. What is the second biggest value in -3, 4\/5, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 + 7*m**2 + 19. Let g(d) = -2*d**3 + d**2 + d. Let r(i) = -2*g(i) + l(i). Give r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17456 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 12*h - 5. Let p(g) = 17*g - 20. What is the remainder when b(-8) is divided by p(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z)\/(z\/z**4*z)*(z**(-1\/2))**(-9\/7)*((z\/((z*z\/(z\/(z*(z*z**7\/z*z)\/z*z*z))*z)\/z))\/z*z**(-7)\/z)**(2\/43) assuming z is positive.\nAnswer: z**(-3155\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250) + sqrt(250) + (1*sqrt(250) - sqrt(250)) + sqrt(250))\/((sqrt(14)*1)\/sqrt(7)).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 - 47*t + 15. Let m(y) = 9*y**2 + 46*y - 15. Calculate -7*a(p) - 8*m(p).\nAnswer: -2*p**2 - 39*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33567 and 193563.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3\/9 + 107*r**2\/18 - 88*r\/3 + 5908. What is p in o(p) = 0?\nAnswer: 8\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 8 = 3*g - 5, 3*h = -5*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7915*a**3 - 3*a**2 + 841 wrt a.\nAnswer: 47490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4 + 15*p**3 + 15*p**2 - 15*p - 18 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - (1 + (2 + sqrt(11) + sqrt(11))**2) - (sqrt(396) - 4*sqrt(396))**2) + ((sqrt(1331) + -2 - sqrt(1331)) + -3 + 3)**2.\nAnswer: -3604 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 - 2*m**2 + 2*m + 6. Let k be a(-4). Let n = 226 + k. Solve n = -b - 4*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z + 1. Let m be ((-10)\/20)\/((-2)\/8). Calculate v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.3, -1, 92, 6.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 330, 334, 342, 354, 370?\n\"Answer: 2*x**2 - 2*x + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5241 - -5291. Solve -4*r - 51*y = -k*y - 13, -r - 2*y + 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 3}. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, w: 1, m: 1, q: 4, b: 2, y: 4}. What is prob of picking 1 m, 1 w, and 1 q?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 - -61371?\nAnswer: 61442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 1) + -5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06011136885 rounded to 4 dps?\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21000 or 28970?\nAnswer: 28970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8364 divided by 2788?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 652589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 - 764*c**3 - 12403*c**2 - 59962*c - 76440 = 0.\nAnswer: -7, -2, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 12:49 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1994454.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let o = -16 - -18. What is the nearest to o in l, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438698 less than or equal to 1438688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29669*m**2 + 284*m - 7 wrt m?\nAnswer: -59338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (58 + -16 - 56) + -39\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5909156\nAnswer: 5909152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 314\/(-4). Suppose 0*o - n = -o. Suppose 0 = -3*d - 303 + 363. What is the remainder when o is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/18)\/((-984)\/(-36)). Let h(g) = -g**2 - g + 1. Let k be h(1). Does k = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 3. Let v(z) = 49*z + 35. Let u(b) = 35*s(b) - 3*v(b). Let i(p) = -5*p. Let n(r) = 4*r. Let q(g) = -5*i(g) - 6*n(g). Give q(u(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202 (base 3) in base 8?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let v = -1 + 1. Suppose -w - r*w - 12 = v. Which is the second smallest value? (a) w (b) 1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y + 1. Suppose -5*k + 3*w + 4 = 24, 0 = -3*k - 4*w + 17. Let t be x(k). Suppose t = -2*l + 6*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (-2 - 5 - -6) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = -3*j, 3*j = -4*r + 4 + 2. Solve -15*v + v = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -90*h**3 - 7*h - 8. What is z(-1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 282151090 divided by 2170393?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:45 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -s, -7*s + 3*s = -5*m. Suppose m = -w + 6. Let o(f) = 15*f**2 + 4*f. Suppose 0 = -6*b + 4*b - 44. Let a(t) = 4*t**2 + t. Give b*a(g) + w*o(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252)*-2 - sqrt(252))*5 + sqrt(252) + 0 + -1)**2.\nAnswer: 156*sqrt(7) + 42589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -494974928 divided by -54226?\nAnswer: 9128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44618458 rounded to 3 dps?\nAnswer: 0.446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2488 - 4014?\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178491 + 279254. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*p**3 + 609*p**3 - 431*p**2 + 0*p - 4*p + 2*p + 1325*p**3 wrt p?\nAnswer: 10752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -70. What is the common denominator of 73\/20 and ((-4)\/(-16))\/(6\/v)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 2*d**4\/3 + d**3\/2 - 2*d**2. Let j = -136 + 141. List the prime factors of b(j).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 317507?\nAnswer: -317507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -160761\nAnswer: 2\/160761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let c(r) = -4*r**3 - 7*r**2 + 25*r - 2. Let w(x) = 3*x**3 + 5*x**2 - 18*x + 1. Let i(u) = -2*c(u) - 3*w(u). Calculate i(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/342 and -143\/162.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - -1 - (-4201 - -4209)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1388 and 101\/21514.\nAnswer: 43028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-4)\/14. Which is the nearest to l? (a) 5 (b) -3\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722044743\/4 or 180511186?\nAnswer: 722044743\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10 + 2822)\/(-12)*(2\/(-4) + -2) is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -17*c**3\/3 - 3. Let g(k) be the first derivative of 3*k**2\/2 + 206. Give y(g(w)).\nAnswer: -153*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 5*w + 3. Let p = -27 - -30. Suppose -4*i + 4*v - p + 15 = 0, 8 = 2*v. Let h be c(i). What is the highest common divisor of h and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*g**5 - 10\/9*g**3 + 0*g**2 + 0*g - 4\/3*g**4.\nAnswer: -2*g**3*(g + 1)*(g + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 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: Calculate prob of sequence jklb when four letters picked without replacement from {r: 1, l: 2, b: 1, s: 1, k: 1, j: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 3*g. Let w be x(3). Let o(d) = -2*d + 11. Let q be o(w). Let v = q - -10. Solve 0*a = v*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:14 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + 7 + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 6378870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 157838 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -5*p + 2*p - 8*j, 2*j + 2*j + 45 = -15*p + 16*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 1, 2*k - 6*a + 10*a = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgttgaagttaaaatgagt. Give prob of picking 1 s and 1 g.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 8. Suppose -4*n = 13 - 1. Let o be b(n). Which is bigger: 3\/7 or o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-4)\/((-8)\/6). What is the tens digit of (-1 - 0)*(-32 + h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(99)*-2 + sqrt(99)))\/(-3*(sqrt(225)*5 + sqrt(225))).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1117929 - -537529. Round k to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f - 510. Give h(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181.65 + 0.35. Let k = -181.9 + n. What is the closest to k in -5\/2, 11, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 18 = -o - 2*v - 6, -72*v - 128 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.037 (c) 1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/56 and -33\/140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + 0*o**5 - 5*o**5 + (-3*o + 5*o - o)*(o**4 - 3*o**4 + 0*o**4) + 4*o**5 - 10*o**5 + 11*o**5.\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x - 1. Let c be q(-5). Suppose c = -y + 4*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1212 (b) 3792.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l - 18*l + 61*l)*(2*l - l + 2 - 2*l).\nAnswer: -19*l**2 + 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1381104.26 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*n - 23. Suppose -5*o = 2*v - 14, 8*v = -2*o + 25*v + 59. Solve 0 = -2*c - o*f - 22 + 4, c + 3*f = -n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 4\/9 (c) -16\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 156?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(3*(-35)\/(-42))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 - 7*x + 5. Let u be s(6). Let i(m) = 3*m**2 + 1. Let k be i(u). Let j be 5 - (4 - (4 + -4)). Solve k*p = -15 - j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + i + 7, -6*b + 4*b + 2 = 2*i. Suppose 13 = j + b. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.657616 kilograms to milligrams.\nAnswer: 7657616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*y + 2*y - 39739*y**2 + 39674*y**2.\nAnswer: -65*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 166 + 384 = 67*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -14*g + 20. Let k(z) = 555*z**3 - 2*z**2 - z. Let o be k(-1). What are the prime factors of o\/(-10) + ((-16)\/(-10))\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 5 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 + 42*r**4\/5 - 106*r**3\/5 + 116*r**2\/5 - 57*r\/5 + 2 = 0. Calculate r.\nAnswer: 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + ((-90)\/9 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (5632\/(-346))\/4. Let j = 1516\/1903 - i. Suppose 0*f = -w + f - 8, -4*w + f = 20. Find the common denominator of j and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + 15*u**2 - 25*u + 62. What is the hundreds digit of p(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 3. Let c be a(5). Let j be (-24)\/72 - 4\/(-3). Solve -j = -2*l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 9*j**2 + 5*j - 32. Let a be y(9). Suppose 5*b + 61 = 4*k, -7*b + 10 = k - 3*b. Are k and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 705 + 182 - w**3 + 176 + 174 + 177. Let r(y) be the first derivative of 3*y**4\/4 - 9*y**2\/2 - 9*y + 6. What is -9*b(f) - 4*r(f)?\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = 3*k. Suppose -3*n - m = 12, 5*n = n + k*m - 16. Let i = 3.8 + -3.3. Which is the nearest to -2? (a) i (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 108. Let y(v) = 2*v**2 - 8*v - 9. Let d be y(f). What is the greatest common divisor of 25 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -65. Let p be (-5 - -5)*1*(m - 1). Suppose p = 3*h + 4*r - 2 - 118, 2*r + 174 = 5*h. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -3 - (-10 + 2). Find the second derivative of -x*r**5 + 29*r**5 + 2*r + 0*r wrt r.\nAnswer: 440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*n + 23, 4*q + 17 - 2 = -5*n. Suppose 4*o - 5 = 3. Put q, o, 0 in descending order.\nAnswer: o, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 3)*(2*v + 2*v - 3*v) - 6 + 6 + 6*v)*(-5 - 6 + 23) to the form w*v + q and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5*z**3\/3 + 5*z**2 + 5*z + 7. What is y in m(y) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -20.4. Let d = x + 2.6. Suppose -5*z + 4*a = -13, 3*z - 27 = -21*a + 17*a. Which is greater: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0) + (-18 - 1 - -24). Solve -15*d + 11*d + c = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308105857 to the power of 1\/4, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1511\/6003 or -1?\nAnswer: -1511\/6003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + l**4 + 0*l**4 + (-l + l - 2*l**2)*(-2*l**2 + 0*l**2 + 5*l**2) + l**4 + 3*l**4 + 2*l**4.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 700*c**2 + 3573*c + 541. Give j(-5).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -442301?\nAnswer: -6\/442301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 146?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48729300 rounded to the nearest one hundred thousand?\nAnswer: -48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 8*c**2 - 7*c - 21. Give h(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r. Let j(u) = -u**2 - 6*u + 6. Let f = -25 + 31. Let c(p) = -p**2 - 5*p + 5. Let z(t) = f*c(t) - 5*j(t). Calculate w(z(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 5*n**2 - 6*n + 2. Let h be 21 - -2*(-3)\/(-3). Suppose -1 = -4*q + h. Let y be m(q). Is y greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22\/9))**(2\/29)*(n**(35\/2)\/n)**(-31) assuming n is positive.\nAnswer: n**(-267091\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u. Let n(x) = 1135*x**2 + 2. What is w(n(a))?\nAnswer: 6810*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-4)\/2) + -1. Suppose -z + 5*v - 6 = t, -2*v = -z - 0*v - 3. Let q be ((-5)\/4)\/((-1)\/4). What is the closest to 1 in q, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxpx when four letters picked without replacement from {x: 2, p: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -3, -1, -421, 7, 1\/376?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -538\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Let n(d) = d**3 + d**2 + d + 23. What is the tens digit of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1606a (base 13) to base 7\nAnswer: 232646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 72*o**2 + 7. Let q be t(-36). Sort 5, q, -72.\nAnswer: -72, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*k - 18, 3*k = -0*k + m + 7. Suppose 5 = -k*v + u + 61, -v = 5*u - 40. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*(sqrt(132) + 5*-1*sqrt(132)))\/(-5*(sqrt(12) - sqrt(12)*-2*6)*-5))**2.\nAnswer: 6336\/105625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 14*h - 3. Let j be c(3). Suppose -2*l - 6 = 0, 5*d - 3*d - l - 9 = 0. Are d and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(1 - 1 - a**3) - 2*a**3 - 4*a**3 + 7*a**3 + 1 - 1 - 2*a**3 - 64*a**2 + 77 + 12*a**2 - 2*a**3 + 55*a**2.\nAnswer: -5*a**3 + 3*a**2 + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(243) + -5)**2 - sqrt(243)) + -3)*6 - ((sqrt(243) + 1)*1 + 2*sqrt(243) + 0 + 5).\nAnswer: -81*sqrt(3) + 1434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83035\/42 - 1977. Let q(w) be the third derivative of 1\/105*w**5 + 0*w + 0*w**3 - t*w**4 + 0 - w**2. Factor q(y).\nAnswer: 4*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -24*n - 4, -2*c + 3*n + 2204 = 0. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 8. Let q(r) = r**3 + 5*r**2 + 6*r + 1. Let p be q(-4). Let i be c(p). Solve -i + 4 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6364034 + 158927009\/25. Let b = n + 4217897\/425. Let h = 2970 - b. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -38, 16, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182629247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose 4*z + l*t = 0, 2*t + 16 = z + 4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/25))**(-5\/3) assuming c is positive.\nAnswer: c**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdlp when four letters picked without replacement from {h: 3, l: 2, p: 2, e: 1, d: 3, j: 4}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23777909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:47 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from mxbmmbfrjrr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67858 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 882 + 35\/((-35)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 425126*r - 135549086907.\nAnswer: -(r - 637689)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1\/8, 4, -2\/15, -24543, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19323.087 months?\nAnswer: 1610.25725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 5)\/30)\/((-9845)\/22375)?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 3.6 (b) -2\/17 (c) -0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 0.03972. What is n rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 159, 283, 507, 849, 1327, 1959?\n\"Answer: 3*y**3 + 32*y**2 + 7*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - -62. Let u = -54 + r. Calculate the highest common factor of 148 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0 - 3. Let y = -7 + 11. Let h = y - u. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -770*r**2. Let k(y) = 465*y. Give k(t(z)).\nAnswer: -358050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2753 + 87*l - 79*l - 235*l + 583*l + 546*l with respect to l.\nAnswer: 902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571498901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 690349669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a - 3*a + (a + 0 + 0)*(-1 - 1 + 4) - 2*a + 3 + 2 - 4.\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-1*5.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (2 - 3))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 139, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 80*h**2 + 3*h - 30. Let y(m) = 720*m**2 + 28*m - 280. Determine -28*d(t) + 3*y(t).\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/141 and -97\/30?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6557\/4? (a) 2 (b) 0.1 (c) 1.5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 31096000 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 206?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by (-1)\/((-7)\/(-49)) + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = -32. Suppose -12 = -12*u + i*u. Suppose v - 124 = -u*v. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p - 35 = 60*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 9.69004.\nAnswer: 7.69004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2519, -10064, -22643, -40250, -62879, -90524, -123179?\n\"Answer: f**3 - 2523*f**2 + 17*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.0333ml in litres?\nAnswer: 0.1420333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let v(p) = -895*p. Determine v(j(z)).\nAnswer: 895*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let s(n) = 936054*n. Give s(g(h)).\nAnswer: -2808162*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -294, 4, 5, -7, -10, 39 in increasing order.\nAnswer: -294, -10, -7, 0, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0181591892 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(325) - (sqrt(325) + 2))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21445571?\nAnswer: 7, 3063653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 13*u**2 - 16*u - 28. Let v = 96 + -62. Suppose 2*o - 10 = -v. What are the prime factors of i(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -16, -16, -2, 32?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:53 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-7) - -2 - 25600\/2800?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 - x**2 + (3*x + 0*x - 5*x)*(-3*x - x + 3*x) - 1 + 1 + x**2 + (-2 - 2 + 0)*(11*x**2 - 25*x**2 - 26*x**2) - x**2 - x**2 + 3*x**2.\nAnswer: 163*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2 (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:28 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, t: 1, l: 2}. Give prob of picking 1 t and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15284.86*-12.\nAnswer: 183418.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1104\/32*-4*((-114)\/36)\/(-19).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**23\/(t\/t**(-36)))**(-2\/37))**34 assuming t is positive.\nAnswer: t**(952\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - r**2 - r - 2. Let i be h(-2). Suppose -3*j = -0*j + i. Is 1\/3 - 116\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 - -230.9. Suppose -h - 2*h - 5 = -k, 2*h + 2 = 2*k. Is o smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9)*z)\/(z*z*z*z**(1\/12))*(z**(-16)\/z)\/(z**(-2\/11)\/z))**47 assuming z is positive.\nAnswer: z**(-166897\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44518\/82053 + 2\/3039. Find the common denominator of s and (90\/(-63))\/(-5) - 358\/126.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0114406038 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p - 302*p + 14265 = -51*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30535?\nAnswer: 5, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704)*-2 + -1.\nAnswer: -16*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - -2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/19242189 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14281 (base 9) in base 12?\nAnswer: -5754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 39 = h + 30, h - m = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 73 - 57. Calculate the remainder when 99 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1216) - (sqrt(1216) + -1)*5) + (sqrt(1216) - (sqrt(1216) + 0)) + 2 - 2*(sqrt(1216) + 1)*-2))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - -1. Let m = -3.2 + l. Let j = -69 - -73. What is the closest to 0.1 in m, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (-8 - -48) - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10147 + 10146.8. Which is the nearest to -7? (a) x (b) 0 (c) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*(-12)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1332 and 592.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87250 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 913*p - 1925*p + 511*p + (-2 + 0 + 0)*(p - 2*p + 2*p) + 0 + 0 + 3*p.\nAnswer: -500*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 2*z - 1, 0 = 4*p - 2*z - 46. Let i be 11\/((-121)\/(-42)) - 4. Sort -1, i, p, -3 in ascending order.\nAnswer: -3, -1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6013 and 1113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w. Let v be 24\/10 - 18\/45 - 8. Let u(a) = -3*a**3 - 6*a**2 + 8*a. Determine v*h(m) - u(m).\nAnswer: 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0*i**3 + i**3 + 18*i**2 + 15*i + 3*i + 37 - 32*i + 2*i. List the prime factors of q(-12).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsjsajsvvssvhvss. Give prob of sequence sa.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -236.49.\nAnswer: 70.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -172?\nAnswer: 171.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1914 and 41\/87.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 18*w**5 - 598*w**4 + 4668*w**3 - 3672*w**2 - 27920*w + 6336 = 0.\nAnswer: -2, 2\/9, 4, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 - 1\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -13*c - 20. Let p be ((2 - 2) + 5)*c\/(-2). Solve -s - 6 = -0*q + 3*q, q - 2*s = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4083760 rounded to the nearest 10000?\nAnswer: -4080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 - 173*p + 752. Give x(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 + 10 = 0. Let b be 8\/p*3\/(-2). What is the derivative of -3 + 2 + b*u + u wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 64. What is the common denominator of -79\/51 and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120105822527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (0 + (-21 - -1)). Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and 91\/2164.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -19, 8, 55, 128, 233, 376?\n\"Answer: v**3 + v**2 + 3*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 + 12 = -2*g, 0 = x + 5*g + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.215 - -0.146. Let v = -0.079 - q. Let o be -1*((-3)\/6)\/(-1). Is o greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 645, -445, -2269, -4827, -8119?\n\"Answer: -367*a**2 + 11*a + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241050930 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 15*g - 2*g**3 + 18*g**2 + 1\/12*g**4. Determine c so that j(c) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2017, 195, -1627, -3449, -5271, -7093?\nAnswer: -8915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-5)\/(11\/22). Let d(s) = -275*s - 93. Is d(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 4*z**2 - 4*z**2)*(3*z - 3*z + 2*z) + (-2*z + 4*z + z)*(-78*z - 130*z + 63*z)*(-2*z - 1 + 1).\nAnswer: 864*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 2469?\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -225325?\nAnswer: 225320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 3*c)*(3 - 2 - 3)*(0 - 2 + 1).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 35*k - 90.\nAnswer: 5*(k - 2)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/3 + 4652*m**4\/3 - 24882*m**3 + 196016*m**2\/3 - 186707*m\/3 + 20228 = 0.\nAnswer: -4668, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 578895\nAnswer: 3\/38593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-120))\/((-6)\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1173, -2, 3.\nAnswer: -1173, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 8*d**2 + 4*d - 5. Let f(g) = -2*g**3 + 9*g**2 + 5*g - 6. Calculate -5*f(v) + 6*n(v).\nAnswer: -2*v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 1, -0.13, 32.9 in descending order.\nAnswer: 32.9, 8, 5, 1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 488805221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b - 4 = 0. Suppose -5*c = -b*t - 2, -2*t - 2*t + 12 = 2*c. Calculate the smallest common multiple of ((-21)\/(-9))\/(2\/6) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -19*s**2 - 109*s - 110. Give u(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4466101um to millimeters.\nAnswer: 0.0004466101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -89, 572, -2\/9, 0.4?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6394, -5, 2, -70, -2, 3 in descending order.\nAnswer: 6394, 5, 3, 2, -2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253.69 - -255. Let k = s + -0.31. Is -8 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2592525*f**2. Let w(v) = 445*v. Give i(w(l)).\nAnswer: -513384763125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 68*y**2. Let m(p) = -5*p**2. Determine m(l(z)).\nAnswer: -23120*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**7\/210 + z**4\/6 + 4*z**3\/3 - 2. Let v(b) be the third derivative of i(b). What is the derivative of v(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2440 divided by -305.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -a - 5, -2*a - 14 = -0*y + 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 38. Suppose 0 = -5*w - 4*n - 20, 2*w + 5*n - 4 = 5. Let m be 3\/(-12) - 42\/w. Solve 4*u - 4*q - 14 = -2, i = -u + m*q + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 248957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 64*l**2 - 7505*l - 13202. Calculate x(119).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let x be a(-10). Let n(i) = 1. Let t(p) = -6*p - 1. Let q(s) = x*n(s) - t(s). Calculate the common denominator of 15 and q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1128, 1, 2, 0.\nAnswer: 0, 1, 2, 1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-3) - (-1 + 3). Suppose -g*b + 204 = -0*b. Solve 5*d = -2*y + b - 20, -5 = -d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*((-2 + 2 - 2*b)*(-4*b + 3*b + 5*b) + 74*b - 74*b + 9*b**2).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11326*n = 11320*n + 90 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*s = -1472*s + 272322. Let g = 12 - -6. What is the highest common factor of g and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*q - 21. Let y be (q\/3)\/(1\/(-3)). Let n be 3*(-4)\/18*3. Let t(d) = -d**2 + d - 1. Let f(j) = 6*j**2 - 6*j + 5. Give n*f(g) + y*t(g).\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 0*u + 4*u - u**2 - 5. Let i be p(5). Suppose 0 = -376*f + 392*f - 64. Solve -f*d = -i*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-90))\/(((-6)\/(-8))\/((-10680)\/5696)).\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-27) + (-8)\/3)*-1. Solve 0 = -o*u - 2*g - 3*g - 9, 4*g = -u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 10. Sort x, 3, 1.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.71647071 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -3*v**2 - 1\/20*v**5 + 0 + 0*v**3 + 0*v - 1\/12*v**4. What is the second derivative of b(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/480 - y**5\/60 + y**4\/32 - y**2 + 22. Suppose p(h) = 0. Calculate h.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1598009577 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 932.5226578 and 1.813.\nAnswer: 934.3356578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/7 - 5154*w**4\/7 + 14622*w**3 - 189254*w**2\/7 + 92052*w\/7 = 0. What is w?\nAnswer: 0, 1, 18, 2557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623) - (sqrt(7623)*1 - sqrt(7623)))\/(sqrt(54)\/(sqrt(6)*2)).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 + 7*k - 2. Let p be c(6). Let r(a) = 1. Let j(h) = -5 + 41747*h - 83493*h + 41744*h. What is p*r(o) + j(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4828*y + 5779 + 11188 + 2345 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001 (base 3) in base 16?\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) - 3*sqrt(500)*1))\/((sqrt(144) - (sqrt(144) + sqrt(144)*-2*4) - sqrt(144))*2)*-5.\nAnswer: -25*sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/24 + (-2)\/(-8). Let g(i) be the third derivative of i**6\/120 - i**5\/10 + i**4\/6 + i**3\/3 + i**2. Let w be g(q). Let n(f) = -f - 7. Determine n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**4 - 3*d**3 + 9*d**2 - 7*d. Let f(u) = 9*u**4 + 6*u**3 - 17*u**2 + 13*u. Let y(o) = 6*f(o) + 11*m(o). Determine s, given that y(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 9*g**2 - 38*g - 4. Let p be a(-3). Let d = -340 - -588. Find the third derivative of -259*z**5 - 2 + 2 - 10*z**p + d*z**5 wrt z.\nAnswer: -660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -450?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 7716\/18287?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - q**4\/4 - q**3\/6 + q**2\/2 - 17*q. What is s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*1)\/(1 + 0). Let c(y) = 4*y**2 - 4*y**2 + 4*y**2 - y**j. Let a(u) = 3*u. Calculate a(c(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16394, -16363, -16282, -16127, -15874, -15499?\n\"Answer: 4*p**3 + p**2 - 16399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6447 or 235?\nAnswer: 6447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngngnaffigggagiegafi. Give prob of picking 3 i and 1 g.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*y - 162*y**3 - 35*y - 50*y**2 + 44*y**2 to f*y**2 + j*y + q*y**3 + x and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 27 = 17*h. Suppose 87 + h = 4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.38 in 5, 8.5, 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*r**2 - 35*r - 31*r + 66*r - 19*r**2 in the form t*r + l*r**2 + x and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019693223 to 5 decimal places.\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 534 + -504. What is the greatest common divisor of i and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 702*c**4 + 115073*c**2*y + 178392143*y wrt c.\nAnswer: 2808*c**3 + 230146*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.874 + 2.674. Sort q, -2, 0.1 in increasing order.\nAnswer: -2, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2\/3, -1\/3, 15, -2\/11, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/20 + 5*r**4\/12 - r**3 + 3*r**2\/2 - 6*r + 5. Let m(u) be the first derivative of g(u). Determine m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.699 and -269116232224.\nAnswer: -269116232223.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/3*v**3 + 5 + 12*v**2 - 24*v. Let i be r(-25). Round i to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 130\/70.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:34 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -6, 2, 0 in increasing order.\nAnswer: -6, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13731 - -329593\/24. Let q = 4739 + -56939\/12. What is the common denominator of q and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9574.227 weeks in microseconds?\nAnswer: 5790492489600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 3*u**5\/20 - 7*u**4\/12 - 3*u**3\/2 - u**2 - 26*u. Let z be r(4). Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -248621?\nAnswer: 248621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 566020630 divided by 10?\nAnswer: 56602063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 36 = 3*f, -3*t = 192*f - 189*f - 54. What is the remainder when (-295)\/(-4) - 2\/(-8) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 6\/(-3))*109. Suppose -5*n = -2*o + 71, -6*o = -3*o - 5*n - y. What is the second derivative of 167*k**5 + o*k - 146*k**5 - 2*k**2 + 2*k**2 wrt k?\nAnswer: 420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -122. Let q(m) be the second derivative of -1\/3*m**4 + 3\/10*m**5 + 0*m**t + 0 + 0*m**3 - m. Factor q(h).\nAnswer: 2*h**2*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101780257 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 12:33 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*s - 5*s. Suppose 5*q + s = -o, 3*q + 25 + 12 = 4*o. Let t(j) = -j**2 + 10*j + 1. Determine t(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172774513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 47 - 12. Let k = 12 - a. Suppose -c = -f + k, 0 = -2*f - 4*c + 2*c - 10. Solve f*d - 4*d = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 + 0*v**2 - 6*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 974359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*f - 25*f - 15*f)*(3*f**3 + 2*f**3 - 4*f**3) to u*f + b*f**2 + d + j*f**4 + i*f**3 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -333829440 divided by -9744\nAnswer: 34260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -11*t + 5*c - 1, -7*t = -5*c + 37 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - -49. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.248 + 4.248. Which is the third biggest value? (a) -13 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = 2*w, -2*o - 4*w = -4*o + 8. Sort 2, -2, o, 4 in decreasing order.\nAnswer: 4, 2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = y - 5*t + 15, -4*y = -3*t - 27. Is 0 + 16 - (5 - y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 618324.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3531605, 3531599, 3531593, 3531587?\nAnswer: 3531581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -73, -110?\n\"Answer: -37*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 4*y - 10. Let t(g) = -g**2 + g - 3. Calculate -2*s(u) + 7*t(u).\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -8*m + 86. Let t = m + -35. Let p(v) = -4*v + t*v - 5 + v + v. Determine p(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:22 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9, 2*o = 2*v + 9 + 3. Suppose 4*b - 7*b = 9. Is v equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(33)\/(sqrt(11) + sqrt(33)\/sqrt(3)))**2.\nAnswer: -4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/13 - 728596\/(-754) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4655 and -4664 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16634450?\nAnswer: 2, 5, 7, 47527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -16. Suppose -b + r = 5*y - 15, -y + 3*b = 9. Let f be (10\/y)\/((-4)\/(-6)). Solve 4*l = f*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + 1 - (sqrt(11)*-2*-2 + 5)**2.\nAnswer: -200 - 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a - 4. Suppose 5*k = k + 5*o + 18, 0 = 5*k + 5*o. Suppose -2*l + k*g = 3*g - 23, 3*l - g - 32 = 0. Let q(i) = -13*i - 7. What is l*y(c) - 6*q(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 - 3.9. Let o = -19939\/5 - -3988. Which is the nearest to o? (a) d (b) -23 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233875557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 116\/(-24)) + 4\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (16 - ((31 - -2) + 78))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h - 18. Let w be (-2 - -1) + 0 - -1. Suppose -5*n + w*a = 4*a - 71, -2*n = -3*a - 33. Calculate the greatest common factor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 21*y - 19. Let s be z(-22). What is the units digit of s\/(-3)*7 - -89?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -269*m**3 + m**2 - 3*m + 1. Let w = -60 - -61. Let s be n(w). Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x**4 - x)*(-10 + 4 + 8)*(16 - 3 + 10).\nAnswer: -46*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 336821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n. Let s be (6\/(60\/2935))\/(1\/2). Let t(z) = -6*z + 1166 - s - 579. Calculate t(j(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*u + g, -4*g - 120 = 2*u - 6*u. Suppose 4*q = 3*q + 39. Calculate the greatest common divisor of q and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6582*z**3 - 2*z**5 + 13190*z**3 - 6580*z**3 + 14*z + 8 wrt z?\nAnswer: -40*z**3 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22421, -44865, -67309?\nAnswer: -89753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*y - 182 + 1050, -26*t = 4*y - 11284. Solve 0 = 435*a - t*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 76*t**3 - 75156*t**2 - 37579*t - 4704. Let y(x) = -305*x**3 + 300625*x**2 + 150320*x + 18815. Let i(d) = -15*q(d) - 4*y(d). Factor i(n).\nAnswer: 5*(n - 940)*(4*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1559578419 to the nearest integer?\nAnswer: 39491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-78 - 3)) + 4. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603 and 917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(sqrt(80) - (sqrt(80) + 3*sqrt(80))) + sqrt(80) + sqrt(80))*-3 + (sqrt(80) + (sqrt(80) - (-2 + 1*sqrt(80) - sqrt(80))) + 5)**2).\nAnswer: -464*sqrt(5) - 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - 4?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 17, 0.3, -31, -11, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/9)*b)\/b)\/(b**(2\/3)*b)*b\/(b**(-1)*b*b)*b*b*b\/(b\/(b\/((b**(-2\/7)*b)\/b*b)))*b*b*b assuming b is positive.\nAnswer: b**(200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*a**2 + 3\/2*a**4 + 0 - 12*a - 9*a**3 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(6\/(-57) - 200\/(-456))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -34.07. Let m = -0.02 + x. Put -4\/3, m, 0.4 in decreasing order.\nAnswer: 0.4, m, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33961274273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8545\/4013 or -1?\nAnswer: -8545\/4013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087 + (-27)\/((-189)\/70) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.6 and 0.19.\nAnswer: 1.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = -3*s, s - 2 = -4*m - 6. What is the tens digit of ((-30)\/s)\/((-12)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -142. Put 4, -99, n in decreasing order.\nAnswer: 4, n, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.05, 0.5, -41?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/(32\/56 + 837\/(-1134)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*l = 18, -6 - 3 = -5*b + 2*l. Let w(x) be the second derivative of 0 - 1\/48*x**b - 3*x - 1\/8*x**2 + 1\/96*x**4. Factor w(p).\nAnswer: (p - 2)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*j**3 + 79*a**2*j**2 - 2*a*j**2 - 87*j**3 wrt j?\nAnswer: 6*a**2 - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -392?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35170056 divided by -3\nAnswer: 11723352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12934 is divided by 359.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**2 + 10*o - 5. Let g = 2451 - 2447. Let j(z) = z + 4 - 11*z + 9*z**2 - z. Let m(p) = g*f(p) + 5*j(p). Factor m(d).\nAnswer: 5*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -28, 11, 100, 257?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 46, 0 in decreasing order.\nAnswer: 46, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/122 + -2\/61. Let w be 4\/18*6\/4. Let k be 1\/(-2)*(27 - 25). What is the closest to k in 3, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 25 = -7*b, 5*g + 0*g - 24*b + 22*b = 6 + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66 and -739.5.\nAnswer: -673.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561498 and 1844.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812106 and 810.\nAnswer: 4060530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 47698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 5*p)*(2*p + 5*p - 2*p) - 48*p**2 - 45*p**2 - 37*p**2.\nAnswer: -150*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 11. Let x be s(11). Let z be -2 + (74 - x) + 2. Suppose z = 2*l - 20. Round l to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2840422*m**4 + 2*m**2 - 586*m - 7363 wrt m.\nAnswer: -68170128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/300 - 2*h**5\/75 - h**4\/15 - 23*h**2 - 4*h + 19. Let v(j) be the first derivative of k(j). Factor v(y).\nAnswer: -2*y*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -65.06. Which is the closest to -0.3? (a) -3 (b) 2\/17 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v - 1. Let i be (8\/28)\/(v\/(-21)). What is the second derivative of 0*k - 4*k - 2*k**4 + i*k**4 - k**4 wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 64*f + 19. Let g(r) = r**2 - 13*r + 12. Let a be g(13). Is b(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 - 220383?\nAnswer: -220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) -31\/2 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpe when three letters picked without replacement from emmspcx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/3*(-396)\/(-60). Let a(j) = j**3 - 22*j**2 - 2*j - 9. Let q be a(d). Is q equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 + (-1)\/3). Let r be ((-68)\/(-8) + -4)*(-2 + 4). Let w be 9 - (0 + 10\/(-2) + r). Solve 0 = -3*m - q + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 15 + 5 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*w = -28, -2*r + 3*w = 13 + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.313 - -0.063. Let w = c + 0.75. Let r = -0.544 + -0.156. What is the third biggest value in w, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**7\/1050 - p**6\/200 + p**4\/30 + 6*p**2. Let i(u) = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.135944 take away -211?\nAnswer: 209.864056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9702\/27 - (-4)\/6. What is the units digit of ((-39)\/6 + 7)*h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 220*t**4\/7 + 122*t**3\/7 - 34*t**2\/7 - 20*t\/7 = 0.\nAnswer: -1\/2, -5\/11, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 652927*t**3 + 14*t**2 + 24655.\nAnswer: 3917562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2) - (5 + -1). Let s = -14 - q. Let t = 61 + s. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpt. What is prob of sequence pt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14619 divided by -6?\nAnswer: 4873\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34527)\/(-952) + -29 + 5\/(-40)?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/4 + 51*b**4\/4 - 671*b**3\/2 + 5*b**2 + 15450*b + 28000 = 0.\nAnswer: -70, -5, -2, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m = -3*z - 38*m + 219225, m - 365405 = -5*z. Is z a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 3. Suppose -2*s + 3 = -5. Suppose 1 = -h + s. Let r = -1 + h. Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1072 rounded to 3 dps?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1)))\/(g*g**(-5)))\/(g**(-2\/7))**5 assuming g is positive.\nAnswer: g**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 5 - 2) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 1*sqrt(297) + sqrt(297))\/(-1*sqrt(300) + sqrt(3)) + (sqrt(66)*3)\/sqrt(6) + 5 + 2.\nAnswer: 7 + 20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37103448 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyfeybh. What is prob of sequence yeb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -57, -83, -107?\n\"Answer: n**2 - 31*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2513245 days in seconds?\nAnswer: 21714.4368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-256168)\/(-37680))\/(-41) + 1\/6. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trlwwaoaaaow. Give prob of sequence wrol.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, 0.3, -3\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/18*(36 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w - 31*w - 40*w.\nAnswer: -107*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1558*w*z**4 + 4*w*z**2 + 2*w*z + 4*z**2 + 107625*z wrt z.\nAnswer: -18696*w*z**2 + 8*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.9923855 hours?\nAnswer: 0.0830160625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6099798 is divided by 3049894.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46992 is divided by 46651.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2731 + 102*z - 2731. Let q(w) = w**2. What is n(q(y))?\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11.8892 (b) -2\/11 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.27041 and -2?\nAnswer: 1.72959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = -3*u, o - 4*u = -3 - 0. Which is the nearest to -0.1? (a) -0.01 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*1\/3*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*175\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*y**3 - 185*y**3 - 40*y**3.\nAnswer: -166*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04016 and -85.\nAnswer: -84.95984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.917 + 30802554.\nAnswer: 30802524.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = w - 16, -2*w - 6*a + 12 = -4*a. Let h = 15 - w. Which is smaller: h or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.9 - -24.02. Let f = 0.12 - i. Let j = -16\/5 - -69\/20. What is the second biggest value in -2\/5, j, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 403*m**3 + 2*m**2 - m. Let g be i(1). Let v(x) = -x**2 - 5*x - 2. Let w be v(-2). Suppose 2*r + 10 = 0, 3*r + 19 - g = -w*s. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 8*b - 6. Let c(t) = -7*t**2 - 15*t + 13. Calculate 4*c(n) + 9*y(n).\nAnswer: -n**2 + 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*b**2*q**3*s + 621*b**2*q*s - 2*b*q**3*s - 175*b*q - 3*b*s + 2*q**3*s + 4*s wrt b?\nAnswer: 84*q**3*s + 1242*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -228785554 - 4?\nAnswer: -228785558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 8. Suppose 0 = 2*k - 28 - 10. Let m be i(k). Let z = m - -33. Solve -2*o + 4 = 4*d, 5*o + 2*d + 1 = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802894\/7 > 114698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -5459545\nAnswer: 545954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blliltltlmmllilmwtm. Give prob of picking 1 l and 1 i.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1*2 - sqrt(12))\/sqrt(6) + ((sqrt(22)\/sqrt(176) - sqrt(2)) + -4*(sqrt(2) + -1))**2.\nAnswer: -37*sqrt(2) + 489\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -553*p**5\/60 + 443*p**4\/4 - 9*p**2 - 23*p. What is the second derivative of d(h) wrt h?\nAnswer: -1106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/(18\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162108, 1, -51, 0 in ascending order.\nAnswer: -162108, -51, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-48)\/(-18)*-34. Let o = -83 - h. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 15 = 0. Let s be (-2 - (-6 - d))\/13. Suppose -1979*u + 14 = -1965*u. Is s at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1133330, 1133030, 1132730?\nAnswer: 1132430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17126 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 - 249*w + 2303. Give q(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(1573) + 2 + 0 + 0)*5*5)**2.\nAnswer: 82500*sqrt(13) + 8850625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + (-123)\/(-9). Let w(r) = -r + 37. Let v be w(t). Suppose -h + 21 = -v. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028238737 to seven dps.\nAnswer: 0.0002824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -299.8164 - 64429\nAnswer: -64728.8164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 557990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.5 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Let o(q) = q**2 + 6*q - 3. Let n(l) = -2*l**2 - 11*l + 5. Let g(b) = 3*n(b) + 5*o(b). Calculate the remainder when 4 is divided by g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320900, -320899, -320904, -320921, -320956, -321015, -321104, -321229?\nAnswer: -321396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v - 30. Suppose 8*s = 3*s + v. Suppose -6 = -t - s, -u + 25 = 3*t. What is the greatest common divisor of u and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - 16\/(-36). Suppose 127 = -11*s + 127. Factor -2\/3*n**4 + s + h*n**2 + 0*n + 0*n**3.\nAnswer: -2*n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26132)\/1668 - ((-28)\/6 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*k + 15 = 0, -k = -3*k. Suppose -u - i*g = -19, -15 = -9*g + 4*g. Solve l = -u*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 12*y - 13. List the prime factors of s(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 895*q - 7. Let w(m) = -10*m - 58. Let p be w(-6). Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(8)*1) + sqrt(4) + sqrt(16)\/(sqrt(4) - 2*sqrt(4)))\/(sqrt(200)*2*-5 + sqrt(200) + sqrt(200)).\nAnswer: -sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-54) - (-130)\/18. Let x(u) be the second derivative of u**5\/20 - 2*u**4\/3 + 3*u**3\/2 - 15*u**2\/2 - 23*u + 2. Let m be x(c). Are m and -14\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248947562?\nAnswer: 2, 124473781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 2*c + 5*s, -4*c - 3*s - 153 = -0*s. Calculate the common denominator of 81\/16 and c\/(-8)*(16\/30)\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*l**5 - 18311*b**2*l + 16774*b*l**5 wrt l?\nAnswer: 100*b**2*l**3 + 335480*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 0.02, 0.5, -1.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 minus -19.6?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 6) in base 9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7932 - -7937. Let o(h) be the first derivative of 15 - 9\/20*h**c - h - 61\/12*h**3 + 7\/2*h**2 + 21\/8*h**4. Factor o(v).\nAnswer: -(v - 2)**2*(3*v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19886*z + 3997081. Calculate p(-201).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*w - 334 + 334.\nAnswer: 502*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 10 + 1 + -4 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1097591 - 2?\nAnswer: 109758b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 1. What is y(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = 19*l - 5*l - 133 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*f - 9*f. Suppose -f*o - 45043714 = 17356286. What is o rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 32*a - 39*a + 76*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76367 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47.25 - -47. Let m = 8.95 - l. What is m rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/2 in -14, -1389\/4, -4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*v - 36 = 0, -4226*d + 6 = -4231*d + 2*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*h - 9*h - h)*(2*h - 3 + 5 + 0*h) in the form r*h**2 + x*h + w and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115748 - 82253. What are the prime factors of r?\nAnswer: 3, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 246\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.048, -2\/21, 0.4, -4, -3246\/29, 0.02?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 3*o + 3*o)*((4 - 4 - 1)*(0 - 4 + 6) + 0 + 1 + 4) + (-3*o**2 + 0*o**2 + 2*o**2)*(-2 + 0 + 1).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 7. Let n(u) = -2*u - 3. What is -6*b(z) - 13*n(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15164\/3765 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.987739 millennia to months.\nAnswer: 59852.868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320*g + 5805*g = -43*g + 371296 for g.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44838706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -1\/2, 0.5, 16\/25 in decreasing order.\nAnswer: 10, 3, 16\/25, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -10656, 5, 3, 0.\nAnswer: -10656, 0, 3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/3 - 387340*q\/3 - 22873946 = 0. Calculate q.\nAnswer: -177, 193847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f - 2097434 - 203803 = 54*f. List the prime factors of f.\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 1, -5\/4, -2, -34 in descending order.\nAnswer: 8, 4, 1, -5\/4, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.442 * -6950.\nAnswer: -10021.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -0.8999945. Let n = 0.2 + -0.2. Let a = n + c. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + j + 2. Suppose s - 5*o - 17 = -3*s, 5*s + 15 = -o. Let x = 2 + s. What is i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5 + 5)*(-1187 - 53 - 505 + 121 + 83).\nAnswer: -1541*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/9 + 5095*k**3\/9 + 120773*k**2\/9 + 164588*k\/9 - 37708\/3 = 0.\nAnswer: -22, -2, 1\/2, 2571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 + 3 = 0. Let j be (8 + f)\/(2\/6). Suppose k + j = 3*p + 17, -26 = -2*k + 5*p. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12447\/8 - 1554. Let b = -13\/8 + s. Let x = -0.099 - -0.099. Is x at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(1\/19)\/(k*k\/(k*k**(-1\/2)))**(4\/9))\/(k\/(k*k**(1\/8))*k*k\/(k**(-8)*k)*k**(-2)\/k**(2\/7)) assuming k is positive.\nAnswer: k**(-23273\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-2*sqrt(5)))\/(sqrt(24)\/sqrt(2)*-5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) 147 (d) -3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2300 and 45425?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y + 9. Let a be y\/9 + (-26)\/(-6). Let q = -0.49699 - -2.49699. What is the closest to q in 1\/3, a, -10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18972.81548 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 - j**2 - 3 + 4*j**2 - 2*j. Let y(x) = 6*x + 269. Let t be y(-45). Let g be o(t). Solve -6 = -g*m - k, 5*m - 12 = -k - 3*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(7) + -2 + sqrt(7))**2 - (sqrt(7) + (sqrt(49) + sqrt(98)\/sqrt(2))\/sqrt(7) + sqrt(7))) + (sqrt(70) + 5*sqrt(70)*4 - sqrt(70))\/sqrt(10).\nAnswer: -12*sqrt(7) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + a + 42 + 37 as q + d*a and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = 4*k. Which is bigger: k or -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13585994014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(90)\/sqrt(3)*-6*6)\/(sqrt(10) + sqrt(250)*-1 - sqrt(10) - sqrt(490)*-4).\nAnswer: 180*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -10*a**4 - 123*a**3 - 320*a**2 - 201*a + 54 = 0.\nAnswer: -9, -2, -3\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 275*m**2 + 300*m + 6690. Calculate s(-276).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*c + 13 = 0, -4*y - c = -14*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afb when three letters picked without replacement from ffobaaabaaooakao.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 10*h**2 + 5*h + 4. Let l(m) = m**2 + 1. Let g(b) = -5*l(b) + s(b). Let r be g(-4). What is the units digit of (-3 - r\/3) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.9, -0.01, -8, 157?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/2)*g))\/((g\/(g*(g*g**(-8))\/g))\/g)*g*g**(-7)*g*g*g\/(g*g\/(g\/g**(-1)*g)) assuming g is positive.\nAnswer: g**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 5804*f**3 - 28963728*f**2 + 37537927632*f - 15440595310800 = 0. Calculate f.\nAnswer: -9350, 1182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741042 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 784137.1 meters in nanometers?\nAnswer: 784137100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.467 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-27)\/3 - (168 - -1). Let p = l - -100. Which is smaller: -66 or p?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2*3\/(-12)). Suppose -n - r = 3*n - 3*x, -2*x = -3*n - 3. Let g be ((-18)\/45)\/((-2)\/20). Put n, -2, g in decreasing order.\nAnswer: g, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255379548 divided by 1\nAnswer: 255379548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6 - 0)*(2 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 - 9 = 0. Let s = 0 - -1. What is the greatest common factor of g and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-14)\/(-3). Suppose 0 = 3*i + o - 8, -i + o + q = -o. Let a(z) be the third derivative of -z**5\/60 + 2*z**3\/3 + 2*z**2. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from rgggxgcgcxgrc?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-18) - (-589)\/2. Let y = -579\/2 + n. Calculate the common denominator of -67\/20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-29))\/(18\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 8*x = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348855 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 28 = g - 113, 94 = 2*d - g. What is the remainder when d is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 4*a**2 + 2*a**2)*(3 + 1 + 0)*(7 + 0 + 2).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 306*w**2 - 824*w - 65655. Calculate i(-304).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.36208 millimeters in meters?\nAnswer: 0.01836208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (208\/(-24) - -8)\/(2\/(-9)). What is the first derivative of -3*z + 761 + f*z - 793 + 9*z**3 wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - -291231?\nAnswer: 291271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 2894?\nAnswer: 2894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -4 - (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75226\/12 + 35\/(-42). Suppose 13*p - 752 - q = 0. Is p a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b + 54. Let i = 89 + b. Suppose 3*u - y = 6*u - 54, -5*u = -4*y - i. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849135531.\nAnswer: 11, 37, 7000333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 569754311 to the power of 1\/3, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 18*v**2 + 9*v**2 + 9*v**2. Let h(x) = 7*x**2. Determine h(c(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -20. Suppose 3*s = -0*j + 3*j + 87, r*s - 63 = 3*j. Let g = 33 + s. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -4, 4.\nAnswer: -4, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2075 - 863. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 10*j - 26 + 7*j - 7. Let m(c) = c**3 - 3*c**2 - 12*c + 4. Let h be m(5). Let n be a(h). What is the greatest common divisor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27807322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**2 - 1. Let y(n) be the second derivative of n**5\/60 + 89*n**3\/6 + 53*n. Let o(k) be the second derivative of y(k). Calculate h(o(z)).\nAnswer: 36*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 4 + 2*q + 0 + 6. Let w be y(6). Solve 1 = -d - 2*k - 2, w*k + 7 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = 18. Is 2\/6 - 798\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9 - 38\/(-285)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 15. Let p be v(6). Calculate the greatest common divisor of p and 915.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 4, t: 5}. What is prob of sequence et?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**2 - 18*f**2 - 14*f**2)*(1 - 2 - 1)*(10 - 7*f - 10) - 5*f**3 + 0*f**3 + 3*f**3.\nAnswer: -268*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b378a (base 13) to base 8\nAnswer: 1165013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*z = 32026 - 5234 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.804252mg to kilograms.\nAnswer: 0.000002804252","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 5*a - 93 = 0. Let v be 3\/12 + (-106)\/8. Let y = a - v. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = d + 1, -2*b + 7 = 2*d - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 20*c**2 + 2*c - 21. Let o be y(20). Suppose -o = -14*h - 5*h. Round h to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-6) + 20\/4 + -3. Solve 5*j - 20 = j, -b*y - 2*j = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 101375*x**2 + 11*x + 25. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6728837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 256, 292, 330?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*p**4 + 207046*p**3 - 34292*p**2 + 31*p - 1 wrt p?\nAnswer: 432*p + 1242276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 23*w**2 - 16*w**2 to the form a*w + t + h*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.2. Let k = -284 + 1985\/7. Put b, k, 3 in decreasing order.\nAnswer: 3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000622334 rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -30*l**3 + 5*l. Let h(r) = 10*r**3 - 2*r. Let n(m) = -3*g(m) - 10*h(m). Find the second derivative of n(v) wrt v.\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 5060?\nAnswer: 5060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*f = 125*f - 10. What is the nearest to f in -1\/4, -0.1, -41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401 (base 5) to base 13.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1112, -1114, -1118, -1124?\n\"Answer: -b**2 + b - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/39 - (245\/182 + -5 + 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3036 * -4\nAnswer: 12144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 16 = -2*t, -3*t + 0*l - 2 = -l. Let b(x) = 10*x**2 + 4*x + 7. What is the units digit of b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28 = -17. Let k(d) = 3 - 2 - 3 - 4 - 2*d. Let b be k(-4). Solve l - 5 = -b*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 - 10 = 0, -105 = -3*y + 5*f. What is the highest common factor of y and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72))\/sqrt(6))\/(5*sqrt(20)\/sqrt(5) - sqrt(4)) + ((sqrt(75) + -1)*4 - (sqrt(75) + 1 + -2))**2.\nAnswer: -181*sqrt(3)\/2 + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4577.114ml?\nAnswer: 4.577114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 522*z**3 - 72*z**2 + 72*z + 1. What is the hundreds digit of m(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/194805 and -38\/238095?\nAnswer: 2142855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -2, -1\/4, 318, -20, 2, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73 - -15 - (-11 + 32 + 12 + -16)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232690.83 months in years?\nAnswer: 19390.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 12. Is 15 a factor of 4 - (1 - (3 + b))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-15 - -16) + 16) - 26?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**4\/8 + 7*z**2 + 105. Let f(h) = -29*h**2 + 20*h. Determine f(s(x)).\nAnswer: -261*x**2 + 60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 282*t - 2824. What is y(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3575.87049 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 44080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2 + 2)*(-2*g + 0*g - 3*g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or 68\/13?\nAnswer: 68\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51842.64 and 188888.79.\nAnswer: 240731.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 24*h**2 - 11 - 10 in the form q + j*h + v*h**2 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 94346.48 kilometers in millimeters?\nAnswer: 94346480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-284)\/(-284)*(-10)\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17929 > 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-4)\/(-16))\/1)\/(330\/(-720)). Let c = -384\/7 - -55. What is the closest to 0.2 in c, -3, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a - 1. Let x(q) = -q**2 + 28*q - 4. Let d(i) = 9*r(i) - 2*x(i). Let n be d(-4). Solve g**3 + 6*g**3 - 3*g - 4*g**n = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2*-2)\/(54340\/(-285285))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9276857 to the nearest integer?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537966 is divided by 21068.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = 519704 - 1874200. What are the prime factors of j?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2835 = 42*l - 1617. Let b(c) = 5*c**2 + 8*c - 28. Let h be b(-6). Are l and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/3 - 71*j**2\/2 - 4443*j. Let o(x) = -x - 24. Give 3*n(y) - 8*o(y).\nAnswer: 2*y - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 43*k**2 - 47*k + 45. Let g(o) = 20*o**2 - 23*o + 23. Let j(q) = 13*g(q) - 6*s(q). Calculate the remainder when 74 is divided by j(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165560.\nAnswer: 2, 5, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -57656755 divided by 11531351\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2060978404\/7341 + -280749. What is the common denominator of 145\/12 and t?\nAnswer: 29364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 72 - (43 + -110).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 11*q**2 - 17*q - 9. Let u be t(9). Calculate the common denominator of 109\/10 and 225\/168 + 0 + u.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + 6*y - 5. Let v be (-6)\/(-15) - 28\/(-5). Let r(g) = g**3 - 5*g**2 - 7*g - 1. Let x be r(v). What are the prime factors of f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 9*r - 13. Let v be b(-7). Let c(l) be the first derivative of v + l**2 - 2\/3*l**3 - l. Determine c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 1, h: 1, o: 6, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t**2 - 118*t**2 - 1 + 126*t**2 + 1 + 8*t.\nAnswer: 83*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 911, 1210, 1495, 1760, 1999, 2206?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**2 - 20*s + 130 - 130.\nAnswer: -49*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -375954 < -4887410\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24513*q - 269636. What is p(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 44*n**4 - 2*n**3 + 2*n + 42*n**4 - 4*n to h*n**4 + t*n**3 + g*n + a*n**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s + 38. Let w be m(-9). Let 18*b**3 - 4*b - 353*b**2 + 343*b**w + 3*b**4 - 14*b**5 + 7*b**4 = 0. What is b?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/246*14271\/(-142).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162531 by 162531.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l. Let n be t(-2). Suppose 2*b - 7 - 1 = n. Solve 0 = -b*a - 2 - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 2, l: 3, e: 5}. Give prob of sequence beeb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-11 + 1 + 5)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 + 4 - 9 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 70187\nAnswer: -70189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -4. Which is the second smallest value? (a) 0 (b) o (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 c when three letters picked without replacement from czcmrlzmommz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 858771752 to the power of 1\/2, to the nearest integer?\nAnswer: 29305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(320).\nAnswer: -4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 4. Let h be x(-4). Suppose 3*m + 3 = 0, m - 5 = -2*u - h*m. Let y(a) = -a**2 + 8*a - 7. Give y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and 159\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*u - 23*u - 19*u - 8*u + 23)*(2*u**3 - 5*u**3 + 0*u**3) to k*u + x + n*u**3 + d*u**4 + t*u**2 and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g + 372*g = 13771 - 2782 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -4.4. Let y = 0.2 + -0.7. Let s = 1.4 + -1.6. Which is the closest to s? (a) 1 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -1\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 27. Let t be 1*8 - (17 + -3)\/7. Let z(i) = -i**2 - 28. Let h(r) = t*n(r) - 5*z(r). Differentiate h(o) with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.9 (b) -19 (c) 5\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52\/7 in 0.07, -6, 2, -0.1, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:18 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 + 15*y + 68. Let q be c(-6). What is the second smallest value in 2, 5, q, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-64)*-3*6\/(-45)*-55\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -16*i**3 + 7*i**2 - 5*i - 1. Let x be m(4). Let q = x - -7565\/8. Let z = -6769\/6 - -10114\/9. Calculate the common denominator of z and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 444 + -416. Find the third derivative of 78*x**5 + 7*x**4 - 7*x**4 - 195*x**5 + o*x**2 wrt x.\nAnswer: -7020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -2.3?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1013*r**6 + 124*r**2 - 2*r wrt r?\nAnswer: 121560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/5, -198?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let c = y + -1. Let z = 4 + c. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121302 (base 6) to base 14\nAnswer: -3c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4045 - 5?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/878991 and -39\/140129?\nAnswer: 9668901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129562532 by -8756.\nAnswer: 14797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -2\/15 (c) -2\/13 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 9*h + 1365876 - 1365949. Let f(g) = 2*g. Give f(b(u)).\nAnswer: 26*u - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 2. Let d(g) = 2*g**2 - 31*g - 18. Let j(u) = -10*c(u) - 2*d(u). Let j(p) = 0. Calculate p.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59178 and 1656984.\nAnswer: 1656984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (-79 - -88).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 43375392*s - 86750768.\nAnswer: -4*(s + 2)*(s + 10843846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65, -117, -275, -593, -1125?\n\"Answer: -9*c**3 + c**2 + 8*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Suppose 12 = 3*q + 2*n, -1 = x*q - 3*n + 4. Solve q*s - 3 + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 237840722.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.800701t to milligrams.\nAnswer: 1800701000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3, 4.\nAnswer: -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3154 - 120061?\nAnswer: -123245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2738602\/11 or 248963?\nAnswer: 248963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 4*m**2 + 4*m**2)*(-1 + 0 + 2)*(17 + 8 + 2*m - 136).\nAnswer: -2*m**4 + 111*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6897 and 1331.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/5 + x = 0. Calculate x.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4\/3 + 32*c**3\/3 - 8*c**2 - 32*c\/3 + 28\/3 = 0. Calculate c.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - k + 4*k - 13, 3*v - k = 3. What is the greatest common divisor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/5)\/((-4)\/(-370)). Suppose 12*l - m = -4. What is the remainder when 45 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 2*b - 24029 + 21860 in the form d*b + z and give z.\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1013 - -1373. Calculate the remainder when r is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*w - 5*w - 133, 2*w + 88 = 4*i. Let o = w - -91. Let z = 76 - o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = 5*g - 49126. List the prime factors of g.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4248000.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125*m - 3*m**4 + 178*m**5 - 103*m**2 - 320*m**5 + 101*m**2 wrt m.\nAnswer: -8520*m**2 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/(-10))\/((-372)\/(-775)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 966863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*l = -0*l, 0 = 2*g + 2*l. Suppose 0 = 3*c + 5*f - 16, -2*f + g*f = -5*c + 6. What is the remainder when -10*c*17\/(-4) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o**3 + 3*o**2 + o - 3. What is the tens digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-330)\/(-4) + 51\/34 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 1828 + 2312 = 0. Suppose 26*p - 3*p - q = 0. Let i(f) = f + 4*f**2 + 5*f**2 + 2*f**3 - 3*f**3. Determine i(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 1. Calculate the remainder when 25 is divided by r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 701761.68?\nAnswer: 701756.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6634*p + 656761. Give w(99).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*f = 290*f - 84 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -5 - -32) + 4 + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-93662\nAnswer: 17795.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 p when three letters picked without replacement from {q: 4, b: 6, p: 7}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243949\/187096 + -1\/3341. Let p be ((-6)\/2)\/6 + (-13905)\/2. Let h = 97407\/14 + p. Find the common denominator of h and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68924457 by -57581.\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 350550066 divided by -6\nAnswer: -58425011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.138 - 0.1379839. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = t - 2*t + 42, 5*t = c - 14. Suppose -3*g + 4*n = -22, -2*g + 5*n - 3*n = -c. Suppose 0 = 10*q - g*q - 388. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/7452 and 3\/8?\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 + 10*y**2 + 11*y**2 + 18*y**2 + 20*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-1 + 0)**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6187?\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19877, 19665, 19269, 18689?\n\"Answer: -92*n**2 + 64*n + 19905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710091326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222622 + 26?\nAnswer: 222650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -15\/4 (b) 5 (c) 0.5 (d) -222 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 46941 + 47067 = 0. Solve 2*b - 3*i - p - 1 = 0, 2 = b - 3*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 16*r + 6. Let v be f(-16). Sort -3, v, 3 in descending order.\nAnswer: v, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199\/5, 73, -1, 4\/5, 1\/4, 649 in ascending order.\nAnswer: -1, 1\/4, 4\/5, 199\/5, 73, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -426 bigger than 4210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78883121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 716927 (base 11) to base 14\nAnswer: 21d6d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (10 - 2) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (132\/(-55))\/((-1)\/(-10)*-2). Let a be (-1 + -14)*2\/5. Let o(u) = -u**3 - 6*u**2 - 2*u. Let w be o(a). Calculate the highest common factor of n and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/14)\/((-95)\/285). Factor 4\/7*n - 2\/7 + o*n**2.\nAnswer: 2*(n + 1)*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3465)\/175)\/(-11))\/(72\/120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -22.3, 1, 0.5, -1, 3 in increasing order.\nAnswer: -22.3, -11, -1, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-113 - -103) + 0 + -6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.11999 years in decades?\nAnswer: 2.211999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(1 - 1 - 2*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -24582156 and -24582154 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -16. Let l(o) = -10*o - 3. Does 10 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 27*p**2 + 37*p**2 - 63*p**2 - 5 - 4*p. Calculate d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2200497 and 776646.\nAnswer: 13202982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let b(l) = -l. Let c(r) = 2*b(r) - 3*j(r). Let z(v) be the third derivative of -7*v**4\/12 + v**2. Determine z(c(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20*r**(-9\/2))\/(r**(1\/2)*r**4) assuming r is positive.\nAnswer: r**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*(u\/((u\/u**(-32))\/u)*u)\/u*u*u)\/u*u\/(u\/u**8)*(u\/(u**(15\/8)*u))**(-22) assuming u is positive.\nAnswer: u**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 4. Let v = 107 + -107. Suppose -4*r + 5*b + 30 = v, 4*b = -3*r - 2*r + 17. What is u(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11206 + 19976 = 3881*p + 14127 - 21755 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 5 (b) 0.06 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzcwzzzwzzzzz. Give prob of sequence cd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1344 (base 6) to base 13\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 58461437 and 58461437 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 24. Suppose 17*b - 5 + 124 = 0. Let l(p) = -11*p**2 + 49. Let t(w) = b*c(w) - 3*l(w). Differentiate t(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**5 - 20*n**4 + 10*n**3 + 20*n**2 - 15*n = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 108677073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 205, 203, 197, 187, 173?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 31, 46, 77, 130, 211, 326, 481?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.196 - 650?\nAnswer: -643.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6449 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*i**2*k**4*u - 6*i**2*k**3 - i**2*k*u + i*k**2*u + 101*k*u wrt k?\nAnswer: 1416*i**2*k*u - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 21*q + 84. Let z be b(-16). Let c(n) be the first derivative of 3 + n + 3\/4*n**z + 0*n**3 + 0*n**2. Differentiate c(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 144 = -16*z. What is the remainder when 142 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Let j(y) = -5*y**2 + 10*y - 2. Let r(a) = a**2 - a. Let i(t) = -j(t) - 4*r(t). Let q be i(u). Solve 1 = q*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - 2*l - 7. Let q be 8\/(-1)*(-4 - -5). Let f be m(q). Suppose 5*g + 3*r + f = 209, 5*g = -r + 190. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93781087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 - (-38)\/16. Is w less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from qqwwwawwawsqaq.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*w**3*x**3*z**3 + 3*w**3*x**2*z**3 + 3*w**3*x - 2*w**3*z**2 - 79*w**2*x**3*z**3 + 6*w*x**2*z**2 - 2*x**2*z wrt x?\nAnswer: -102*w**3*z**3 - 474*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24283, 48257, 71919, 95269?\nAnswer: 118307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - g = -6, 6 = 2*c + 4*g - 10. Let i = 8 - c. Sort 2, 19, i in increasing order.\nAnswer: 2, i, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4672 and 292?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/1 - 8)*62\/(-4). Suppose -4*g = -g - h. Calculate the remainder when g is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5358563 and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119396 is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 8 + (1 + -3 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9046843*w - 14946452.\nAnswer: 9046843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5451207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.96777l to millilitres.\nAnswer: 39967.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 9. Calculate the greatest common factor of 57 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 3*x**2 - 4. Let c be s(2). Suppose -4*a + 3*m + 4564 = c, -13*m - 2282 = -2*a - 14*m. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -645 * 0.091\nAnswer: -58.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b70 (base 13) in base 7?\nAnswer: -541464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -259*l + 223*l - 108 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 5. Let r(k) = 11*k - 11. Let j(h) = -4*r(h) - 9*v(h). What is j(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252))**2 + 2*(0 + sqrt(7))**2.\nAnswer: 24*sqrt(7) + 1023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 4*p - 4*p)*(-5*p + 19*p + 6*p)*(2 + 0 + 0).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 276858764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/14 - 182\/(-1). Let x = 180 - b. Let m(n) = n**3 + n**2 - n + 1. Let l(w) = 2*w**3 - 6*w**2 - 10*w + 2. Let c(v) = -l(v) + 3*m(v). Give c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - o = o, b = -3*o + 8. Is b\/13 - (-15477)\/39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1676 and 25972972?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14605569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by 3\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 158814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 2*y**2 - y - 2. Let v(w) = -896*w**3 + 281*w**2 - 6*w - 12. Let t(g) = -6*n(g) + v(g). What is the third derivative of t(s) wrt s?\nAnswer: -5448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 15. Solve 4*l + c + 0*c = 3, 0 = 5*l + 4*c - g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0551? (a) -2 (b) 0.4 (c) -1 (d) 13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136557535279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 651 + 1?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9616.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3849 (base 15) to base 16.\nAnswer: 2eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowrrwuwmuvu. Give prob of picking 2 r, 1 m, and 1 v.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90*(-6)\/36)\/((-240)\/(-60)*117\/(-12))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + 1001013?\nAnswer: 1001310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 30. Let z be j(-10). Suppose -3*f + 186 = -z*f. Find the third derivative of f*b**4 - 9*b**2 + 42*b**2 - 84*b**4 wrt b.\nAnswer: -528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4052932245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.526 + 0.074. Let k = 1.6 - s. Let i = 5.7 + k. What is the second smallest value in 3, i, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-2\/3)\/i)\/i)**34)**(5\/13)*((i**(3\/7)*i*i)\/i*i**(-3\/2))\/(i*i**(-2\/7))**43 assuming i is positive.\nAnswer: i**(-28709\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**2\/2 - f + 183. Let z = 50 - 54. What is x(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*-6*-2*sqrt(350))\/(1*sqrt(1152) - sqrt(288)*5).\nAnswer: -40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48541023977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -14 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -324*y**2 + 215*y - 6. Let q(m) = 64*m**2 - 43*m + 1. Let k(f) = 2*h(f) + 11*q(f). Find the second derivative of k(c) wrt c.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429\/5510 - 68\/95. Let k = -308583\/8 + 1059505\/24. Let q = -5595 + k. Calculate the common denominator of q and a.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-40)\/(-5))*(-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 3, o: 7, h: 2, i: 5}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 20*t - 136. Let l be p(14). What is the tens digit of l\/(25\/(-35) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 5. Let n(y) = -y + 10. Let p(j) = 3*n(j) + 7*z(j). Is 9 a factor of p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l)**0\/((l\/(l**(2\/3)\/l))\/l**9))**(1\/50) assuming l is positive.\nAnswer: l**(23\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18074600?\nAnswer: 2, 5, 90373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**0*w))**(-2)\/(w**4*w\/(w*w**(2\/5))) assuming w is positive.\nAnswer: w**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 10. Let t(l) be the first derivative of -33*l**2\/2 + 1276. Determine f(t(g)).\nAnswer: -66*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/336 - 7*s**6\/240 - s**5\/20 + 7*s**2. Let b(d) be the third derivative of x(d). Differentiate b(g) with respect to g.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6600 divided by 440?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 1)*(-101*n + 101*n - 51*n**2) as h + r*n + y*n**2 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 3 - 3)*(-3 + 2 + 2)*(2 - 1 - 6 + (1 - 2 + 3)*(0 + 2 - 4))*(24 - 29 + 17).\nAnswer: -108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 - 43 - -40 - -36\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:14 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 6, -26, -4, -10 in increasing order.\nAnswer: -26, -10, -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 - 160. Suppose -3*k + v*o - 392 = -2153, -4*o = 4*k - 2376. Is k a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -803\/10?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 279*f - 31. Let r(v) = 56*v - 6. Give 31*r(c) - 6*y(c).\nAnswer: 62*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171 - -143) + 27 + -2 + (-6 - 104) + -2?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:06 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymom when four letters picked without replacement from {y: 7, c: 2, o: 7, m: 2, h: 1}.\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*i**2 - 641*i - 1809*i - 24*i**2 + 37*i**2 - 52*i**2 wrt i.\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5 - (356 - 370).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 15, 22, 31, 42?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 + -1.3. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*(37553\/1034 - 36)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 117 = 3*k - 119, 38*n - 150 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55530520889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 20.7, 3, -4, 0.09.\nAnswer: -4, -1, 0.09, 2, 3, 20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60166, 120353, 180540, 240727?\nAnswer: 300914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*(p*p**(1\/2))\/p*p))**(-1))**(1\/4))**41 assuming p is positive.\nAnswer: p**(205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/99 + (361\/11 - 2). Let b = 32 - k. Put 3, b, -4, -5 in descending order.\nAnswer: 3, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4371999 + -4371998.92100108. Let w = t - 0.079. Round w to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3*x**2 + 82*v**3 + 139*v**2*x**2 + x wrt x.\nAnswer: 6*v**3 + 278*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124731, -124721, -124707, -124689, -124667?\n\"Answer: 2*l**2 + 4*l - 124737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (-11 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, i: 7}. Give prob of sequence zziz.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1331) + -4)*-5)**2.\nAnswer: -1100*sqrt(11) + 33375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -3 - (-627 - -698)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(20) - sqrt(180)*-1) + 3.\nAnswer: 3 + 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*h - 21 - 5, 0 = 2*h + 3*s - 26. Calculate the least common multiple of (2\/4)\/(3\/36) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17263 (base 12) to base 15.\nAnswer: 9c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -3 in decreasing order.\nAnswer: 5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097395068 to 6 dps.\nAnswer: 0.000974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2 - 83861900*r - 879102283951250 = 0.\nAnswer: -20965475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + t**2)*(6*t**2 - 3*t**2 + t**2) - 4*t**4 + 4*t**4 - 3*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 172*d**2 + 446*d + 24. List the prime factors of j(-11).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475418350?\nAnswer: 2, 5, 11, 419, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*x - 66*x - 16. What is the first derivative of -17*j**2 - 8*j**2 - 31 - 27*j**x + 13*j**2 + 2*j wrt j?\nAnswer: -78*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 14*g + 18. Determine c(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 722 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5 - 0)*(22 - 27). Let r(j) = j + 1. Let b(m) = -2. What is v*r(g) - 2*b(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - q - 18, -127*x + 129*x + 4*q - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29*d + 3796. Determine l(110).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/2, -1712, 0, 0.4 in ascending order.\nAnswer: -1712, 0, 0.4, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/163 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435157*q**2 - 870250*q**2 + 435100*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62882505 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/48 - (-2370)\/24. Let h be (0\/(-1) + -1)*-62. Let c = a - h. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 8*m**2 + 4*m. Give l(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1\/120*i**6 + 4\/3*i**3 + 0*i - i**2 + 0 - 1\/4*i**4 - 7\/60*i**5. Calculate the least common multiple of y(-6) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1816105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052214.\nAnswer: 2, 29, 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 20135000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5418.8 - -2503.5. Round w to the nearest ten.\nAnswer: -2920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*c - 15, -3*l + 4*c - 12 = -0*c. Let m = 22 + -14. Suppose -1 = 3*g - z + 1, 0 = 4*z - m. Solve g = -4*s - l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -37*f**4\/3 + 133*f**3\/6 + f**2 - 279*f. What is the first derivative of x(c) wrt c?\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7907*d + 9620*d - 48267*d.\nAnswer: -46554*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3294053 divided by -20?\nAnswer: 3294053\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-4 - (sqrt(96)\/sqrt(4))\/sqrt(12).\nAnswer: -29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -101520.\nAnswer: 30456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345118071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by 66\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*sqrt(9)\/(sqrt(6)\/sqrt(2)))**2 + ((sqrt(147) - (sqrt(147) + 0 + sqrt(147)))*3 + sqrt(147))**2 + 5.\nAnswer: 20*sqrt(3) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365382 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*m + 3*k, -2*m + 5 = k + 22 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18200, 36445, 54690, 72935?\nAnswer: 91180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3, 3*t = -3*f + 7*f - 23. Suppose -f*l + 4*l = -48. Which is the third smallest value? (a) l (b) -3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -11*c + 16*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*n - 422 - 372 = 0, -4*n = 2*i - 1582. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/8, 0, -3, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*t**2 + 5)*(-9 - 16 - 13 + 0).\nAnswer: -190*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107682004 to the power of 1\/2, to the nearest integer?\nAnswer: 10377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*a + 1864 = 0, -4*k = -4*a - 535 - 1345. Let j = 115 - k. What is j rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 + 18\/3. Suppose 2 = -2*z + r. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41280 divided by -5?\nAnswer: -8256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v - 134*v = 2392 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = -y, -3*g + y = g + 20. Let p = g + 7. Let c(s) = 34*s**2 - 8*s + 7. Is c(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 3 + (-12 - (10 - 16)) - 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a6978 - a?\nAnswer: 2a696a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 30*l**2 - 9*l + 8. Let d be g(-3). Calculate the highest common divisor of 55 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 56. Let g = w + 7. Is 6 a factor of 2 + g\/(14\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 312 + 360. Suppose -82 = x*k - 114*k. Calculate the remainder when k is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11727 is divided by 489.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20\/3, -2\/11, 2\/9?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/101360 and -89\/922376.\nAnswer: 9223760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -611\/83 or -6?\nAnswer: -611\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*w + 36 = 0, 2*i = 10*w + 13*w - 84 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -128863409.97 - 0\nAnswer: -128863409.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 2 + 6*v**2 - 75*v + 2*v**2 - 7*v**2 in the form s*v + h + l*v**2 and give s.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 4, d: 1, x: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5941134ml in litres?\nAnswer: 0.0005941134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/4)\/c)\/(c*((c*(c\/((c\/c**0)\/c))\/c)\/c)\/c))**33)**1 assuming c is positive.\nAnswer: c**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, a: 1, n: 1, g: 5, k: 1, z: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 69, -2\/11, 3\/7, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-11130))\/((-170)\/(-255))?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -63.99999865. Round c to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6230, 49552, 167142, 396134, 773662, 1336860?\nAnswer: 2122862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1295 + 2*u + 3477*u**4 - 19*u**2 - 651 - 651 wrt u?\nAnswer: 83448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1728, -3102, -4488, -5892, -7320?\nAnswer: -8778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 * -449.68\nAnswer: 4002.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/50 + (-54)\/12*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 2229602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31991078*l**2 + 31991078*l**2 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose -2*t + 3*t = -4. Suppose 0 = a - 2 - 0. Sort l, a, t.\nAnswer: t, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.2588 - -0.9?\nAnswer: -138.3588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*9\/(-1080)*18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (783\/3306)\/((-36)\/(-16))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/o**3)\/o*o**(1\/7)*o)\/(o**(2\/9))**36)**35 assuming o is positive.\nAnswer: o**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.6 - -20. Which is the nearest to 0.2? (a) d (b) 0.11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j**2 + 2286*j + 724. What is s(-108)?\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -184*i**5 + 692*i - 1152. Differentiate m(q) with respect to q.\nAnswer: -3680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102758485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 - 5*z**2 + 26*z - 37. Let c be i(5). Let a = c + 912. Solve -m - 37 = 5*d - 5*m, -d - 20 = -a*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 17*m + 4. Let s be x(0). Solve 10 = -s*q - 2*t + 2, -t = -3*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*5\/2*(136\/85)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, -2, -3, -39, 0 in ascending order.\nAnswer: -39, -25, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.325 - -0.006. Round l to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7401, -29820, -67189, -119514, -186801, -269056?\nAnswer: -366285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/1*(-15)\/225*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 1, u: 1}. Give prob of picking 1 l, 1 u, and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 24. Suppose -3*m + x*m - 105600 = 0. Round m to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 - 2*x**2)*(2*x + 0 + 0) + 4*x**3 + 13*x**3 - 6*x**3 + 0*x**3 + x**3 - 18*x**3 + 3*x**3 - 2*x**3 + 0*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*3.2\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) - (-279)\/15. What is the greatest common factor of 38 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -122.9378, 0, -5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21504 and 3773952?\nAnswer: 7547904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a)*(7*a - 2*a - a)*(-3*a**2 + 0*a**2 + 0*a**2 + (-a + 2*a - 2*a)*(3 + 2*a - 3)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (6 + -3)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(192) + 1)*1)**2*-1.\nAnswer: -201 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + -2 - 84. What is l rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 1163495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65585204 and 5004.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(33\/7084). Calculate the common denominator of 19\/24 and d\/138 - (-8)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 24*l + 23. Let d(y) = -y**2 + 1. Let f(i) = c(i) - 2*d(i). Calculate the smallest common multiple of f(24) and 91.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w*w*w)**(-4\/3)\/(((w\/w**(-7))\/w)\/(w*w*w**(-4\/7)*w*w*w)) assuming w is positive.\nAnswer: w**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273*w + 10037*w - 7028*w + 21516*w.\nAnswer: 23252*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 20*v + 12. What is t(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55744*z - 91246.\nAnswer: -55744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - -2)\/2)\/(-4). Sort -14, g, 5.\nAnswer: -14, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209292323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (19 - 30) + (-17 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:17 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gagm when four letters picked without replacement from ggam.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*l - 6, 3*l = -4*o - 0*l + 16. Sort o, 2\/13, 2\/3, 2 in increasing order.\nAnswer: 2\/13, 2\/3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 10*p**2 - 5*p - 10. What is the least common multiple of q(4) and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.63 + -8.07. Let f = q - -5.7. What is the closest to 1\/2 in 0, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -74, -89, -104, -119, -134?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004738609 to five decimal places.\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56387280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 y when three letters picked without replacement from {a: 2, y: 1, v: 1, u: 2, h: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74725 and 5110?\nAnswer: 10909850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71\/63 + -11\/7. Let k = d - -37\/63. Sort k, 3, 5.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 52 - 33. Let y(a) = -a**2 + 2*a. Let z be y(2). Solve -j*t + 1 - 6 = z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11497992 + (36\/(-72) - 30\/4). Round j to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*b = 8*l - 29, 4*l + 4*b + 4 = 0. Let d(k) = -3*k. Let o(h) = 4*h. Give l*d(j) + 4*o(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 180984*(0 + 2\/3). Let k = 50654 - t. What is k rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320157190?\nAnswer: 2, 5, 5519, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, 702, 3, 5 in increasing order.\nAnswer: 0, 3, 5, 31, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 607 and 179?\nAnswer: 108653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 - 2348.\nAnswer: -2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-52) + 4)\/((-18)\/12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142795039.\nAnswer: 1142795039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74951 is divided by 3404?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 19*s**2 - 17*s + 20. Calculate the remainder when j(-18) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-14)\/(-21). Let h be 2\/4*(j - -3). Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/((-17)\/(204\/36)))\/(4\/27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367887 divided by -2?\nAnswer: 2367887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n**3 - 42*n**2 + 20*n + 9. Is 18 a factor of t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/(-21))\/(2\/9). Suppose -c - 2 = w - t*c, -3*c = -w. Factor -36*o - 18*o**2 + w - 27 - 5*o**3 + 0*o**3 + 2*o**3.\nAnswer: -3*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 + 20*j**3 + 6401757 - 6401757 + j**2 - 2*j as f*j**3 + n*j**4 + b*j**2 + i + x*j and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -31. Suppose 0 = -5*p + 12*p - 91. Let g = u - p. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 7, s: 1}. Give prob of sequence hps.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20133013 (base 4) in base 9?\nAnswer: -52611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8863, -8853, -8843, -8833, -8823, -8813?\n\"Answer: 10*x - 8873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from pyyypypyyy.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1412615 (base 7) to base 16\nAnswer: -2df6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -5.67 (b) -0.5 (c) -0.06 (d) 74 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Suppose -n - n = 6. Let r be (-22)\/n + (-6)\/(-9). Let q(x) = 8*x**2 - 2*x**2 - r*x + 8*x. Give k(q(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 36. Let b = x + 0. Let y(j) = -j**3 + 5*j**2 + 8*j + 4. What is the least common multiple of b and y(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + s**2)*(-700 + 593 - 402) in the form m*s + k*s**2 + h and give k.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 20 + o - 11 - 46. Let x be d(12). What is the first derivative of 8 + 7 - 4 + x*w**2 wrt w?\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**4\/6 - m**2. Let o be q(-1). Suppose o*y + 54 - 178 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2290*a**2 - 10*a + 33*a - 15*a - 8*a.\nAnswer: -2290*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2329 and 1224?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 37229 + 37227. What is the closest to -8\/15 in 15, -5, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arz when three letters picked without replacement from reqaz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/99? (a) -3\/2 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 3*l**3 - 243 + 0*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -974047.\nAnswer: -5\/974047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -c. Let g be (96\/(-30))\/(2\/30*-2). Let y = g + -25. Put y, c, 2 in decreasing order.\nAnswer: 2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1464 + 1869 = 369*d - 1095 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.328 + 38.438. Let x = -25 + 15. Which is the closest to x? (a) v (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-225)\/120).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103 and 1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3650 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25559, -102354, -230349, -409514, -639819, -921234?\nAnswer: -1253729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 25, 1\/9, -3, 0.06 in decreasing order.\nAnswer: 25, 2\/13, 1\/9, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4676713, -4676711, -4676709, -4676707, -4676705, -4676703?\nAnswer: -4676701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t. Let l(u) = -52*u**2 - 9*u + 9. Let x(i) = 13*i**2 + 2*i - 2. Let g(m) = 2*l(m) + 9*x(m). Give w(g(b)).\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14918679, -14918702, -14918739, -14918790?\n\"Answer: -7*r**2 - 2*r - 14918670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q - 7. Let r be x(-9). Let u = 1993\/15 + r. Let i = -8721 + 8720. Which is the third biggest value? (a) i (b) 0.5 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 divided by -5.\nAnswer: 391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 3, x: 4, c: 1, b: 2, t: 3}. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 540472 - 4363521\/8. Suppose -2*r - 2129 = 7821. Let g = r - t. What is the common denominator of g and -29\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*x + (-2*x + 0*x + 5*x)*(4 - 1 - 1) + 4 + 2*x - 4)*(14*x - 29*x - 27*x)*(-3*x + 3*x - x**2).\nAnswer: 420*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -11, -23, -57, -119, -215?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 237. Solve -4 = -2*y - 2*y - j*u, 5*y + 35 = 3*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4278.07828 to the nearest integer.\nAnswer: -4278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*t**3 + 15*t**3 - 22*t**3.\nAnswer: 189*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n - 29 = 4*l, -2*l - 13 = -n. Let r = -7 - l. Solve 5*f + 15 = 4*w, 4*f + 1 - 5 = r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 71. What is the third derivative of 101*w**2 - w**i + 60*w**2 - 39*w**5 - 69*w**2 wrt w?\nAnswer: -2340*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3953 + -2413. Let t = o - 949. List the prime factors of t.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/1395 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(16) + (sqrt(16)*-2 + sqrt(16) - sqrt(16))*-2))\/(((sqrt(200) - sqrt(8))*2 + sqrt(8))*6).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f + 1. Let q be k(-2). Let p(x) = 3*x - 31. Let n(z) = -2*z + 21. Let a(c) = -7*n(c) - 5*p(c). Let w be a(q). Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399 and 266?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 18 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6904000 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 14390*d**2 - 28795*d - 14400 = 0.\nAnswer: -1, 2880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 + 337080*b**2 + 15176700*b = 0?\nAnswer: -45, 0, 84315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47646421.61 rounded to the nearest ten thousand?\nAnswer: -47650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 2. Let r(x) = 8*x + 46. Let f be r(-5). Let y be t(f). Solve -y*b + 17 = 3*l + 1, 4*l = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55847 + 18565. Suppose 2*s - a = -196002, s + l + 23586 = -a. Round s to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -0*n. Suppose n*t = 4*t. Let q(w) = w + 11. Does 11 divide q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11489 - -11496. Solve -k = 5*u - 21, 3*k + v*u - 11 = 5*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 70, 26, 5.\nAnswer: 0, 5, 12, 26, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-4)\/(-3))\/(78\/(-234)). Suppose -4*f + 33 = -0*l - 5*l, 0 = -4*f + v*l + 28. Calculate the remainder when 12 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7001*m - 378*m = -1604*m - 707522 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 564.6935nm?\nAnswer: 0.0000000005646935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/3 - 14573*y**2\/3 - 14570*y\/3 + 29144\/3 = 0.\nAnswer: -14572, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 2*t + 2*t**2 - 7*t + 3*t - 6.\nAnswer: 7*t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 672084765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l*l**(4\/3)))**(-1)*(l**(1\/2))**(-9\/8)\/((l**(1\/2)\/l)\/l**1) assuming l is positive.\nAnswer: l**(-83\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/388990 and 16\/9?\nAnswer: 3500910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + 50. Suppose 2*l - 50 = -5*j, -l - l = -3*j - r. Let v be 4\/14 + 4\/l. Which is the second smallest value? (a) 2 (b) v (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2, 4*m + 2*q - 22 = -0. Let y(b) = b**2 + 39*b + 366. Let o be y(-15). Is o less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37 - 1952\/(-56))\/(10\/(-4)). Factor 0 + 2\/7*i**3 + 4\/7*i + b*i**2.\nAnswer: 2*i*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c**(-1))*c)\/c)**(6\/23)\/(c**(-1)*c)**(1\/21) assuming c is positive.\nAnswer: c**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2349484064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 286491792 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-9 - -2))\/((-6)\/1). What is the second biggest value in -0.6, 4, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1730, -7010, -15878, -28334, -44378, -64010, -87230?\n\"Answer: -1794*g**2 + 102*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001095 rounded to seven decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 17. Let y be -3*(1 - g\/(-12)). Solve 2*h - h = -y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(21)\/(1*sqrt(7)))*-6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4234 - -10844. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -66. Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.01 and 1.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 78 + 22. Calculate the remainder when 5\/l + 223\/4 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1*sqrt(77)*3)\/(1*sqrt(275) + sqrt(275) + sqrt(275)) - (-1 + (sqrt(112)*-4 - sqrt(7))*-2)))**2.\nAnswer: 1014*sqrt(7)\/5 + 200152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241, -6, 71 in increasing order.\nAnswer: -241, -6, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:21 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) -441 (c) -4 (d) 10 (e) 76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*i + 24 = -0, -3 = o - i. Let h(k) = -18*k - 34. Let j be h(o). Suppose 2*w + j = y, -2*y = w + 2*w - 183. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3456264\/54 - (-1)\/9. Suppose -5*m + 5*o - v = 0, 4*o = 2*m + 7652 + 17952. Round m to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*o**2 - 20*o**2 - 228*o**2.\nAnswer: -792*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 3*a. Let t be 1 - 0 - (-4 + a). Sort 3, t, 4, 6 in decreasing order.\nAnswer: 6, t, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 875*f**2. Let x(q) be the first derivative of q**2\/2 + 102. Calculate x(u(w)).\nAnswer: 875*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001519 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.669821l to millilitres.\nAnswer: 6669.821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42*(1 - 52\/28). Let q be c\/234 - 576\/(-26). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 9 - 7*o - 2 + 8*o. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235354 is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-12))\/(-4)*-45. Let m be ((120\/(-16))\/f)\/((-1)\/(-14)). Solve 2*b = 1 - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b - b)*(0*b + 0*b - 2*b**2) + 2*b**3 - 22*b**3 - 4*b**3 as i*b + f*b**3 + m*b**2 + d and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61045781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33073635 rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(435\/90))\/(6\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229*(-7 + 50\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m - 612. Let b = 632 - 785. Is m at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let y be ((-10)\/(-25))\/(33\/(-165)). What is the fourth biggest value in -5, y, m, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-10))\/(-6))\/((-14)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 16. Let h be w(-11). Suppose h = -5*v + 31, -4*v = -5*n. Calculate the greatest common factor of n and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -170*n**2 + 51*n. Let a(p) = -11*p - 20*p - 19*p - 17*p**2 + 55*p. What is 51*a(t) - 5*u(t)?\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w - 2. Let y be k(5). Suppose 2*v + 0*v = 3*t - 8, -4*v - 14 = -5*t. Suppose b = t*b - 3. Solve -30 = 3*l + y*z, -20 = b*l + 2*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1022 + -1032. What is the nearest to 1 in r, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**9*(o\/o**(-4\/7)*o)\/(o**(-7)*o*o))**(3\/10) assuming o is positive.\nAnswer: o**(537\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 123 = -5*j, -j = -2*k + 17 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w - 426 = -42*w. Calculate the highest common divisor of w and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5)\/((-26)\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908225654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:25 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -71 + (-2 - 1) + 27 + -55 + 37?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -238\/23 in 1\/4, -0.4, 0.38?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g + 2*g)*(424*g + 1055*g + 2130*g + 993*g - 724*g) as c + z*g + n*g**2 and give n.\nAnswer: -3878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/57 and 44\/155.\nAnswer: 8835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 146625\nAnswer: 2\/146625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 48*c - 4 = 47*c, -5*c + 10 = 5*l. Sort -2\/9, l, 173.\nAnswer: -2\/9, l, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 12489 - 15011. Suppose -10*c - j + 15400 = 0. List the prime factors of c.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158\/185 + -2\/37. Which is the second biggest value? (a) -1\/6 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -2 - (-4 + 136\/48).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from jmvvv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 14. What is the smallest common multiple of n(-6) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, -17, -21, -5, 37?\n\"Answer: l**3 + l**2 - 28*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43376, -86677, -129978, -173279, -216580, -259881?\n\"Answer: -43301*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:25 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/806 and 97\/2046.\nAnswer: 26598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 1\/4*o**2 + 1\/4.\nAnswer: -(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2970 and 465.\nAnswer: 92070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 take away 48.1?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**6 + 0*j + 7*j**2 + 1\/30*j**5 + 2\/105*j**7 + 0*j**4 + 0*j**3 + 0. Find the third derivative of d(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 37*l**2 + 223*l + 2. Let q be w(-8). Solve 20*n + 26 = -q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99951 is divided by 1123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644653248 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 256. Let k(q) = 480444*q**2. What is z(k(b))?\nAnswer: -1441332*b**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 14*z**2 + 30. Give w(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**3\/6 + 9*o**2\/2 - o. Let h(l) = 5*l - 11. Let f(c) = 6*c - 10. Let v(n) = -3*f(n) + 4*h(n). Calculate -8*p(g) - 5*v(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -158*p. Let b(l) = 375*l**2. Give v(b(d)).\nAnswer: -59250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(114)\/sqrt(2))\/sqrt(3) + sqrt(19) + (3 + sqrt(304) - sqrt(19) - sqrt(19)) - ((sqrt(931) + 2)*5)**2).\nAnswer: 2088*sqrt(19) + 70116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1933617185846 + -4.\nAnswer: -1933617185850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 - -2962\/13. Let v = 2 - 1. What is the closest to -2\/9 in v, l, 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792740.\nAnswer: 2, 5, 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.59 + -2.59189. Round w to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - 800\/300. Let t(c) = -8*c - 1. Let l(q) = -5*q - 2. Let x(j) = b*l(j) + 2*t(j). What is x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:45 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3\/7, 1, -0.15, 0.5, 4\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12893\/2, -0.5, -2\/151?\nAnswer: -12893\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1914, -1915, -1918, -1923, -1930, -1939?\n\"Answer: -f**2 + 2*f - 1915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/3 - 11965*k\/3 + 83020.\nAnswer: 5*(k - 2372)*(k - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14335 not equal to -13546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(1*sqrt(12)) + (sqrt(21) - (sqrt(1344)*-2 + sqrt(1344) + sqrt(1344))))\/(-4*-3*sqrt(7)*1*3).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -0.1 (b) 6\/13 (c) -3 (d) -2\/26333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/79 or 0?\nAnswer: 25\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5585 and 0.3?\nAnswer: 1675.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 + 2*d + 1. Let s(x) = -4*x + 6. Let a be s(-1). Suppose -3*i - a = 2. Let b(k) = -k**2 - 2*k + 7. Let v be b(i). Determine u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1266 + -1254. Solve -8 - o = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 + 0.15136. Round o to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose -v + 5*x + 18 = 0, 4*x + 0*x = -5*v + g. Suppose 2*u = y - v*u - 4, 5*u - 38 = -2*y. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 1*sqrt(7) + (-2 + (sqrt(7) + -1)**2 - sqrt(7)).\nAnswer: -2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/60)\/(-4 - -2)*(-64)\/128.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24361.26874 rounded to the nearest ten?\nAnswer: -24360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(74\/12*(-6)\/(8\/(-4))).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/24 - (-41)\/4. Suppose 0*q = -c*q + 20320. Let j = -42715\/21 + q. Calculate the common denominator of -53\/6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -120. Let i(w) = 10*w**2 + 17*w. Is i(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 2.1. Which is the second smallest value? (a) -2\/5 (b) 1 (c) h (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x + 400. Let r be b(30). Let i(l) = -l**2 - l + 34. Let a be i(0). Let s = r + a. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/20 + z**4\/2 - z**3\/3 - 2*z**2 + 6*z. Let k(a) = -2*a**3 + 11*a**2 - 4*a - 7. Determine 4*k(t) - 7*u(t).\nAnswer: -t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 22. Let j = -23.0105 + s. What is j rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -0.0793 (c) -0.1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27735 - 6635?\nAnswer: -36572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45 - -0.05. Let t be 1*4 - (-13 + 7)\/(-1). Let f be 12\/36 - 5*t\/6. Which is the nearest to z? (a) -2 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)*p)\/((((p**(-18)*p)\/p*p)\/p)\/p*p))\/(p**23*p*p**(-8)*p) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13653?\nAnswer: 13653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113597 - 19?\nAnswer: 113579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 15 + 4*g + g**2 - 7*g - 10*g. Let m be q(11). Suppose -m*i + 6*i = 26. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215 + 327 + 107)*(-1 + 1 - 3)*(-2*l + 0*l + l).\nAnswer: 1947*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.5, 1\/3, 133, 249?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -105484 and -105486 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180 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: Product of 1427 and 15.\nAnswer: 21405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 263073 + 544348. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 947, 2014, 3471?\nAnswer: 5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 - -350. Let y(r) = 19*r + 1. Let z be y(1). Let f = z + h. What is the smallest common multiple of f and 53?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61016 and 82899.\nAnswer: 143915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 14. Give j(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppfgffgppppp?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**3 + g + 1. Let h(d) = -d**2 + 5*d + 5. Let x(l) = -l**3 - 10*l**2 + 3*l + 11. Let f be x(-10). Let w = -13 - f. Let v be h(w). Give c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d085 - -3?\nAnswer: -1d082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m. Let t(b) be the first derivative of -7 - b**2 + 3 + 0*b**2. Determine f(t(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 - 209.22. Let k = r - 0.08. Let t = -0.3 - k. What is the third biggest value in -2, 1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1504 and -111\/1880.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/4 - 817*f**3\/4 + 2006*f**2 + 330073*f - 666540 = 0.\nAnswer: -36, 2, 46, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5997 + 5)\/((-119)\/(-68) - 1\/(-4)). Which is greater: 3002 or x?\nAnswer: 3002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b + 24. Calculate h(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, -0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2)*(-2*p**3 + 2*p**3 + 2*p**3) - 302*p**3 - 172*p**4 + 302*p**3 + (-2*p + 0*p + p)*(0*p**3 - 2*p**3 + p**3) - 2*p**4 + p**4 + 2*p**4.\nAnswer: -172*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, f: 7}. What is prob of picking 3 f?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 65 - 68 + 135 + 3*k**2. Let j(g) be the second derivative of -13*g**4\/12 - 5*g**3\/6 - 4*g**2 - 6*g. Determine -2*j(q) - 9*u(q).\nAnswer: -q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 minus -4.25?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from ddzddddddz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 610548.\nAnswer: 610548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 839539423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1555587, 1555672, 1555757, 1555842, 1555927?\nAnswer: 1556012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/698243 and 3\/214844.\nAnswer: 2792972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15984113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.9. Which is the third biggest value? (a) -0.3 (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1377) - (sqrt(17) - sqrt(85)\/(sqrt(5)*-2)))**2 - (3 + -4 + -1 + sqrt(272))) + -3.\nAnswer: -4*sqrt(17) + 7493\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2858*t**3 - 3470*t - 54 wrt t?\nAnswer: 17148*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16309\/10 - 1629. Calculate the common denominator of t and 10\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 1. Let d(n) = 2*n**3 - 59*n**2 - 33*n + 80. Let h be d(30). Sort c, h, -3 in descending order.\nAnswer: c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9358*r**5 - 589*r**4 - 602*r**4 - 591*r**4 - 69968*r**5 + 1782*r**4)*(0 - 2 + 3).\nAnswer: -79326*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147049*u - 147005*u = -572 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -19 and -0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 - 12*p**2 + 11*p**2 + 53*p**3 as g + a*p**2 + n*p**3 + r*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2879 - 4294 - 3300 = 455*j + 3632 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1046*r - 5 + 7 - 4 - 1. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*s - 3 - 822*s - 50218*s**2 + 50220*s**2 in the form d + f*s + w*s**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-6) - 2*1. What is the units digit of (0 - n\/2)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 42401434?\nAnswer: 42401440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from eyymeekttti?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (54\/30)\/((-14)\/(-3290))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Let l(k) = 2*k**2 - 4*k + 4. Let x be l(2). Solve -x*q = n - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-138)\/4)\/(-3) - (-2)\/(-4). Suppose -s = -4, 0*s - x = 3*w - 5*s. Suppose -g = w*g. Does -1\/6 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from {e: 4, q: 1, c: 2, b: 2, x: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 - 21749192244383 + 21749192244383.\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 29 - 7 = 0. Let c be 1\/((1 - -2)\/s). What is the units digit of c + 2*2\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w = -62*w + 1581. Suppose 23*a = -8*a + w. Solve a*z = 35 - 44 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611016061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 129 * 483512\nAnswer: 62373048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -49070, 0.12, -51.3?\nAnswer: -51.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 2, h: 2}. Give prob of picking 1 o and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388213 and 4807043.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052883 is divided by 1258?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-19125)\/(-68)))\/(2\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzbz when four letters picked without replacement from {l: 3, r: 5, z: 2, b: 3, m: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -31 + 31 + -47\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396223687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -22) + 13 - (4 + -4 + 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 119.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - y - 7, 3 + 4 = 5*u - 4*y. Suppose u*s + w = -s + 20, 0 = 4*s + 4*w - 32. What is the derivative of -6 + s*i**4 - 4 - 12*i**4 wrt i?\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g**2 + 15*g**2 - g**2 + 11*g**2.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -d0 (base 14) to base 2\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 4*b + 23 = 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -164, -357, -624, -965, -1380, -1869?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123489580 + 1123489580 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**2 + 0*g**5 + 0*g**6 - 1\/3*g**3 - 2\/21*g**7 + 0*g**4 - 5*g + 0. Find the second derivative of y(v) wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945, -728, -269, 552, 1855, 3760?\nAnswer: 6387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -406795.4 to the nearest 1000.\nAnswer: -407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116721 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 7296?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4749, -13774, -22801, -31830, -40861, -49894?\n\"Answer: -m**2 - 9022*m + 4274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18693 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejzyjqw. What is prob of picking 2 j and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4048)\/6072*(-3)\/(-318)*-18.\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/660 - 2*b**3\/33 - 31*b**2. Factor v(y).\nAnswer: (y - 2)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 + 4*q + 5. Let p = -714 + 709. What is m(p)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**2 - 1834*z - 8666. Give k(146).\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 - 4734501*n**2 - 5603915172792*n - 95265189671588 = 0.\nAnswer: -2367242, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -32. Let j = k - 11. Find the second derivative of -j + 31 + 40*v - 44*v**2 wrt v.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 45. Let f(s) = -4*s - 1. Let q(d) = d. Let k(t) = -9*t + 3. Let u be k(-3). Let r = 27 - u. Determine g*f(v) + r*q(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - (-819)\/252.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:56 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*l + 148, 4*l - 15 = 5*a + 157. Let i = 100 - 48. Let h = a + i. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:48 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 840 = 895. Suppose -b = 12*j - 17*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405228421 to the power of 1\/3, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (-2 + ((1 + sqrt(153))**2 - sqrt(153)))) - (4 + -1 + sqrt(153)) - (0 + (sqrt(68) - 2*sqrt(68)*-1)\/sqrt(4)))*-4.\nAnswer: -596 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)\/f*f)**(-33\/7)\/(f*f*f**(-1\/2)\/f)**(-3\/31))\/(f\/f**2*f\/f**(-2))**(3\/32) assuming f is positive.\nAnswer: f**(-35151\/17360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 5*f. Let u be j(-4). Suppose -3*g + u = 36. Let i(d) = -d**3 - 7*d**2 + 8*d + 8. List the prime factors of i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 5*v + 3. Let s(i) be the second derivative of 38*i + 4 + 5\/2*i**2 + 3\/20*i**5 - 4\/3*i**3 + 0*i**4. Calculate -5*s(a) + 8*x(a).\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -12, -1, -25, 1 in descending order.\nAnswer: 6, 1, -1, -4, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1356635 and -5.\nAnswer: 1356630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (6 - (42 - -1)) + (0 - -17)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19 + 4*i**2 + 16*i**2 - 2*i**2 - 5*i**2 wrt i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13889725 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332 - 2*i - i + i - 1332.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose -x = -2*u + 7. Solve 3*g + 3 = 5*f + 8, u*g = 3*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 921 + 0*b - 7 - 3*b.\nAnswer: -3*b - 871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20168333331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010057923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842.4 rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.7 and -0.07078131?\nAnswer: 13.77078131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 110. Let q be ((390\/24)\/(-13))\/(6\/(-48)). Suppose -w = 5, q*w = 6*g + 7*w - 111. Calculate the lowest common multiple of g and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/8)\/(g\/(g*g**(2\/7)))*(g**(-7))**(19\/2) assuming g is positive.\nAnswer: g**(-3687\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/5)\/(18\/(-180)) + 5. Suppose -2*f + 5*v = -3, 17 = 4*f - v + 2. Solve f = -3*y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (7 + -4)) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-2 - -3)\/1. Suppose c*g - 1 = 3*w - 2, -3*g + 15 = 3*w. Suppose -y = -w*y + 8. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7514180 and 39\/7514180.\nAnswer: 7514180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-416)*20*35*(-9)\/(135\/6)\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 24. Suppose 2*m - r - 14 = 0. Suppose 0 = -3*i - 0*i + 96. What is the remainder when i is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1111, 34, -1.\nAnswer: -5, -1, 0, 34, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 12*v**2 + 4*v - 24. What is l(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 282, 397, 514, 633, 754, 877?\n\"Answer: r**2 + 112*r + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -96\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - d - 362, 0 = 4*t + 3*d - 588 - 146. Which is smaller: 181 or t?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1089 + 1078. Let g(f) = -40*f - 417. Let a(y) = 115*y**2 + 2*y + 1. Calculate the remainder when a(-1) is divided by g(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/20 - 51*i**5\/40 + 373*i**4\/16 - 45*i**3\/2 - 9399*i**2. Find b, given that c(b) = 0.\nAnswer: -18, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*u - 2*n + 148, 0 = -2*u + 5*n + 56 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223154 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187974149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 + 18*x + 2. Let r be u(6). Suppose o = k - 228, -r*o = 2*k - o - 447. What is the greatest common divisor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -44098.\nAnswer: -1\/44098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t)*(150440 - 150440 - 4521*t).\nAnswer: 4521*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 33 in decreasing order.\nAnswer: 33, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 + 5*t - 1. Let f be y(4). Let c(g) = g**2 + g - 2. List the prime factors of c(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m + 2. Determine a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72203*h**3*l**3 - h**3*l**2*n + 3*h**2*l**3*n + 4*h**2*l*n - l**3 - 18831*l**2*n wrt l.\nAnswer: 433218*h**3 + 18*h**2*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -25. Let q = j - 14. Is 2\/15 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491989 <= -491970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (14 - (10 - 4)) + -71 + 105.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -23.4, 0, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10650241 is divided by 124.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4146, 3823, 3284, 2529, 1558?\n\"Answer: -108*s**2 + s + 4253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -34*w**3 - 3*w**2 - w + 1. Calculate the lowest common multiple of 21 and u(-1).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 12*w**2 - 18*w + 84. What are the prime factors of z(-27)?\nAnswer: 3, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, 7\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25527 + 25527 + 381*z as r*z + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663402*y**2 + 869034*y**2 - 291889*y**2.\nAnswer: 1240547*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1356 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -6 - -7 - -15 - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13641048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -8 (c) 2 (d) 56 (e) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00845 + -6.59155. Let v = -8.2 + 15. Let u = v + z. Sort 2\/9, -10\/3, u, 2 in increasing order.\nAnswer: -10\/3, u, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*s**5 - 2406011*s**3 + 6*s**2 + 35073376 wrt s.\nAnswer: 840*s**2 - 14436066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 11\/(253\/276).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.9. Let p(z) = -2*z + 1. Let t be p(1). What is the nearest to 2\/7 in t, g, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 5. Let j be y(5). Let n(g) = 6*g**2 + 7*g - 6. Let c be n(4). Suppose c*a - 121*a = -24. Solve -j*d + 2*z + 0*z - 3 = 0, 0 = 4*d + z - a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 8*r - 13. Let i be t(5). Let b = i - -163. What is the remainder when 129 is divided by b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1488 and 4374?\nAnswer: 1084752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7.7. Let d = -1.9 + y. Let b = -2.800007 + d. What is b rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Let s = -0.3 - -0.34. Let o = -113 - -113.2. What is the biggest value in s, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**5 - 151868215*v**4 - 183057366*v.\nAnswer: -20*v**3 - 1822418580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22959\/8 + 2870. Let f = 6 - 5.6. What is the nearest to f in o, -3, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/52 + 99\/260. Let q(s) = -s + 1. Let v(y) = -y + 1. Let g be v(-1). Let j be q(g). Is j equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 18*f**2 + f - 30. Let k be u(18). Let l = k - -12. Suppose -q + 0*q + 1946 = 2*v, -5*v + 15 = l. What is q rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4854 + -3670. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -4 - (-1 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359616421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -7. Let t = -24 - -27. Let n = 1868 - 1867. What is the second smallest value in t, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = 2*q. Let i = q + -1. Let k(n) = -n**3 - 2*n**2 + 2*n + 3. Determine k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1122, 8 in ascending order.\nAnswer: -3, 8, 1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1730 and 9342.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 19, 3, -6.\nAnswer: -6, 3, 19, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose -j*l + 4*h - 8 = 0, -2*l - 2*l - h = -21. Let t be (-1 - 0)\/((-15)\/25). What is the smallest value in t, -4\/5, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let g(t) = 4*t**2 - 2*t + 2. Let a be g(2). Suppose r + a = -4*j - r, -j - 4*r = 21. Let s be b(j). Is s less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -98*y**2 - 200*y - 3. Determine n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-3)\/(2 - -1)). Let f = -1.3 + 1. Sort x, 2\/9, f in decreasing order.\nAnswer: 2\/9, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m\/(m*m*m\/(m*m**(1\/4)*m)*m)))\/(m**1)**(1\/6) assuming m is positive.\nAnswer: m**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -524, -96, -4 in increasing order.\nAnswer: -524, -96, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 3*l. Let b be o(8). What is the units digit of -3 + (-3)\/((-6)\/b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*i - 5*i + 52*i)*(0*i - 6*i + 5*i + (-3*i - 4*i + 6*i)*(0 - 1 + 0) - 3*i + 2*i + 4*i + i + i + 0*i)*(5*i + 0*i - 3*i).\nAnswer: 1420*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591378?\nAnswer: 2, 53, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.1 + -1.1. Let f = i - 3.8. Let u(l) = l + 5. Let s be u(-5). Which is the closest to 2? (a) -1 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102 - 4*q**2 + 2*q - 208 + 3*q + 102 + 2*q**4 + 5*q**3 to k + b*q**4 + i*q + m*q**3 + p*q**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3271645 is divided by 136.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = 5*p - 18*q - 97620, -3*p = -2*q - 58579. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-36)*8\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403b7f (base 16) to base 8.\nAnswer: 20035577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -68?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*z + 385*z = 1567 + 6987 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 45. Suppose 0 = a - 0*a - y - 309, 0 = -k*a + y + 1537. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.5 - 66.49999772. What is q rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 919604 (base 14) in base 5?\nAnswer: 2223422313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*j + 28 = 48, 0 = 3*p + 2*j - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 4888.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 21*h**3 + 11*h**3 + h.\nAnswer: 30*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(2\/(-4)). Let h = 16 - 17. Let o = -669 - -665. What is the nearest to o in h, f, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02031199 * 25\nAnswer: -0.50779975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -92341 + 0.46\nAnswer: -92340.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*r + 17, -10 = 5*m + 4*r + 1. Suppose 4*w + 1 + 3 = 0. Let q be (-6)\/(-9)*6\/(-2). Which is the closest to q? (a) m (b) w (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = -c - 2*q, -4*c + q + 96 = 0. What is the first derivative of -c + 22 - 13 - 5*t**3 wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -7*y**6\/360 + 3*y**5\/40 - y**4\/12 - y**3\/3 - 4. Let k(x) be the third derivative of m(x). Factor k(w).\nAnswer: -(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let t be (-34 + 33)*(0 - 0). Let c be i(t). Solve 2*b = 0, c = y + 2*b - 4 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - 0.01859317.\nAnswer: 10.98140683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.571 - 19.271. Which is the third biggest value? (a) -1604 (b) 2\/11 (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q - 449*q**2 + 507*q**2 + 86*q wrt q?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 367754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 26*c**2 - c - 130. What is the hundreds digit of h(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-90))\/(9\/(-45)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkaaiiaaaaa. Give prob of sequence aika.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34967040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -18 - (-7 - (-22 - -65) - 14)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k**5 + 6*k**4 + k**3 + 53*k - 9. Let u(p) = -p**5 + 2*p**4 + p**3 - p - 2. Let w(d) = i(d) - 3*u(d). Find the second derivative of w(m) wrt m.\nAnswer: 460*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*i - 724*i + 35 = -5*y, 5*i + 0*y - 7 = -y - 14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35ed - -24?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1472, -5, 5, 33\/4, -0.5 in increasing order.\nAnswer: -1472, -5, -0.5, 5, 33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1093\/3 + -369. Let y = 28 - 27. What is the third smallest value in r, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*-15*(-1)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + sqrt(7))*4 + sqrt(7) + sqrt(252) + 2 + (sqrt(56)\/(sqrt(16)\/sqrt(2)))**2 + 5*((sqrt(21)\/sqrt(3))**2 + sqrt(7)) + 4.\nAnswer: 48 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8610)\/60)\/(0 + (-4)\/64). Calculate the highest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/4))\/(v\/(v*v**5))*(v**(1\/3)*v)**(9\/11))**(-33) assuming v is positive.\nAnswer: v**(-969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 13*m**2 - 10*m - 5. Is k(-8) 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 432444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/108 + (-142)\/9. Let z = 24 + f. Let m be (z\/(-564))\/(6\/9). Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 20*p - 1. Suppose -2*t + 4*o = 4, 0 = 5*t + 601*o - 606*o + 50. Determine g(t).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a (base 14) to base 3.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + r = 4*r - 46, 2*d + 4*r - 92 = 0. Let j = d - 18. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaararfaafarra. What is prob of picking 2 a?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/7)\/((((f\/(f*f**(-13)))\/f*f*f)\/f)\/f)*(f*f**(-4\/5)*f*f)**(-5) assuming f is positive.\nAnswer: f**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2622 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*n + 38, n - 42 = -2*h + 4*h. Which is the closest to 5\/4? (a) -1\/9 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 5. Let j(a) = 11*a - 25. Let b(d) = -2*j(d) + 10*o(d). What is b(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let x(f) = 2*f**2 - 5*f + 5. Let a(d) = -d**2 + 4*d - 4. Let l(n) = -5*a(n) - 4*x(n). Determine r(l(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + d**2 + 0*d**2 + (-2 - 2*d + 2)*(201*d + 194*d - 390*d) + 0*d**2 - d**2 + 3*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:35 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6.11. Let k = 93 + -49. Let d = 42 - k. What is the biggest value in d, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8 + 4)\/2)\/(56\/7). Let x = -154 - -309\/2. Which is the closest to n? (a) 1 (b) -16 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*x + x**2 + x**2 + 83*x + 5 + (5*x + 2*x**2 - 5*x)*(-5 + 4 + 3).\nAnswer: 6*x**2 - 5*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 4*(sqrt(76) + -1)) + sqrt(76)*-3*2)**2*6.\nAnswer: -864*sqrt(19) + 37032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3023031 (base 5) to base 10.\nAnswer: 48516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 394095.\nAnswer: 1576380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1335)\/(-300) - (-68)\/(-16)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4054752 (base 8) to base 2\nAnswer: 100000101100111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 374*s**3 + 5*s**2 + 21*s + 333. Let f(n) = 747*n**3 + 8*n**2 + 35*n + 666. Let j(a) = -3*f(a) + 5*y(a). Differentiate j(r) wrt r.\nAnswer: -1113*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let f be (-39)\/15 - (-2 + -1). Which is the closest to k? (a) 3 (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 - -22 - 32 - 2) + (-2 - -2) + 4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 242731678.8+18\nAnswer: 242731696.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1097027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f - 2*f + 7*f + 6 - 5 + 2*f + 5 + (-2*f - 3 + 3)*(2 - 3 - 1) - 5*f + 3*f + 4*f in the form a + v*f and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 444083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 76.44?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(2268))\/(sqrt(324) + -2*sqrt(324) + sqrt(324) - sqrt(324)).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17313682.\nAnswer: 2, 103, 84047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00681024 to 4 decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (7 - -1) - -10. Suppose k + 15 = u*k. What is the second derivative of -k*q**4 - 2*q**4 - 16*q + 10*q wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 83 + 7 = 0. Let j(w) = 8269 - w - 3*w**s - 8269 + w. Let x(y) = y - y - y + 0. Determine x(j(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 24 - 8594*i + 14 + 5 + 8.\nAnswer: -8594*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-76))\/((-250)\/1900)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1.3, -195, 2, 3 in increasing order.\nAnswer: -195, 6\/11, 1.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*r - 1, -3*d + 14597 - 14597 = 3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*v + u, -4*v + 5*v - 15 = u. Solve i + 17 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 = -96*a + 55*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1692\/(-1645))\/(21\/(-10))*(-14)\/(-4)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135, 386, 799, 1374?\n\"Answer: 81*x**2 + 8*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14121400 - 195355447685\/13834. Calculate the common denominator of g and -13\/16.\nAnswer: 110672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -0*y. Let x = y + 14. What is the remainder when 63 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 5)*(2*f**3 + 2 - 2) + 0*f**2 - f**3 + 0*f**2 - f**3 + 2*f**3 + f**3)*((0*f - 5*f + 4*f)*(3 - 5 - 1) + 42*f - 13*f - 4*f).\nAnswer: 84*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(11\/6)*m*m)\/(m**(1\/23)\/m*m))\/(m**(4\/9)\/(m\/(m\/m**(-1)))) assuming m is positive.\nAnswer: m**(1385\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026.96 rounded to the nearest 10?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -19*i - g - 25, -4*i + 10*g = 15*g - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6360*i*t*w + 55*i*w**3 - 2*i + 16112548*t*w**3 with respect to i.\nAnswer: -6360*t*w + 55*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -161. Let q = 106.8 + f. Let c = q - 11. Sort 6, c, -2\/11 in ascending order.\nAnswer: c, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1) + 16 + -8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/4813 + 12985529\/24065. Is q less than or equal to 540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24402 - -1131410?\nAnswer: 1102003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2884 and 26780?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2221021 (base 4) to base 12\nAnswer: 6321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*p = -8806. Suppose i + 4*k = -i + p, 4*k = -4. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1 + sqrt(125) + sqrt(125)*-1 + (sqrt(125) - (sqrt(125) + (-4*sqrt(125) + sqrt(125))**2 + sqrt(125) + 1)))*1.\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + w + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/173 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/13, -58, -4, -3, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103921841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -294 * 7.2.\nAnswer: -2116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 1896888.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 3 + 5)*(b - 4*b - b)*(-b - 2 + 2).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -309794?\nAnswer: 11\/154897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154756 and 38486.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c4 (base 13) to base 5\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*y = -40*y + 21060. Solve 48 = 52*a - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 98176240.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.58 and 4.12?\nAnswer: 14.7496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -2, d + 1 = 4*s. Let y be (-14 - 30)\/11 - -16. Suppose -19 = -5*b - 4. Solve -w = -d*w + b*a - 4, 4*w + 4*a = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5 - 35) + 6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 318\/18 - (-6)\/(-9). Suppose 0 = 2*o - k - 9. Suppose -o*g = -14*g + 9. Calculate the highest common factor of g and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:04 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -56 + (1 - 13) - 35.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjgi when four letters picked without replacement from {x: 1, i: 1, y: 3, t: 6, j: 1, g: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.1 - -9.3. Let p = -134 - -139. Put p, c, 25 in decreasing order.\nAnswer: 25, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**7\/1470 - s**6\/280 + s**5\/140 - s**4\/168 - 329*s**2. Find y such that p(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-19\/6)\/d*d)\/(d**31*d))\/((d\/(d\/(d**44\/d*d*d*d*d))*d)\/(d**36*d)))**(32\/5) assuming d is positive.\nAnswer: d**(-848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 3*i**2\/2 - 2*i + 2. Let b be s(3). Let w = -5 + b. What is the least common multiple of w and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d - 4, 0 = 3*k - 5*d - 73. Suppose 2*p - 5*b + k = 0, 2*p - 8 + 42 = 4*b. Let a = -22 - p. Calculate the least common multiple of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16200 + -16192. Put a, -3, -40\/9 in decreasing order.\nAnswer: a, -3, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 6:13 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - t - 1069 = -233, 411 = z - 4*t. List the prime factors of z.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t**3 - 163*t**2 - 62*t - 112. Calculate w(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 1\/80*p**5 + 3\/8*p**3 - 10*p + 0 + 0*p**2 - 1\/8*p**4. Find i such that k(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-10)\/a)\/a)\/(a*(a\/a**(-7))\/a))\/((a*a*a**(-2\/21)\/a*a)\/(a\/a**7)) assuming a is positive.\nAnswer: a**(-586\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868510?\nAnswer: 2, 5, 439, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23627 (base 13) to base 5.\nAnswer: -4033020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2582, -5209, -7780, -10295, -12754, -15157, -17504?\nAnswer: -19795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -23. Suppose 2 = -y*c - 0*c, -2*u + 19 = -3*c. Suppose 0 = -u*t + 6*t. Solve -2*b + 3*b + 5 = t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**7\/168 - x**6\/40 - 3*x**5\/80 - x**4\/48 + 9*x. Find c, given that a(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*((-4)\/(-42))\/((-150)\/(-375))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16606429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyygygyyeyyveygglg. What is prob of picking 1 y, 1 v, and 1 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (24090\/(-1752))\/((-30)\/192)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5336*q + 70*q**3 + 13*q**2 - 68*q**3 - 5338*q - 6*q**2 - 160 + 35 as t + m*q**2 + i*q**3 + u*q and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 1, m: 1, g: 5, b: 6}. What is prob of sequence kzg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - j - 2*j)*(9*j - 3 - 11*j - j).\nAnswer: -15*j**2 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.405673 and -0.5?\nAnswer: 3.7028365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -529, -588, -679, -802, -957, -1144, -1363?\n\"Answer: -16*g**2 - 11*g - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) - (-2 - 20\/15). Let r be (1 - (-1)\/2)\/(w\/8). Let a(h) = -h**2 + h + 22. Let m be a(5). Solve -r*v - 4 = -m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-264)\/886) - (5 + -8). Let o = r + 1\/44. Which is the closest to 0.1? (a) 2\/3 (b) -0.01 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(700).\nAnswer: -3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2706 + -2696. Let a(t) = -4*t + 22. Calculate a(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2. Let g(n) be the third derivative of 43*n**5\/10 - 7*n**2 + 33. Determine g(k(x)).\nAnswer: 4128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. What is the third derivative of -k + 0 + g**2 + 3*g**4 + 2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78263*h**2 - 80075*h wrt h?\nAnswer: 156526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - 4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**2. Let z(v) be the third derivative of -253*v**5\/60 + 2*v**2 - 40*v + 5. Give i(z(u)).\nAnswer: -640090*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*20\/(-1) + 30 + 108?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4037*a**5 + 5043*a**2 wrt a?\nAnswer: 242220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 l when four letters picked without replacement from rrrrllrrrrr.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 56 = 8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*w**3 + 4355*w**2 - 3350*w - 960 = 0. What is w?\nAnswer: -2\/9, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9541646 divided by 1319\nAnswer: -7234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 2. Let w be u(7). Let p = -1088 + 1153. Calculate the remainder when p is divided by w*(15\/(-6) - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1453?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -y - 5, -r = 5*y - 30. Suppose -3*h = r*d + 72 - 334, 321 = 4*h + d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -851?\nAnswer: -102\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189690 is divided by 189414?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4 + 1605*l**3 - 118390*l**2 + 2483520*l + 2603520 = 0.\nAnswer: -1, 48, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -3*o**3 - 3*o**2\/2 + 2*o + 310. Give z(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/3 - u**2 + 11*u. Does 17 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023879807 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (3 - 1 - 2\/(-1)). Let o(b) = -b**3 - 220 - b**2 + 2*b + 0*b**2 + 217. What is o(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860869687?\nAnswer: 1860869687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(35)\/(sqrt(20)\/sqrt(4)*2) - (-5 + sqrt(63) + (sqrt(7) - 4*(-2 + sqrt(7)))))*2)**2.\nAnswer: -48*sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*f - 13 = 0, -2*f = 2*b - 7 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7 (base 12) in base 16?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/294963?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhbu when four letters picked without replacement from bbubhbbbbbbbb.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**4)**(-3))**(18\/13) assuming z is positive.\nAnswer: z**(162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -43?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -324304 (base 6) to base 15\nAnswer: -7e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 8600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 719*b**6 - 2279*b**6 - 104*b**2 + 15219*b**3 - 15219*b**3 wrt b?\nAnswer: -187200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 + 180*m + 26. Let j be a(13). What is the closest to -5 in 1, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20049 + 61433. Let o = m - 41383.19092. Let q = -0.81 + o. Round q to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -203 + 45 - (-3 - -7 - 20)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 20*z + 699. Let x be l(38). Solve x*n + 2*a = 12*n + 13, 16 = 4*n + 2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m. Let y be k(4). Let w = 7 - y. Suppose -w*z = 2*z - 955. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 173.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -71?\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnlneccecicnnin. What is prob of picking 1 l and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/5))**5)**28 assuming v is positive.\nAnswer: v**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 3801*o**2 + 293682*o + 297480.\nAnswer: -3*(o - 74)*(o + 1)*(o + 1340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 17. Suppose -p - 60 = -b*p. Solve l = p*y, -2*y = 4*l - 5*y + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5154 - -5286. What is the highest common divisor of x and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.04. Let r = -4 + g. Which is the nearest to -1? (a) 4 (b) -6\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -1181006.2.\nAnswer: -1181009.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.6372 millennia in decades?\nAnswer: 58163.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 18. Which is the smallest value? (a) -3\/8 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-5) - 3\/(-3). Let x be (1 - -11)*(0 + m\/28). Let g = 251\/4 + -63. What is the nearest to g in -3, -10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44120 is divided by 22050.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5168, -10284, -15400, -20516, -25632?\nAnswer: -30748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866103.\nAnswer: 1301, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/27, 3\/2, 303, -17.3, 1\/5, 1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 plus -5.23015191?\nAnswer: -5.40015191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-5 + 4) - -36. What is the greatest common divisor of 136 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 29. Let a be b(9). Suppose -3*i = 4*m - a, 2*i + 2*m = 5*i - 35. Let y be 6\/i + 27060002\/(-3). What is y rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(22\/3)*(c*c**(-1\/6))\/c**(-1\/3))**(-29) assuming c is positive.\nAnswer: c**(1073\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j**2 - 4*j + 1. Let z be d(-2). Solve 27 = -3*f + 3*n, 20*n - 17*n = -z*f - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 + 0.1. Suppose 5*y + 0 + 5 = 0. Let w = -2 - y. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -19310, -892 in descending order.\nAnswer: 3, 2, -892, -19310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3375 is divided by 102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134\/35 + -83179\/21735. Sort 3\/5, 1\/2, p in ascending order.\nAnswer: p, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623797373.\nAnswer: 3, 11, 406661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22998*a = -23008*a + 150. Calculate the remainder when 5156 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 + 2*s - 4. Let d(v) = -3*v**3 + 2*v**2 + 5*v - 9. Let n(t) = 2*d(t) - 5*r(t). Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 31470*u**2 - 220095*u - 314350.\nAnswer: -5*(u + 2)*(u + 5)*(u + 6287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnennnnnnennn. Give prob of picking 1 e and 1 n.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/9 - 154*u**2 + 6892*u\/9 - 2752\/3 = 0 for u.\nAnswer: 2, 3, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-2 - 1\/(-3)). Let n = 45 + -42.1. Let q = 6.9 - n. Which is the biggest value? (a) 2\/5 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*3\/414*1. Suppose 24*f + 542 = 566. Is f less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsssssssgssgs. Give prob of picking 2 s.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -2) + (-1 - -6 - 7). Suppose z + j = -c, c + 4 = 3*z - c. Solve z = -2*b + 5*a + 15, -3*b + 5*a - 2*a + 9 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 3, 2, 896.\nAnswer: -1\/11, 2, 3, 896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*323\/266 - -25.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Factor 1\/3 + 2\/3*g + 0*g**w - 2\/3*g**3 - 1\/3*g**4.\nAnswer: -(g - 1)*(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, e: 9, x: 2}. What is prob of sequence px?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 50*s**3 + 140*s**3 - 5*s**2 + 4*s**2 - 102*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -7 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.2 + -12.103. Let l = 0.507 - u. Let y = 0.410029 - l. Round y to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1324892 divided by 662446.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 11) + -1 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 16. Let p be v(0). Let h be (p\/(-12) - -1) + (-5)\/(-9). Determine o, given that h*o - 4\/9 + 2\/9*o**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(1*72\/(-540))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.2053 - 6.2. Round q to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 28. Let t = 2275.2 + -2275. Which is the third biggest value? (a) -0.3 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4499\/28 + -1256\/7. Let u = -14069 - -253163\/18. What is the common denominator of u and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.84771 millilitres?\nAnswer: 0.07884771","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*m + 173*m = 464*m + 55603 - 19003 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h**3 + 4*h**2 + 4*h + 6. Let x be (-21)\/(525\/(-10)) - (-26)\/10. Let z(v) = 21*v**3 + 3*v**2 + 3*v + 5. Calculate x*s(f) - 4*z(f).\nAnswer: -24*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -578*a - 1098 + 355 - 1266 + 577*a to v + q*a and give v.\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35045.65 decades to centuries.\nAnswer: 3504.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7396\/3 + 172*c - 3*c**2 = 0. Calculate c.\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*n - 27 = 0, 0 = -2*o - o + 2*n + 47. Calculate the greatest common divisor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17.02028. What is l rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 357571 plus 142?\nAnswer: 357713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.67 - -9.97. Which is the nearest to 0.2? (a) l (b) -2\/49 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824369 is divided by 1322.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 2, e: 6, n: 2, f: 1, d: 4}. What is prob of sequence nddo?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 363.5918883 - 360.59189. Let d = q + -3. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + -325. Is -5\/4 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 4. Find the second derivative of -2*j + s*j**2 - 3*j**2 - 3*j**4 + 4*j wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12440*u + 422919. Calculate w(34).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*l**2 - 178*l**2 - 194*l**2)*(4*l - 3*l + 0*l).\nAnswer: -158*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*s**3 + 2*s**3 + s**5) + (-1 + 2*s**4 + 1)*(2*s + s - 5*s).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174.63 - -174.6324996. Round j to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, 10, 1 in increasing order.\nAnswer: -3, -2, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187.\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 181924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let w be -4 - (-2)\/8*-4. Let o(y) = -5*y**2 + 1. Let z(g) = w*l(g) - 3*o(g). What is the first derivative of z(q) wrt q?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4))**34*i**(-9)*i*i*i*i**(2\/43)\/i)**(-21) assuming i is positive.\nAnswer: i**(58611\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0a (base 15) in base 4?\nAnswer: -1202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/322)\/((-16)\/80 - (-4)\/10).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.26 + -29.26. Which is the closest to 1\/2? (a) -0.1243 (b) -2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404375 divided by 12?\nAnswer: -404375\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1046*c**4 + 82*c**2 + 1365097*c wrt c?\nAnswer: 12552*c**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -2*y**2 + 0*y + 0*y**3 + 1\/108*y**4 + 0 + 1\/270*y**5. Factor f(q).\nAnswer: 2*q*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 87 = 4*c. Let o = -45 - c. Factor -17*s + 3 + o*s**3 - s**3 - 3*s**4 + 24*s - 13*s.\nAnswer: -3*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1053) + 5 + sqrt(1053) - (4 + -4*sqrt(1053) - sqrt(1053))**2.\nAnswer: -26336 + 342*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7004*k**2*q**3 - 206*k**2*q**2*t - 4862*k**2*t - 1380*k*q**3*t - 13*k*t wrt q.\nAnswer: -42024*k**2 - 8280*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-45))\/((-27)\/15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 + 135.87. Let l = -0.87 + z. Sort -3, 1\/6, l in increasing order.\nAnswer: -3, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 8\/9 in ascending order.\nAnswer: -5, 0.3, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14718675*c**2 + 363260*c + 6724\/3.\nAnswer: (6645*c + 82)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 616 + -1?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 1 + 28*x + 1 + (3 - 3 + 2*x)*(-5 + 0 + 4) + 0*x + 4*x + 2*x - x - 3*x + 3*x.\nAnswer: 31*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6980 + 6983. Solve -3*d - 2*t = 25, i*d - t = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - v, 4*v - v = 12. Suppose -4*q + 3 = -r*y, -2*q - q = -6. Is y != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -408 + 279. Let m = -513\/4 - a. Let o be ((-12)\/50)\/(66\/110). Is o smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 521, 792, 1079, 1388, 1725, 2096, 2507?\nAnswer: 2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 294.82 (c) -10346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i - 1. Let l be b(1). Let k be (1\/(-3))\/((-5)\/l). Let j(x) = -12*x + 1. Does 7 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(48)\/sqrt(2)*2*5)\/((sqrt(1152) - (sqrt(1152) - sqrt(1152)*-3))*3*-1).\nAnswer: 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 59. Let z be t(-4). Let k(j) = 6*j**2 - j - 2. Let a be k(-3). Let w = z + a. What is the least common multiple of w and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 2*x - 2. Let t be 3\/1*12\/(-9). Let o be t\/2*(-2 + 1). Let b(j) = 9*j**2 - 5*j + 5. Let l(d) = o*b(d) + 5*y(d). Factor l(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + 3*t**2 + 4. What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - 72\/(-20). Suppose -4*b + 44 = 4*j, -a*b - j = -23 - 30. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368948, -368955, -368968, -368987, -369012, -369043, -369080?\nAnswer: -369123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 68904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/2*13\/(-819)*2*-6*-7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 134. Differentiate -27*n**2 + 4*n**2 - 1 - n**j + 0*n**2 + 3*n**3 with respect to n.\nAnswer: 6*n**2 - 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 405624780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*q - 48, -17*q + 181 = w + 213 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*w + w + 1, 2*d = -4*w - 2. Suppose -p + d = -4*f, 0 = 4*f + 2*p + 2*p - 12. What is c in -1\/4*c**4 - 1\/2*c + 3\/4*c**2 + 0 + f*c**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200975 + 71364155.\nAnswer: 71163180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2009 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10284154 and 2283.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -8*u + 1712. Let o = -187 + u. What is the remainder when o is divided by 7*1\/(7\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1743, -3487, -5241, -7011, -8803?\nAnswer: -10623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97.50273 litres?\nAnswer: 97502.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 2. Let i be d(0). Suppose -v - 28 = -i*x + 4*v, v + 38 = 4*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5002 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(704) + -1)**2*-6 + -5 - ((sqrt(704)*1)**2*-3 + -4)))*-5.\nAnswer: -480*sqrt(11) + 10600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4423243?\nAnswer: -4423246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3676632 (base 12) in base 10?\nAnswer: -10607366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4848 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3520 and -15\/15092.\nAnswer: 1207360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*y + 305, 4*y - 3*n = -n + 392. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.659290283 and -0.098.\nAnswer: -12.757290283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90970, 181731, 272492?\nAnswer: 363253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1633*z = -1645*z - 48 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 110 = 42. Let d(w) = w + 4. Let p be d(3). Suppose p*k - 11*k = -28. What is the remainder when q is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 55 + 2*j**4 + 2*j**3 - 2713*j + 1359*j + 1359*j - 2*j**2 as x*j + h*j**3 + i + b*j**4 + v*j**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110110111001000 - -101?\nAnswer: -1110110110111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/3 - 27*l**2 + 1550*l\/3 + 544 = 0. Calculate l.\nAnswer: -1, 34, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0372 + 0.0272. Let h = -63 + 319\/5. Which is the closest to 0.3? (a) u (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*j + 79, v = -0*j + 4*j + 73. Let w = 80 - v. Find the second derivative of r**3 + 23*r**w - 40*r + 19*r**3 wrt r.\nAnswer: 258*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 25 = -2*s + 28, -4*g + 16 = 4*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 220, -4, 20, -3 in decreasing order.\nAnswer: 220, 20, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*-1*-1*(-196)\/(525\/75)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 273 = -510 + 233 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26b1b7 (base 12) in base 6?\nAnswer: -21425151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - 19. What is the remainder when 196 is divided by m?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 1070*p + 3100*p.\nAnswer: 2030*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-27 - (-19 + -27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/648*-9)\/4\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nukn when four letters picked without replacement from knnnukuukknkn?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*i**3 + 6*i**4 - 69*i - 9*i**4 + 75*i - 2 - 367*i - 59*i**3 in the form r*i + u + a*i**3 + m*i**2 + w*i**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q**2 + 2*q - 2*q)*(3 - 4 - 2) + 3*q - 3*q + 3*q**2)*(-q + 4*q + 44*q**2 - 60*q**2).\nAnswer: 48*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a387a4 (base 11) to base 9.\nAnswer: 6418448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2 + 4*x - 53. What is u(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 79. Calculate the smallest common multiple of 6 and n.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t\/(t\/t**13)))*t**(5\/3))\/((t**(-13)\/t)\/(t**(-2\/3)\/t*t)) assuming t is positive.\nAnswer: t**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 24*u - 24. Give x(-19).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/36)*c)**(4\/3) assuming c is positive.\nAnswer: c**(35\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15653*h**2 - 892204*h + 979. Determine z(-57).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 18*d - 127. Let i be h(7). Let y = 1927\/2240 + -1\/320. Let k = 4 + -3. Which is the closest to k? (a) y (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -37, -45, -57, -73?\n\"Answer: -2*i**2 + 2*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 3 + -45 + 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/17))**(2\/77) assuming m is positive.\nAnswer: m**(4\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -1\/15 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8321*t**2. Let k(m) = m**2. Give k(i(z)).\nAnswer: 69239041*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -a51?\nAnswer: a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + 2) + sqrt(15)\/(sqrt(3)*2).\nAnswer: 4 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1 - -4)*627\/3762\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c65c6 + -5?\nAnswer: c65c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 668, -4, -155875 in decreasing order.\nAnswer: 668, -4, -155875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.05. Let q be ((-1)\/(-8))\/(2 + -1). Let i = -4.1 - -4. What is the third biggest value in g, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**2. Let l(h) = 313784*h**2. Calculate s(l(p)).\nAnswer: 1083064385216*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-4) - (2 - 4). Suppose 0 = 2*u + 3*g + 7, -v = 3*u + 3*g + 2. Let m = 2 - 2.3. Put m, -0.1, u in decreasing order.\nAnswer: u, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4045503 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/10)\/(2\/10). Suppose -r = 2*v - 6*v. Suppose -c + 6*c = -5*k + 10, k = -v*c - 8. Solve -p = 2*w + k, -3*w - p = -4*p + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1128574 + 3841?\nAnswer: 3841.1128574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1144 and 4\/(-34) - ((-630504)\/357 - -50)?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 take away 1793?\nAnswer: -1793.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (4 - -2) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 2*n**2 + 3*n - 2. Let l be a(2). Let f be (-14)\/28 - 18\/l. Solve f*k = k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times 71.08?\nAnswer: -0.28432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 2, 3, 1 in decreasing order.\nAnswer: 14, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1123 - -5?\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 185 = -5*w - 0*j, -2*w - 67 = -3*j. Let p = -33 - w. What is the common denominator of 948\/464*p\/(-12) and 9\/20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3131*v**2 + 2961*v**2 - 9*v - 3*v.\nAnswer: 6092*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f - 14*f + 68. Find the second derivative of 13*p + 7*p + 10*p**2 + 8*p**3 - 32*p**f - 21*p**2 - 7*p**3 wrt p.\nAnswer: 6*p - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -693.68 - -717. Let g = 23 - b. Let j = g + 0.294. Round j to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 2*j**2 + 2. Let d be q(-1). What is the remainder when 2\/4*d + (-115)\/(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 3. Let z be p(-2). Sort 5, 3, z, -3 in descending order.\nAnswer: 5, 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.1, 88697?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 - 2424*z - 4836 = 0. What is z?\nAnswer: -806, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(91)*1*2 - 6*(sqrt(91) + (sqrt(91) - (sqrt(91) - -1*sqrt(91)))))\/(-2*sqrt(175)*-1 + (6*(sqrt(175) + 2*sqrt(175)) - sqrt(175))).\nAnswer: 2*sqrt(13)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*b = 11, 0 = 9*b + 24 - 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661 + 1151. Let m = z + -295. What is the remainder when m is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 30441?\nAnswer: 30443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 154*z + 1726. Is 6 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:42 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5326.81kg to grams.\nAnswer: 5326810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 254 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 50 = -5*n, 2*n + 0*r = -4*r + 8. Suppose -n = -g - 2. Is 3*(-2)\/(g\/(-22)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 0*o + 0*o + 2*o to the form s + k*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t - 200846 + t**4 + 126*t**3 + 200846 to u*t**4 + n*t**3 + x*t + o*t**2 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4700311 rounded to two decimal places?\nAnswer: -8.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7297915*r**3 + 17164*r + 4.\nAnswer: -43787490*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 704 + -244. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**2 - 39*p**2 + 13298 - 13298.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*h + 287 = 3 + 2858 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i**3 - 95442*i**2 - 1159539*i - 1170510 = 0 for i.\nAnswer: -11, -10\/9, 3547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2 (c) -3 (d) -0.5 (e) 2\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24761*k**2 + 24757*k**2 + 37286*k - 74570*k + 37284*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 160 = -2*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 35. Suppose 5*u + 516 = t*b + 216, -4*b + 400 = -2*u. Suppose -4*l + b = -48. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311362142.\nAnswer: 2, 7, 13, 1710781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/3 (c) 0.2 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.228 - -0.183816488\nAnswer: -7.044183512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:48 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/3 + 7*h. Let g(u) be the second derivative of -u**4\/12 - u. Determine l(g(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 4)\/(-2 - 4)*225\/30. Solve -b = -z*i + 2 + 5, -4*i + 17 = 3*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.22456kg?\nAnswer: 0.00222456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -11.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*u + 26*u - 9. Factor -q**3 - q**4 - q**4 + u*q + 10*q**3 + 3*q**2 - 13*q**2.\nAnswer: -q*(q - 3)*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1839.999994572 + -1840. Round t to seven decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*n - 75 = -6, 3*q + 2*n = 59. Let d = -12 + q. Solve -3*f = -h - d, 3*f + 4*h + 13 = -7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.094112398 rounded to three dps?\nAnswer: 2.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 1. Let v(t) = 8*t**2 + 6. Let o(g) = 6*l(g) + v(g). Let y(m) = -2*m - 26. What is o(y(i))?\nAnswer: 8*i**2 + 208*i + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -275454728661*d**2 + 53599572*d - 18252\/7 = 0.\nAnswer: 78\/801703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 14*z - 9. Let r be h(7). Let a be (-1)\/((-1)\/(-3) - (-6)\/r). Solve 3*p - 5 = a*y + y, 0 = p - 5*y - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113\/3 - -38. Let h(w) be the third derivative of 0*w - w**2 + 0 + 1\/6*w**3 - k*w**4. What is h(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*k + 3*k + 24, 4*h + 2*k + 92 = 0. Let q be (-4 - h\/5)*-5. Is (-10)\/15*(q - (-2897)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**2 - 934974*b - 44885664 = 0?\nAnswer: -48, 311706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/((-8)\/8)*17\/(-34)*4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 159?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 10.03. What is the nearest to 1\/3 in 5, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270297377?\nAnswer: 7, 112577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaa when three letters picked without replacement from jjaja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55533201 (base 7) to base 5.\nAnswer: -2212021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/3480 and -59\/20.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 82, -15, -192, -473, -882, -1443?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 5*q - 5*q)*(-1353 + 2432 - 1483)*(2*q**2 + 0*q**2 + 0*q**2).\nAnswer: -808*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -1 - (13 - -6)) + 0 - 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. Suppose -17*w - 190 = -27*w. Sort w, 3, a in descending order.\nAnswer: w, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 41*f = 36*f - 4140, 2*f = -5*r + 4140. Calculate the greatest common divisor of 756 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let w(s) = s**3 - s**2. Let n(i) = 8*i**3 - 6*i**2 + 2*i - 4. Let c(r) = a*n(r) - 10*w(r). Solve c(u) = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, 0.107, 5163?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 20, 3, 2, -1 in ascending order.\nAnswer: -51, -1, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.398 and 15.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:20 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136722, 546764, 1230168, 2186934, 3417062, 4920552?\nAnswer: 6697404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173789?\nAnswer: 7, 11, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2995.3 - 3706. What is g rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856005.42 rounded to the nearest one hundred?\nAnswer: 856000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a928 (base 15) to base 10.\nAnswer: 35813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11403499, 11403501, 11403505, 11403511, 11403519, 11403529, 11403541?\n\"Answer: v**2 - v + 11403499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0012 and 0.12121?\nAnswer: -0.000145452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 12 = 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - -6.04. Let u = -5.900062 + g. Round u to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/4, 3, -11 in decreasing order.\nAnswer: 3, 3\/4, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4833164813?\nAnswer: 4833164813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 110.9, -3\/2, 0.3, -108?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14748229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 4*f + 248 = -42*f. Do f and 49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x**5\/3 + 4490*x**4\/3 - 283802*x**3\/3 + 977086*x**2\/3 - 132194*x - 100392 = 0. What is x?\nAnswer: -3\/8, 1, 3, 89, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edl when three letters picked without replacement from {e: 3, d: 1, l: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*k + 1641*k - 407*k + 1 - 410*k - 420*k - 1.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-30))\/(2576\/(-1449))?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 843\/14 - 8539\/126. Let t = -47 - -45. Calculate the common denominator of (t\/(-14))\/((-7)\/161) and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 2*t**2 - 2*t**2 + (-t**4 + 8*t**4 - t**4)*(-46 + 15*t + 46).\nAnswer: 92*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*2)\/(12\/8).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -32*q + 216. What is the lowest common multiple of 133 and g(5)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0.1, 4, -11, -4, -399.\nAnswer: -399, -76, -11, -4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29496 = -3*z - r, -3*r + 39328 = -4*z - 2*r. Suppose 0 = 3*f + m - 7, -f + 2*m = 0. Is (-7)\/(168\/z) + f\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010333 - -3?\nAnswer: -2010330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(5\/2))\/(w**(-25)*w) assuming w is positive.\nAnswer: w**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9327*g**4 - 2*g**3 + 3108898*g**2.\nAnswer: 223848*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/5, -2, 1\/4, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7458829.\nAnswer: 7, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-5\/4)*i)\/i*i**8)**40)**5)**(-24) assuming i is positive.\nAnswer: i**(-32400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 100 = 3*d - 3*i, d - 4*i + 50 = 0. What is the tens digit of ((-45)\/6)\/5*d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/840 + 7*m**6\/360 - m**5\/30 + m**4\/12 - 15*m**3\/2 + 7*m**2 + 4*m. Let c(a) be the first derivative of o(a). Give c(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*(((f**(9\/5)\/f*f*f)\/f*f)\/f)\/f))\/f))\/(f\/((f\/(f\/f**(-28))*f)\/f*f*f)))\/(f*f*f*f**(2\/29)*f*(f*f**(-11)\/f)\/f) assuming f is positive.\nAnswer: f**(-2359\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632360 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3304086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 13*q**2 - 2. Let c be a(13). Let v be 13*(-3)\/(-9) - c\/3. Suppose 0 = -3*o + 2*x + 32, x + 4 = -0. Solve -o = -v*i + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + 4 + sqrt(44)\/sqrt(4)))**2 + 2 + sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(2))) + sqrt(11)*1*-3.\nAnswer: 143*sqrt(11) + 542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4562, 4455, 4278, 4031, 3714, 3327?\n\"Answer: -35*b**2 - 2*b + 4599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 29, 40?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328540 is divided by 786.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 44\/(-55)*65. Let l = -105 - -54. Is n not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/7*14\/(420\/(-102))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6 - 200257*h**4 - 500*h**2 + 104*h + 5?\nAnswer: 240*h**3 - 4806168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*r + 3*r + 9*r + 0 to w*r + u and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169*a**2*o**3 + 2735*a**2 - 1022997*o**3 with respect to a.\nAnswer: 338*a*o**3 + 5470*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163620 - -163620.0739915. Let p = w - 0.074. Round p to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 14. Suppose 2*n + 2*b = 0, 0 = -2*n + l*b - 1 - 5. Is -1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 + 2*t - 12. Let r(a) = a**3 + a**2 + 4. Give 2*q(l) + 6*r(l).\nAnswer: -4*l**3 + 6*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/1383 and (-1)\/21*4002\/69.\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253412952 divided by -2436663.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11971 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143720?\nAnswer: 2, 5, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 698\/251 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329478 + 3*d**2 - 329758 + 659236.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 48*y + 68 = 16*y + 20*y, 4*p - 2*y = 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 9, 2*s + 5*b + 45 = 5*s. Let l be (-5)\/(-20) + 27\/s. Let m = l + -34\/15. Is m smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 2*g - 10. Let o be i(-5). Suppose -2*s - 360 = -o*s. Let z = -67 + s. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -166*z - 3. Let m(r) be the second derivative of r**3\/3 + 1170*r. What is q(m(f))?\nAnswer: -332*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m - 490 - 1358 + 5*m + 9*m - 23*m in the form y*m + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/4 of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -207 - -149 - (-6 + -7 + 21)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**4 - 1372*a**3 + 920*a**2.\nAnswer: -4*a**2*(a + 115)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + u - 9 = 15*r, 5*r = 2*u - 30. What is the second smallest value in r, 158, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 408807 + 2611193. Round j to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -217? (a) 3\/527 (b) -4 (c) -1\/7 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let s(k) = -2111*k + 4241*k - 2 - 2129*k + 5*k**2. What is 2*j(o) + s(o)?\nAnswer: 7*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3) + 0)\/(-1). Let n = -0.3 - -0.6. What is the smallest value in n, 4, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-72) + 55\/6. Is (-14)\/(-3)*27\/g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 11. Let b be a(-8). Solve 0 = b*f + 5*t, 2*f + 2 = -2*t + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -13*q**4\/8 - 2*q**3 - 68*q**2. Calculate the remainder when c(-1) is divided by (-192)\/(-14) + (-4)\/(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (90\/5)\/(-6). Suppose 4 + 4 = -4*y + s*p, 0 = y - p + 4. Solve 5*m + 7 + 8 = y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let l be y(-3). Let q(z) = z**2 - 1. Let o be q(l). Put o, 2, -4 in ascending order.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7418 take away 13?\nAnswer: 7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -7. What is the derivative of 0 + 3*y**4 - l - 8*y**4 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v - 5*v + (3*v - v + 0*v)*(1 + 0 - 3) + 0*v + 11*v + 15*v + 0 + 0 - v + (2*v + 3*v - 3*v)*(0 + 3 - 2).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*u + 8, 0 = -7*s + 2*s + 4*u - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3773 - 1489*z + 3766 + 1492*z - 7539.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1484574, -1484595, -1484650, -1484757, -1484934, -1485199?\n\"Answer: -3*m**3 + m**2 - 3*m - 1484569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.07 * -1990.\nAnswer: -12079.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s - 2. Let b be t(4). Let a = 9 - b. Suppose x - 8 = -x, -a*x = -5*k + 18. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 2. Let n be b(0). Let c = 17 - n. Suppose 2*i - 1 = c. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - y = -1139. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 55 - 5. Calculate the remainder when 72 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 3, d: 1, c: 4}. Give prob of sequence dyyh.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*w + 20*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -2)*8\/2. What is the remainder when ((-32)\/o)\/(1\/(-5)) is divided by (0 - 4\/(-3)) + (-460)\/(-276)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317 - 316.8. Which is greater: -0.026 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/2 - 1655*r**2\/2 + 4148*r - 3320 = 0 for r.\nAnswer: -1660, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 16*x**3 + 0*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - 4*j + 4*j)*(5 - 3 - 1) - j + j - 4*j)*(-26*j + 27*j - 29*j**2 - 1 + 31*j**2).\nAnswer: -6*j**3 - 3*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9716\/52 - (-2)\/13?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-9)\/54*8\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = 2*p - 5*o, o + 11 = 3*p. Suppose -5*a - 25 = -p*y, -6*y + 2*a = -5*y - 7. What is the remainder when 58 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 3. Let u be z(4). Let t be (-2 - (-10)\/4)*0. Suppose -2*w + 5*y = -t*w - 13, u*w = 5*y + 17. Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3847734 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2461*l - 3*l**2 + 3 + 2*l**2 + 2517*l - 4878*l.\nAnswer: -l**2 + 100*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - j + 4 = 3*n, -n = -3*j + 4. What is the units digit of n + 0 - ((-4 - -1) + -102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11112 - -122121?\nAnswer: 133233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 249 = 227. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*v - 123192, 254906 = 4*v - 2*i + 8498. Is 44 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -29. Let v = 50.85 - 80.89. Let u = f + v. What is the second smallest value in -0.3, -3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 11. Let y be n(5). Suppose 0 = -y*u + u + 15. Suppose u*w - 1221 = s - 3*s, -2035 = -5*w - 5*s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44\/227 (b) -6 (c) -9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:33 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -5)\/(5\/(-2)). Solve 0 = z*l - 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 2*s + (-3 + 4 - 4)*(-6*s + 4*s + s) + 3 + 4*s - 3)*(8*s**2 + 3*s**2 - 4*s**2).\nAnswer: 63*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h*k**3*r**2 + h*k**2*r**3 - 9*h*k**2*r**2 - 2*h*k*r**2 - 2*h*r**3 - 2*h*r**2 - 154*k**3*r**3 wrt r?\nAnswer: 6*h*k**2 - 12*h - 924*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -25\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 45*w + 3. Does 8 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1730925 by 7.\nAnswer: -247275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163\/174 - -3\/29. Suppose 0 = 2*g - 2*h + 6, -6 = 3*g - 2*h + 3. Sort g, f, -2\/11 in ascending order.\nAnswer: g, f, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5585 (base 13) to base 5.\nAnswer: -340224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7318.872 - 7286. Let t = 0.472 - q. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42018)\/8460 - (-6)\/20. Which is the second biggest value? (a) -5 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2441*u - 80559. Calculate q(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrururur. Give prob of sequence uuu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/9*93564\/(-12995).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) 2\/11 (c) 22 (d) 1\/3 (e) 1 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 50, -5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseoaasedlla. What is prob of picking 1 l, 1 d, and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(16)\/(sqrt(8)\/sqrt(2))) + 2 + (sqrt(3) - ((sqrt(33)*2)\/sqrt(11) + sqrt(3))**2).\nAnswer: -25 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4321 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33551612 (base 7) to base 9.\nAnswer: 5440755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 52 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14895*29.2.\nAnswer: -434934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 161146 (base 7) in base 9?\nAnswer: 47354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199210 and 4048.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 48 = 3*z - 2*z - 9, 2*z + 51 = 4*b + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w, -2*j = w - 6. Solve -9*c**2 + 3*c**3 + 7*c - c + 3*c**3 - j*c = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -60. Suppose 0 = -s*c + 13*c - 378. Suppose -2*n = 5*y - 912, 0 = 4*y - 2*n - c - 618. What is the greatest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgrrrrgrfrfrmrf. Give prob of picking 1 m and 1 g.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 11976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/1071 and -95\/3332.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 231*g**2 - 7541*g**3 + 6974*g**3 - 231*g**2 - 10*g as j*g**2 + l*g**3 + r + i*g and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -538*b**3*c - 4*b**3*o - 2*b*c*o + 2*b*c + 15*o with respect to o.\nAnswer: -4*b**3 - 2*b*c + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -39*v**3 + 40*v**2 - 3*v. Let r(h) = -79*h**3 + 79*h**2 - 5*h. Let y(p) = 3*r(p) - 5*u(p). Find the third derivative of y(w) wrt w.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -658, -892, -1130, -1372?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (11 + 268))*(-10)\/1. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 47571?\nAnswer: 332997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 12, 8, 0.1, 0.19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) + (9858\/248 - 39). Let y(d) be the third derivative of 3*d**2 + 0*d**4 + 0 + m*d**3 - 2\/15*d**5 + 0*d. Let h(r) = -6*r**2. Give y(h(w)).\nAnswer: -288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 81. Let d(n) = 16. Let j(x) = -5*d(x) + f(x). Let c(p) = 4*p**2 + 12*p - 2. Give c(w) + 2*j(w).\nAnswer: 4*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775927671 and 1317.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 2, -6 in descending order.\nAnswer: 19, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(11 - 24) + 5\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u. Let r be z(-4). Let h = 68 - r. Suppose 2*v = 4*t - h, -3*v - 74 = -t - 0*t. Calculate the common denominator of v and -41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12253 (base 8) to base 4\nAnswer: -1102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1 (c) 5.3 (d) 1\/3 (e) 0.05 (f) 2 (g) -4459\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and 0.6976?\nAnswer: -0.0048832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -9, -4, 2\/5, 17, -41.\nAnswer: -41, -9, -4, 2\/7, 2\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**5 + 11 + 7\/3*w**3 + 19\/7*w**7 + 0*w**4 + 0*w + 0*w**6 + 0*w**2. What is the third derivative of b(n) wrt n?\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 174578?\nAnswer: -174578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 24 = 7*u. Suppose 7*g - 5*g = u. Solve g*r + 2*r = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29874, 60541, 91208?\n\"Answer: 30667*v - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n + 237 + n**2 + 2*n - 2*n**2 + 241 - 458. Calculate m(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1809\/2 + 924. Calculate the common denominator of h and (-1)\/(-3) + ((-392)\/(-480) - -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6530308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w - 64 + 27*w + 13*w - 43*w. Let q be k(9). What is the nearest to 1\/3 in -0.08, q, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246894 is divided by 189.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*a + 4900 = -68*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1516 - -2490. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(-4) - 340\/(-50). Solve -20 = -11*v + y*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 911 + -908. Let o be 7\/(-28)*4*-3. Let p(g) = -5*g + 2 + 22*g**3 - 21*g**3 + 2*g - o*g**2. What is p(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.083364 millilitres?\nAnswer: 0.003083364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u. Let a(n) = -232*n**2. What is x(a(d))?\nAnswer: 696*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4213923 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 17 - 19 = 0. Let l(u) = 2*u**3 + u**2 + 2. Let f be l(2). Suppose y = f - m. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 101. Let g(d) = 246*d**2 + 2. What is the units digit of g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -404901, -404905, -404909, -404913, -404917, -404921?\n\"Answer: -4*l - 404897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 34. Suppose -1400 = -46*u - 4*u. Determine v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69799 - 17449663\/250. Find the common denominator of -11\/25 and q.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47509, 47512, 47515, 47518?\n\"Answer: 3*n + 47506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 88.13?\nAnswer: 6.1691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3*(-2)\/(-8))\/((-12)\/162)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, o: 5}. Give prob of sequence yoyy.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35855 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 1, s: 2, z: 1, p: 1}. Give prob of sequence ksp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845891?\nAnswer: 3, 317, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 101. What is the least common multiple of 16 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57.06074ml?\nAnswer: 0.05706074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22311101220 (base 4) to base 3.\nAnswer: 12100021021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3433, 6924, 10541, 14284?\nAnswer: 18153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 14, 3\/13, 17.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.4625 months to millennia.\nAnswer: 0.003371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25843400 = -10102*r + 10091*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 768*c**3*y**3 - 4711*c**2 - 2*c*y**3 wrt c.\nAnswer: 4608*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30 + (-5*2)\/((-10)\/80*-16). Let h(l) be the second derivative of 0*l**2 + f*l - 2\/3*l**4 + 4\/3*l**3 - 3\/10*l**5 + 0. Find z such that h(z) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -112. What is the remainder when 15*(-583)\/(-55) + (6 - -1) is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1102 from 21.\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 + j**4 + 4*j**3\/3 + 6*j**2 + 17*j. What is the tens digit of v(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703*b = -1707*b - 5*m - 45, -5*b + 4*m = 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*o = -491*o - 8340 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/18561757 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 5 + 2 + u**2 - u**2 - u to n*u + j*u**2 + w and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/60 - p**4\/8 + p**3\/3 + 14*p**2 + 17*p - 2. Let f(j) be the first derivative of l(j). Calculate f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6496*z - 5560591. Calculate n(-856).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-5)\/i)*i)\/i*i\/(i\/(i*i**(-1\/3)*i))*(i**(2\/5))**(-1))\/(i**(1\/3)\/((i**(-5\/6)*i)\/i))**11 assuming i is positive.\nAnswer: i**(-137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12\/(-40) - 1030\/(-3100)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q - 56*q + 290 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 5*b + 0*b)*(0*b - b + 4*b - 2*b**2)*(-8 + 3*b**2 + 8).\nAnswer: 6*b**5 - 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 + 169.8. Let n = f - 19.8. Which is the third smallest value? (a) n (b) 0.4 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40*7*12\/420. Solve a - b + y = -3*a, -5*a - 2*b = 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -5*b + 4*b + 32, 4*b = 5*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/15*-5*1. Let q be (-9)\/(-7) - 2\/7. Put -4, q, r in descending order.\nAnswer: r, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1104624?\nAnswer: 1104624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/27 and 59\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113657*c + 1707*c**2 - 113657*c to the form z + f*c + a*c**2 and give a.\nAnswer: 1707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566641\/46070 + 2\/4607. Calculate the common denominator of q and -101\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46501*i**4 - 69530*i**4 + 36421*i**4 + 2 + i**4 - 2 + (-i + 3*i + 0*i)*(0*i**3 + 4*i**3 - 2*i**3).\nAnswer: 13397*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 4.9. Let k = 4.9 + b. Let a = 31\/35 - 3\/5. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/72, -0.3, 210.1 in ascending order.\nAnswer: -0.3, 1\/72, 210.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10117*41523.\nAnswer: 420088191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 5. Let w be (-536)\/(-32) - ((-11)\/(-4) + -2). Let n(x) = 22*x + 16. Let r(o) = w*b(o) + 5*n(o). Let y(k) = -2*k - 1. Give -4*r(m) + 3*y(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 1057610119700.\nAnswer: -1057610119699.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/4 + 3391*v\/4 - 3389\/2 = 0.\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h + 0*h)*(3 - 2*h**3 - 3 + (-2*h + 3 - 3)*(h**2 + 0*h**2 + h**2) - 1 + h**3 + 1 - 2*h**3 + h - h + 2*h**3 + 0*h + 0*h).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - 13?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**5\/24 - z**3 - 13*z - 59. Let v(x) be the third derivative of m(x). Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 4.7. Let j = r + -4. Are -4 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 98 - 1755990\/(-17721).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -445, -461, -501, -577, -701, -885, -1141, -1481?\n\"Answer: -2*p**3 - 2*p - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2593*m**2 + 325555*m - 599. Determine v(-120).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7816 divided by -1.\nAnswer: 7816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 2\/39 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34452 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (-33)\/(-90). Let h = -782 - -782.349. Let g = h + 0.151. What is the closest to g in f, -1\/5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -1 + (-304716)\/6064?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*w + 300 - 291, 3*t + 5*w = -23 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 501835 or 501814?\nAnswer: 501814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11120 + -43?\nAnswer: 11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -605*f**3\/3 - 85800*f**2 - 12168000*f - 7972. Find l, given that n(l) = 0.\nAnswer: -1560\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1976569 by 3.\nAnswer: -1976569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2426873 (base 9) to base 6.\nAnswer: -44122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65953607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12)*3*-1. Let x = -26443 - -158659\/6. Let v(l) = l + 6. Let g be v(-8). What is the fourth biggest value in x, m, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1852858191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(2\/7))**(-48)\/(v**(-1)*v*v**(12\/7)*v) assuming v is positive.\nAnswer: v**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 105 = 6*p. Suppose 0 = -3*b + f + 30, -5*b + 5*f + 51 = -b. Calculate the remainder when p is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let d(q) = 478*q**2. Determine d(l(b)).\nAnswer: 478*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 2033131313?\nAnswer: -2033131212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6780713 + 179287. Round f to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*s + 5*k + 24, 4*s + 4*k - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -48*v**5\/25 - 18*v**4\/5 + 3*v**3 - 3*v**2\/5 - 440. Factor c(h).\nAnswer: -3*h*(h + 2)*(4*h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 0, 0.5, 1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 10. Suppose 6*c = 4*c + 52. Suppose 5*h + 9 = -c. Let u be f(h). Solve -2*k + u = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107136 and 0.16?\nAnswer: 17141.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -1007\/4. Sort -4\/5, 3, x, -28 in descending order.\nAnswer: 3, x, -4\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - 0\/2) + 0. Let p(j) = 2*j + 6. Let n be p(i). Let r = n + 17. Solve -y = -r*a + 19, -y - 6 = 2*y + 2*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19297869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66.96281ml?\nAnswer: 0.06696281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2 - sqrt(13) - ((sqrt(65)*1 + sqrt(65))\/sqrt(5) + sqrt(13))) + (1 + sqrt(13))*1*1.\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*y**2 + 256*y + 64 = 0. What is y?\nAnswer: -4, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/222 and -73\/92.\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -81097 minus -15841.04?\nAnswer: -65255.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*u - 30, 385367*m - 385391*m - 59 - 325 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/4 + (6 - 4). Sort -0.2, 0.4, v in decreasing order.\nAnswer: 0.4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f + 4. Calculate u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -417405, -417399, -417393, -417387?\n\"Answer: 6*m - 417411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136153858.\nAnswer: 2, 37, 101, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, -9, 5?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5662*k**2 + 6637 wrt k.\nAnswer: -11324*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - h**2 + 2*h - 1. Let j = 3 - 0. Suppose -j*q = -33 - 9. Suppose -5*v = 2*s + q, 0 = s + v + 5 - 1. Give u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101110100001001010?\nAnswer: 101110100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -24 - -21 - -28) + -24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -236.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 216 = 27*k - 7*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/(-28) + 4 + 0. Which is the closest to r? (a) -2 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9313*x**2 - 3805 - 9313*x**2 + 2*x**3.\nAnswer: 2*x**3 - 3805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.059 (c) 2\/9 (d) 24 (e) 0.3 (f) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let x(o) = -14*o**2 + 2*o + 34. Determine x(m(p)).\nAnswer: -14*p**4 + 2*p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -46 in descending order.\nAnswer: 2, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/(-1521) + 587\/39. Let k(p) be the first derivative of 5\/3*p**3 + 0*p - 1\/2*p**2 - a. What is the second derivative of k(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 0.0061.\nAnswer: -9.0061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8da - 239?\nAnswer: 6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1513 - 347 = 0. Suppose -2 = -2*b + 2, 5*d - 2*b = 306. Let s = d + w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.4295 millilitres in litres?\nAnswer: 0.7824295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275230633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -81*f**5\/2 + 45*f**4\/2 + 24*f**3 - 6*f**2 = 0.\nAnswer: -2\/3, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 174*d - 412. What is h(41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*x + 4*p + 3, -2*x = 2*p + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*r + 10, 6 + 7 = r - 4*p. Let m be (40\/15)\/(-2 + r\/(-3)). Solve 3 = -5*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + -5. Let o(f) = -17*f + 5. Let n be o(-6). Let x = p + n. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.442144 - -0.619257. Let x = 31 - 31.177. Let g = b + x. Round g to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/220)\/(2 + (-8)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 5. Let q(s) = 2. Suppose 5*i - 16 = 3*i. Let d = i - 2. Determine d*q(u) - 2*c(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**3 + 2*l**2 + 6772*l + 3496958 wrt l?\nAnswer: 12*l**2 + 4*l + 6772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = -455189*h + 455135*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 16\/5, -3, 4 in descending order.\nAnswer: 4, 16\/5, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17475949?\nAnswer: 17, 179, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 5*f + 11. Let c be g(-7). Let s be 551\/(-38) + 2*(-1)\/(-4). Sort 4, s, c, -5.\nAnswer: s, -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1648 in -4, -3\/2, -1\/4, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {u: 3, n: 1, v: 2, m: 3, b: 1, f: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 62 = -2*k, -70 = -4*z - 261*k + 256*k. Let t(c) = -c - 6. Let q be t(-8). Solve 0*v + q*v = z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-6) + 9\/54. Solve 5 = -2*p - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -2\/13 (c) 2\/7 (d) -22387.2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 - 4*c**2 + 4*c + 6. Let u(g) = -17*g**3 + 9*g**2 - 9*g - 13. Let m be ((-108)\/90)\/((-2)\/10). Determine m*u(b) + 13*a(b).\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3319 + 24680 = 1527*n - 25446 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 1\/1 + (11 - 7). What is the second derivative of -117*q**2 + q + 6 + 56*q**2 + 60*q**n - 12*q**4 + 1 wrt q?\nAnswer: -144*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/2 + 771*x**3 + 202719*x**2\/2 + 587502*x + 870966.\nAnswer: 3*(x + 3)**2*(x + 254)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -4\/3*g**3 - 7\/2*g**2 + 13 + 6*g + 1\/4*g**4. What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b**3 + 19*b**3 - 216 - 3*b**3 + 19*b**3 + 6592700*b**4 + 219*b**2 - 42*b - 6592703*b**4 = 0.\nAnswer: -4, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a - 21. Suppose -5*d + a*d = 0. Let r be (-1476)\/2856 - (-2)\/(-28). Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) -2\/11 (c) -684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339192031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 2*u**2 + 2*u**2 + (1 - 3 + 4)*(-1 + 1 + 2*u**2) - u**2 + 2 - 2 + (4*u + 3*u - 4*u)*(u + 2*u - 5*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -716723\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -1. What are the prime factors of 37*(3 + -5)\/q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247123 and 11359?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277 = 274*r + 2239 - 3535 - 17243 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5732480 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 - (-3 + 4)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 57*n = -28*l + 927, 105 = -2*n + 3*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 42.37139 hours?\nAnswer: 152537004000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 76. Suppose -c - 3*c = v. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 1380?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 + -198. What is the hundreds digit of (15\/(-45))\/(d\/6) + 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.2 - 35. Which is the nearest to 0? (a) f (b) 2\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3612122?\nAnswer: 2, 1806061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -108136a - 4?\nAnswer: -1081371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19 - 31)*(-8)\/(-6). Let y be (2\/(-6))\/(17 + x). Which is the closest to 1? (a) 1 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 + -4 + 6\/(-1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) 1\/5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 57*j**2 - 320*j - 614. Let p be w(-51). Sort -8, 3, -5, p in decreasing order.\nAnswer: p, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 11*a + 18. Let g(t) be the second derivative of t**3\/6 - t**2 - 177*t. Let i(c) = 6*g(c) + p(c). Let m be 26\/4 + 1\/(-2). Determine i(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15) - 96\/(-45))*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 bigger than 198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/5 of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*t**5\/11 + 70*t**4\/11 + 101*t**3\/11 - 62*t**2\/11 - 52*t\/11 - 8\/11 = 0. What is t?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1488 - -378. Suppose -s + 951 = -4*p, -2*s + p = 5*p - k. Suppose 4*f + 119 - s = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + 2*p**2 + 7*p + 13 - p**3 + 2*p**2 - 3*p**2. What are the prime factors of m(7)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(156)*1 + sqrt(156) + (sqrt(156)*-2 - sqrt(156))*-3)\/((2*sqrt(96))\/sqrt(8) + -2*sqrt(192)).\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 - 8*u**3\/3 - 2*u**2 + 138. Let y(s) = s + 14. Calculate the remainder when z(9) is divided by y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/33 - 134*s**2\/11 - 17956*s\/11 + 442. Solve b(w) = 0.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*m + 82, -115 = -5*m - 0*m - 5*u. Let l = 18 - m. Find j, given that l*j**4 + 1\/2*j**5 + 0*j**2 + 0 - 1\/2*j**3 + 0*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 + 64690044*a + 1046200448180484 = 0.\nAnswer: -32345022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-1206285)\/252600 + (-2)\/(-10). Let j = -1\/2105 - v. Find the common denominator of j and 143\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wszsswzbgbmz. Give prob of picking 1 z and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 - 18*c**4 + 61*c**3 - 72*c**2 + 28*c = 0. What is c?\nAnswer: 0, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-5)\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 0*t**2 - 4*t**2 + 4*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**(-6)*m**11*m*m*m**(1\/15) assuming m is positive.\nAnswer: m**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158812.\nAnswer: 2, 39703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -89. Suppose -18595 = 20*y - c*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 236.3644 decades?\nAnswer: 28363.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*k - 35, -12*k + 10*k = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p**2 + 0*p**2 + (p + 2*p + 0*p)*(5*p - p - 2*p) - p**2 + 3 - 3)*(p**2 + 3*p**2 - 2*p**2).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(69 + -3). Let r = v - 59. Calculate the greatest common divisor of 100 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(10)\/(sqrt(245) - (sqrt(245)*-2 + sqrt(245)) - sqrt(245)).\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 39*c - 330 = 0. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 11\/3*z - 2*z**2 + 1\/3*z**3.\nAnswer: (z - 3)*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452832641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmep. What is prob of sequence mpm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-51) + (-4)\/3)\/((-21)\/756)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -23. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -3\/4 (c) 12807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16*d + 56 = 0. Solve t + 4*t - 4*f + 45 = 0, -d*t - f = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 6*t + 7. List the prime factors of m(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i + 150. Let x be d(10). Suppose 4*a - 20 = x, -1379 = -2*t + 5*a - 52. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 7*y + 69. What is the remainder when y is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 16}. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 2*l**2 - 2*l + 16. Let s(y) = -y + 5. What is the remainder when x(0) is divided by s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4379.\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 4. What is the first derivative of -8 + 2*i + 12*i**3 - 19*i**3 - a*i wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 112*r + 6 + 18*r.\nAnswer: -94*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 52. Factor -3\/2*g**2 + 0 + u*g.\nAnswer: -3*g**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -1615, -4355, -8201, -13159, -19235, -26435?\nAnswer: -34765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k - 261*k + 2*d + 6314 = 125*k, 2*k + 5*d = 44 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -13*m**7\/42 - m**4\/12 - 4*m**3 - m + 13. What is the third derivative of r(l) wrt l?\nAnswer: -780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x*x*x*x)\/x**6)**(2\/21) assuming x is positive.\nAnswer: x**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/22 - 22383\/(-11).\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(4\/(-6 - (6 + -10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.96 - -0.04. Let w = 9 - x. Suppose -3*d = -5*o - 11 - 3, 4*d = 2*o. Sort w, 5, d in decreasing order.\nAnswer: 5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5665, -9185, -15049, -23257, -33809, -46705?\n\"Answer: -1172*p**2 - 4*p - 4489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -159*z - 306. Determine p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23298 by -8.\nAnswer: -11649\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-4\/9)\/(t\/(t\/(t**(3\/2)*t)*t))**(10\/7) assuming t is positive.\nAnswer: t**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 16*w**2 - 2*w + 5. Let o be m(16). Let a = -31 + o. Let c = -32 - a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5133171639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10159?\nAnswer: 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose -4499998 = 3*r + 2*a, o*r + 2*a + 3000002 = 4*a. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 + 1853\/8. Let k = 9.6 + -10. Put k, 2\/5, c in increasing order.\nAnswer: k, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**3\/3 + 11*u**2 - 171*u + 92. Let d(w) be the first derivative of k(w). Determine d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -10)\/((-12)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14e4 (base 16) to base 15\nAnswer: 18b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 + 338. Let o = 5051 + -5183. Let t = o - n. Solve 20 = t*l - 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423284 is divided by 477.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 282*l**2 - 8*l**3 + 802*l**2 - 259*l**2 - 259*l**2 + 13 + l**3.\nAnswer: -7*l**3 + 2*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p. Let d(k) = -2*k - 7. Let m be d(-6). Let s(o) = -6*o. Let q(g) = m*x(g) - 6*s(g). Suppose 5*f = 25, w - 12 = -2*f - 3. Calculate q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1 - 2. Suppose -2*t - 5 = -c*t + z, -4*t = 3*z + 1. Suppose 3*l + 0 = n + 10, 4*n - 12 = -l. Calculate the remainder when t is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*t + 766*t + 385 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w*w\/(w**(-23\/2)\/w)*w*w assuming w is positive.\nAnswer: w**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 3*w + 4. Let p be y(-4). Suppose -6*v + 2*v = -p. Which is the biggest value? (a) 5\/4 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 0*f**4 + 3*f**4 + (f**3 + 2*f**3 - 5*f**3)*(56*f - 106*f - 228*f).\nAnswer: 559*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104452b (base 13) to base 7.\nAnswer: -60036411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 26*w. Let s(q) be the third derivative of 1\/210*q**6 + 1\/735*q**7 + 0 + 0*q - 1\/210*q**5 + 4*q**2 - 1\/42*q**4 + w*q**3. Factor s(m).\nAnswer: 2*m*(m - 1)*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37781721.\nAnswer: 3, 466441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5984)\/(-3400))\/(-4 - (-72)\/20).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 78992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3 - (-2 + 0)) + (33 - 4669\/138).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r + 2948. Let p(a) = 19*a - 2947. Calculate -2*p(v) - 3*w(v).\nAnswer: v - 2950","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 641078 + 31197.1\nAnswer: 672275.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/9, -4, 364, 11, 2\/17 in decreasing order.\nAnswer: 364, 11, 4, 2\/9, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/805792 and 113\/1007240.\nAnswer: 4028960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1709447, 3418892, 5128337?\nAnswer: 6837782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 195. Which is smaller: 175 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r + 10. Suppose -5*s + r = -3*s. List the prime factors of (2 + 0)\/(s\/15).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7096*x**3 - 10013*x**2. Let w(j) = -1419*j**3 + 2002*j**2. Let k(a) = 2*i(a) + 11*w(a). What is the third derivative of k(y) wrt y?\nAnswer: -8502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 1, z: 1, a: 1, f: 5, o: 3}. Give prob of sequence hao.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:21 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + 6*w + 8. Let i be u(6). Let d be ((-75)\/(-20))\/(2\/i). Does 3 divide 16*(d\/6 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + ((3 + 0 + sqrt(539))**2 - -3*((sqrt(539) + 1 + sqrt(539))**2 - sqrt(539))) + (sqrt(539) - (sqrt(539) + 2*sqrt(539) + 0) - sqrt(539))**2 + -2).\nAnswer: -59330 - 525*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2858.38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42608424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Suppose 65 = l*h + 3*s, 2*h - 11 = h + s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*o - 32 = 0, 0*b - 2*b + 5*o = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 91*g**2.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(128) - (0 + sqrt(128))) + 4) - ((sqrt(128)*-2 - sqrt(128)) + 3 - (sqrt(128) + sqrt(128) + sqrt(128) + -2 + 1)))**2.\nAnswer: -1152*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066765 = 139*r - 817102. What are the prime factors of r?\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1172 divide 639647128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 100.\nAnswer: -7, 0, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 773.6 + -773.7. Which is smaller: y or 336?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 10*i + 14*i = 0. Factor -3\/5*c**4 - 1\/5*c**2 + 0*c + i - 3\/5*c**3 - 1\/5*c**5.\nAnswer: -c**2*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/8)\/(21\/(-28)). Let t = 11 - 6. Which is the closest to f? (a) 0 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26404 - 132*w + 26404 + 134*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6 - 15*l + l + 3. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 2, l: 3, o: 3, z: 2, h: 1}. Give prob of picking 1 o and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -21121*m + 21110*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21981 + -43965\/2. Let k = 1.9 + -1.7. Sort 1\/4, w, 3, k in increasing order.\nAnswer: w, k, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 13*c**2 - 16*c + 53. Let d be a(12). Solve 0 = -2*l + d*h - 12, -3*h - h + 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -20*c. What is y(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/(5\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)*2)\/sqrt(3))\/(sqrt(18)\/sqrt(2)*-2) - (-1 + -1*sqrt(12)\/sqrt(6) + (sqrt(242) + sqrt(242)*3 - sqrt(242)))**2.\nAnswer: -2049 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0886 - 202.6886. Let d = 202.600000853 + p. What is d rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 4*b**2 - 3*b + 0 + 3\/5*b**5 - 2*b**3 - 2\/15*b**6 - 1\/3*b**4. Factor a(h).\nAnswer: -4*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 7*c + 26. Suppose c*k = -0*k + 126. What are the prime factors of 1038\/k + 16\/28 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 5. Let j(x) = -2*x**2 + 3*x + 4. Let d be j(3). Put -3, d, r in decreasing order.\nAnswer: r, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 31 = 5*h, 2*l - 6*l = 2*h + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Solve b + l = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 + 90668*h**4 - 272044*h**3 - 90668*h**2 + 272040*h = 0?\nAnswer: -22670, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 129 + 35 + 20*v - 12*v + 94.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose z + 2 = h*z. Let i be (-4)\/12 - 7\/42. Sort 2, i, z.\nAnswer: i, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -26 (c) -1.8 (d) -2\/9 (e) -4 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 18 + 5*x + 39 - x**4 + 0*x**3 + x**2 - x**3 as r*x**3 + l*x + p + o*x**4 + z*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4 + 969*l**3 + 58821*l**2 - 120537*l + 60750 = 0. Calculate l.\nAnswer: -54, 1, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 114. Let b be t\/(-30) - (-122)\/12. Solve -5*l - 5*q + 0*q = b, l - q - 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 28. Let h(r) = -4 + 0*r + t - 3*r. Is h(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5762095 to 3 decimal places.\nAnswer: -3.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3))**(-2\/33)\/(g**(-3\/2)*g*g**(2\/17))*(g**(-1\/7)\/(g**0\/g*g))**(-2) assuming g is positive.\nAnswer: g**(13361\/23562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - 0) - (-73 + 73)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 8*w**2 - 3*w + 9*w**2 - 15 + 24*w**3. Let l be q(-13). What is l rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*w**3\/8 + 13935*w**2\/8 - 1389*w + 555\/2.\nAnswer: -3*(w - 185)*(5*w - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 12. Suppose -p*k - 2*k = -4. Is ((-322)\/28)\/(k\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/67)*p)\/p*p*p*p)\/p*p*p*p\/(p**(-1\/12)*p)*((p*p\/p**(-18))\/p*p)**26 assuming p is positive.\nAnswer: p**(422191\/804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.5, -1, 0.2, 3\/16, -26\/7?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10749 divided by -21\nAnswer: -3583\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -54. Suppose -12*z = -17*z. Suppose z = -3*t - 91 + 34. Is t <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -31. Find the third derivative of 8*c**3 + f*c**2 + 11*c**3 - 16*c**3 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120435*f = 120429*f + 78 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 - 4*q**3 - 13*q**3 + 30*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.28979m to micrometers.\nAnswer: 83289790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 860\/43 + 1434\/(-72)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-18)*((h\/(h\/h**(-4\/3)))\/h)\/(h*h*h**(1\/5)\/h*h) assuming h is positive.\nAnswer: h**(472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3761622 greater than -3761610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674323998, 674323997, 674323996?\nAnswer: 674323995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -36*y - 217. Let q be w(-6). Let o be (-2)\/6 + (-16)\/(-21). Which is the smallest value? (a) q (b) -0.1 (c) -3\/13 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 6*l**2 + 7*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7353427?\nAnswer: 127, 57901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*j**2 + 20 + 0 - 7 + 233*j**2.\nAnswer: 153*j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r*w**4 + r*w**3 - 4*r*w**2 - 28777*r + 48*w**3 wrt w.\nAnswer: -168*r*w + 6*r + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -17*m + 190. Suppose 0 = 17*o - m*o + 116. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/62851 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 1 - 28557*i**3 + 14473*i**3 + 14102*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71530 and 70?\nAnswer: 500710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**3*h)**(-3\/17)\/(h*h*h**9*h**(-5\/4)) assuming h is positive.\nAnswer: h**(-735\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24500, -97865, -220136, -391313?\n\"Answer: -24453*h**2 - 6*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*o - 71. Let y = o - -34. Calculate the highest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643948299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m**2 - 2. Let y be g(-2). Suppose 15*n + 320 = 1295. Let k = n - y. Solve f = k*v - 3*f - 18, v + 7 = -3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -435.3 - -435.46. Which is the biggest value? (a) -2\/13 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 11. Suppose -31 = -4*r + s*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 178. Solve m + 26 = 3*h + 10, 0 = -n*m - 5*h + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and -71\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -59, -5, -3.\nAnswer: -59, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77319883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**31*x**(-3\/5))\/(x**26\/(x**(2\/33)\/x)) assuming x is positive.\nAnswer: x**(571\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.185 + -0.2289. Let u = p - -232.0439. Let w = 232.0206 - u. What is w rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -4) + -4)*((-2091)\/261 + 8)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394 = 25*u - 169 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5092915 to four dps.\nAnswer: -0.5093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u - d = -127, -d + 52 = -2*u. Let z = 6 - u. Let f = 31 - z. Are f and 0.06 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92.7996094 and -24.7?\nAnswer: 117.4996094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p + 4. Suppose -n + 6*n + 15 = 0. Is t(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 10*u - 9. Let w be d(7). Let s be (w\/9)\/(1\/9). Let j be (12\/s)\/((-1)\/5). Solve j*f - 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 6*q + 147. What are the prime factors of (25*11)\/(-20 + q)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/10 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32745 divided by 5.\nAnswer: 6549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57842127 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40448\/222343 - -2\/20213. Let u = -6\/29 - -88\/145. What is the nearest to -2 in u, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1.6.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*n + 318. Which is smaller: n or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1 + -2 - ((-570)\/30 + 23)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2700 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - 23?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7768465 + -0.1.\nAnswer: -7768465.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*a = 2*a - 20, -15 = 2*w - a. Let r(s) = 3*s**2 - 4*s + 5. Let k be r(w). Suppose 6*i = 4*i + k. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1225 - 5482.\nAnswer: -6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435164.\nAnswer: 2, 108791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1350 and 11735600?\nAnswer: 316861200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/8 - 9*q\/4 + 19\/8.\nAnswer: -(q - 1)*(q + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*v + 15. Suppose 5 = 3*q - v. Suppose 0 = q*b - 5*b. Solve a = -z - 1, 4*a + b*a = 2*z - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -92\/3, 2\/7, -0.4, -3?\nAnswer: -92\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjccxxmxjamcjjccjm. What is prob of sequence xccm?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.4, -2, -503, 922, 2\/3 in decreasing order.\nAnswer: 922, 2\/3, 1\/3, -0.4, -2, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m + 30. Let n(t) = 7*t**2 + 1. Let h be n(-2). Let a = h + -19. Calculate the remainder when a is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0.06 (b) -5 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 16 = v. Let o = -4313 - -4318. Sort o, v, 3 in descending order.\nAnswer: o, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**3 + b**2 - 2*b + 1. Let i be q(1). Suppose 5*g + 0 = i. Suppose 0 = t + 3*t. Put t, -3, g in decreasing order.\nAnswer: g, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 1. Let q be l(-1). Let z = q + 1. Let u be -4*(z\/2 + 0). Let h(o) = -o**2 - 5*o - 2. Determine h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 1280*c**5 + 30*c**3 + 494*c**2 - 2295*c wrt c?\nAnswer: -120*c**3 - 76800*c**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 5*j**4\/24 + 7*j**3\/6 - 9*j**2 - 6. Let y(m) = 6*m + 8. Determine -5*g(n) + 4*y(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by 309.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d0c - -cd?\nAnswer: -3c3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50056*b - 50060*b + 8, -5*f - 1 = -3*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 + 4 - 1 - 2 + (-2 + 0 + 1)*(3 - 4 + 0) + 2 + 0 - 1 - 2 - 3 + 3)*(-14*o**4 + 7*o**4 - 17*o**4).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ba81 (base 12) in base 15?\nAnswer: -82c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066783 times 723?\nAnswer: -48.284109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 7*p - 3*p - 272, -3*p = 5*w - 204. Suppose 15*f = -3*d + 63, 37*d = 32*d + 5*f + 285. Calculate the greatest common divisor of p and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least as big as 8245\/352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*i = 16, 0*q - 5*i + 24 = q. Sort -2, q, -5 in decreasing order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 9. Suppose -43 = 3*f - 5*d, -5*f - 42 + 7 = -d. Let x be m(f). Let y be (-9)\/2 - x\/(-10). Sort 0, y, 11 in descending order.\nAnswer: 11, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(-5 - 26) + -2. Find the third derivative of -9 - 8 - 14*s**2 - l*s**4 + 17 - 27*s**2 wrt s.\nAnswer: -6648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 12 + 26 + 0)*(3*d**2 - 3*d**2 + d**2) + 1 + 4*d**2 - 1.\nAnswer: 141*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717510299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 9*c**2 - 3*c - 13. Let w(b) = -b**2 - b - 9. Let m be 2 - (2 - 1) - 1\/1. Let r be w(m). Is 7 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2732180 and 70539920?\nAnswer: 775939120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 18*g**2 - 16*g + 76. Let y be s(-19). What is the remainder when 3 is divided by (-1)\/2*19\/(y\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -227762295 and -4?\nAnswer: 227762291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 17 - 19. Sort 5, -3, h, -4\/9 in decreasing order.\nAnswer: 5, -4\/9, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.774904 hours to days.\nAnswer: 0.115621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = -3*v + 28, 16 = 4*v. Suppose -x*y - 40 = -5*n - y, -n - 10 = 3*y. Solve -n = r - 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.9121 - 18. What is g rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246925585?\nAnswer: 5, 23, 359, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196 - 158. Calculate the remainder when 74 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*(-21)\/4*(-2808)\/378\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00772577 rounded to 5 dps?\nAnswer: -0.00773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.4 (c) -927.2541 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33828 (base 10) in base 6?\nAnswer: -420340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -40*z - 10. Let a(r) = -10*r. Let x be a(-1). Let q(t) = -13*t - 3. Let w(k) = x*q(k) - 3*l(k). Let b(i) = -i. Determine b(w(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + m**4 - 2*m**4)*(10 + 6*m - 4*m - 8).\nAnswer: -2*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*y = 10, q - y - 2 = 6*q. Suppose 136 = -4*l - 3*z + 559, l + 2*z - 112 = q. Let k = 103 - l. Put 2, k, 11 in decreasing order.\nAnswer: 11, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.04 + -6.04. Let w = -6 - -5. Suppose 6 = -3*h, 2*r - h - 16 = -8. Which is the nearest to -2\/11? (a) w (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o**2 - 11*o - 6. Calculate w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u. Let b be p(-3). Calculate the greatest common divisor of 369 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v - 740 = -3*m, -5*m - v + 1216 = 0. Let h = 17349 - 17105. Is m <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**3 - 72*h**3 + 39*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 31. Let y = x - 1. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1785, -3681, -5567, -7443?\n\"Answer: 5*d**2 - 1911*d + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1358, 2720, 4080, 5438?\n\"Answer: -r**2 + 1365*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 + 209. Suppose -4*p + x + 13 = 0, -2*p + c = 6*x - 8*x. Let t be 3 - 3 - (0 + 0). Solve t*n + 2*w = -2*n + 8, p*n - 5*w - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h**2 - 2*h + 6. Let t be i(5). Suppose 2*x + 1 - t = 0. What is the greatest common factor of 25 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3562974 by -3.\nAnswer: -1187658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -476*f**2*q**2 + 289*f**2 - 1 wrt q.\nAnswer: -952*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -19*t**2 + 85*t - 2. Let x be r(2). Let n be x*(-6)\/(-6) - -5. Which is smaller: 99 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (441\/(-18))\/(-2*(-1)\/(-4)). Suppose 0 = 2*n - 4, 4*t + 9 + f = 3*n. List the prime factors of (-1)\/t*-2 - (-3358)\/26.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by 445030.\nAnswer: -37\/89006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 583437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2.26 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/(g*g**17))))\/g)\/(g**(-2)*g))\/(g*g**(-26)*g*g\/g**15*g) assuming g is positive.\nAnswer: g**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13923720 divided by -4641240\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116.4999803 + 116.5. What is f rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9094, -8970, -8856, -8752, -8658, -8574?\nAnswer: -8500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9009 is divided by 196?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 7. Let v = 664 - 664.0533. Let n = -5.0533 - v. Sort y, 3\/8, 1, n.\nAnswer: n, y, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, l: 3, a: 3, w: 3}. Give prob of sequence lvw.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16752a9 + 1?\nAnswer: -16752a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 11, -2, -31, -76, -137, -214?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**7\/42 - u**6\/12 - 7*u**5\/12 + 5*u**4\/3 + 10*u**3 - 2*u**2 - 675. Suppose v(d) = 0. Calculate d.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 18*n**4\/5 - 71988*n**3\/5 + 71952002*n**2\/5 + 9598400*n + 1600000 = 0.\nAnswer: -1\/3, 2000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 8. Let j be (8\/(-16))\/((-2)\/24). Is p(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let z(w) = -w + w + 5*w - 2 - 6*w. Let k(r) = -1. Let l(v) = 2*k(v) - z(v). Calculate l(j(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 + 6 - 2) + -5)\/(8\/(-16)). Are -178\/51 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 75 = -0*h + m, -h + 2*m + 25 = 0. Let w = h - -8. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v - 0*v + 2*w, 5*v + 4*w - 8 = 0. Suppose 2*c - 4*p + 12 = 6*c, v = -3*c + p + 9. Solve -c*u - 8 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:45 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i - 4. Let r = 1.38 - 1.2. Let g = -0.48 + r. Which is the closest to i? (a) -3 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {p: 2, t: 3, o: 9, w: 1, s: 1, d: 3}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1672.150851ms to weeks.\nAnswer: 0.0000027647996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 35*a. Let i(s) = -116*s**2 + 1. What is i(n(d))?\nAnswer: -142100*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + 0)) + (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176860181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165430 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89.139 + 0.139. Let u = h + 85.96. Let m = 0.04 + u. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/39511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = h - 2. Let d = -22 - h. Find the second derivative of -5*a**5 + 7*a**5 + 23*a**5 - 8*a - 2*a**d wrt a.\nAnswer: 460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2835) + sqrt(2835) + 3*sqrt(2835))*3)\/(2*sqrt(14)\/(-3*sqrt(2))))**2.\nAnswer: 820125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-73)\/(-365))*1161\/45*-1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 60 = 3*h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/9512330 and -3\/376.\nAnswer: 38049320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 47*b**2 + 374*b - 12. Let a be f(-8). Solve 8 = -a*w - 4*h, h + 14 = 4*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let a(l) = -21*l - 7. Let z be a(-2). Let g = 44 - z. Calculate the smallest common multiple of d and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z - 13 + 22. Put 0, -1, z, 2, 5 in increasing order.\nAnswer: z, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 330 = f. Let i = -30 - f. What is the highest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5\/3 - 35488*t**4 + 707558480*t**3\/3 + 11361424960*t**2\/3 - 29322471168*t + 124830362624\/3 = 0.\nAnswer: -22, 2, 4, 13316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 19*u**2 - u - 9. Let z be l(-19). Let q be 0*(-2 + 15\/z). Suppose -a + 7*a - 600 = q. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 + (-1 - -4). Let l be (3 - w) + (2 - 2). Suppose 0 = 5*f - 2*f - 15. Solve 3*a - f = -l*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 26 = -38. Solve 4*g + 8 = l*h, -5*g - 28 = -g + 2*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 - 6*u + 19. Suppose 33*q = 66*q + 264. Calculate n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of (-3)\/12 - (-439137)\/(-48)*(-276)\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 6*m**2 - 42*m**2 - 10*m**2 - 142*m**2 + 20*m**2 + m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 + c + 4. Let s(z) = -2*z - 4. Let g(d) = -s(d) - 3*u(d). Let h = -2 - -1. Calculate g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 7*j**2 + 9*j - 9. Let y be b(8). Let a be 4 + y + 2\/(-1). Solve -m = -3*r - 3, 5*r + a = 4*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7448 and 3192?\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/36 + -7 + (12488\/(-18))\/28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/342*1*3)\/((-2)\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:41 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/((-2)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6356.9 - 4023. Let x = -2334 + o. Let p = 8 + -12. Which is the nearest to x? (a) 0.2 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -23.5. Sort -2\/3, p, 2\/31.\nAnswer: -2\/3, 2\/31, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -5, -0.06, 0.\nAnswer: -5, -0.07, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 286*t**2 - 2*t - 3. Calculate the remainder when u(-1) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -79. What is the highest common factor of l and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (776\/(-32) - (0 - 24))*(-4 - 248*-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 19*h + 7117 = -23*h, -2852 = -2*q - h. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1250 and 30271625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -588362763.9851?\nAnswer: -588362763.8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 15*z + 5 - 3*z)*(-2*z - 1 + 2*z + 2*z**2)*(10*z - 19*z - 29*z) in the form y*z**3 + w + x*z + d*z**2 + m*z**4 and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105176.38 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a - 49 + 10669. Suppose 9 = 2*z + 3. Suppose -6*l + 580 = -l - z*n, n + a = 5*l. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -353 - -731. Let z = u + -378. Which is the third smallest value? (a) -10 (b) 2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5649924 is divided by 2152?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 23*j**2 - 27*j - 40. Let d be p(-24). What is the greatest common factor of 3 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1100250.\nAnswer: 2200500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 - j + 1. Let r be -3*4\/6*1. Let h(w) = 4*w**3 - 3*w**2 - 3*w + 4. Let v(c) = r*h(c) + 6*u(c). Differentiate v(g) with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 69, 244, 569, 1092, 1861, 2924?\nAnswer: 4329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 7:19 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -18*o**5\/5 + 41*o**2\/2 - o + 62. Find the second derivative of w(c) wrt c.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 53. Suppose 0 = 3*r + 8*r - 242. What is the hundreds digit of f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14062.1864 and -0.1?\nAnswer: 14062.0864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 20 + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.6368 to one decimal place.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 98. Suppose 3*q + o*q = 14. Find the third derivative of 32*x**2 + 40*x**4 - 22*x**2 + 37*x**q wrt x.\nAnswer: 960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 525*r**3 + 526*r**3 + 20*r**2 + (1 - 2 + 2)*(-3*r**3 + 0*r**3 + 5*r**3) to s*r**2 + d*r**3 + u*r + y and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**29*a**(3\/14))\/(a**(2\/87))**(-10) assuming a is positive.\nAnswer: a**(35863\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = 5*w, 2*w - 3*w - 6 = 2*g. Let l(f) = f - 1. Let k be l(0). Which is the nearest to k? (a) 0.4 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 7, d: 5}. What is prob of picking 1 d, 2 b, and 1 z?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 2*l - 130, -p - 45 = -3*l. Let z be 2\/4 - p\/(-28). Let s = -59.1 + 65.1. Which is the nearest to 1\/2? (a) z (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000294655 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.069878.\nAnswer: 0.069878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30152 + 2?\nAnswer: -30150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4255, -4217, -4165, -4105, -4043, -3985?\n\"Answer: -r**3 + 13*r**2 + 6*r - 4273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1 - 2*r + 17*r**2 + 6*r - 3*r. Let u be q(1). Suppose -4*b + g = -u, -6 = -4*b + 2*g + 8. Are b and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -1322.\nAnswer: -1057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)\/n**(-3\/2)*n**(-1\/4)\/(n**(-3\/10)*n))**(-15) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 12*w**2 + 4*w + 4. Let c be z(0). Solve -m + l = -3*l - 7, -c = 2*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) 2\/5 (d) 10732 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6\/(-6))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1103978a - -3?\nAnswer: -11039787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30907 - 30907 - 714*j)*(2 - 2 - 2*j + (-1 + 3 + 0)*(2 - 2*j - 2))*(-j**2 + j**2 + j**2) to the form u*j**2 + b*j**4 + o*j + h*j**3 + t and give b.\nAnswer: 4284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 + 4*s + 21*s**3 - 4*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 4*y. Let a be 1\/(2\/(-2)) - (-4 - -7). Let r be k(a). What is the third derivative of -116*b**4 + 0 + r + 8*b**2 + 124*b**4 wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 38. Let k = -5 - v. Is k bigger than -83\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 3, v: 5, u: 3, b: 2}. What is prob of picking 2 u and 2 p?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 0)*(-13 - 8 - 2)*(-1 - 3 + 3)*(51*r - 72*r - 62*r) to the form k + z*r and give z.\nAnswer: -7636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -946*f**3 + f**2 + f - 1. Let r be s(1). Let c = r + 82216\/87. Let n = 1475\/348 + c. Are n and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(25\/2))**(-7)*(a**5)**(1\/13) assuming a is positive.\nAnswer: a**(-2265\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 <= 957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -10\/13, -7, 0.1, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6863488 and 850048.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*d - 34 - 7, 2*b = -3*d + 23. Suppose 7*s - 5*f = 3*s + 509, -3*s - b*f + 343 = 0. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113173374?\nAnswer: 2, 3, 31, 608459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 17*q**2 - 15*q + 13. Let c = 27 - 11. What is the tens digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 54 = -9*u. Suppose -22*l - 8 = -u*l. Calculate the smallest common multiple of 3 and (l - -1)\/(-1) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12753 (base 15) to base 13.\nAnswer: 20b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.05 - 0.05. Let z = l - 10. Let t be (-6)\/3 - 1*-5. Which is the smallest value? (a) 2 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let f(p) = 33*p - 20. Let d(n) = 297*n - 176. Let h(c) = 5*d(c) - 44*f(c). Let o(w) = 2*h(w) - 21*r(w). Let v(i) = 5*i - 1. Give v(o(l)).\nAnswer: 15*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/1152*16*-38)\/((-1)\/(-3)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -k + 2, -3*p = -5*k + 278 - 319 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70699 (base 10) in base 13?\nAnswer: 26245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/11 - 49\/66. Which is the biggest value? (a) 4\/7 (b) -2\/103 (c) w (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 5*y = -8, 0 = -2*r - y + 2. What is the remainder when 9 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/62489 + -119088\/1424311777. Let f = j - 15476249\/1504338. Let o = f + 49\/11. What is the common denominator of o and 51\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4624702 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623236670?\nAnswer: 2, 5, 7, 19, 468599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -0.03, -1, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 124 + -163 + 49 - (0 + 8 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 2*w**3\/3 - w**2 - 4*w - 4. Let m be v(-3). Solve 3*r + 0*r - 3 = 0, -m = 4*i - 3*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -161748, -323560, -485360, -647142, -808900?\n\"Answer: m**3 - 161819*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.29814 - -15.3. What is t rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 38. Let j = l + -70. Let d = -34.5 - j. What is the smallest value in d, 2\/7, 2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7168, -14059, -20952, -27847?\nAnswer: -34744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 724978564 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6607, -506, 18307, 49832?\nAnswer: 94069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56474 and 3366.\nAnswer: 508266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 2, i: 2, u: 4}. Give prob of sequence uuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 13*h - 23*h + 35*h + 80 = 0, -2*h = -16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1886 (c) -0.5 (d) -16\/3 (e) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*y + 2*y - y + (0 + 1 + 0)*(-4 - y + 4).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/75 and -151\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 643241055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2792 * 105.7\nAnswer: 295114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*m - 72*m + 4861 + 1766 + 235*m + 3*m**2 = 0. Calculate m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((158\/(-553))\/(8\/126))\/((-2)\/((-32)\/(-6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from occccoppcooppoocc?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*u + 669*u - 1709*u + 12423 + 9378 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6741528973 + -0.002796\nAnswer: 6741528972.997204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-336))\/((27\/(-6))\/9).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*c - 264. Let i = 39 + c. Let q(w) = -w - 5. Let j be q(-5). Solve j = -2*l - 0*l - i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2679, -5, 26, -3.\nAnswer: -2679, -5, -3, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 457.6 + -458.08254. Round d to three dps.\nAnswer: -0.483","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 12. Suppose -2 = -3*v + n. Suppose v = 2*g - 2. Solve -2*q + 4*r = -14, -3*r - 19 + 8 = -g*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25320, -25242, -25030, -24618, -23940, -22930, -21522, -19650?\nAnswer: -17248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.279 - 14.679. Suppose 0 = 4*x - x. Which is the fourth biggest value? (a) x (b) 2 (c) z (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + -2.7. Let r = c + 4. What is the nearest to r in -4\/5, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 2425900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -18, 5, 0.02, -0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56976, -64934, -72892, -80850, -88808?\nAnswer: -96766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8.3805\nAnswer: 13.3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 251005385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f - 4 + 128*f + 4 - 64*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 244*v + 263. Let s(t) = 5*t**2 - 245*t + 260. Let a(p) = -5*b(p) + 6*s(p). Factor a(k).\nAnswer: 5*(k - 49)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s - 577. Calculate u(-44).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16390, 32795, 49206, 65623, 82046, 98475?\nAnswer: 114910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(-4)\/(-40)*-5. Suppose -u*h + 89 = 13. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + i + 121 = 6*i - 2*i, 2852*s + 254 = 2848*s + 2*i for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**5)\/((w*w**(-3\/5)*w*w*w)\/w)*(w**(-1))**(3\/4))\/(((w**1*w)\/((w\/((w**(-3)\/w)\/w))\/w))\/(w**1\/(w*w**(-1\/9)\/w*w))) assuming w is positive.\nAnswer: w**(1073\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -52. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.345 rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5598330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/4, -6.04, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1240797592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2447, -9877, -22269, -39623, -61939, -89217, -121457?\nAnswer: -158659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose 20 = 33*w - 46. Calculate the remainder when (-24)\/(-4) - -3 - g is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 36 = 2*c. Let m = -26 + 38. Let v = m - 4. Calculate the least common multiple of c and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(25\/(-15))*1\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-88)\/297*(-165)\/88.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1550 and 23560.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is 27 (base 12) in base 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1372 - -1374. Solve -4*p + j = -4, -i*j = 3*p - 2 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:03 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2693 - 2540 + 5528 + 5*m - 2*m**2)*(3*m**2 - 2*m**2 - 2*m**2).\nAnswer: 2*m**4 - 5*m**3 - 295*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2 + (7 + 29 - 4)*(2 - 2 + 2))*(5*f**2 - f**2 - 2*f**2) as y*f + i + v*f**2 and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101 - -333410?\nAnswer: 340011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44663461 to three dps.\nAnswer: 0.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = f + 252. What is the lowest common multiple of 21 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:24 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 162, 272, 420, 618, 878, 1212, 1632?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 166. Calculate the common denominator of (-1)\/5 - d\/130 and -43\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -745*j*l**2 - 38*j*l + 1323*j - 713127753*l**2 with respect to j.\nAnswer: -745*l**2 - 38*l + 1323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/(-30) - 2\/(-10). Let h = -4.22 + 6.22. Which is the biggest value? (a) h (b) t (c) -5\/3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77318*l**3 + 3*l**2 + 286509 wrt l?\nAnswer: -231954*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*4\/14 - 13. Let p be 2\/l - (-798)\/33. Suppose -p*i - 732 = -28*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v - 2*v)*(4 - 1 + 3) + (-12 + 10 + 23)*(-23 + 23 - 2*v).\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:09 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9661*l*r**2*y + l*r*y + 2*r**2 - 1037*r*y + 9 wrt l?\nAnswer: 9661*r**2*y + r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.03, -0.009, -29?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -41. Let l = x + 2.3. What is the nearest to 1\/2 in 0.09, 6\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t + 13*t - 25*t)*((0*t**3 - t**3 - t**3)*(3 + 10 - 19) - 2*t**3 + 0*t**2 + 0*t**2).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 537 + 199 + 338.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -0.5, 0.03 in descending order.\nAnswer: 0.04, 0.03, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146720 and 9170?\nAnswer: 146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/8))\/(n**1\/n))\/(n*n\/(n\/n**(2\/7)))**(-13\/3) assuming n is positive.\nAnswer: n**(347\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*y - 2*y. Let w be (1*(5\/3 - 2))\/((-80)\/960). Let d be y\/((-96)\/(-18))*w\/6. Is -10 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -7\/2 (c) -9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.9 - 39.6. Which is the nearest to 5? (a) 3\/5 (b) -4 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0*u + u)*(6 - 2 - 2)*(-3 + 1 + 4)*(191 + 150 + 599) in the form q*u + f and give q.\nAnswer: 7520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -23. Let q = -538 - -550. Is q equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*y + 0 - 6 = 0, 0 = 5*y + 10. Let u be (0 - (-195)\/13)*1\/(-3). Sort u, 4, a.\nAnswer: u, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**8\/840 + z**7\/420 + z**3 - 6*z**2. Let m(c) be the first derivative of g(c). Factor m(b).\nAnswer: -2*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3842, 15270, 34228, 60644, 94446?\n\"Answer: -12*k**3 + 3837*k**2 + k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1172, -2343, -3514, -4685, -5856, -7027?\n\"Answer: -1171*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.331 - -55.6. Let o = 0.069 - y. Let i = -2.967 - 0.033. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 - 103. Suppose 0*a = -2*a + p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1. Let p(m) = 2*m**3 + 17*m**2 + 8*m + 2. Let c(y) = -2*k(y) + p(y). Let l be c(-8). Solve -l*v + 10 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o - 5*o + 5*o - 4 - 15*o**2 + 17*o**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*6042\/152*-4. Suppose -4*t - 18 = -3*m - 0*m, 10 = 2*m - 2*t. Suppose 2*l = -3*d - 123, -l - m*d - 39 = -5*d. Do l and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -45?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let o(a) = -3*a - 5. What is o(r) - 5*p(r)?\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 - -513. Suppose -h = -4*r - 15*r. Solve 5*c = -r + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.782971 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 700*x - 52*x**2 + 4\/5*x**3 + 4900.\nAnswer: 4*(x - 35)**2*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from pdnndmdpmnn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*s + 9, s - d - 2 = 4. Find the second derivative of 2*w**3 - 5*w**3 + 5*w**s - 3*w wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 49*x**4\/24 + 47*x**3\/6 - 49*x**2 + 59. Let j(a) be the second derivative of m(a). Differentiate j(d) with respect to d.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x**2 - 3*x**2 - 2*x**2)*(346*x - 144*x + 1046*x) + x**3 + 3*x**3 - 5*x**3 in the form r*x**2 + q*x**3 + z*x + i and give q.\nAnswer: 1247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = 3*k, -4*o + 5*k = 2*k - 11. Let d(u) = 4*u**2 - 3*u**3 + o*u - 3*u - 6*u**2. What are the prime factors of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.6, 0, 5, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078 * 9.\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3311 + 361 = 4*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k - 7*k - 3*k - 7*k - 2 - 24*k**2 as i + b*k + j*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538*x = 1118*x - 18480 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742281997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 2*m**2 + 34 - 8 + m - m to b*m**2 + x*m + n*m**3 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 17*z - 3. Let l be z\/(-2) + (-57)\/76. Put -3\/4, -0.5, l in decreasing order.\nAnswer: l, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*z**2 + z**2 - 11*z - 3*z**2 - 2 = 0. What is z?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24*t**2 + 17*t + 1. Let a be k(-2). What is the highest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 5 (c) 0.05 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 90*u + 460. Determine g(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1332354 (base 6) to base 9\nAnswer: -123107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7425 - 3585 + 3212 - 2*v**2.\nAnswer: -2*v**2 - 7798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1712ba (base 12) to base 10\nAnswer: 396142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0286 in 10, -1\/17, 71\/11?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -739*m**2 + 9*m - 10. Let v be (0 + 5)\/(3\/(-6)). Let y be n(v). Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15 + (9 - 18) + 2505 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205 from -181233990.\nAnswer: -181233785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 0. What is the greatest common divisor of k and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 3. Let u be q(2). Let w = u + 16. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 35. Solve i = -9*k - 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Solve o - 4*v + 3*v = -2, -f*o + 4*v = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*b + 14050 = 14026, -1 = -3*l - b. Let p = -1 + 1. What is the nearest to l in 3, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 265*j**2 + 173040*j - 344675. Let u(l) = -11*l**2 - 7210*l + 14362. Let w(b) = -6*t(b) - 145*u(b). Factor w(r).\nAnswer: 5*(r - 2)*(r + 1444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 3, r: 1, j: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s - 35 = 0. Is (s\/(-10))\/(1\/2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*x - 0*x + 21, 4*u + 4*x = 12. Let g(s) = s**2 + 4*s**2 - 165*s - 154*s + 326*s - 6*s**2 - 12. Determine g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)*p)**(3\/38)\/(p**(-3\/4)*p*p\/(p*p**(-5))) assuming p is positive.\nAnswer: p**(-393\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24990?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 576*k - 282751. Give o(-164).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1929000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8, 3*a + 2*q - 7*q = -301. Let n be -2 - (-2 + 0) - 6. What is the common denominator of 55\/3 and n\/8*a\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:04 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 + 2*p**2 - 5*p. Let o(n) be the first derivative of 9\/4*n**4 - 3*n**2 + 2\/3*n**3 + 0*n - 10. Determine 6*d(b) - 5*o(b).\nAnswer: 3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l + r - 177, -3*l - 513 = 3*r. Let u be 116\/l*(1 + -13). Solve u*f + 19 = 59 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -41*j + 70. Suppose -j = 2*t, l - 4 - 11 = 5*t. Suppose -5*s = -2*n - 2, -2*s - 12 = -4*n - 0*s. Sort 2, l, 3, n in decreasing order.\nAnswer: l, n, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73033 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: Which is greater: 0 or -9\/2117281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 - 5*l - 1. Let k be f(6). Suppose -16 = 2*w - 5*d, 6 = -3*w + k*d - 8. Solve -b + 37 = 5*q + w*b, -5*b = 4*q - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwp when three letters picked without replacement from {w: 1, a: 1, i: 2, k: 2, p: 1, d: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 6. Let n(p) = -p - 7. Let j(w) = 6*n(w) + 7*q(w). Calculate the least common multiple of j(1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 less than -12127?\nAnswer: -12126.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 2\/11, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, 2\/11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydidbidblddyyyldi. What is prob of picking 1 y, 1 d, 1 b, and 1 l?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 plus 438?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00485368 to five decimal places.\nAnswer: 0.00485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -14. Let a(b) be the second derivative of -1\/168*b**c - 3\/80*b**5 + 0*b**3 + 1\/48*b**4 + 0 + 0*b**2 - 2*b + 1\/40*b**6. Solve a(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1206389\/30 - 40219. Find the common denominator of g and 89\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191592 and 9757?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355103503\/1708 - 207906. What is the common denominator of 41\/140 and n?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -7?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279299337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -348.026 to the nearest integer.\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/1743 - -247\/1743. Let f = -8 - -5. Which is the nearest to f? (a) q (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v - 5*v + (-2*v + v - v)*(51 + 53 - 88))*(-3*v - v + 3*v) + v**2 - 2*v**2 + 3*v**2.\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 - -359. Suppose -4*f - 6*v + 2*v + n = 0, 3*v - 177 = -4*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*b + 2947 + 5201 = 0, 4*b + 2023 = f. Let g = -4155\/2 + f. Let q = 42\/5 + -621\/40. Calculate the common denominator of g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 3*w - 2. Suppose o - 6 = -i, 16 - 2 = -3*o + 5*i. Let p be c(o). Let v = 0 + p. Solve -t + 2 + 0 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110.445 times -4\nAnswer: -441.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 128*n + 46 = -4*i, -3*n - 3 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 - 90*c**2 - 160*c - 75 = 0. Calculate c.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35264 and 297540?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.2. Let u = 19.8 - 23. Let s = u - l. What is the second biggest value in 2\/5, 1, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 112 = 34*w. Suppose 4*n - 24 = -2*n. Suppose -d + 8 = 3*j - 6*d, -n*j + 2*d = -34. Solve 7*m - j*m = w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.4 (c) -14 (d) -0.3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 5913534?\nAnswer: 5913534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/n)**38 assuming n is positive.\nAnswer: n**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = p - 3*o + 289 - 146, -5*p + 0*o = 3*o + 124 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Suppose r = -11 + 10. Let z(x) = -3*x + 1. Give r*z(c) - 2*m(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/20*50\/(-60)*57?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2462 divided by -632?\nAnswer: 1231\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 362228, 362227, 362228, 362231, 362236?\n\"Answer: o**2 - 4*o + 362231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2947 + 719. Let r = q - 1034. Let o = r - 1583. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*o = 6, o + 15 = 5*m - 2*o. Suppose 0 = m*t - 9*t. Suppose -4*z + 9*z - 20 = t. Solve 4*x = -0 - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62983560 divided by -20994520?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/((-315)\/(-50)))\/((-6)\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -b + 4, -2*z = 2*z + 20. Let i = b + -14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19556 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) -3.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let t be r + (-16 - -1)*-2. Suppose -k = -3*m + m - 17, -m + t = k. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349361560*m*u**3 - 1058939*m - 113*u**2 wrt u.\nAnswer: -2096169360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 f when three letters picked without replacement from {l: 1, p: 1, f: 1, j: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.02964 months in decades?\nAnswer: 1.650247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**6\/108 - 7*s**5\/45 - s**4\/3 + 28*s**3\/3 + 13*s. Let k(z) be the second derivative of j(z). Let k(r) = 0. What is r?\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/24 + 3*y**3\/2 + 51*y**2. Give v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.59, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 9 - 89 = 0. Let l = -7 + h. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*m**2*z**2 - 2*m**2 - 19*m*s**2 - 10*s**2*z**2 - 690*s*z + 12*z**2 wrt z?\nAnswer: -28*m**2 - 20*s**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.4. Let i = 0 + v. Let n = i + -0.6. Which is the biggest value? (a) n (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 + 133.67. Let m = 0.23 + a. Which is greater: -32\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2*k - 12. Give r(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -175\/139109256 and -145\/11682?\nAnswer: 139109256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 5. What is s(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4913*v**2 - 26999 + 26999 - 671*v**2)*(2*v + 0*v - 3*v) in the form g*v**3 + p*v**2 + d*v + f and give g.\nAnswer: -4242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61035 divided by -195?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78967 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799.979948 rounded to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -340012368 divided by -10544?\nAnswer: 32247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -6843, 166.\nAnswer: -6843, -5, 12, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -37, -55, -69, -73, -61?\n\"Answer: r**3 - 7*r**2 - 2*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202860140 by 20286014.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12142 (base 8) to base 14.\nAnswer: 1c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -145. What is the units digit of 3\/(u\/8) - (-287)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -31. Suppose -3*l + 0*l + 753 = a. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + -15. Let q = u - -12. Let p = -17.4 - q. Sort -1, 3, p in increasing order.\nAnswer: -1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 14 = 5*v - 24, -5*v + 8 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x**2 - 1645*x - 1645*x + 3290*x - 32*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162\/13*v**5 + 4032*v - 288*v**4 + 15530\/13*v**3 + 832 + 70836\/13*v**2 = 0 for v.\nAnswer: -2, -4\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = 3*t - 13, 4*t - 4*l = 24. Suppose -r = -t*r + 28. Suppose 0 = 3*v - 0*v - 12. Solve 0 = v*g - 7*y + 3*y - r, -2*g - 5*y = 33 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 74.\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*n**5 - 5*n**4*s + 3*n**2*s - 109*n**2 wrt n?\nAnswer: 7560*n**2 - 120*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/2 - 63*c\/2 - 33 = 0. Calculate c.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02895 + -7.02895. Which is the closest to -0.1? (a) -0.02 (b) v (c) -2\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -5.48?\nAnswer: 2.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2475*z + 123012 = -2081*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 3)*(2 - 3 + 0)*(5 + 2 + 5)*((i - 2*i + 0*i)*(-2 + 3 + 1) + 0 + 0 - i)*(33*i**2 + 21*i**2 + 6*i**2) to h*i**2 + f*i + s*i**3 + d and give s.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p - 8. Let t(f) = -4*f - 5. Let a(j) = 8*t(j) - 5*y(j). Let o(g) = 6*g. Let c(q) = 8*a(q) + 3*o(q). Let r(z) = 5*z**2. Calculate c(r(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-4)*w))\/w**2 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 2*c - 3. Let w(z) = -10*z**2 + 11*z - 16. Suppose -2*m + 9 = 13, 5*a = m + 12. Determine a*w(g) - 11*y(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n**2 - 2*n. What is b(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1102 divide 8679352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029691 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 140450 - 140450 + 6*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1461, 43, -8 in decreasing order.\nAnswer: 43, -2, -8, -1461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s + 11. Let b be 2\/12*2*0. Let z be w(b). What is the highest common factor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24*12\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 101000010110110000?\nAnswer: 101000010110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 24*b + 340 = -820 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209450 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*i**4 - 20953*i - 5475857 wrt i.\nAnswer: -192*i**3 - 20953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 146*t + 654. Let f be l(-3). Calculate the greatest common factor of 96 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(153))*5 + sqrt(153))**2.\nAnswer: 180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184415393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 4*y + 76 = 0, 32 = -l + 5*y. Let w = 34 + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 + 8. Let n(b) = -6*b**3 - 16. Let w(g) = -3*n(g) - 7*y(g). Differentiate w(l) wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/6)\/((-187)\/(-396)*-6). Is h >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -151. Let z be p\/(((99\/(-120))\/11)\/6). What is z rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 460622*m - 212172626884.\nAnswer: -(m + 921244)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230397227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033215 is divided by 1208.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -131610?\nAnswer: 131610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 17. Solve -5*w**4 - 6*w**3 - 9*w**3 - 4*w**t + 5*w**4 + 25*w - 6 = 0 for w.\nAnswer: -3, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Let a(f) = -2*f**3 - 4*f**2 + 7*f + 6. Let v be a(-4). Suppose u*o - v + 12 = 0. Calculate the greatest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6222 and 6027166?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4873.\nAnswer: 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:39 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 + 0.3. What is the third biggest value in g, 0, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3060*h**3 + 6113*h**3 - 3037*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:13 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**(-6)\/v)**(-5\/18) assuming v is positive.\nAnswer: v**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 3 = -32*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 - 26a76?\nAnswer: -26a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -3, 78\/7, -3\/2, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13 - 24*v**5 + (2*v**5 + 5*v**4 - 5*v**4)*(2 - 3 - 1).\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 - 8020*p**4 + 15980*p**3 + 64080*p**2 = 0. Calculate p.\nAnswer: -2, 0, 4, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 39. Let l be q(3). Suppose 3*w - l = -3*u, -5*u = -2*w - w - 109. Calculate the greatest common factor of 40 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/15 - 49*w**5\/20 - 311*w**4\/12 - 20*w**3 + 72*w**2 + 331*w. Determine s so that v(s) = 0.\nAnswer: -12, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-34)\/(-6))\/(3\/(-9)). Let k = 1 - 12. Let z = k - i. Solve 3*p = z + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*p = 4*p - 228, 5*p = -2*s + 98. Suppose 6 = 4*n - 6*n. Let r be (-8)\/(-3 - (2 + n)). Calculate the highest common factor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*g + 20, -2*g - 6 = 4*t - 28. Let h be 80\/(-117) - (-2)\/9. Is g >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4432788\/291519 - ((-4)\/9)\/(-2) - 15)*2?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41378, -82598, -123660, -164564, -205310, -245898?\n\"Answer: 79*i**2 - 41457*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -295 and -295 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1042267, 2084520, 3126763, 4168996, 5211219, 6253432, 7295635?\n\"Answer: -5*u**2 + 1042268*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 - 1 = 0. 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: List the prime factors of 2923.\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 + 2*f. What is the remainder when 34 is divided by i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80217025?\nAnswer: 5, 7, 367, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4007 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 19. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0, 0.2, 0.076202?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808010 = -58*w + 861752. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxeeqeeqxxexexeer. What is prob of picking 1 r, 1 e, and 1 x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21442773 rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -126, -286, -510, -798, -1150?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/79725 and -61\/10630?\nAnswer: 159450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/8)\/5*2. Let g be (1 + -20001)*(-162)\/z. What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1441\/(-143) - -10) + (-35)\/(-273)*271. Factor -4\/3*p**3 + 0 - q*p + 20*p**2.\nAnswer: -4*p*(p - 13)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 5*w - 7. Let o be u(6). What is the units digit of (-28)\/o*10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + (sqrt(19) + sqrt(19)*2 - sqrt(19)))**2 + sqrt(19) + 5.\nAnswer: sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178777390 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33315929?\nAnswer: 33315929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let m(t) = -t**2 - 12*t + 49. Let j be m(-15). Let h(x) = -4*x + 0*x - 5*x - 6*x. What is j*h(w) + 55*u(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01202136 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36797864399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8 - 9 - 110*s**2 - 9 + 118*s**2. What is the tens digit of p(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 58. What is the remainder when (4 + -1)*v\/15 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -v - 3*x, -30*v = -34*v + 3*x - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**8\/84 + 7*n**5\/20 + 6*n**2. What is the third derivative of h(l) wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*z - 2*f, 6*z - 10*z + 33 = -3*f for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*m - 2*g, -2*m - 2 = -4*g + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-6)*2304\/126336\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*p**2 - 26*p**2 + 45 - 29*p**2 - p as c + q*p + d*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2081 + 12*x - 2081.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*n**5 - n**2 - 2*n + 279 wrt n.\nAnswer: -480*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -7. Let j = 0.1 + -0.1. Let y = 0.02 + -0.32. What is the closest to -1\/2 in y, j, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -116, -120\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15697, 15732, 15789, 15880, 16017, 16212?\nAnswer: 16477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t - t + 4*t)*(2*t**2 - 3*t**2 + 0*t**2) - 20*t + 20*t + 12*t**3)*(1 - 1 + 2)*(6 + 80*t - 9 + 2).\nAnswer: 2080*t**4 - 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*s + 27, 61*s = 58*s - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -5*r + 25. Let n = -24 - r. Let k(f) = -f + 2. What is the remainder when n is divided by k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -218. What is the least common multiple of z\/(1\/((-6)\/(-24))) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.5, 2\/13, -2\/5, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -87*i**3 - 131*i + 36. Let v(q) = -44*q**3 - 65*q + 20. What is -9*v(g) + 5*w(g)?\nAnswer: -39*g**3 - 70*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s - 58. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - j + 1. Let y be w(1). Let n(t) = -2*t - 2. Let h(b) = b. Let m(l) = 1. Let f(s) = -3*h(s) - 3*m(s). What is y*n(d) + 3*f(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 1)*(-6*u + 16*u + 4*u)*(-7 - 4 + 0) in the form a + p*u and give p.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1635.69 - -1617. Round o to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (11 - 21 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:06 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let q(w) = -l*w + 3*w + w - 3*w. Let f(o) = 3*o - 2*o**2 - 3*o. What is f(q(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*r + 3*b - 6*b, -3*b = r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (342\/63 - 5)*7. Let a(r) be the first derivative of -7\/2*r**2 + 1 + 2*r**b + 0*r. What is the second derivative of a(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3972?\nAnswer: 11916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -251, -597, -1193, -2123, -3471, -5321, -7757?\n\"Answer: -14*p**3 + p**2 - 85*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - (-1 - (1 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037797 * 0.3.\nAnswer: 0.0113391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 2*v**2 + 2*v. Let t be p(2). Suppose 2*l - 15 = l. Suppose t*n = 1 + l. What is the biggest value in 3, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dd + 0?\nAnswer: -2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133949598 divided by -6?\nAnswer: 22324933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a04671 (base 12) to base 2.\nAnswer: -101011101100011010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 16*j + 63. Let n be w(-7). Which is bigger: n or 5\/137?\nAnswer: 5\/137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (5 + -2) - (7 + (-71 - -51))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -2000?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -205546, -205523, -205478, -205405, -205298?\n\"Answer: g**3 + 5*g**2 + g - 205553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-22) + 0\/1. Let y = 916 + -1205. Let g = -289 - y. What is the smallest value in g, -6\/5, -2\/9, d?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 4*n - 9*q + 4*q, -174 = 5*n - 3*q. Let h be ((-2)\/(-6))\/((-6)\/n). Find the second derivative of h*g**3 + 4*g**3 + g - g**3 - 7*g wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8*w**3 - 113*w**4 + 3 + 111*w**4 in the form x*w**3 + d*w**4 + o*w**2 + m*w + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:52 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 + 8*x - 3. Let d be y(6). Let z = d - 7. Factor 1\/3*n**2 - z*n + 3.\nAnswer: (n - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1764*s**2 + 1764*s**2 - 3*s**3 + 5*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -9\/7 - 6\/7*t - 1\/7*t**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -32503?\nAnswer: -32450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33266 = -225*h - 907*h - 14278 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-3 - -2)) + -2. Let v = -44488 - -44485. Sort -5, s, 3, v in descending order.\nAnswer: 3, s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3056.3025 + -3118.3024984. Let w = -62 - t. What is w rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15019 - -48158. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 2. Suppose -135 + 1836 = 9*y. Let w = -137 + y. Calculate the remainder when w is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4 - 10*w + 47*w**3 + 19*w - 20*w**2 + 0. Let b be x(13). Round b to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 - (4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(10*g**3 - 3*g**3 - 2*g**3 + (4*g**2 - g**2 - g**2)*(2*g - 2*g + 2*g)).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.7612 centuries to years.\nAnswer: 10976.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(63\/(-17087)) - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8*i + 6 = -7*i, -5*i = -3*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 145*l + 16. What is the hundreds digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j + 1\/6*j**3 + 0 - 4*j**2 + 1\/24*j**4. Calculate p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 6*k - 1. Let o(v) = 6*v**2 - 345*v - 2. What is -o(r) + 4*y(r)?\nAnswer: -2*r**2 + 321*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b - 14. Let v(t) = 7*t - 15. Let i(h) = 5*m(h) - 6*v(h). Let z be i(11). Put 0, 0.5, z in ascending order.\nAnswer: z, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -4)\/12 + 2\/(-8). Suppose u*b = b - 3*a - 271, 2*b - a = 542. Suppose j + 132 = 5*d - b, -5*j = -10. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1282 or -1084?\nAnswer: -1084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 - -1170. List the prime factors of u.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8403, -30202, -66531, -117390?\n\"Answer: -7265*r**2 - 4*r - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -21. Suppose -33 = d*b + 45. Let a = -23 - b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264457 - -40\nAnswer: 264497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 3*r + 5071, 5*j = 5*r + 5065. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -661, -1112, -1357, -1396, -1229, -856?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65203 is divided by 65047?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 8*j = 0. Solve j = 4*b + d + 5 + 8, 0 = b - 3*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73442 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: Factor 274656*h**4 + 823972*h**3 + 823980*h**2 + 274668*h + 4.\nAnswer: 4*(h + 1)**3*(68664*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 7*c**2 + 6*c**2)*(-3 + 0 + 1 + (0 + 3 - 2)*(-1 - 2 + 5) - 4 + 1 + 2 + 0 - 4 - 2).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-15)\/21 - 4\/14). What is the third derivative of -12*p**3 - 2*p**3 + w*p**3 - 14*p**2 + 17*p**2 wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -2*j**7\/735 - 3*j**6\/280 + j**5\/210 + 3*j**4\/56 + j**3\/21 - 41*j**2. Determine g, given that h(g) = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)*n)\/n**(-2\/17))\/((n*(n**4*n*n)\/n)\/(n*n**(-2\/3)*n)))\/((n\/(n*n\/n**(1\/4))*n)**(-5\/9)\/(n*n**1)**0) assuming n is positive.\nAnswer: n**(-2699\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 + 16*z**4 + (-1 + 0 + 0)*(2*z**4 - 3*z**4 + 3*z**4) + 1 - z**4 - 1.\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5283224, -10566450, -15849682, -21132920, -26416164?\nAnswer: -31699414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 - 220. What is the units digit of (-22)\/12 + a + (-6812)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 35. Let u be r(-5). Let h = 39 - -78. Let f = h - u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssxxgsxssgsxs. Give prob of sequence xss.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100000000001 - 111?\nAnswer: -11110100000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520460179?\nAnswer: 19, 27392641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77609144.\nAnswer: 2, 1039, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8720486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4. Let y(x) = -x**2 + 15*x. Let w be y(15). Does 2 divide k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1639918 years?\nAnswer: 1.9679016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4144*n**2 + 36*n + 2245*n**2 - 73 + 1902*n**2)*(-2*n + n - n).\nAnswer: -6*n**3 - 72*n**2 + 146*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 4, -6208?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from dguuuudjjjujjjqgjq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1622000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 212 = 9*d. Sort d, 0.2, -0.4 in increasing order.\nAnswer: d, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89596875\/421 + 212819. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, j: 1, b: 1, q: 3, h: 2, i: 4}. Give prob of picking 1 l, 1 q, and 1 j.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*y + 12851 - 28151 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 14*q + 52. Let o be h(-17). Solve 10 = -t + 3*f - o, 20 = 4*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1765, 3760, 6211, 9346, 13393, 18580?\nAnswer: 25135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1004*z - 1080*z + 9 - 2 + 3017*z - 1168*z in the form b*z + v and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 8:08 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in millimeters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t - 1. Let l(g) = -5*g. What is -3*a(q) - 8*l(q)?\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 921 - 538. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-65))\/(((-1488)\/20)\/4)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 17*r**2 + 11*r - 13. Let y = 24 + -37. Let x(u) be the second derivative of -2*u**4\/3 - 5*u**3\/6 + 3*u**2 - 13*u. What is y*x(s) - 6*z(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*h + 0 + 0*h**3 + 6\/13*h**2 - 2\/13*h**4.\nAnswer: -2*h*(h - 1)**2*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 251338.77 months?\nAnswer: 20944.8975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 287, -59, 20\/9, -15?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -23\/80, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868863?\nAnswer: 83, 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1258 rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 + 14*k**2 + k - 3. Let y be b(2). Calculate the greatest common factor of y and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223582.6456 rounded to the nearest 1000?\nAnswer: -224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2243344 (base 8) to base 14.\nAnswer: 11b7c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2700 by -18.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 182, 344, 506, 668?\n\"Answer: 162*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1842228 and 23652?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 4*a - 68 = 73*j - 34*j, 103 = -4*j + 3*a for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -337, -429, -555, -727, -957, -1257?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 11*z + 13. Let o be q(-10). Suppose 10 = -f + o*f. Suppose 0*u + 8 = -i - 4*u, f*u + 60 = 5*i. Solve 0 - i = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u. Let j be ((-2)\/(-4))\/(6\/132). Let r be b(j). What is the highest common factor of r and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z + 7*z)*(0*z**2 - 4*z**2 + 1162*z - 173*z**3 - 1164*z).\nAnswer: -1038*z**4 - 24*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 + 18 - -141)*(-846)\/(-5)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 46.8. Let a = c - 7.46. What is a rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/7))\/(d*(d*d**5)\/d)*(d**(-1\/3))**(-47)*(d**(-1\/4))**(-38)*(d**(-1\/2))**(-2\/155) assuming d is positive.\nAnswer: d**(129467\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 a, and 1 t when four letters picked without replacement from {a: 1, t: 3, p: 2, j: 1, m: 2, g: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + q + 15. Let p be d(-3). What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1981 - -13 - (-1 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*f + f. Suppose 4*t = f + 73. Suppose 3*g = -2*b + 59, 4*b = -2*g + 4*g - t. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**3 + 0*c**2 + 0 + 4*c - 1\/6*c**4. Let v(m) = -3*m. Calculate v(p(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**4\/13 - 615148*g**3\/13 + 1025226*g**2\/13 + 410092*g\/13 = 0.\nAnswer: -1\/3, 0, 2, 102523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 21*l + 4 - 4.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574439881?\nAnswer: 23, 43, 181, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 2*z - 2, 3*v + 6 = 3*z. What is the least common multiple of (-3 - 0)*7\/(-3) and (1 - z)\/((-1)\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1080 - -1096. Suppose -2*r = -4*r + 128. Suppose -p + r = p. What is the greatest common divisor of q and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -27. Let x be (-96)\/42 + (-4)\/r. Put -0.5, 5, x in descending order.\nAnswer: 5, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157889 is divided by 1104.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 + 6*a**2 + 4. Suppose 51*x - 53*x = 10. Let v(k) = 4*k**3 - 5*k**2 - 3. Calculate x*w(j) - 6*v(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-15)\/2))\/((-2)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2002222?\nAnswer: -2002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10 = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-237)\/(-75) + -3)\/(74\/185). Let m be (-17)\/(-12) - 2\/(-8). Which is the nearest to h? (a) 3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 11 - (18 + -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1348 + 1392. What is the least common multiple of f and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13527033853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163*v**5 + 24*v**3 + 11643*v**2?\nAnswer: -9780*v**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 39272\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -539, -560, -613, -716, -887, -1144, -1505, -1988?\n\"Answer: -3*f**3 + 2*f**2 - 6*f - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163 + -133 + 24*369\/(-294)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -e0 (base 15) to base 10\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(-78*f - 58*f + 64 + 157*f).\nAnswer: -42*f - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjez when four letters picked without replacement from {j: 1, e: 1, o: 2, z: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75013 is divided by 4101.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(3 + 5 + 6*((0 + sqrt(288))**2 + sqrt(72)*-1)) + 1.\nAnswer: -216*sqrt(2) + 10422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3463*d - 3739*d + 7164*d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1508*c - 575*c + 318*c - 1218*c.\nAnswer: -2983*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2309 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 131*x + 911. Is 30 a factor of s(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.3, 3\/7, -4, 0.075478?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7*a - 9. Suppose -2*p - 2*z = -6*z - 8, 3*p - a*z = 9. Factor 5*w - 9 + 7*w - 154*w**p + 151*w**2.\nAnswer: -3*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 5879*z + 1668*z + 2821*z.\nAnswer: -1390*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-16)\/72) + 6\/2. Suppose -16*r + h*r = 12. Sort 2\/9, r, -0.4, -1.\nAnswer: r, -1, -0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4139, 4141, 4143?\nAnswer: 4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7*27 + 2)\/1. Suppose p = 3*f + 3*l + 5, -4*f - 3*l = -250. What is the remainder when f is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 3*z**3 + 19*z**3 - 4*z**2 - 7*z**2 - 78*z**3.\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:36 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g + 16*g - 3*g**2)*(2*g**3 - 3*g**2 + 3*g**2) + (-2*g**2 + 0*g**2 + g**2)*(-5*g**3 + 0*g**3 + 4*g**3).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726230657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.95796, -0.03, 0.4, -10, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 6 + -25 + 28\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5370*k + 27179. Give r(-5).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -9 + 14 + (10 - 24) + 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 328 = 5*n, -32*s + 28*s - 326 = -6*n. Let z be (-5668)\/(-5) - 2\/(-5). Calculate the greatest common divisor of z and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.98*0.21268.\nAnswer: -1.0591464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*y - 3*u, 0 = -5*y + 3*y + 4*u + 20. Let m = -1\/7686 - 217127\/19215. What is the common denominator of m and -26*(1\/4 - y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3742.\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -38*f**7\/7 + 29*f**3\/3 - 38. What is the third derivative of c(o) wrt o?\nAnswer: -4560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 0, -2\/13, -2701409, 3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-1)\/9). Let z = 34 + -32. Suppose -z*h - 8 = -p*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90778721 + -90778791.300501. Let j = -66.682 + -3.618. Let h = m - j. Round h to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, 219, -5 in ascending order.\nAnswer: -5, 2, 70, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.0917?\nAnswer: 0.4585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.575+-889\nAnswer: -888.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1.6, 25\/4, -1\/4, 1\/3, 2\/351, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 646\/(-2508) - -2*(-1)\/(-22). What is the closest to 1 in c, -0.5, 2\/789?\nAnswer: 2\/789","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 a factor of 71608530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2057*k - 2057*k - 70*k**3 + (-2*k**2 + 4*k**2 - k**2)*(-2*k + 3*k - 3*k) to the form d*k + i + l*k**2 + r*k**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 2*k**2 - 205 + 477 - 245 - 10*k to q + w*k**3 + y*k**2 + x*k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (4 - 11) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815634 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 237 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25371651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*q + 17, -5*r + 4*q = 1 + 6. Let n = 6.258 - 0.158. Let l = n + -2.1. Sort 0.08, r, l in descending order.\nAnswer: l, r, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 7*p = -65. Is p equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p. Suppose p = -3*c - 2*c - 50. Is (56\/(-20))\/(c\/425) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 5701*l - 641926. Give a(-1302).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31906*o + 63803*o + 1 - 1 - 31894*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118\/259 - -1\/37. Let h be (5\/(-15))\/(5\/1)*-39. What is the third biggest value in h, 0.5, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/288)\/((-516)\/(-6192)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3065*s - 62683. Calculate a(20).\nAnswer: -1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 2. Calculate o(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59083*m = 58990*m + 5859 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/6)\/(2\/(-264)*2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/3 + 15*v**2\/2 + 10. Find the second derivative of p(l) wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (200*s**2 + 61*s - 61*s)*(19 + 46 - 13) as l*s + f + m*s**2 and give m.\nAnswer: 10400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, 42, 40?\n\"Answer: -2*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-169)*2\/(-3). Which is the nearest to -1\/2? (a) n (b) -0.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*h = -391 + 34, -h = -4*v + 491. What is the remainder when v is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (8 - (13 - 21))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 4, 203, -1\/8, 0, -48, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + sqrt(76)*5 + 4)*6.\nAnswer: 18 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149097 is divided by 1266?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 35 = 4*n. Let g = 18 - n. Let v = -120\/7 - g. Which is the smallest value? (a) 1\/3 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 16*u**2 - 18*u + 11. Calculate c(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1330779*3.\nAnswer: -3992337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 605, 840, 1063, 1268, 1449?\n\"Answer: -k**3 + 242*k + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.59 and 4.2795.\nAnswer: -1.3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -9 - 4) + -3 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1752*z**2 + 38*z + 29. Is u(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4567, 4562, 4557?\n\"Answer: -5*m + 4572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284269 is divided by 1512?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -1 (c) -2 (d) 27 (e) 2\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2. Suppose 3*d = 25 - 1. Let z(o) = -2*o**2 + o**2 - d + 8. Calculate k(z(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from cccccggcgccccgcccc.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77491.\nAnswer: 77491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2797 (base 14) in base 12?\nAnswer: -4069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1006278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 12) in base 11?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**3 - 266602*p**2 + 1427*p + 1926 wrt p.\nAnswer: -84*p - 533204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 12*a**2 - 13*a + 2. Let n be c(13). Solve -4*j - 4 = 2*g, 2*j + 4*g - 2 = n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-2))\/(v\/(v**4*v)*v*v) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1\/9, -12, -0.2, 1, 0.1 in descending order.\nAnswer: 1, 0.1, -1\/9, -0.2, -3\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214650306.\nAnswer: 2, 3, 13, 23, 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880495994?\nAnswer: 2, 7, 17, 528509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 + 4*u + 2. Let o be b(2). Solve -m + 6 = o*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.000002 + 70. Round w to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121234 is divided by 4465?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f - 19 = -70*f + w, -12 = 3*w. Let k(h) = -h**3 - 4*h**2 + 3*h - 7. Let c be k(f). Solve -5*s = -c*s - 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*v*x + 3284*v - 48318*x wrt v?\nAnswer: -11*x + 3284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -0.14, 2\/47?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 4*f**2 + 3*f + 3. Let c(j) = j**3 - 3*j**2 + 2*j + 2. Let u be (8 + 530\/(-65))\/((-5)\/65). Let n be 0 - 2\/(-4)*-6. Determine n*c(z) + u*p(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.129 - 0.171. Let y = b + 7. Let v = y + 0.300125. What is v rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (-138)\/(-20) + (1272\/240)\/53.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**2 - i. Let v(q) = 5173*q. What is v(k(x))?\nAnswer: 41384*x**2 - 5173*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4985, 4, 0.2, -22, 1\/3 in descending order.\nAnswer: 4, 1\/3, 0.2, -22, -4985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -60 - -6*1\/2. Let d = k + -7. What is the remainder when 8*5*d\/(-80) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(-5))*v)\/(v*v*v\/v**0))\/(v**(-4\/9)*v**(-3))*(v*v\/v**(-2\/19)*v**(-12))**(-1\/2) assuming v is positive.\nAnswer: v**(67\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(17) - (0 + sqrt(17) + -5)**2) + sqrt(17) + sqrt(153) + -3 + -1*sqrt(68)\/sqrt(4)*3)*-3.\nAnswer: -36*sqrt(17) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-17))**(24\/13))**39 assuming w is positive.\nAnswer: w**(-1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 7. Let i be (-1)\/((-1)\/(-20)*-2). Suppose x = -2*o - 2*o - 21, 3*o - 5*x = -i. What are the prime factors of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11502, 11827, 12538, 13773, 15670, 18367, 22002, 26713?\nAnswer: 32638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 99*l - 471. Calculate the lowest common multiple of c(5) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/120*(-8)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(12\/1)\/(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 13*s**7\/14 - 5*s**3\/6 + 3*s**2\/2 + 5*s. Find the second derivative of n(p) wrt p.\nAnswer: 780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297428, 297430, 297432, 297434, 297436, 297438?\nAnswer: 297440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3.6. Let j = -0.5 - a. Suppose -5*u - 5 = 4*r, 0 = u + 3*u - 3*r - 27. What is the nearest to j in u, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.024 + -0.024. Let n = -50 + t. Is n greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 3*y + 9. Let h(a) = -3*a**2 + 4*a**2 - 5 - 7*a + 9*a. Let l(t) = 5*h(t) + 3*j(t). Calculate l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005016 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400659 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*p - p**2 - 136*p + 54 + 44*p + 34*p - 6947*p**4 + 105*p wrt p?\nAnswer: -83364*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2551 - -3565. Calculate the greatest common divisor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-704))\/((-25)\/110)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 - 185. What is the closest to -1 in 3, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 9, u: 6}. Give prob of picking 2 u and 2 m.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(5\/6)\/t))\/(t*t**(-5)))**41 assuming t is positive.\nAnswer: t**(1025\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 928, 1368, 2202, 3556, 5556?\nAnswer: 8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 88?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -109\/4, -5\/2, 5292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 394.2517l?\nAnswer: 394251.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 211 + 811. Suppose 21*f - 16*f + r = 0. Let c = -6 - f. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/(-261) + 322\/18. Suppose t = 4*t + 3. Which is greater: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 3, k: 1, w: 1, j: 1}. What is prob of picking 1 w and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5\/4 - 3227*v**4\/2 + 12913*v**3\/2 - 9686*v**2 + 25831*v\/4 - 3229\/2.\nAnswer: -(v - 1)**4*(v + 6458)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-95)\/86))\/(((-920)\/(-100))\/(-23))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 119 - 612 = -285 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/56 + (-171)\/(-7). Let s be (-1*(-29)\/(-1))\/(-1). Let p = f + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2907\/(-228)*(-16)\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 253*o + 1394. Calculate h(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/27)\/d)\/(d\/((d\/((d\/(d\/d**16))\/d))\/d)))\/(d\/(d\/((d**(5\/6)*d)\/d))*(d\/d**(-8))\/d) assuming d is positive.\nAnswer: d**(-1399\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 746408 divided by -248\nAnswer: -93301\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-4))\/((-4)\/528). Calculate the highest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15339007 by -9.\nAnswer: -15339007\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-5)\/(-3)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199 (base 10) in base 7?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -34. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 109. Let r be (-2)\/(-6) + 11\/q. Let u = -0.1 + 0.1. Sort r, 4, u.\nAnswer: u, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12) - 513\/684. Which is the closest to 1? (a) -10\/9 (b) 1 (c) w (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 - 2310294*i + 2310296 = 0 for i.\nAnswer: -1155148, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 112 = -2*z, -152 = -4*z + 216*i - 220*i. What is the remainder when 3296 is divided by z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - (-130)\/60. Solve t*d = 6, -3*y - 2*d = -0*d - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 5, -0.4, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 + -0.05. Let v = 16 - 15. What is the closest to 0.1 in -3, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44402239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -60, -67, -74, -81?\n\"Answer: -7*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 43 + 8*b**2 - 48 as h*b**2 + l + u*b and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -100, -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109602.4 rounded to the nearest one thousand?\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2535526*f**2 + 8*f + 46154278 wrt f.\nAnswer: -5071052*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-4 - -1) + (-18 - -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.944 - -140.056. Let x = 141.05 - w. What is the third smallest value in x, -3\/7, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 + 5 = 0. Let o(r) = r**3 + 6*r**2 - r - 2. Let m be o(-6). Suppose -m*k + 1 = -3. Solve -4*n - v*g = 17, n + 4 = -2*g - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16384)\/192 - 4\/(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiiiyiyiiiiyiyiyi. What is prob of picking 1 y and 3 i?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1095? (a) -1 (b) 3 (c) -2\/11 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 - 11) - (-49 - 33 - (-6 + 7))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56591669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1521105, -3042217, -4563329, -6084441?\n\"Answer: -1521112*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/2095 and -59\/589485.\nAnswer: 246994215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 5*t - 4. Let a(b) = -b**2 - 2*b + 2. Let m(v) = -v**2 - 22*v - 92. Let q be m(-16). Determine q*f(y) + 9*a(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 18, 28, 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(175) + sqrt(175))**2 + -2 + 5)*-4.\nAnswer: -6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3\/7 - 79*g**2\/7 - 20*g\/7 = 0?\nAnswer: -1\/4, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2878189 and 24040.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose -2*n + 16 = -4. Suppose -f - f = -n. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44300046 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/23111418 and 109\/31966.\nAnswer: 23111418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 4. Let r(n) = -n - 1. Suppose -111*c = -109*c - 2, -3*i = -2*c - 1. What is i*g(u) - 5*r(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 5) + 2*1. Let k(n) = n**2 - 7*n + 3. What is k(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 4*z**3\/3 + 1. Let s(p) be the third derivative of -p**5\/12 + 13*p**2 + 296*p. Determine s(r(b)).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(112\/384) + -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*k - 6, 15 = -3*x + 5*x - 3*k. Suppose -x*d + 60 = -f, 5*d = -7*f + 3*f - 155. Is -48 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43221 + 3?\nAnswer: -43214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365607 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*v**3 - 278 + 109 + 44*v**3.\nAnswer: -32*v**3 - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, 25, -5 in increasing order.\nAnswer: -5, -3, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-760.\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = y + 7*a - 3*a, 3*y = -4*a + 92. Calculate the least common multiple of 3 and -4*6\/y*-41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -14*g**4 + g**3\/3 + 5*g**2\/2 + 44. What is the third derivative of v(m) wrt m?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10032? (a) -2 (b) 3\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*8\/144*-21)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.039 + 28. Let g = 0.039 + q. What is the closest to g in -4, 5\/2, 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((60\/18)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 9. Let j = -5 + r. Let b = 26 - 26.01. What is the nearest to 0 in 0.5, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290 and -24.563?\nAnswer: 7123.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 361? (a) -0.3 (b) 408 (c) -4 (d) -10\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 690134197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 1196580.\nAnswer: 2393160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100310 (base 4) to base 11\nAnswer: -899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1637142493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 491923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 6}. Give prob of picking 4 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28919444 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5 + 14 + 19 - (29 + -22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -60, -43, -24, -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555\/7 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:46 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -3772?\nAnswer: 3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*s - 11*s + 7904. Solve -s*g + 141*g = -55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1034 - -1059. Which is bigger: j or -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 7913?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 19 = 2*o, 5*m - 670*o + 16 = -667*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 186 - 78 = 0. Let a(f) = 4*f + 4. Calculate the smallest common multiple of n and a(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Let r = 103 - 106. Which is the second smallest value? (a) r (b) n (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010010110110 - 10?\nAnswer: 1101010010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 85.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v**2 - 2962*v + 2962*v)*((-6 + 4 + 0)*(0*v + v - 3*v) - 3 + 3 - v) to the form s*v**3 + n*v**2 + d*v + k and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s**2 + 4. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25238*d**3*y + 111*d**3 + d**2*y - 3*d**2 + 3676*d*y - 28*d wrt d.\nAnswer: 151428*y + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27, 2, -4, -1.\nAnswer: -27, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (4 - -4)) + 5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlvp when four letters picked without replacement from {n: 1, v: 1, e: 1, l: 1, p: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 20*h**2 - 123*h - 72. Let o(y) = 9*y + 1. What is the lowest common multiple of o(7) and c(-5)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-38*u - 33*u - 8*u) + u + 5*u + 17*u + 2 + 2*u - 2 to y*u + b and give y.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 25. Suppose 6*g - 8*g + n = 0. Calculate the least common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, -3, 0.04, 284?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 3*b**2 - 3 + 7 + 3*b as h*b + f + z*b**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let j(k) be the first derivative of k**5\/60 + 31*k**4\/24 - k**3 - 11*k**2\/2 - 35. Let n(y) be the third derivative of j(y). Determine n(q(z)).\nAnswer: 2*z + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -55*o + 45 + 112*o - 44*o. Let u be a(-3). Let x = 100 - 34. What is the highest common factor of x and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1539)*-1 + -6*(-2*sqrt(1539) + sqrt(1539)))*6.\nAnswer: 18 + 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 3. Let r be n(-5). Let m be 1*(r + 43)\/3. Calculate the remainder when 25 is divided by (-5)\/m*(0 - 27).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3)\/o*o)\/o)**(-2\/19)\/(o\/o**(-1\/35)*o)**47 assuming o is positive.\nAnswer: o**(-190069\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 27. Let r be c(0). What is the tens digit of (-4)\/(-5)*(r - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**3\/3 + 97. Let a(u) = -55*u. What is l(a(z))?\nAnswer: 6050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 342*v**2 + 1081 + 343*v**2 to the form t + d*v + p*v**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149400 - 33864. Let w = -183264.100031 - z. Let q = w + 0.1. Round q to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12265 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 divided by 191765?\nAnswer: -1182\/191765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/15588 and 29\/185324.\nAnswer: 1667916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -522 - -43786?\nAnswer: 43264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 5*a + 168. Suppose 2*x + a = 9*x. What is the remainder when ((-34)\/4)\/(1\/(-2)) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*r - r - 4*r - 3*r.\nAnswer: -16*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 450*k + 10125.\nAnswer: 5*(k - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -0.9612.\nAnswer: -1.0012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 2*z - 20. What is b(12)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(2*y**3 + 3*y**3 - 4*y**3) + 2*y**4 - 2 + 2 - 2*y**4 + 2*y**4 - y**4 - 3*y**4 - 24*y**2 + 4*y + 24*y**2.\nAnswer: -y**4 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(48) - (sqrt(432) + -4 - sqrt(432))).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4758 - 6739. Suppose -2*a + 2305 = -4*j - 2011, a - 5401 = 5*j. Let c = r - j. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2010212?\nAnswer: -2010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 27. Let l(d) = -5*d - 32. Let t be l(-8). Let o be f(t). Let a be 32\/12*3 - 3. Put a, o, 14 in increasing order.\nAnswer: o, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -653767?\nAnswer: 653763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 13*n + 4. Let b = -22 + 13. What is the units digit of g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 2. Suppose 0 = -3*l - 6. Let t be (4\/5)\/(l\/25). Let w be ((-15)\/t)\/((-1)\/(-2)). What is s(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - r - 78, -a + 10 = 5*r. Suppose 0 = z + n + n - a, 5*z - 158 = n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*m**2 + 48*m**3 + 147 - 31*m**3 - 25*m**3 + 7*m**3 + 55 as p*m + i*m**2 + k*m**3 + s and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*u + 51*u + 132. Suppose -5*n + u + 21 = 0. Solve -k - 9 = -n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66633, -133262, -199889, -266514?\nAnswer: -333137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 8*z**2 - 17*z + 31. What is the tens digit of s(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -132, 0.4, -3?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-44)\/(w**2*w) assuming w is positive.\nAnswer: w**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 69. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 132696\/56 + 11 - (-6)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 - 6687*h**2 + 6*h - 5629*h**2 + 13345*h**2 wrt h.\nAnswer: 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*b*s**2 + 143*b + 54154*s**4 - 12113*s wrt s.\nAnswer: -28*b + 649848*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1853942 (base 12) to base 2.\nAnswer: -10011011001111010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 393*x - 7116. Determine k(18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 35 - 96)*(-116 + 116 + 43*b) as a + z*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - r + 218, 2*r = -5*w - 14 + 1107. Let k = w - 1. Let y = k - 76. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Let t(n) = 8 - 2 - 4 + 466*n**2 - 255*n**2. Calculate v(t(k)).\nAnswer: 211*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03723 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l + 7. Let s be o(-5). Suppose s + 118 = 5*i. Suppose w - 4*t - 9 = 0, -5*t + i = 3*w - 23. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 7*z**5 + 0*z**2 - 7*z**2 - 45*z**2 - 6*z**5 + 143*z wrt z?\nAnswer: 20*z**3 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4369*v**3 + 2*v - 4379*v**3 + 3 + 5 - 47*v**2 - 5 + 0 in the form w*v + d + x*v**2 + c*v**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a factor of 879975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 divided by -194.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/57 and (-11 + 3)\/(10692\/126).\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 4*j + 3\/2*j**3 + 1\/4*j**4 + 7\/2*j**2 + 0. Is f(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -16*l**3 + 174*l**2 + 10. Let d(t) = 5*t**3 - 58*t**2 - 3. Determine -10*d(r) - 3*x(r).\nAnswer: -2*r**3 + 58*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6)*(-26)\/(33696\/378)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3468 = -39*c + 41*c. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 16. Determine t(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 96*r + 4 = 63*r. Let h be (-74)\/(-280) - (-2)\/8. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.9 - -35. Suppose -l = -4*v - 17, -11 = l - v + 4*v. Suppose 5*w + d + l = 0, 2*w - 5*w + 3 = -3*d. What is the nearest to -0.1 in 3, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45880838, 45880839, 45880838, 45880835?\nAnswer: 45880830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2202991, -4405968, -6608945, -8811922, -11014899?\nAnswer: -13217876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22.149 in 1, -1\/6, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2. Let h(d) be the third derivative of 0 + 1\/12*d**4 + 0*d + 6*d**2 + 0*d**3. Calculate h(m(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-252)*8*(-21)\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*t + 4085 - 5345 = -16*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000116822 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 0, -206 = -2*x + 11*t - 16*t. Differentiate 62*a**2 + x + 135*a**2 - 35*a**2 with respect to a.\nAnswer: 324*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 6559 = 4*n + 6419, 2*r - 3*n + 76 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532\/3*g**3 - 388\/3*g**4 + 14\/3*g**5 + 518\/3*g + 272\/3*g**2 + 116\/3 = 0. What is g?\nAnswer: -1, -2\/7, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 - 167*n - 3084. Determine h(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((32\/10)\/8)\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) -4.83 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43008, 172036, 387032, 687954, 1074760, 1547408, 2105856, 2750062?\n\"Answer: -7*l**3 + 43026*l**2 - l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-9))\/(2\/(15*102\/(-85))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*i - 209*i - 18 - 38 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.65274 millilitres in litres?\nAnswer: 0.02365274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 - 5*f + 3. Let p(y) = y**3 + y**2 + 3*y - 2. Let i(r) = r**2. Let d(z) = 6*i(z) - p(z). Determine -5*d(q) + 3*g(q).\nAnswer: 2*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1457010 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 141104 (base 6) to base 5\nAnswer: 410331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from {k: 2, u: 5, z: 6, x: 2, q: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439830385, 439830384, 439830383, 439830382, 439830381?\nAnswer: 439830380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17\/h*h)\/(h\/(h\/(h*h**(-9)\/h)))*(h\/((h*h\/(h*h**(1\/2)))\/h)*h*h)\/h**(-2\/19) assuming h is positive.\nAnswer: h**(1125\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 65*f - 1 - 2 - 2*f + 0*f + 4*f + (-3 + 2 + 3)*(-f - f + 4*f) + 0*f + 3*f - 2*f - 7*f + 4*f + 2*f.\nAnswer: -59*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-362)\/36 + ((-120)\/66)\/(22\/(-121))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41289, 82174, 122649, 162708, 202345, 241554, 280329, 318664?\nAnswer: 356553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2795425 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(4\/5))\/r)\/r**24*(r\/(((r*r**(-2\/81)*r*r)\/r*r)\/r*r)*r*r)**(-6\/7) assuming r is positive.\nAnswer: r**(-23456\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z + 110. Give x(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 267 = 255 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, n: 1, w: 6}. Give prob of picking 1 n and 1 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -m + 3, -5*f = -4*m + 12. Which is the nearest to f? (a) -40 (b) -0.5 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let c(k) = -6*k - 4. Let u(d) = -5*d - 3. Let i(s) = -3*c(s) + 4*u(s). Determine i(r(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p + 855 - 6*p**2 - 858 - 14*p**2. Let c(v) = 21*v**2 + 6*v + 4. Determine -5*c(j) - 6*y(j).\nAnswer: 15*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.0607?\nAnswer: -0.01214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 918?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -2. Let b = 3 - o. Suppose x + 61 = 4*q - 44, 4*x = b*q - 134. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1291 or 0?\nAnswer: -1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by -61.\nAnswer: -696\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdd when three letters picked without replacement from rdkkdrkkkkkrrrkkpkk.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1103561m in nanometers?\nAnswer: 110356100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 1732*x**3 - 4*x**2 + 6*x**2 - 832*x**3.\nAnswer: -2559*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 158*l - 4949. Let o be w(43). Which is the biggest value? (a) -16 (b) o (c) 3 (d) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l = 33*l - 2*t - 10, -2*l = -5*t + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2316 + -0.2316. Let r = -0.02 + 0.09. What is the closest to 0.1 in 2, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/320)\/(200\/(-6000)).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 n when four letters picked without replacement from {n: 4, r: 2, i: 3}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -179500 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30.2229+-282580\nAnswer: -282610.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - sqrt(600)*-2)\/sqrt(10))\/(sqrt(12) + sqrt(12)*1*-5) + 3*2*(sqrt(405) + -4) + -1.\nAnswer: -25 + 213*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3 - 3 - -5. Suppose -p*a + 7 = -8. Suppose 4*w - d = 2*d + 61, 0 = w + d - 10. Solve -a*m - 2 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-792)\/(-4641) + 1064\/(-6916)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06284686 rounded to five decimal places?\nAnswer: -0.06285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - 0.19. Let h = -0.37 - 0.03. Let j = 61.2 + -61. What is the third smallest value in j, h, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r - 3. Let m be p(-4). Suppose 4*x - 21 = -m. What is the least common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/210 - o**4\/4 + 6*o**2. What is the second derivative of m(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11606 is divided by 2857.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4085, -8188, -12293, -16400, -20509, -24620?\n\"Answer: -s**2 - 4100*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -254 + 40?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 58*y**2 + y + 41. Calculate n(-29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**10*d))**(-15) assuming d is positive.\nAnswer: d**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -231, -206, -155, -72?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13006266 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 2.4467.\nAnswer: -2.1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 3*l**5 - 4*l**5 + (-2*l - 2*l + 2*l)*(-l**4 + 0*l**2 + 0*l**2) - 5*l**5 + 2*l**5 + l**5 + 27*l**5 + 3700 + 3683 - 11017 + 3670.\nAnswer: 29*l**5 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + w - 3*w)*(2*w - w + w) - 1986*w - 44*w**2 + 1986*w to the form r*w + y + p*w**2 and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 929, 4114, 9463, 16970, 26629, 38434, 52379, 68458?\nAnswer: 86665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47299206.\nAnswer: 2, 3, 71, 111031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4090.193 litres to millilitres.\nAnswer: 4090193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21096*n - 4. Give h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7936.759 times 0.7\nAnswer: 5555.7313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2. Let v(c) be the second derivative of -c**4\/2 + 5*c. What is m(v(o))?\nAnswer: -216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 + 1 = 0. Let a = 4 - y. Put 4, -5, a in decreasing order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 11, 21, 33, 47, 63, 81?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15819 or -7\/58?\nAnswer: -7\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -77\/24*s**4 + 21*s**3 + 4 - 2*s**2 + 0*s. Find the first derivative of c(a) wrt a.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(35\/(-15)) + 15\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2165568.5952 to the nearest 100.\nAnswer: -2165600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*2*0\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1841\/9879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90645 is divided by 22651.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-42) + (-286)\/(-1092). Determine t so that 2\/3 - a*t**2 - 1\/3*t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -644 divided by 161\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2657 = -d, 3*l = -2*d + 2206 + 453. Let c = l - 1485. Is 1\/(3\/c*-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1475, 1473, 1471, 1469?\n\"Answer: -2*b + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*276\/(-529)*-3*(-12)\/9\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*f**2 - 23*f**2 + 11 - 27*f**2 - 32*f - 3*f + 72*f**2 to d*f**2 + o*f + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lssqlllaaalllsql. Give prob of picking 2 s, 1 l, and 1 a.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**7)*o**(7\/5))\/(o**6*o*o**21) assuming o is positive.\nAnswer: o**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/6*1\/2. Let b(u) = u**3 + 5*u**2 + 2*u - 3. Calculate b(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -4. Let z = a + -26. Differentiate z*n**3 + 11*n**3 - 23 + 9 wrt n.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -409*u + 206*u + 1 + 206*u. Give n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 take away 45885128.6?\nAnswer: -45884520.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -12, -48, -122, -246, -432, -692?\n\"Answer: -2*k**3 - k**2 + 7*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {t: 1, p: 1, m: 2, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5307.828882 to the nearest 10.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1817814.9989 - -1817891. Let d = 58.9 + 17.1. Let o = k - d. Round o to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/4*(9\/(-7) + 1). Sort -0.004, 2\/11, 0.1, l in descending order.\nAnswer: 2\/11, 0.1, -0.004, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w + 1. Let k(l) be the first derivative of l**2\/2 - 10*l + 1. Let i be k(6). Is u(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652784 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1689?\nAnswer: -168b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*2\/3 - 3\/1. Let f(v) = 11*v. Give f(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000059929356 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1 - (41 - 690) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 60 = q + 3*q, -q + 29 = 3*p. Suppose -4*f - p = -6*f. Suppose b = 3*j - 2 + 7, b - f*j = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530962844 and 3704?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1133 and 2060.\nAnswer: 22660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (18\/(-12))\/(11\/38).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13431 and 12432?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 5. What is the least common multiple of h(4) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1315)\/35 - (-21)\/(-49). Put -2, 5, r in descending order.\nAnswer: 5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1, -c - 2*k = 2*c - 26. Let q = 969860 + -969464. Calculate the smallest common multiple of q and c.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -67*d - 2*d + 17328. What is the remainder when 925 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*i**2 + 324*i**2 - 157*i**2.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - ((-7484)\/6 + -1). Suppose 4*l + u = 7*l. Suppose -q - 2*k + 126 = 33, -4*q + 3*k = -l. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**5*q + 1299*c**4*q**2 - 17*c - 10*q**2 - q + 8 wrt c.\nAnswer: -80*c**3*q + 15588*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -1. Let m = -2 + p. What is the third derivative of 4*t**m + 3*t**2 - 3*t**2 - 2*t**2 wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18 and 117\/1275302.\nAnswer: 11477718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06426 - -1.06426. Let n be (0 - 2) + (1 - -3). What is the second smallest value in -2, n, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.03 - -8. Let b = i + 4.03. Let g = 31568 - 31567. What is the nearest to g in 2\/7, 2, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5929 + 47523\/8. What is the common denominator of 19\/18 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949314.\nAnswer: 2, 974657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(-2)\/(-32) + (111 - 111)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-88)*44\/55)\/(2\/76)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 67137*k. Let g(h) = -15*h. What is g(o(v))?\nAnswer: -1007055*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (1 + (-1 - -2)). Let t(l) = 2*l + 1. Let z be t(2). Suppose d = -z*b - 4 + 94. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -89 + 61. Let o(t) = -3*t**2 + 1 + 9*t + 2*t**j - 26*t + 17*t. Let f(x) = 5*x. Give f(o(l)).\nAnswer: -5*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*k**2 + 150*k**2 - 464*k + 152*k**2 - 470*k**2.\nAnswer: -2*k**2 - 464*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, d: 5, b: 2, f: 4}. Give prob of picking 1 b and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 4. Calculate the least common multiple of j(-9) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -8560?\nAnswer: -8562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -115*2655\/225*(-1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 685632.\nAnswer: 19\/685632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 - 29*t**2 + 246*t + 861. Calculate r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 25. Let n(g) = 5*g**4 + 9*g**3 - 5*g - 3. Let q(y) = 4*y**4 + 8*y**3 - 6*y - 2. Let i(x) = t*q(x) - 4*n(x). Solve i(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342978068 to the nearest integer?\nAnswer: 18520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 32.52.\nAnswer: -3.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-45))\/((-24)\/12*-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13581\/(-171) + (-264)\/(-627)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*c = -370*c + 517. Which is bigger: c or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3235 in 4, -0.3, 2439?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 - 2*u**3)*(-3 - 200*u - 1 + 334*u).\nAnswer: -268*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 4*b. Suppose 3*v - 6*h - 6 = 0, -4 = 3*v - 5*v - 3*h. Calculate the smallest common multiple of v and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 = 2*a + 111, 5*n - 171 = 3*a. What is the remainder when 5 + -3*a\/9 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*m*y**2 + 252*m*y + 2*y**2 wrt y.\nAnswer: -104*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + 553 - 883 = 0. Solve -4*m + 3*r = v, 4*m - m - r + 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246 + 117. Let f = l + 238. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0, -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8864096 to the nearest integer?\nAnswer: 2977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24721 (base 9) to base 16.\nAnswer: -40f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 6*t**2 + 3*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/11, 4, -1\/7, -57 in increasing order.\nAnswer: -57, -2, -4\/11, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 84, -1.2, -3\/8, 0.1, 0.01, 0.2, -2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*s = -6*s + 20, -2*s = -t + 8. Calculate the least common multiple of t and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 2*p + 4. Let b be f(-2). Let c(q) be the third derivative of q**5\/30 + q**4\/4 + 2*q**3\/3 + q**2. What is c(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/5 - -59\/45. Let c(r) = r. Suppose 5*z - 15 + 2 = -2*m, -3*z + 11 = -2*m. Let j be c(m). Is k at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130197460 to the nearest ten thousand.\nAnswer: -130200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212343*k*t**2 - 2*k*t + k - t**2 - 32731*t - 2 wrt k.\nAnswer: 212343*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 33, 17, -17, -75, -163, -287, -453?\n\"Answer: -o**3 + 3*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11857, 11987, 12007, 11923, 11741, 11467, 11107, 10667?\n\"Answer: p**3 - 61*p**2 + 306*p + 11611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j**2 - 93*j + 26. Let g be z(-22). Suppose -g = -10*o - 2494. What are the prime factors of o?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32505054.\nAnswer: 2, 3, 17, 318677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 36 = -6. Let d be r\/((-28)\/(-6))*2. Suppose -k + 308 = d*k. Does 46 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 43. Suppose -c - n = -20. Suppose -5*f = -c*f - 3. Solve 10 = f*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508929 not equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - 12 = 0. Let k be (c\/7)\/((-15)\/(-10)). Let d be 4\/(-3)*6\/(-20). Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584017591.\nAnswer: 467, 683, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (177\/(-21) + 9)\/(2\/7). Solve -5*n - 35 = 5*o, 0 = 4*n + d*o + 13 + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 3*h - 8*h.\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139425\/(-234))\/325*12\/32*2.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 50. Let p(c) = c - 14. Let w(f) = 1. Let b(x) = -p(x) - 2*w(x). Let o(r) = 3*r - 35. Let a(k) = -7*b(k) - 2*o(k). What is a(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 - 17 + 24 - 7.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -201220 (base 3) to base 11\nAnswer: -449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b + 169*b = -3*w + 11, 2*w = -3*b + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528204 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h**2 + 0*h**4 - 59\/5*h**5 + 36 - 126*h - 1\/3*h**3. What is the derivative of f(o) wrt o?\nAnswer: -236*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y + 6. Let u be -2*15\/6*1. Let l be j(u). Solve -k - 2*k = l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18.525723 milliseconds?\nAnswer: 0.00030876205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(324\/(-32))*(18\/(-4))\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 - 4*s - 3. Let p(c) = 112*c**2 + 63*c + 49. What is -3*p(n) - 49*v(n)?\nAnswer: 7*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*s - 4381 - 2579 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 721 - 217. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26756 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 38*o**2 + 4*o - o.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350.7715mm to meters.\nAnswer: 0.3507715","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7554 divided by -2518.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*x + 16641 - 16581 = 0, -n - x - 23 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 81028920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863624, -863584, -863544, -863504?\nAnswer: -863464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12271, -24931, -37607, -50305, -63031?\n\"Answer: -u**3 - 2*u**2 - 12647*u + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v + 144*v + 147 = 98*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) + 2)*5)*6*-5 + 1 + ((2*sqrt(91) + sqrt(91) - sqrt(91))\/sqrt(7) - sqrt(2548)\/sqrt(4)).\nAnswer: 301 + 1435*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/210*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -45 - (-4)\/(-8)*-6. Let x = r - -74. Suppose -3*g = -x - 73. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjv when three letters picked without replacement from xjrprrrvpvvxxvkvvj?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -2*x, -11*f + 14*f = 0. What is the smallest common multiple of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-8)\/20*(-25)\/30)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - w + 4 = -3, -4*l - w + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:11 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/2 of a milligram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282009 != 282035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -289\/3. Let j = -0.11 + 5.11. Let q = -2 + j. Which is the second smallest value? (a) q (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80b164 (base 14) to base 5\nAnswer: -2102124220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/12*(-27)\/18. Let x(g) = -2*g + 3*g**2 - 4*g**2 - 2*g**2 + 4*g**2. Let r(t) = 1. Calculate b*x(v) - 3*r(v).\nAnswer: -v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*2 - sqrt(110)\/sqrt(45))\/((sqrt(2400) + sqrt(2400)*-2 + sqrt(2400) + sqrt(2400))\/sqrt(12))*3.\nAnswer: 53*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 21327 and 21292 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 351, 2, 3.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44020460 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8780365 and 653085.\nAnswer: 79023285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o - 2*t - 15, -2*t = -4*o - 14. Let g = -19416.06 + 19416. Let l be (6\/(-63))\/(2\/6). Which is the closest to 1? (a) o (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 193*w - 187. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**6\/60 - j**5\/10 + j**4\/12 + j**3 - 53*j**2\/2 + 6*j - 1. Let v(h) be the first derivative of b(h). Factor v(d).\nAnswer: -2*(d - 1)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxwqxqkwwqwywq. What is prob of sequence wxqy?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*g**2*n*t**2 + g**2*n*t - g**2*n - g*n*t**2 + 14*g*n + 4*g + 2*n*t wrt g.\nAnswer: 280*n*t**2 + 2*n*t - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.966 (b) 23 (c) 0.3 (d) 0 (e) 5 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161 and -16.\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2023499, -2023531, -2023561, -2023589, -2023615, -2023639, -2023661?\nAnswer: -2023681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - -0.02. Let j = 37.21 + -37. Let m = j + -0.31. Which is the closest to m? (a) l (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1513873877 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:17 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonooooonnoononoono. Give prob of sequence onn.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-6)\/(-8))\/((-990)\/165).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.0000003 + 16. What is o rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445541 + -1?\nAnswer: -445542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2306, -2305, -2304, -2303, -2302?\n\"Answer: r - 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21774 is divided by 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25065934.\nAnswer: 2, 12532967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 16 = 4*z, -4*h + 3*z + 27 = -7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*s + 16 = 0, 15*s = -53*l + 57*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caacacscssaakccc. What is prob of picking 2 a and 2 c?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*v**5 - 63*v wrt v?\nAnswer: 1000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2. Let d(u) = 982*u - 44. Let x(v) = 491*v - 24. Let w(y) = -6*d(y) + 11*x(y). Calculate n(w(c)).\nAnswer: -482162*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 102*f + 100*f = -12, 0 = 3*i + 5*f - 21. Solve 3*a - i*s + 5 = 0, 4*s - 15 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50840.96 millilitres?\nAnswer: 50.84096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 1920?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(1 + sqrt(7)) + -2 + 4.\nAnswer: -5*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239756958 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -71ec?\nAnswer: -71ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.3 - 27.73. Let j = m + -1.6. Which is the third smallest value? (a) 0.1 (b) 4 (c) j (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*t + 7, -2*r + 1 = -4*t - 21. Is r at most 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f = -0*f - 3, -2*f + 12 = a. Suppose -3*x + 0 + 6 = 3*c, 0 = -3*x + c + a. Suppose 12 = -4*z + 5*k, -2*z - k + 2 + 6 = 0. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + ((sqrt(704) - (-2 + sqrt(704)) - sqrt(704))**2 + 1 + (sqrt(704)*1*5)**2)*2*-3.\nAnswer: -109853 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (561\/(-153))\/((-1)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 4776*f - 4664*f - 4665*f - 4661*f - 4665*f + 23431*f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -22. Find the second derivative of -111*h**i + 11*h + h + 140*h**4 wrt h.\nAnswer: 348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 419874768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6712, -26814, -60318, -107224, -167532, -241242?\n\"Answer: -6701*i**2 + i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1073.08.\nAnswer: -1072.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 19 + 11. Suppose u = -2*r + 60. Suppose -3*y + 18 + r = 0. Calculate the remainder when 28 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:36 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + k + 10. Let t = -25 - -17. Let u be w(t). Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 51. Let i(d) = -5*d - 102. Let s(r) = -5*h(r) - 2*i(r). Let x be s(-11). What is the greatest common factor of 116 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1 - -10)*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 60 = 16. Calculate the lowest common multiple of 2 and (-6)\/18 + u\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 31 = -3*s, 5*s + 0 = 10. Calculate the smallest common multiple of 6 and 2 - ((-27)\/y - 9\/15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q - 4. Suppose 30 = 5*r + 2*m, 5*m - 17 = 56*r - 54*r. Put 1, r, q in decreasing order.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2 - 119*c - 28 wrt c.\nAnswer: -2*c - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 4288401?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1 + 15*m - 15*m - 25*m. Let x(v) = -75*v - 3. Let j(z) = -8*s(z) + 3*x(z). Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68e - 0?\nAnswer: -68e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*y = -8848*y - 2565*y - 867216 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1167254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -223, -434, -643, -850, -1055, -1258?\n\"Answer: w**2 - 216*w + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 0, 5*l + 4*f - 83 = 0. Let i = l + 31. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18\/19 - 92\/57. Let v = 17 + -17.7. Let i = v + 0.2. What is the smallest value in i, t, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmqpmq. What is prob of picking 2 q and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 94.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/3360 + l**7\/560 + l**6\/240 + l**5\/240 - 17*l**3\/6 - 4*l**2. Let o(a) be the first derivative of k(a). Factor o(w).\nAnswer: w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Let i(u) = -u**3 + 2*u**2 + 3*u + 2. Let n be i(m). Calculate the common denominator of -4\/9 and (n\/6)\/(25\/(-870)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 408272*f**2\/9 - 1633112*f\/9 + 1633120\/9.\nAnswer: 2*(f - 2)**2*(f + 204140)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 8. Give j(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 696 + -484. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13019.9831 rounded to the nearest 100?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y**3 + 59085*y**2 + 43645350*y + 10907645 = 0. Calculate y.\nAnswer: -1477, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 + 1\/60*b**5 + 1\/6*b**3 - 1\/12*b**4 - 2*b**2 + 0*b. Factor u(f).\nAnswer: (f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 5*k**2 + 2. Let j(b) = 2*b**3 + 3*b**2 - 1. Let z be (2\/(-5))\/(3\/(-15)). Let i be ((-12)\/(-2) - 0)\/z. Calculate i*g(y) + 5*j(y).\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27.6 or 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4 + 14272*f**3 + 299249*f**2 - 313522*f = 0.\nAnswer: -14251, -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/20*10\/3. Suppose -h*g + 13 = 1. What is the units digit of ((-4)\/(-6))\/(2\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.414874581 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u + 124 = 219 - 732 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 4, -0.3, -2, 32, 2\/31, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 1)*(d - 2*d - 2*d) as m + a*d and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 + -462. Is -2 + 3*(-418)\/n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 635 (b) -1361 (c) 299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.221666 and -0.54.\nAnswer: 0.11969964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h**2 + h + 1. Let g be f(-1). Let r be (g\/(-15))\/(4\/10). Let n(y) = 1 - 5*y + r + y**2 + 1. Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 + 8*d**3 - 2*d**4 - 7*d**3 - d**2 + d**2 as a*d + y + s*d**3 + l*d**2 + v*d**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.028 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.318953 to 3 decimal places.\nAnswer: -0.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 3*g, 3*a - 2*a = g + 1. Let c(z) = 2*z + 7. Let p be c(-5). Let d be ((-1)\/p)\/(8\/(-12)). What is the nearest to d in a, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 less than or equal to 14756\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132764976 is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.86999 and 0.37.\nAnswer: 2.23999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - d + 69 = -5*d, 2*o - 150 = 5*d. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 3*q**2 - 2*q**2)*(2*q**2 + 3*q**2 - 3*q**2) - 3*q**4 + 14863 - 14966 + 0*q**4.\nAnswer: 5*q**4 - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.39626 - 26.4. Round y to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -0.79. Let c = b + 0.3. Put 2\/9, c, 5 in decreasing order.\nAnswer: 5, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-8)\/6) + 1\/2. Let n be 3\/(-15) + 1\/55. Let z = -224 + 226. Which is the closest to -1\/3? (a) m (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -2758?\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-3))\/(-7))\/((-21)\/(-18))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 29 = -2*m + 3*a, -4*a - 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p. Sort p, 16, 4 in descending order.\nAnswer: 16, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2292 and -79\/1528.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14463 is divided by 598?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-204)\/((-5)\/3 + 22\/33). Suppose 2*c - i = -2*i + 393, 0 = -c + i + b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65248 divided by -5?\nAnswer: 65248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751787 to the power of 1\/2, to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c**2 - 3*c**2 + 4*c**2)*(-24 + 2 - 11) + c**2 - c**2 + 2*c**2)*(2*c**2 - c**2 + c**2).\nAnswer: 136*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1186864 or -1?\nAnswer: 3\/1186864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -5, -0.5, -156 in decreasing order.\nAnswer: -0.5, -4, -5, -7, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 8:21 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 27956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-2\/7)\/u)))**10*(u**(-2\/3))**(1\/37))**(-4\/13) assuming u is positive.\nAnswer: u**(40016\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13*z**3 - 1. Let l be u(-1). Suppose -22*b - 33 = -25*b. Suppose -6*g = -b*g + 15. Solve -g*x + l = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g**3 - 7359*g**2 - 539*g + 15281. Determine s(-566).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 4. Let q be b(4). Suppose 4*n = -q, -3*i + 6*n = 2*n - 34. Is 13 a factor of (-5)\/i - 27\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/519118 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 1. Let f(q) = 5*q**2 + 2*q - 4. Give -f(c) + 3*r(c).\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 22. Let c(g) = g**2 + 9*g - 14. Let j be c(-10). Calculate the smallest common multiple of v and (-15 - -8)*j\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18984 and 638337?\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 23*n**2 - 5*n**2 - n to f + j*n + p*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkkkb. What is prob of sequence kkb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 110?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4)*(3 + -4). What is the first derivative of 11 + 4*w - c*w - 24*w wrt w?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/((q**(-2)*q)\/q)*q)\/q)**(6\/25)*q*q**(-10)*q**(3\/2))**(-45))**(-5\/12) assuming q is positive.\nAnswer: q**(-981\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -525118 from -0.08.\nAnswer: 525117.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - 23. Let v = n + 320\/3. Calculate the common denominator of -5\/33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c**5 - 102*c**4 - c**2*k - 206*c*k + 21*c wrt c.\nAnswer: -300*c**3 - 1224*c**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3\/4 (b) -466 (c) -9.16 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*a + 46, -4 = 81*f - 80*f - 3*a for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110000101110010010 (base 2) to base 8.\nAnswer: 7605622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let w(i) = -58*i + 126*i - 59*i. Give w(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 3. Let t be n(-1). Let a = 10 - t. Is a < -3\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 16, m: 4}. Give prob of sequence hh.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1133387 and -39\/86137412.\nAnswer: 86137412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d + 75. Calculate the remainder when 19 is divided by s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7514065 minutes in milliseconds?\nAnswer: 45084.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*18\/(-189)*186\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 26*r**2 + 20*r**2 - 2 - 622*r.\nAnswer: -6*r**2 - 622*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (66 - 24) + -48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1577 and 7968.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 9*h + 13. Let p(v) = v**3 + 4*v + 6. Suppose 3*b = 2*i - 0*i - 8, 3*i - 12 = 2*b. Calculate i*y(d) - 9*p(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 7. Let r = v - 8. Suppose 5*u = -10, 3*f - u = -r*f + 56. What is the smallest common multiple of f and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132103375 to six decimal places.\nAnswer: 0.01321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g**4 + 2*g**3 + 2*g**2 - 23*g**4 - 14 - 8*g**4 + 0 to p*g**4 + s*g**3 + n + l*g**2 + k*g and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + 90\/12. Let m = f + -2. What is the biggest value in 0.2, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 83, -1, -3.\nAnswer: -3, -1, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 4, j: 2, l: 4}. Give prob of sequence alj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1712, 160, 1, -2\/49 in increasing order.\nAnswer: -1712, -2\/49, 1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 y when three letters picked without replacement from cyluo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 8.9816?\nAnswer: 476.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3325\/8, 3, -1\/2 in descending order.\nAnswer: 3325\/8, 3, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Put 1, -4\/3, t in decreasing order.\nAnswer: 1, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h. Let g(p) = 33363*p**2 - 2*p + 2. What is g(f(s))?\nAnswer: 2135232*s**2 - 16*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.458 micrometers in nanometers?\nAnswer: 36458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4 - 1629*l**3 - 110884*l**2 + 1309356*l + 3049200 = 0.\nAnswer: -75, -2, 12, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10414 - -123?\nAnswer: -10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26596 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5453\/24613?\nAnswer: 5453\/24613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/7)*k)**0\/(k*k**(-1)\/k*k**(-2\/9)))**14)**(-12\/11) assuming k is positive.\nAnswer: k**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 1183*n**2 + 2363*n - 1181.\nAnswer: (n - 1181)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/47 - 641\/282. Let x = -27 - -16. Calculate the common denominator of s and 0 + 1 - 17\/x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5\/4, -1\/6, -6, 1\/3, 3 in descending order.\nAnswer: 3, 5\/4, 1\/3, -1\/6, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/2)\/(3\/8). What is the common denominator of -41\/8 and ((-1)\/g)\/(2\/(-36))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.3. Let o(p) = 3*p - 8. Let d be o(8). Let s be ((-3)\/d)\/(5\/(-20)). What is the smallest value in j, s, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m - 11. Let f be o(6). Which is the smallest value? (a) f (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 4, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(66))\/(sqrt(6)*4*4 - sqrt(6)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -30*(2 + (-168)\/70). Solve 30*u + l = 26*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 84. What is the common denominator of (165\/b)\/(3\/3) and 63\/39*3\/3*-1?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1591, -428, -2, 2 in decreasing order.\nAnswer: 2, -2, -428, -1591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 156936819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927*r**2 - 12038 + 12038 - 335*r**2.\nAnswer: 592*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14c (base 14) to base 7\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718.05 - -688. Let f = p + 0.05. Let a = f + 30.000017. Round a to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10522 + 11877. Calculate the remainder when i is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1287\/(-385) + 30\/(-40))\/9 and -93\/70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/140)\/(4\/(-42)*6))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11987\/11 + 1089. Let u = j + 29\/55. Let z = -0.132 - -0.132. Put u, 3\/2, z in increasing order.\nAnswer: u, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Which is the third biggest value? (a) j (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -568392 - -5?\nAnswer: -568387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2786 - 2761. Solve l*j + 44 - 144 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -643\/5 - -129. Let s(n) be the first derivative of l*n**5 + 0*n**2 + 2 + 0*n**3 + 0*n**4 - 2*n. Find the first derivative of s(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -20*i**3 + 9*i - 4. Let j be w(-8). Suppose j = -24*t + 45*t. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**4 - 80*p**3 + 36*p**2 + 56*p.\nAnswer: -4*p*(p - 1)*(p + 7)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9382917793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7539, 18165, 28791, 39417?\n\"Answer: 10626*i - 3087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0\/1 + 1. Suppose r*v - 100 = v. Suppose 43*f - 11 = -3*m + 47*f, -3*m = 5*f - 74. What is the remainder when v is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -17.6. Let o = 0.1 + j. Let s = 0.70003 - o. Round s to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25050 and 5344.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3 (c) 5 (d) 25 (e) 6 (f) 28 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 11 (c) -129.31 (d) -4 (e) -1 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 - 2*x**2 + 17*x**2 + 10*x**2 - 19*x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14393\/28786*((-13)\/(-2) + 1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259784446 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001109791412 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.5. Let l be ((-37)\/(-888))\/(1*(-2)\/(-18)). Sort l, -7, g in decreasing order.\nAnswer: l, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78*t - 88*t - 43*t)*(7*t - 4*t - 1 - 5*t) as m*t**2 + u + k*t and give m.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**4 - 1604821*w**3 - 1677632*w**2 + 2 wrt w?\nAnswer: -144*w - 9628926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 39*x - 165. What is c(31)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 2*p**3 - 5*p**2\/2 - 11. Determine v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6))\/(21\/(-112)). Suppose -4*g - 128 = -m*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808 less than 192433912?\nAnswer: 192435720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1419)\/(-21) - -1)\/((-2)\/(-113750)). Round b to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9\/v)\/(v\/v**(-23\/4)))**(1\/54) assuming v is positive.\nAnswer: v**(5\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4911 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 + 147.6. Which is the third smallest value? (a) -1 (b) 8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 5\/3, -2\/3, -5 in increasing order.\nAnswer: -86, -5, -2\/3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 5:33 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683469 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 79*k**2 - 249*k - 41. Give p(36).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 1\/9, 91 in ascending order.\nAnswer: 1\/9, 59, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.06938*58\nAnswer: 4.02404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*m + 58. Solve -2*r - v = 5, -3*r - m = r - 2*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1216 and 8.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 55 = -715. Solve 16*y - 45 = t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, -32\/11, -15\/7, -166?\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -10. Let x = u - 4. Let k = -2 - -1. Which is the closest to k? (a) 1\/3 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssaqwpwwpssapwswsas. Give prob of picking 1 a, 1 s, and 2 p.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + 486*a**2 + 484*a = 0 for a.\nAnswer: -242, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001 (base 2) in base 9?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 - 7*j**2 + 4*j**4 + (8 - 4 + 8)*(3*j**4 - 4*j**4 + 3*j**4) in the form z*j**2 + o*j**4 + m + x*j + g*j**3 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*((2 + 4 + 3)*(a + 5 - 5) - a + 3*a + 0*a) to t*a + v and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1395 + (2 - (9 + -3)). Let r = 3430 + i. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-585)\/(-312) - -1*(-1)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-7))\/s**(-1))\/(s*((s*s*s\/s**0*s)\/s)\/s)**(-30))**20)**(2\/9) assuming s is positive.\nAnswer: s**(3400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l + 9. Suppose 2*x - 69 = -5*m, 144 = 4*x + 2*m + 14. What is the lowest common multiple of x and c(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (3 + -3 + -3). What is the second derivative of 10*x**t + 5*x - 4*x - 8*x**4 wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80924 by -5.\nAnswer: 80924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwztwqq. Give prob of sequence qqww.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1 - o**3 + 3 + 79*o**2 - 74*o**2. Let p be v(5). Suppose 3901 = 3*x - w, 1412 + 1183 = p*x + 5*w. Round x to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:28 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8462201819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from rrkrhkrrkrrrkr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621136.\nAnswer: 2, 38821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*-51*3\/(-36). Suppose -7*d + 8*d = n. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 2*a - 1. Let x(i) = -i**2 - i. Let h(j) = -3*d(j) + 6*x(j). Factor h(l).\nAnswer: -3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1406 - -1409. Put 1, 52, q, -4 in decreasing order.\nAnswer: 52, q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-25))\/((-1)\/20). Let i be (-2)\/(-4)*(-4)\/l. Which is the nearest to i? (a) -2\/5 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57614110.\nAnswer: 2, 5, 139, 181, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7666*-1.07.\nAnswer: -8202.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-3))\/(-3))\/1. Suppose 5*d - 47 - 608 = b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448627 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 12*m**2 - 3*m - 5. Let u be w(10). Let b(a) = a**3 + 2*a**2 + 32. Let i be b(0). Suppose i*k + u = 33*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 - 7*p**2 - 24*p - 108. Is 54 a factor of f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l**2 + 17 + 8*l**2 + 33 with respect to l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6582257051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/21 in -2\/5, -0.2, -0.5, -2\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = g - 38, -4*d - 529*g + 532*g + 38 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 13*b**2 - 8*b - 8. Let a be h(12). Let o = -10 - -12. Suppose o*j - 25 = 55. Calculate the greatest common divisor of a and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 12*g + 33. Suppose f - n - n = 16, -5*f + 5*n = -90. What is the remainder when f is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - 4. Let t(m) = -41*m - 17. Let f(s) = -27*s**2 + 1729*s - 55. Let r be f(64). Calculate r*l(h) - 2*t(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = b + b - 425, -1070 = -5*b - 5*u. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6 + -2) - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1232 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107804 + 242384?\nAnswer: 1350188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:58 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iyiiyii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-4))\/(4 + (-164)\/40) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-68)\/(-12) - 1\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5792807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/22 and 35\/688.\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -e810 (base 15) to base 14\nAnswer: -13c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36)\/1*(-1407)\/469?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 + -3950202.\nAnswer: -3950201.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/15 + (-26)\/5. Let c(u) = -3 - u + 3*u - u. Determine c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p**2)*(25*p**3 + 6*p**3 + 0*p**3).\nAnswer: 31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*j - 33487 - 31187 - 17374 = -656*j for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-12))\/(-5))\/((-1)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6494674 is divided by 1306.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - ((8 - -2) + -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8600258.\nAnswer: 2, 43, 100003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195272 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 + -454. Suppose 4*f + 2*w = 36, -6*f = -5*f + l*w. Solve 2*c + f = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(300)*-1)\/sqrt(6))**2 + 1.\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 5, f: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/84*2)\/((-312)\/(-364))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69090127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16982 and 7532?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/40 + 18\/(-15)*36\/(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -39. Solve -4*u + v*g - 4 = -0, -5*u = -g + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 406 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-28) - 44\/77?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. What is the tens digit of 400\/28 + x\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - -0.02. Let r = v + 0.64. Let u = 2.5 - r. Which is the closest to 1? (a) u (b) 1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 + 2*j + 10. Let i be b(-8). Suppose -2*a = 2*l, 4*l + 0 = 5*a + 9. Put l, -4, -3, i in decreasing order.\nAnswer: l, -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and -28\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 240. Let c be l(48). Solve 4*o + 1 = -u, -3*o + 4*u + 23 = -c*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let g(t) be the second derivative of 19*t**6\/360 + 2*t**3\/3 - t**2\/2 - 2*t - 16. Let x(b) be the second derivative of g(b). What is q(x(z))?\nAnswer: -722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41428, -74379, -107330, -140281?\n\"Answer: -32951*y - 8477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22c9 (base 15) to base 14\nAnswer: -299b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 44*o**2 - o - 3. Let p(d) = 89*d**2 - 2*d - 7. Let m(u) = -7*c(u) + 3*p(u). What is the second derivative of m(b) wrt b?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + 3. Let x = 0 + 4. Suppose 2*y + 15 = -3*g, x*y + 2 + 18 = -4*g. Let n be j(y). Sort -3, n, -5 in decreasing order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 18*q**3 - 53*q**3 + 6*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -111223331?\nAnswer: 111230002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1637024, -3274040, -4911056?\nAnswer: -6548072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b98 (base 12) to base 2.\nAnswer: 110101111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -43426.\nAnswer: 3\/43426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 2\/325?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136087\/2418 + 46\/403. Let o = r + 320\/3. What is the common denominator of -1 + 2 + -5 + -2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -75*h + 3617. Calculate g(49).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -38. Let j = f + -10. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461269.\nAnswer: 461269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 16 + 44. Suppose 0 = 10*f - 9*f - v. Suppose -924 - 1776 = -10*a. What is the highest common factor of f and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17270466 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(0 - (2 - 1)). Let j = v + -19. Calculate the remainder when 16 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 4552277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(32) - sqrt(8)))\/(sqrt(90) + sqrt(90)*1 + sqrt(90)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*r + 1, 10 = -u - 4*r + 2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -32*v + 256. Determine b(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936396155 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -183?\nAnswer: 1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2. Let q(g) = -82576*g**2. Give q(p(n)).\nAnswer: -82576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*k + 46. Suppose k*w = 14*w. Solve 0*g + 3*g + n - 11 = w, -3*g + n + 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*p - 11, 4*p - 3 = 3*d + p. Suppose -d*w + 0 + 12 = 0. Let h(n) = -n**3 + 5*n**2 - 3*n + 3. Calculate the lowest common multiple of h(w) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080 divided by -216.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1476214 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/85 and -12*11\/429*2.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -570.04 smaller than 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -56218*g. Let y(x) = -x. What is y(t(j))?\nAnswer: 56218*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/23 + 31\/92. Let w = 769\/1910 - 1\/382. Which is the third smallest value? (a) x (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -627*h**2. Let j(f) = -f + 73. Give j(q(o)).\nAnswer: 627*o**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0) + (7 - -1). Let s(c) = -n*c + 3*c + 0*c. Let z(y) = 10*y**2. Calculate z(s(i)).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 7, h: 2, a: 9}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 2*m - 7*m**2 - 3*m**2 + 14 - 3*m + 0. Let b be i(10). Solve -3*g - 21 = -p - 2*p, 24 = b*p - 3*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6158 + 6286. Let a(i) = -5*i**2 + 5*i - 4. Let o be a(-5). Let n = o + p. Which is bigger: -25 or n?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(2\/(-140) - (-4)\/(-20)). Let x(q) = -2*q**2 + 6*q. Let k be x(4). Let r = h + k. Solve -u + o - r = -o, 3*u - 4*o = -12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -13 (c) 0.5 (d) -3\/4 (e) -0.69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -9. Put 1, -5, n in ascending order.\nAnswer: n, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 13*m + 2. Let s be b(-13). Find u such that 2*u**2 - 20 - 3*u**3 - s*u + 11 + 5*u + 7*u**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14719360*w**3 - 2832*w + 1361.\nAnswer: 88316160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 163248 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 4. Suppose 0*l = -l - o. Let z be (-76)\/l - (-8)\/4. Solve 3*f = 5*w - z, 3 + 7 = 2*f + 4*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(612)*1 + 0))**2 + ((2*2*sqrt(2057))**2 + sqrt(2057) - (-1*sqrt(2057) + -5)).\nAnswer: 22*sqrt(17) + 48217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 892112453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1398919ug to kilograms.\nAnswer: 0.0000000001398919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4*r + 1. Let u(f) = -f**2 + 5*f - 1. Let v be u(4). Suppose -g + v*g = 4*d + 14, g - 1 = -4*d. Let y be (0 + 1)*d*4. Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)*2*-3)**2 + 4 - (sqrt(84)*2*6)\/(-1*sqrt(12)*4).\nAnswer: 3*sqrt(7) + 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -223*k**3 + 30*k**2 + 22*k - 12. List the prime factors of m(-6).\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, c: 3}. Give prob of sequence cwc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 162.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 + 0.5. Let y(w) = -w**3 - 4*w**2 + 4*w + 1. Let p be y(-5). Let u be 99\/(-18) + -2 + 1*p. Put -0.01, u, z, -2\/9 in decreasing order.\nAnswer: -0.01, -2\/9, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*y + 5*o, 15 = 3*o - 6*o. Let s be (-3 - 0 - 0) + y. Let r be 6\/(-3 - -5) - s. Which is the second biggest value? (a) -4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let j = -2.018 + 1.918. Which is the closest to 1? (a) d (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -535.01*9\nAnswer: -4815.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyl when three letters picked without replacement from {y: 2, t: 2, g: 3, l: 4, z: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8806.77573 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*w**2 + 7*w**2 + 5*w**2)*(-4*w**2 - 7*w + 7*w) + (w**2 - 2 + 2)*(-w**2 + 2 - 2).\nAnswer: -473*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -2\/15, 6, 2\/11.\nAnswer: -2\/15, 1\/10, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -396.69 - -396.5. Put 2\/43, -5, w in increasing order.\nAnswer: -5, w, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 9*j + 40*j**2 + 2*j + 2*j to the form x*j**2 + k*j + l and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.1, 2, -0.1?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577406 - -1.42385115?\nAnswer: 1.36611055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101110210 + -10?\nAnswer: 1101110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1004311444 (base 5) to base 7\nAnswer: 23135224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*z**3 + 26*z**2 - 793*z - 1812301.\nAnswer: 42*z**2 + 52*z - 793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -139*n - 23. Let l be s(-9). Let i = l + -725. List the prime factors of i.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25084 - 8884. Is r a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 + 34*m**2 + 12*m**2 + 6848 - 6*m**2 - 4*m**2 - 6848.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*z - 9*z = 306 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnwf when four letters picked without replacement from qanqaqpwfqqpnanpnn?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v - 5*x + 733, 3*v = -x + 725. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-8) - 61\/(-2). Suppose -5*n = -784 - c. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 263?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -15*u + 54. Which is the third smallest value? (a) -0.5 (b) -1\/7 (c) -0.3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7636327 divided by 2?\nAnswer: -7636327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrmj when four letters picked without replacement from {j: 1, p: 2, b: 2, r: 4, m: 2, v: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2230 (base 10) to base 11\nAnswer: -1748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/7*-9 - -1. Suppose 4*u + 10 = 2*u. What is the nearest to n in u, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2)\/5)*136\/340\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + r**2 + 2*r + 1. What is the smallest common multiple of f(-1) and (-15)\/(9 + -4) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.79 + 9.79. Sort 12, -0.5, -2\/15, f in descending order.\nAnswer: 12, f, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 50.29692 milligrams?\nAnswer: 0.00000005029692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 - 576 = -393*m. Solve -7 = q - m*l, 10*q + 5 = 5*q + 5*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -3*i + 5*k, 3*k = 4*i - 232 - 78. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*2\/(-8) - 1. Let o be 2\/d + (-11544)\/(-5781). Let c = 132939\/7708 - o. Find the common denominator of 27\/7 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.575036ug?\nAnswer: 8575.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, 1 u, and 1 l when four letters picked without replacement from {c: 1, a: 2, m: 1, q: 3, u: 5, l: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o, 0 = -3*k + 3*o - 3 + 18. Solve 12 = -5*s + s, -k*m + s + 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (2\/6)\/(5\/(-15)). Solve -n*x = -3 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 786 + -781. Suppose 9*u - 14*u + 25 = 3*g, 4*u = -i*g + 33. Factor -1\/3*y**u - 4\/3 - 5\/3*y.\nAnswer: -(y + 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, n: 7, c: 4, r: 3, e: 1}. What is prob of picking 3 r?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91, 108, 147, 214, 315, 456?\n\"Answer: v**3 + 5*v**2 - 5*v + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 71*w - 989. Determine g(19).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 8. Let w be (-2)\/(-3)*-6 - v. Let h be ((-3)\/(-9))\/(w\/(-102)). What is the highest common divisor of 34 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*n - 2*n = 30, -4*t - 3*n - 4 = 0. Let r = 4 - t. Let g be (-1)\/2*5*-2. Solve 0 = g*j - r*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -1\/2, 0.1, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/29 or -4051.7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:59 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let w = 3118 + -3113. Which is the nearest to 1? (a) 2 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290a00 (base 12) in base 14?\nAnswer: 13bc88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144230+-0.176143542\nAnswer: 144229.823856458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 134, 4, 5, -220 in ascending order.\nAnswer: -220, 0, 4, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 7. Let t(m) = -3*m + 3. Let l(a) = -a**3 + 5*a**2 + a + 2. Let s be l(5). Give s*t(w) + 3*n(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1585*y**3 + 16 + 7035*y**3 - y**2 + y**2 + 113*y - 1943*y**3 wrt y?\nAnswer: 40062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13315204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143323430 (base 5) to base 7.\nAnswer: 6316665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 23\/509 (b) -3 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 47 = 5*m, 2*m + 5 = -3. Let y(r) = 83*r + 30. Is y(a) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1438*i - 722*i - 720*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00527992 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 - -1.5. Let y = w - -6.6. Sort 0.4, y, 9.\nAnswer: 0.4, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4191 - -4321. What is the remainder when 267 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 15. Let m be f(-4). Put 5, m, 4, 1 in descending order.\nAnswer: 5, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15b13c (base 13) to base 7\nAnswer: -4401633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241.53237 months to years.\nAnswer: 20.1276975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/180 + 4*d**3\/3 + 5. Let g(z) be the third derivative of m(z). Let b(v) = -2*v**2. Give g(b(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1137351549*v**5 - 1143048595*v wrt v.\nAnswer: 22747030980*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 847701 divided by -1.\nAnswer: -847701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 1854*i + 138591.\nAnswer: 3*(i + 87)*(i + 531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -528*r + 110 - 146*r - 175 - 607*r + 560 wrt r?\nAnswer: -1281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18073?\nAnswer: 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, v = -4*v + 4*l + 5. Let z be v*-192*4\/(-6). Let i = z + -1. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*8383\nAnswer: 2011.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 + w - 12. Calculate p(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2747244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -17.5. Let c = -798844 - -611115884\/765. Let j = c - 6\/85. What is the third biggest value in r, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 + 2*d + 9. Let x be z(4). List the prime factors of 1\/(-2) - x\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764020 divided by -191005?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1917*s**2 + 11*s - 733?\nAnswer: -3834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let l = 8.7 + -9. Which is the third biggest value? (a) l (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 4. Let w be f(4). Which is bigger: w or -8\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40445550 (base 6) to base 12\nAnswer: -4798b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:30 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20310 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*h + 1 + 264*h + 281*h.\nAnswer: -22*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486 and 232662?\nAnswer: 18845622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*a - 2*u, 5*a = 3*u - 8*u. Suppose -y - 6 = 4*f, -3*y = 2*y - a*f - 58. Let q = y - 1. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 + 3*q**4 + 2704*q**3 - 62100*q**2 + 151200*q + 216000 = 0. What is q?\nAnswer: -60, -1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - 16\/3. Let b be (-38)\/6 - 4\/6. Do d and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 0 (c) -3\/31 (d) 2\/11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 8 + -17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -320*t - 2227. Let u be p(-7). Solve -49 + u = -6*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 174*g + 537. Let r be y(-3). Solve l - 6*w - 3 = -11*w, -5*w = -5*l + r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -13\/2, -3, 1190?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38614792.\nAnswer: 2, 23, 59, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*p - 4, 3*f + 160 = 5*p. Let n = f + 19. Let z = n + 116. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -1)\/((-325)\/(-78))*(-26 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/3 - 10*q**2 + 16*q + 160. Does 4 divide p(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 1506, 2252, 2994?\nAnswer: 3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b0ca (base 15) to base 13\nAnswer: 13ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 43*w**2 + w. Let g be z(0). Let l = -2576437576257\/31612 + 326007535\/4. Let a = l - -2\/1129. Is a smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 + 5 = 0. Suppose r - 2*x = 5, -4*r + t*x = -9*r + 25. Suppose 0 = 2*f - r + 3, -3*n = -2*f - 13. Solve 39 - 14 = n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3)\/(g*g**(1\/3)*g)*((g**2*g)\/g)\/g*g**(-1\/3)*g)\/(g*g**(-2\/3)*(g\/(g*g\/g**(2\/7))*g)\/g)**(-11) assuming g is positive.\nAnswer: g**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45191 is divided by 1108?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -ef0df?\nAnswer: ef0ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/435 and -10\/11919.\nAnswer: 59595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*b + 264*b + 542 + 2887 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 6. Let m be q(0). Let o = m - -1. Let a be (3\/9)\/(o\/(-30)). Put a, 0.3, 0.1 in increasing order.\nAnswer: 0.1, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d - 1. Let m(a) = -194*a**2 - 11*a + 18. Let n(x) = 4*g(x) - m(x). Is n(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -229\/1807470 and -173\/13857270.\nAnswer: 41571810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 8. Let l = -101 - -108. Let z(f) = 2 - f - 1 - l - 1. Give 5*t(w) + 6*z(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2828 - 2?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:32 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1253 + 1256. What is the biggest value in 2\/7, u, -3, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -121, -136, -169, -226, -313, -436?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -310 - 15?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 590, 1180, 1772, 2366, 2962?\n\"Answer: g**2 + 587*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -111, -170, -229?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 - 2. Let b(r) = 13*r. What is f(b(i))?\nAnswer: -169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ad + -22?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -512504 (base 6) in base 2?\nAnswer: -1001111101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4767 - 4769. Which is the closest to -3? (a) -0.2 (b) p (c) -48 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -y, -4*y + 0*y + 5*d - 4 = 0. What is the tens digit of (-15 - -753) + y\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 524, 1803, 4266, 8285, 14232, 22479, 33398?\nAnswer: 47361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -356\/3. Let j = -2607 - -13034\/5. What is the second biggest value in 3, 0.06, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432)*2 - sqrt(432) - sqrt(432) - -6*2*sqrt(432) - ((sqrt(432) - 2*(0 + sqrt(432) + sqrt(432))) + -3))**2.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02058421434 rounded to five dps?\nAnswer: -0.02058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.77 + 0.23. What is the closest to -1 in u, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*2*-6)\/(4*sqrt(20)\/sqrt(2)*2).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202046 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 467, 640, 881, 1190, 1567?\nAnswer: 2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 25*c - 189. Let n = -8 + 16. Suppose -7 = -5*r + n. Put c, 8, r in ascending order.\nAnswer: r, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243504.03 months in centuries?\nAnswer: 202.920025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -83907.\nAnswer: -1\/27969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 183 + 58 = 43 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbbb when four letters picked without replacement from {b: 3, x: 7, g: 3, d: 2}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 396995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996240 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12004 or -12005?\nAnswer: -12005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 9*t**2 - 44*t - 394. What is z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55286 divided by 3949\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w**2 - 7*w - 1. Let t(o) be the third derivative of -o**5\/60 - o**4\/24 - o**2 - 19. Give 2*q(p) - 14*t(p).\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**1\/t)))**(-40)*t**(-3\/10)\/((t**(1\/2)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 41*k**2 - 2*k - 2. Let m be l(-8). Is (-1)\/4 + m\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-57)*6)\/((-3)\/(1*-6))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*174.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 143?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -21*t - 9 - 47 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = p - 262, 3*y - 768 = 3*p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 32*h - 16*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**2 - 37*y**2 - 6*y**2 + 18*y**2.\nAnswer: -67*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 206. Let d = 107 - x. Solve -5*h - 16 = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -66.66. Let x = p - 0.04. What is the biggest value in -0.02, x, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242 - 244. Suppose -56 = -6*f - f. Let u be (1\/(-4))\/(9\/f). Sort u, 0, a.\nAnswer: a, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let p be (-2)\/(-6) + 13\/(-3). Let f = 8 + p. Sort n, 2, f in decreasing order.\nAnswer: f, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 5280?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let k(q) = 7*q - 3. Determine -3*k(d) + 24*t(d).\nAnswer: 3*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**2 - 1)*(68 + 28*l**2 - 68)*(-4*l + 2*l + 0*l).\nAnswer: -56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose 0 = c - 2*c - 4*a - 1, 0 = v*a + 4. Suppose 0 = 2*h - 11 + c. Solve m = -m - h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 16. Let c be p(14). Calculate the remainder when (57*(-3 + c))\/(-1) is divided by (-5)\/1*-6*4\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.51. Let f be 5*(-12)\/300*(-20)\/26. What is the nearest to 1 in 2\/5, o, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 - 90 - 63 - 170 - 7*r + 9*r to the form h*r + y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b**2 - 1288*b - 33544. Determine m(129).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4917 - 5.4917. Which is the second smallest value? (a) -103 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 6. Let h(l) = l**3 + 7*l**2 + 7*l + 6. Let q be h(-6). Calculate p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*648\/(-16)*20*(-13)\/(-156)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4*u - 2*u + 3*u) + (0*u + u + u)*(2 - 1 - 3) - 20572*u + 4 + 20485*u + 3.\nAnswer: -94*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - n + 4. Let s(g) = g**2 + 7*g + 3. Let f be s(-7). Suppose 4*d - f = c + 2*c, -5*c = -4*d - 3. Is y(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/8*(-502)\/(-3). Let n(f) = -138*f + 32. Let l be n(8). Let g = x - l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279097884*n**5 + n**2 + 39108440 wrt n.\nAnswer: 16745873040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - 18.5. Let t = -16 - h. Let y = -5.5 - 1.5. Sort -4\/5, y, t.\nAnswer: y, -4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from igcss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/693 and 155\/504504.\nAnswer: 504504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/96 and 83\/4819392?\nAnswer: 4819392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -27.7. Let z = -0.107 - -25.607. Let t = z - p. Which is the nearest to -0.1? (a) 2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6443 + 6437. Let d(b) = -b**2 - b + 40. Calculate d(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 3. Suppose 68*u - 75*u + 28 = 0. Determine v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129234 divided by 3\nAnswer: -43078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 74406*t**2 + 42372960*t - 5965142400 = 0. Calculate t.\nAnswer: -25362, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 76*b - 2524. Suppose -18 = -5*k + 52. Suppose 10 = 4*f - k. What is the smallest common multiple of f and d(35)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-7))\/((-15)\/10*-1). Factor d*u**2 + 2\/7 + 4\/7*u.\nAnswer: 2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177\/10 - -38\/5. What is the common denominator of o and -32\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -54*f. Let b(p) = -155*p**2. Give j(b(k)).\nAnswer: 8370*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2404213 (base 5) to base 2\nAnswer: 1010110100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + z**3 - z**4 - 1 + 1 + 2*z - z**4 as j*z**3 + s*z + w*z**4 + h + t*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30594 - 213309\/7. Let l = i + -121. Sort 1\/4, 0.3, l, 5 in decreasing order.\nAnswer: 5, 0.3, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.5*-2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g - 20*g + 7*g - 4)*(2*g + 2*g - 3*g)*(-3 + 5 - 3) to the form v + h*g**2 + j*g and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77540?\nAnswer: 2, 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 452 = -386. Which is the fourth smallest value? (a) q (b) -7.5 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (11 - 14) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12113 (base 4) to base 12.\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 1. Let p = 7 - 6. What is the remainder when n(0) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 - 974\/(-8). Suppose 40 - k = -2*d. Let i = d - 204\/5. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*b*d*r - a*b*r**2 - 2*a*d*r**2 + 5*a + b*d*r**2 - b*r - 97*d*r**2 - 3*d wrt r?\nAnswer: -2*a*b - 4*a*d + 2*b*d - 194*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -152*l**2 - 44*l**2 - 30*l - 7 - 7*l - 2. Let w(i) = -49*i**2 - 9*i - 2. Let c(a) = 2*d(a) - 9*w(a). Find the second derivative of c(j) wrt j.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 2. Let s be a(0). Let h = s - -19. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 1\/6 (b) -0.4 (c) 0.2 (d) 0.19 (e) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 103*b + 27. Let o be s(-26). Let w(n) = 22*n - 3*n - n**2 - o - 9*n - 14. What is w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -174*n + 87*n + 86*n. Let p(d) be the first derivative of -5*d**4\/24 - 3*d**2 + 9. Let z(o) be the second derivative of p(o). What is z(q(b))?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10986439?\nAnswer: 107, 102677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**3 + 134*g**2 - 19*g - 4. Determine f(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, -2, -4 in increasing order.\nAnswer: -4, -2, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/19384889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 29*b**2 + 359*b - 110. Is t(-51) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 23*p**2 - 17*p + 22. Let v be x(9). Let s = 6843\/4 - v. Let z = -21 - s. What is the nearest to -1 in 0, z, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 8*v**2 + v + 10. Let a be o(-8). What is the first derivative of 3 - 3*f**a - 7*f**2 - f**2 + 6 wrt f?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/27)\/(167\/1503).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = c + 3890. Let r = 10066 + c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = g - 44. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177+-1533001495219\nAnswer: -1533001495396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 48533*n**2\/5 + 117767751*n - 588887289\/5.\nAnswer: (n - 1)*(n + 24267)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*x + 230 = 228, 0 = 14*a - 3*x + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 99*h**2 - 3*h + 10. Let w(r) = -r**2 + r - 2. Calculate -a(l) - 5*w(l).\nAnswer: 2*l**3 + 104*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -0. Let r be 1\/(0 - 15\/(-5)). Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4317.7*-1576.\nAnswer: 6804695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477444692 to the nearest integer?\nAnswer: 21851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdxxdngpxxxjgpgxpn. What is prob of picking 1 j, 1 g, and 1 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32273\/10 + -3238. Calculate the common denominator of k and -35\/606.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 9011464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 62 = -2*r. Suppose -j - 5*l + 25 = 0, l = j + r*j - 47. What is the least common multiple of 14 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-3) + 15 - 2. Suppose 17*d - 5*q = 19*d - 855, -g = 2*q. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 3*x**2)*(-315*x - 5*x + 58*x).\nAnswer: 262*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4581\/98 less than or equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 7:29 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 2*u - 3. Let w(n) = -2*n**2 - n + 2. Let r be w(-2). Let d be t(r). Is 2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7262 is divided by 744?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918929270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5, 8 in descending order.\nAnswer: 8, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2160\/75)\/(-36))\/(12\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 9 = 17*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 - 74253*k - 222755. What is a(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29)\/(-87))\/(1\/(-9)). Which is smaller: u or 2\/73?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -111. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 11*f + 13. Let x be d(9). Let t = 39 + -41. What is the smallest value in 5, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let b(n) = -n**2 - n. Let z(o) = 2*b(o) + 2*g(o). Let q(s) be the first derivative of 7*s**3 + s**2\/2 + 231. Determine z(q(c)).\nAnswer: -882*c**4 - 84*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.9 + 5.9. Let z = 26 + f. What is the second smallest value in -0.7, 4, z?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3314 or 3152?\nAnswer: 3152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/6 + r**3\/2 - 2*r. Let m be z(-2). Suppose m*x - 12 = -2*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*p + 36 = 0. Let k be 72\/30*40\/p. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 15*n - 51. Let x be g(6). Let a = 494 + x. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 77*m**3 + 5. Let n(u) = -654*u**3 - 42. Calculate 42*j(y) + 5*n(y).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let p(a) = -209704*a + 11. Calculate f(p(s)).\nAnswer: 209704*s - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -630 - -647. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 81. Let c(d) = -9*d**3 + 4*d**2 + 5*d. Let x(z) = -22*z**3 + 10*z**2 + 12*z. Calculate r*x(i) + 12*c(i).\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*s + 227*s - 720 = 0. Suppose 0 = -l - 0*l - 4*q + 60, -q - s = -2*l. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 51 = 125. Suppose 2*v = 8, -2*f + 5*v = -4 + r. Put -78, f, -4 in descending order.\nAnswer: f, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217337 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -165149728 times -0.4\nAnswer: 66059891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3 - 12 + 35*x.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-2 - (-2 - 151)) + 121 + -196 + 70?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let o = 103.97 - 103.67. What is the smallest value in a, -4, 12, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 35*d + 2*d**2 - 1790 + 4*d**2 + 1790 + 3*d**2.\nAnswer: 2*d**2 + 35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 172210079*b. Let r(s) = 2*s**2. Determine h(r(x)).\nAnswer: 344420158*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -1\/7, -1\/2, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -344123141 (base 5) to base 4\nAnswer: -11322310313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2830 + -2830. Solve -7*a + d = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26bb1 (base 14) to base 13\nAnswer: -34695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92ac (base 13) in base 4?\nAnswer: -10330131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 4*l + 3. Let h be 2 - (-16)\/(-8 - -4). Let u be r(h). Factor 1 - 4*k**2 - 9*k + 5*k + k**3 + 3 + u*k**3.\nAnswer: 4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2326 + 2557 = 33*s. Let l(i) be the first derivative of -i**2 + 1\/9*i**3 + 0*i - s. Suppose l(j) = 0. Calculate j.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 2*c + (-c + c - c)*(-35 - 39 + 26))*(3*c**3 + 3*c**3 - 5*c**3).\nAnswer: 46*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/560*(-64)\/(-12)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.78 - 0.7. Let f = q - -1.92. Let p = 4\/43 - 59\/172. Is p at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4341 - 4345.95. What is g rounded to one decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 + 5*j - 4. Let k be z(-7). Find the first derivative of -7 + p + k*p + 3 wrt p.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 - 3*f - 6. Let u = -28 + 23. Calculate the smallest common multiple of p(u) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 + (-30)\/(-18). Suppose -103*j = -54 - 152. Find g such that -m*g**j + 8*g - 24 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let y(g) = 14*g - 1. Give y(u) - 3*z(u).\nAnswer: 14*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 36 = o. Solve 5*a = 2*a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + c + 186 = -0*r, r = -3*c - 103. Let d be 26\/r - 40\/(-42). Factor 1\/3*t**4 + d*t**3 + 0*t**2 - 1\/3 - 2\/3*t.\nAnswer: (t - 1)*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5290234209 to two decimal places.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.2. Let h = 1.4602 - 0.4602. Which is the nearest to 2? (a) h (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26645541 to the nearest integer?\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 5 + sqrt(637) + 0 + (-2*sqrt(637) + -3 - (sqrt(637) + 1)*5) + 0)**2.\nAnswer: 84*sqrt(13) + 22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -31*b + 88*b. Solve 18*t - 38 + 164 = b for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u + 45*u = 5398164. What are the prime factors of u?\nAnswer: 3, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**3\/3 - 4*d**2 - 7*d - 1. Let a be 2 + (-8 - (3 + -2)). Give p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/538858 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 58. Let l = -37 + 38. Put b, 3, l in descending order.\nAnswer: 3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 109, -1467, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*w - 7500, -5834 = -5*l + 4*w + 3535. List the prime factors of l.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -312 + 312.765. Let c = 1 - y. What is c rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/16*2 - 569\/(-4). What is the second derivative of -53*i - q*i + 8*i**5 + 2*i**4 - 21*i**5 + 0*i**4 + 52*i wrt i?\nAnswer: -260*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18*a + 124800000 = 0. Round a to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.654 to two decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180445829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:02 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3270 = 5*r, -1140 = -2*r + 3*d + 178. Does 82 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 228. Which is the closest to -3? (a) -0.4 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Let z = 0.1 - s. Which is smaller: z or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/256)\/7*(-29 + 6811\/245).\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*z - z + 154, -12 = -3*j. Let b = -4 - -9. Solve 3*q - 2 = 2*d, -b*d - q - 1 + z = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.183, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 7) to base 15\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*o = 2, 2651*o = 2655*o - 16. Let l(d) = -3*d + 38. What is l(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -999\/7. Let q = 2.96 + 0.04. What is the third smallest value in 4, a, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*y + 26662 = 26728, 5*y + 135 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -26*r - 22. Let q be w(-4). Let v = q - 78. Solve 3*p - 2*g + 4*g = -v, -p + 7 = -g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5690, 22690, 51020, 90680, 141670, 203990?\n\"Answer: 5665*g**2 + 5*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p - 2. Let n be t(2). Suppose 0 = 3*l + o - 31 + n, 0 = -5*l + o + 25. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*a + 2*a - 14, i = 5*a - 3. Solve i*j - 6*j = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**3\/3 - 7*y**2\/2 + 3*y - 12. Let q(o) = 4*o**2 + 15*o - 7. Give -7*m(z) - 3*q(z).\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l + 9 + 69 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8550, -68314, -230540, -546468, -1067338, -1844390, -2928864, -4372000?\n\"Answer: -8540*w**3 + 9*w**2 - 11*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4553.2 + -4632.876. What is x rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -o + 71, 0*n + 72 = o + n. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578 divided by -11.\nAnswer: -578\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -8, 3 in descending order.\nAnswer: 3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -276019, -275601, -274909, -273943, -272703, -271189, -269401?\n\"Answer: 137*v**2 + 7*v - 276163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2. Let m(b) = 34*b**2 - 69539*b - 4. Calculate m(a(y)).\nAnswer: 306*y**4 + 208617*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22243 (base 5) to base 7.\nAnswer: -4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 130 = 4*h, 4*h - 220 = -4*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 16*c + 215 = 618, -1 - 49 = -3*f + 3*f - 2*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*2*1. Suppose 0 = -r*n + n + 274. Suppose 0 = -q - 4*q + 4*s + 148, 4*q - n = -3*s. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 185*j**2 + 14*j**3 - 183*j**2 + 45*j**3 - 2*j in the form a*j**2 + b + l*j**3 + g*j and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crks when four letters picked without replacement from qqkrrcsccqwkrrkrr?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 34*j**2 + 90*j + 140. What is the tens digit of w(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z + 5. Let r be a(7). Suppose -4*x - r*l + 15 = 0, l = 3 - 4. Suppose -5*b = 3*c - 80, x*c - 3*b = 46 + 42. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:59 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.030321 millennia?\nAnswer: 40.30321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2, 5690*c - 5688*c - 4*k + 11 = 27 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 1149*t**4 - 74*t**4 - 2*t**3)*(6 - 5 - 2).\nAnswer: 1223*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkossiox. Give prob of picking 1 x and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 + 1309.487?\nAnswer: 1113.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(500)*3 + 5*(sqrt(500) + (-3 + sqrt(500) - sqrt(500))) - (sqrt(500) + 2*sqrt(500) + -3 + 0 + -4*sqrt(500)))**2.\nAnswer: -121932 + 6480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -2, 18, 54, 112, 198, 318?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(1 - 1 + 2*s)*(343*s + 445*s - 1402*s).\nAnswer: -1228*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let i(d) = -1058*d. Determine i(y(s)).\nAnswer: -1058*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 2. Suppose -x + 2*m = 4 + y, 0 = 4*m. What are the prime factors of (-5)\/((-15)\/x)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15553 - -15555. Factor -1\/3*f**3 + 0*f**g + 1\/3*f + 0.\nAnswer: -f*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b - 13. Let j be o(4). Let z(p) = 5*p - 15. Let w be z(j). What is the hundreds digit of 3 - ((-4 - -5) + w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 2. Let u = -22 + 27. Suppose 4*c = -2*l + 4 - 0, 2*l + 14 = u*c. Let o(m) = -4 - c + 0 + 5. What is -d(q) - 2*o(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*((-12393)\/18144)\/(-51).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 49*d**2 - 73*d - 5. Is v(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -p. Let z(u) = 2*u - 3. Let j(y) be the third derivative of 0*y - 1\/3*y**3 + 2*y**2 + 0 + 1\/12*y**4. Determine p*j(t) - 4*z(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202011202 - 20221211?\nAnswer: -1000010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 5 + 5)*(-t + t - 2*t) - 3*t**3 - 5*t**3 + t**3 - 8*t + 6*t + 23*t**3 - 14*t**3 as h*t + v*t**2 + a + q*t**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8805 - 30.7?\nAnswer: -8835.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48050.07l in millilitres?\nAnswer: 48050070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and 67\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 16*v**2 + 24*v - 112. What is k(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 495 = -4*x, 5*x - 5*k = 630. Suppose 8*m - 5*m = x. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/23863 + 91657789\/143178. Let z = w + -624. What is the common denominator of (-157)\/63 + (-6)\/21 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - -0.28. What is the closest to -18 in 2, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = -9*a + 6*a, 5*j - 25 = -5*a. Solve 2*d - j = -4*l - 15, -5*d + 25 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 148\/7 (b) 5\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1.1111.\nAnswer: -0.7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Let y = 10 - 10. Let x(h) = -h**2 + h + 17. What is the remainder when x(y) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + -5 + (sqrt(128) + sqrt(128)*2*1 - (sqrt(128) + -5*(sqrt(128) + sqrt(128) + 0 - sqrt(128)))) + 5)*3)**2.\nAnswer: -1008*sqrt(2) + 56457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.53, -4868, 2\/27.\nAnswer: -4868, 2\/27, 10.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 45\/2 of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = -31*t + 4*o + 14, 0 = 5*t - 5*o - 25 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1)*-4 + 0 + sqrt(98) + 1 + 4 + ((1 + sqrt(98) + 1)*-6*6)**2.\nAnswer: 36267*sqrt(2) + 132201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:16 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-14)*x)\/x**(2\/7))\/(x**11\/(x*x**9*x)) assuming x is positive.\nAnswer: x**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.162 - -0.062. Are 1\/5 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 = -17. Let h = -1 + z. List the prime factors of (4\/(-6))\/((-2)\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.48 + 46.58. What is the third biggest value in -4, v, -1, 19\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -4*y, 0 = -y + 2*t - 15 + 5. Let z be (17\/36)\/1 - (-79)\/(-316). Let v = z - 25\/72. What is the biggest value in v, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -766791 from 7.\nAnswer: 766798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 8188*s\/9 + 8380418\/9.\nAnswer: 2*(s + 2047)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.1486 milligrams in micrograms?\nAnswer: 426148.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-9)*c*c)\/c**5*((c*c\/c**(-10))\/c)\/c**(-19) assuming c is positive.\nAnswer: c**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -187 + 189 - 269*u + 141*u. Let n(z) = -z**2. Calculate q(n(g)).\nAnswer: 128*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11937*f - 3*f**2 + 11929*f - 6*f**3 - 35805*f + 11933*f + 1 as u*f**3 + d*f**2 + l + p*f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2)*m**(-9)*(m\/m**(-2\/5))**(-14\/3) assuming m is positive.\nAnswer: m**(-188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t + 269*t + 441*t - 261*t.\nAnswer: 603*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 1. Let w be t(-4). Let b = w - 4. Suppose 9 = b*d - 12. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45166802458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbq when three letters picked without replacement from llblbqllllqlbll.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94697 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0151 - 3.9849. What is the second smallest value in -0.02, n, -1\/293?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1753, 12, 4.\nAnswer: -1753, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -6.7. Let i = -2.9 - d. Round i to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44.074 and 2918.9.\nAnswer: 2874.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28424.63 years in millennia?\nAnswer: 28.42463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:10 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 482.6 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/3)\/(i\/(i*i*i**(2\/7)\/i)) assuming i is positive.\nAnswer: i**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - 3. Let v = f + 216. List the prime factors of v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 864329388541?\nAnswer: 864329388540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by -3?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 431 - 431.3. What is the nearest to 3\/4 in k, 7, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 70*m**2 - 295*m - 49. Let z be i(74). Solve -2*v = c + 14, c + z = -4*v + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/(-15)*2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-5)\/sqrt(6)*-4 - (-5 + ((sqrt(2) - (sqrt(2) + -2))*3 + sqrt(8)\/(sqrt(12)\/sqrt(3)))**2).\nAnswer: -33 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5693901 is divided by 308?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)**2 - (-4*sqrt(2)*-5 + sqrt(2)) - ((sqrt(1728) + -2*sqrt(1728) + sqrt(1728))\/sqrt(6) + 3).\nAnswer: -37*sqrt(2) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15467*y + 634223. Calculate a(-41).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + l - 5, -3*s + 19 = -s + 5*l. Suppose 150 = s*a - 3*q, 4*q = -5*a + 225 + 150. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8\/17)\/(h*h**(-2\/17)) assuming h is positive.\nAnswer: h**(-23\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/40 - 5*v**4\/12 - v**3\/3 + 10*v**2 + 432*v + 2. Suppose o(r) = 0. What is r?\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20400 + -24121?\nAnswer: -44521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9036 is divided by 1601?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*z - 2*s - 16, 4*s = 0. Suppose 5*y - 4*h = -25, -3*h - 2*h = z*y - 21. Let w be 2\/y + (1 - -1). Sort -2\/9, w, 5 in descending order.\nAnswer: 5, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*n**3 - 233*n**2 wrt n?\nAnswer: 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.967423 - -0.032577. Let q = 0.12 - 9.12. Let z = -0.2 + 0. Which is the closest to j? (a) q (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -69. Suppose -38 - s = -7*d. Suppose 67 = d*u - 2824. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58863317?\nAnswer: 47, 1252411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 108\/207*(-26841)\/(-778)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -299\/5. Which is the third smallest value? (a) -2 (b) s (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1402 - 31.\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/18 and -53\/58869.\nAnswer: 117738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(r - r + 2*r**2) + r**3 + 0*r**2 + 0*r**2 + (-2*r + r - 2*r)*(-3*r + 503*r**2 + 6600 - 6601 + 5*r).\nAnswer: -1510*r**3 - 6*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-86) - 4160\/6708\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/414 - (4 + 2445\/(-12))*12\/(-27)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/2, 409, 7\/5, -23, 0?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.14?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 - j**2)*(3*j + 0*j**2 + 7 + j**2 - 5*j).\nAnswer: -2*j**4 + 4*j**3 - 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7739 - -8135. What is the remainder when h is divided by 208?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:27 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u*u*u)**(1\/9)\/((u*u\/u**4*u)\/(u\/u**(-6)*u)) assuming u is positive.\nAnswer: u**(422\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 23*y**2 + 19*y + 41. Give i(24).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*x**2 + 6 + 4 - 22*x**2)*(-3*x - 3*x + 3*x) - x**3 + 2 - 2 as f*x**2 + q*x**3 + g*x + k and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 14*j = 24, -272*t + 550*t + j + 24 = 274*t - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*t - 1656, 5*t - 2*l - 3*l = 1655. Let q = t - 328. Solve 4 = -2*s - 2*n, -q*s + 8*n = 3*n + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -163*y - 3. Let i(h) = -h + 1. Let m(n) = 4*i(n) + k(n). Let u be m(-2). Let r be (5 + 1)*u*1. What is r rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -288044 = -288018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1114?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146328 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*d - 18 - 33 = 0, 3*d + 6 = 0. Suppose -183 = -4*t - f. Let b = t + -24. What is the remainder when 73 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gig when three letters picked without replacement from gjirgjjjjojgjijgjj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 4, y: 15}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 12)*(364\/16 + -23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 949477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -141*g - 2549. Let i be q(-21). Calculate the highest common divisor of i and 1854.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -160, 1, -1, 1105960.\nAnswer: -160, -1, 0, 1, 1105960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 f when four letters picked without replacement from faooffxfoffxfoooo.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2\/2 + 3*z + 2. Let d be b(0). Let n = d - 1. Is 2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 146*h + 3. Let f(m) = 820*m**2. What is b(f(k))?\nAnswer: 119720*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 + (-11 - -1). Suppose 2*l + 29 = 3*a, 14*l - 15*l + 44 = 3*a. Sort -3, a, p in increasing order.\nAnswer: p, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/3*k - 8 - 4\/3*k**2 = 0 for k.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 631, 946, 1261?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1888981378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187233515 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -11 (c) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4533.1 and 3.\nAnswer: -4530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 12606 = -5*x - 12616, 2*d = -4*x - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*j + 19 - 15 - 9*j**2 to the form t*j**2 + x*j + l and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-116)\/376) - 980\/14210?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012200 + 2?\nAnswer: 22012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(65))\/sqrt(5))**2 + -3 + sqrt(13) + sqrt(13) + -2 + sqrt(13).\nAnswer: 8 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57772 != 115545\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428118723 - 428118723 + 1269*a**2.\nAnswer: 1269*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 - (-21 - (-9 - 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -913 - -607. Let i = p - -447. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 6*b**3 + 3*b**3)*(42 + 17 + 32) + 3*b**3 - 2*b**3 + 0*b**3.\nAnswer: -90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -17.91, 2, -5 in ascending order.\nAnswer: -19, -17.91, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v - 3*v - 2*v)*(0 + 2 + 0) + (11 - 30 - 91)*(-2*v - v - v) in the form r*v + a and give r.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20656*n**2 + 804 - 20659*n**2 + 41323*n**2 - 268 - 263 - 273.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37252*n**2\/5 + 5103528*n\/5 - 548\/5.\nAnswer: -4*(n - 137)*(9313*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 75*z - 1400. Let y be l(-35). Suppose -w - 13 = 5*h, -5*h - 3*w - 7 = -4*w. Sort -5, 3, y, h in descending order.\nAnswer: 3, y, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 + 40 = 0. Which is the third smallest value? (a) 0.5 (b) t (c) 1\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5318 + -4)\/((-13752)\/22). Let z = 2\/1719 + j. What is the common denominator of z and -43\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -4) + -7 + 140\/4. Solve 1 = 6*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1198 + 1203. Let l(r) be the third derivative of 0*r**v + 0*r - 1\/6*r**3 + 6*r**2 - 1\/40*r**6 + 0 + 0*r**4. Differentiate l(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-108)\/(-6))*-30*36\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*t + 58*t - 5129 + 904 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147989 is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*m - 19, 34 = -7*f + 11*f - 2*m. Solve -16 + 10 = f*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 15*r + 251. Let z be (-4)\/(-14) + 355\/7. Let w = r + z. Solve 9*v + w = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*s*v**6 + 2*s*v**5 + 3*s*v**2 - 50*v**2 wrt v?\nAnswer: 32400*s*v**3 + 120*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 - 2*n**2 + n. Let s(o) = -o + 14. Let f be 48\/(-18)*21\/(-4). Let t be s(f). Suppose 6*c + 0*c - 6 = t. What is q(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:20 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 68. Let o be d(-10). What are the prime factors of 10894\/18 - 4\/o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:33 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 37*b = 43*b - 508 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -466 - -496. Solve -31*o - 2*w + 5 = -q*o, -3*o + 5*w + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k**3 + 53*k**2 + 14*k - 104. What is the hundreds digit of j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.38 + 1.38. Let v = 1.5 + q. Let p = -1.5 + v. Which is smaller: p or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 281176.867 to the nearest one thousand.\nAnswer: 281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 612*g - 612*g - 332*g**2 - 144*g**2 as r + b*g**2 + x*g and give b.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*d + 10*d**3 - 70*d)*(1 - 1 + d)*(-1 + 0 + 3).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**7\/840 + p**6\/120 + p**3\/2 + 3*p. Let g(c) be the second derivative of q(c). Find the third derivative of g(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3072617955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1*-10)\/(-1). Let n(c) = 12*c - 7*c**2 + 10 - 44*c**3 + 22*c**3 + 3 + 21*c**3. Is n(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534585270 by 89097545.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/2*(-2)\/(-6). Let h(b) = 2 - q + 7*b - 2. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29288 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75\/13, 1\/4, -5, -31\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 + 1 = 0. Suppose 313*r - 904 = 661. Which is the smallest value? (a) 7 (b) n (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 956, 944, 926, 902, 872, 836, 794?\n\"Answer: -3*z**2 - 3*z + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123690 is divided by 15297.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 6, 2*g - 4*q - 26 = -0*g. Let w(s) = 4*s**3 - 4*s**2 + s + 5. Let i be w(4). Suppose 6*h = g*h - i. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7\/(i*i**(-4\/7)*i))**4)**(-16) assuming i is positive.\nAnswer: i**(-2496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllxlllllllll. Give prob of picking 3 l.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 - 159*k + 2. Let w(b) = -b**2 + 24. Calculate n(w(y)).\nAnswer: -7*y**4 + 495*y**2 - 7846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259329 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*u + 1182 + 582. Suppose 3*k = 3*j + 4*k - 96, -4*k = 3*j - 87. Let q = u - j. What is the highest common factor of 176 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152)*3)\/(sqrt(8) + (3*sqrt(72))\/sqrt(9) + sqrt(8)).\nAnswer: 9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.758+216201\nAnswer: 216202.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18650*c**2*d**2 + 60047*c**2 - 2000*c*d**5 + 135*c*d - 5*c wrt d?\nAnswer: 37300*c**2 - 40000*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjjhhjx. Give prob of picking 1 j and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 32\/9, -1, 0.3, 0.4, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 280, 412, 562, 736?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03346519 rounded to four dps?\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 4*x + 143775*x**2 - 143509*x**2 as s + o*x**2 + k*x and give o.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + b - 49, 4*b = 2*i - 23 - 41. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 2537.\nAnswer: -18\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 4512?\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/270 and 5\/3?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/7 (c) -48 (d) 3\/16 (e) -33\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 + 55*w**2 + 118)*(-4 + 0 + 2)*(w - w - w - 3).\nAnswer: 110*w**3 + 330*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*d**2 + 47*d**2 + 45*d**2 + 3*d**3.\nAnswer: 3*d**3 - 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -2*sqrt(70))*2)\/((sqrt(20) - (sqrt(20) + -1*sqrt(20)))\/sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 14 + 12*j + 29 - 2*j**2. Let y be f(13). Suppose -9*p - y*p + 3036 = 0. Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5680\/35500 - (7098\/(-3450) - -2)\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - 8*k + 10. Let g be y(-8). Let s = g - -333. What are the prime factors of s?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24187332 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (21 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*j - 15, -3 = 5*j + 7. Is 21 a factor of (-4)\/(-8)*211 + t\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*w - 6, -15*w + 3*s = -12*w - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(4\/(13 + -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -2.3. Sort -3\/2, -4, a in decreasing order.\nAnswer: a, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4 - 1249484*j**3 - 195197508714*j**2 - 14439484419272*j - 267098820448328 = 0.\nAnswer: -312334, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44072*a**2 + 343*a - 30 wrt a?\nAnswer: 88144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*f + 1263 + 84 = 192 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3) + (-4 - -5). Suppose 30 = 5*n + 5*d, 3*d = -k*n + d + 16. Suppose n*u + 10 = 4*u. Solve u*h + 2*g - 6 - 5 = 0, g = -h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2366 or 4374?\nAnswer: 2366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 20 = 0. Suppose t = p + 1. Suppose 0*b = -b + p. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818900 divided by 10\nAnswer: 81890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6212 + -6214. Let p = 0 - -0.02. Which is the nearest to -0.2? (a) -1 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6, -0.03, 6\/17, 49.9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 3*s**3 + 13*s**3 + 6 - 9*s**3 as l*s + d*s**3 + i + w*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1162\/9 or -128?\nAnswer: -1162\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 0*t + 57*t**2 + 50*t**3 - 28*t**3 + 8 - 25*t**3 + 2*t to the form u*t**3 + z*t + b*t**2 + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1008) - (sqrt(1008) + 2*sqrt(1008)) - 3*(sqrt(7) - (-1 + sqrt(7)))) + -1)**2.\nAnswer: 672*sqrt(7) + 16177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 341*h. Let v(w) = -4*w**2. Calculate v(y(l)).\nAnswer: -465124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - m. Let k be 3\/4*(88 - 8). Suppose 2*p - 54 = -4*w, -2*w - w = -5*p - k. Let r = 16 - w. Determine l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:51 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 + 712 = -9*x. Let d be (80\/24)\/(1 - (-172)\/x). Calculate the greatest common factor of d and 700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 56 = 9*j. Suppose -u + 35 = j*u. Suppose 4*w - 20 = -h, -w - 4 - 10 = u*h. What is the remainder when 87 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36310.9 or -3?\nAnswer: -36310.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p + 1. Suppose -q + 6 = -k, -3 = 2*q - 5*k - 9. Solve -f - 2*n = 2, -4*f = n - p*n + q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -2\/51, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/(-18) - ((-357)\/102)\/(1\/(-2))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 155342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*1 + 2743\/(-23210).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1089228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 5*l - 2*x - 15, 2*l - 6 = -x. Solve -2*s = -l*j - 7*s, 0 = -5*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 104*i - 1 + 24*i**4 - 98*i + 2*i**2 to the form t*i**4 + g + n*i + w*i**3 + r*i**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*w + 48, 0 = 2*w + x - 6 - 26. Let i = w - 17. Let o be (4 + -3)*(0 - i). Solve -6 = -o*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 394*i - 406*i + 24. Solve 4\/11*g - 2\/11*g**i - 2\/11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12))**(-2) assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456))\/sqrt(12).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose v*j = -0*j + 42. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -6. Let c be (-36)\/(-10) + (-4)\/s. Suppose 0 = 3*y + 3*w + 3 - 24, -c*y + 5*w + 1 = 0. What is the remainder when 14 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6590539*y**4 - 1946271*y**2.\nAnswer: -158172936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -59\/3. Let i = 0.4 + -3.4. Let z = 3.4 + i. Which is the smallest value? (a) 3 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/5 + 46134*b\/5 + 3332016\/5 = 0.\nAnswer: -72, 23139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - h - 1, 0*h = 2*h - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -638 + 636. Is -4 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*u + 3*c, -2 = 3*u - 5*u + 3*c. Let v be 12\/(2*u\/(-12)). Is 13 a factor of v\/(-2) - (2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/27 - 32\/3. Let k = z + 15. Is 7 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-9)\/8)*(-525)\/28. Suppose 4*h = -z, -5*z - 2*h = -7*h - p. What is the hundreds digit of (122\/z + 2)\/(2\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 360\/(-150)*25\/(-30). What is the nearest to 0.4 in 1\/9, t, 4199?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384044, 384045, 384046?\nAnswer: 384047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -6, 0.4, -5 in decreasing order.\nAnswer: 4\/7, 0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 825617521213 + -825617697002.9589908. Let w = b + 175790. Let x = w + -0.041. What is x rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r**(1\/3))\/(r*r**(-5)*r\/(r\/(r\/(r\/(r**(1\/3)\/r*r))))) assuming r is positive.\nAnswer: r**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 3. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292600 rounded to the nearest 10000?\nAnswer: -3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17262632 to the power of 1\/2, to the nearest integer?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spzppppzppzzppzzp. Give prob of sequence zpz.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 2 q when four letters picked without replacement from eqqeqeeozevqx?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 93*l - 94*l - 4)*(-4*l - 2*l + 0*l)*(25 - 16 - 30).\nAnswer: -126*l**2 - 252*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9015 and 3005?\nAnswer: 9015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76.0152 - -0.0448. Let n = d + -76. Sort -2\/15, -3, n in decreasing order.\nAnswer: n, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -200, -346, -436, -464, -424, -310, -116, 164?\n\"Answer: m**3 + 22*m**2 - 219*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2085320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000039749044 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggwh. Give prob of picking 1 g and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 4*c - 3. Is 18 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m - 25 = 2*m + 43. Let w = -170516\/96645 - 2\/5685. Let n = w + 1007\/561. Is m > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142.507*0.082.\nAnswer: 11.685574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -84481?\nAnswer: -5\/84481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in -2.4, 1\/4, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1 - -3 - 330\/8. Are k and -35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 8*r - 4. Suppose -a + 21 = 3. Suppose 2*m = 5*m + a. Is z(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 1. Let w(x) = x**3 - 7*x**2 + 5*x - 4. Let i be w(5). Let g = v - i. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714303, -713773, -713243, -712713, -712183, -711653?\nAnswer: -711123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1 + 0*x + x + 0. Let w(u) = 2630*u - 18411. Let s be w(7). Let l(d) = d**3 - 3*d + 7. Calculate s*l(g) - 5*f(g).\nAnswer: -g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.8 + 8.8. Is -89 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 3750. Round w to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 2495*w**2 + 45*w + 22455.\nAnswer: -5*(w - 3)*(w + 3)*(w + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3645 + -2352. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64\/5 of a century?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + 3) - (15 + (-6 - -14) + 57).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from rit?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3.71?\nAnswer: -14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6953 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let u be 14\/35*5\/2. Let b = u + c. Solve b*n - n + 25 = -4*x, 4*n = 4*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -318*q**3 + 47*q**2 + 2*q + 4. Let y(h) = 317*h**3 - 36*h**2 - h - 4. What is -3*l(v) - 4*y(v)?\nAnswer: -314*v**3 + 3*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 43*y + 319. Let q be l(-6). Let b be 22\/(-5) - (-3)\/(-5). Put -4, b, 1, q in ascending order.\nAnswer: q, b, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 5*f + 2*f + 3*f - 4*f + (f + f - 4*f)*(4 + 3 - 5) + 3 - 3 - f to the form a + j*f and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17376, 34743, 52110?\n\"Answer: 17367*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:43 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a*a**(-1\/5)*a\/(a\/(a*a*a*(a**(-4\/9)*a)\/a*a))*a**(-1\/4)\/a)**(-33) assuming a is positive.\nAnswer: a**(-4169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 18*a - 38. Let f be o(-20). Suppose 0 = -f*r + 539 - 109. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 11*a = -118, -100*y + 2*a = -97*y + 230 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541 (base 15) in base 16?\nAnswer: 2c2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 - -235. Which is the nearest to -2\/9? (a) 4 (b) 2 (c) 0.9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -55, -128, -231?\n\"Answer: -15*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((20\/2)\/1)\/(-2). Let k = h + 7. Let m = 11 - 16. Which is the smallest value? (a) k (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65895473?\nAnswer: 7, 9413639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*b**2)*(-b - 2*b - b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 770.1227 milligrams?\nAnswer: 0.0007701227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 45 + 253 = 0. Suppose -160 = -3*m + i. Calculate the highest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22848, 45697, 68544, 91389?\nAnswer: 114232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 667525\/17, -3, 1, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29518 - 29714.41. Let g = -1.59 + t. Which is greater: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/((-66)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(35\/(-28) - 234\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775186317.\nAnswer: 3, 86131813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -890, -1408, -2018, -2750, -3634, -4700?\nAnswer: -5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10031314 - 1?\nAnswer: 10031313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 740*o - 4338. Let q(i) = 2*i. Determine v(q(g)).\nAnswer: -4*g**2 + 1480*g - 4338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 6. Let j be k(-5). Let f be (-91)\/j - (-4)\/6. Solve f = -2*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*f + 180722 = 473*f - 63502. What is the greatest common factor of 176 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h*h\/(((h\/(h*h**(1\/4)))\/h)\/h*h))\/h*h)\/h*(h*h**2)\/h*(h**4*h*h*h)\/(h\/(h*h**5)))\/(h**(1\/3)*h*h*h**(-6)*h*h)**10 assuming h is positive.\nAnswer: h**(407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 17. Let y be (-51 + j)\/(-2) + 0. Solve y = -m - 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 - 5 = 0. Let v = q - -18. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + o**2 + o - 3. Let z(t) = t**3 - 5*t + 5. Let c be z(2). Let k be u(c). Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0589 to 3 decimal places.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 21. Let k(f) = 2*f + 14. Determine -8*k(i) - 5*y(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r**2 + 4. Let u(d) = 5*d**2 - 2. Let j = 13 + -10. Suppose -3*v + 1 = j*p + 10, -2*p - 7 = v. Calculate p*f(z) - 9*u(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 1427\/10, -2, -6?\nAnswer: 1427\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -v + 25800004, 3*l = -4*v + 38700016. Round l to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27862724 - 13262724. Suppose a = 3*a - d. Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -25, 4*q + 107 = -2*b + 3. Let z = -36 - b. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -60.228254.\nAnswer: -58.228254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -2*x - 48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54801364111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2300 (base 4) to base 3\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/2 - 3055*a**4 - 4699984*a**3 - 102217376*a**2 - 443888256*a + 1334294784 = 0 for a.\nAnswer: -3044, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170327968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833 = -15*l + 477. Calculate the highest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 9*z**2 + 7*z - 6. Let r be w(-8). Let s be r + (1*-6)\/(-3). Let l be 4\/(-6)*1\/s. Is -1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -5*q - c, -2*q + 20 + 16 = c. Suppose 4*l = -2*a + 260, -q*a + 72 = l - 13*a. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*1\/(96\/180)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*v**3 + 31 wrt v.\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 17 - 11 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/d**0*d)\/d*(d\/(d*d**(-2\/13)))\/d*d)\/(d**0\/d**(-2\/31)))**(-1\/43) assuming d is positive.\nAnswer: d**(-1245\/17329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = b, 7*g - 25 = 2*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u - 3. Let o(l) = 39*l + 6. Calculate 2*o(q) + 5*w(q).\nAnswer: -17*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 743. Let g(b) = -6*b**2. Give u(g(h)).\nAnswer: -48*h**2 - 743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, a: 4}. What is prob of picking 1 b and 1 a?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-483) + 5*642\/(-630).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17103\/51856 + 1\/1852. What is the common denominator of y and -143\/864?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/15 + 99364*a**4\/15 - 1233056632*a**3\/15 - 27185304784*a**2\/15 + 41178239744*a\/5 - 42821785344\/5 = 0 for a.\nAnswer: -26, 2, 24852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3109766430?\nAnswer: 2, 3, 5, 181, 269, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.5. Let l = -323.0353 - -0.0353. Let j = 318 + l. Which is the nearest to -2\/7? (a) -0.1 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57981*w**3 + 113*w**2 + 6 wrt w?\nAnswer: 347886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919331263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 19*o - 22*o - 24, 5*m + 2*o = -60 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.98, 2, -0.5?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 101920 and 101922 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(3\/138*-20))\/(((-2301)\/(-390))\/(-59))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 + 216.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27992*i - 13997*i - 13991*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, j: 2, q: 7}. Give prob of sequence hjhq.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1567 (base 8) to base 14.\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 892, 7, -133 in ascending order.\nAnswer: -133, 7, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)*g)**(3\/32) assuming g is positive.\nAnswer: g**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/23, 65\/3, -2\/41.\nAnswer: -2\/41, -1\/23, 4, 65\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = 3*f + 70, -3*x + 2*f = 188. Let c = -66 - x. Let d = -14.5 + 14. What is the third biggest value in -2\/3, c, d, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196273 is divided by 129?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 1.6. What is l rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 9299.\nAnswer: 31\/9299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 849 = 3*y, -3*h + 1174 = -84*y + 88*y. What is the highest common factor of 1649 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13808 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 2) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1136540 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - bd?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/394304 and -93\/404?\nAnswer: 394304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from ocbccocobcocomcc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a. Let s be f(-5). Suppose q + 2 = 0, 0*g + 4*q = s*g + 32. Let x = g + 30. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(196)\/(sqrt(4) - (sqrt(4) + sqrt(12)\/sqrt(3)) - sqrt(4)))\/(sqrt(14)\/(sqrt(48)\/sqrt(6))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(2\/(-10)). Suppose -3*t + 11 = -4*b - 23, 4*t + 18 = -b. Let v be (-10)\/(-60) + b\/(-12). Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 4*p**4 + 0*p + (2*p**3 - p**3 + 0*p**3)*(0 + p + 0) + p**4 + 0*p**4 + p**4 + (5*p**2 + 3*p**2 + 2*p**2)*(5*p**2 - 3*p**2 - 4*p**2).\nAnswer: -21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2694*i - 34. Let o be r(-3). Suppose -6*f + o = 3206. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048364 to five dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -216556900 rounded to the nearest one million?\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341035 at least 2341035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 2 (c) -0.1 (d) -1109 (e) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/165 + 7*p**5\/22 - 13*p**4\/2 + 187*p**3\/3 - 242*p**2 - 174*p. Solve n(c) = 0 for c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338.1 or -24196?\nAnswer: -24196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 0 = -2*k + i. Sort -2, k, -5 in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555622 is divided by 77780.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -14. Suppose -b*r + 364 = -8*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (3\/1 - 5). What are the prime factors of t\/(-1) + (-180)\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from ffon.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 68385 = g. Is 97 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434382027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927275 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.89 - -24. Let d = 5.8 - 5.19. Let s = d - g. What is the third biggest value in s, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3112?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/15 (b) -2\/5 (c) 2\/5 (d) 0.19 (e) -1 (f) 39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*a - 1129*a - 5 = -5*k, -k - 3*a + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 736247669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3596*o**3 - 22*o**2 - 5*o - 1. Let s(g) = -10792*g**3 - 64*g**2 - 16*g - 3. Let u(b) = -3*s(b) + 8*z(b). What is the third derivative of u(i) wrt i?\nAnswer: 21648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/64)\/(2\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 1:03 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8*16\/10)\/(-3*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4240.7 + -4241. What is the closest to 1 in 113.4, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1917.948 + -1914. Let l = u - -0.052. Which is the fourth smallest value? (a) 1 (b) -8\/7 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q - 7. Calculate the remainder when 39 is divided by p(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.74 - -102. Let a = z - -22.64. Round a to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2. Let n(v) = 14*v - 3. Let u(x) = 99*x - 22. Let m(r) = 22*n(r) - 3*u(r). Give m(k(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/35 - (-4)\/(-10). Let p = -0.04 + 1.04. Which is the smallest value? (a) h (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120590415 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + u + 47247, -5*u = -h + 26606 - 10843. List the prime factors of h.\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54910 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 30\/(-5))*(-2)\/(-2). What is the smallest common multiple of 231\/14 + (-1)\/i and 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75909 minus -6505649?\nAnswer: 6429740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 1315*h**3 - 18*h**2 - 11*h + 14 wrt h?\nAnswer: 120*h**3 - 7890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2 - 2*n. Let r be p(2). Suppose 4*g + 243*l = 248*l + 235, 179 = 3*g - l. What is the highest common factor of g and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197121690 rounded to the nearest 100000?\nAnswer: 2197100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(5)*-2 - sqrt(5)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/2 + 81*r**4\/2 + 2279*r**3\/2 + 25247*r**2\/2 + 40020*r - 53824 = 0. Calculate r.\nAnswer: -29, -16, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -72. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*q + 20*q. Solve -4*z - 20 = -q, -5*t = 4*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1088)*2*2 - -2*-2*sqrt(1088)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*b - 154*b + 1080 = 262*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12415*v + p - 112 = 12409*v, -2*v = 4*p - 52 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 533572\/64545*15\/(-2)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3540896454.\nAnswer: 2, 3, 21569, 27361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 36 = 5*g, 968*g - 4 = 964*g + 5*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 97, 191, 285, 379, 473?\n\"Answer: 94*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113252 less than 113218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190860 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730011721 to the power of 1\/2, to the nearest integer?\nAnswer: 75697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 853683, 1707383, 2561081, 3414777, 4268471?\nAnswer: 5122163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (16 + 97 - 32 - 32).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*48\/(-32)*4\/(-3). Which is the third biggest value? (a) -1 (b) x (c) -31 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -56, -58, -60?\n\"Answer: -2*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(102)\/sqrt(3)*1 + (sqrt(102)*2)\/sqrt(3)))\/((sqrt(288)\/sqrt(192))\/(sqrt(960)\/sqrt(5))))**2.\nAnswer: 979200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - (-65)\/(-60). Let p = 367\/7 + -53. Let f be (1\/2 + -1)\/(-1). Which is the third biggest value? (a) u (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-7) - (-3 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 1\/168*t**8 + 1\/6*t**4 + 0*t + 0*t**5 + 0*t**3 + t**2 + 0*t**6 + 0*t**7 + 0. Find the second derivative of y(l) wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 427*l + 518. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84566 or -676521\/8?\nAnswer: -676521\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 + 796*i\/5 - 806 = 0. Calculate i.\nAnswer: -403, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1579*x - 58921 = 2518*x + 756*x + 101228 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -7097375.\nAnswer: -7\/7097375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-10*a + 18 - 18)*((0 + 0 + 2)*(-2 + 6 - 2) + 1 - 3 + 4 + 0 - 1 - 2).\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -3*k**4\/4 - 7*k**2\/2 + 9*k. Differentiate p(s) with respect to s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 35236776995576.\nAnswer: 35236776995576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9214 and -19.\nAnswer: 175066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17119.\nAnswer: 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b)*(b**3 + 0*b**3 + 0*b**3 + (4*b - 5*b + 3*b)*(5*b**2 + 2*b**2 - b**2)) + (-4*b**2 + b**2 + b**2)*(-8*b**2 + 11*b**2 - 30*b**2).\nAnswer: 67*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 + 3*k + 3. Let f(i) = i**2 - 3*i + i - 2 + i**2 + 0*i. Suppose 0 = -2*o - 2, 3*l + l - 2*o = 14. Calculate l*f(v) + 2*n(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 9:13 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7680\/(-3680)*(-92)\/(-3)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from dddddzdddddzddzddzd?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*x, k + 5*x + 8 + 9 = 0. Let b be 5 - (k\/(-3) + -3). Solve -15 = -t - b*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256341200617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 3*a**4 + 4*a**4 + (4*a**2 - 4*a**2 + 7*a**2)*(2*a - a + a)*(1 - 1 - 4*a).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, v: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -748791, -748792, -748793?\nAnswer: -748794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1770 and 7611?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 - 86*m**2 - 79*m - 1 wrt m.\nAnswer: 12*m - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/9, 215, -0.5 in ascending order.\nAnswer: -2, -0.5, -1\/9, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - -6.2967. What is s rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 6*n. Let r(u) = -2*u**2 + 5*u. Let h(w) be the third derivative of w**4\/12 + 11*w**3\/3 - 10*w**2. Let s be h(-9). Calculate s*r(j) + 3*q(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 21*a - 133 - 11 - 85 + 29. Let h be w(18). Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8.45. Let k = -4.47 + a. Let m = k - -0.02. What is the closest to 0 in 1\/3, m, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*k + 219 with respect to k.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13 - 8)*(-3048)\/(-40). Calculate the highest common factor of z and 12319.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.2 - -31. Let i(w) = -w**2 + 9*w + 4. Let f be i(9). Let n = -70 + 352\/5. What is the nearest to n in -5, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/76 - 658\/133)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**8\/168 - s**5\/10 + s**4\/2 - 110*s**2. What is the second derivative of o(y) wrt y?\nAnswer: -40*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -820, -1174, -1772, -2620, -3724, -5090?\n\"Answer: -u**3 - 116*u**2 + u - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 76*l - 22*l - 15*l - 17*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -65*r**3 - 10*r**2 - 19*r + 5. Let c(t) = 357*t**3 + 56*t**2 + 105*t - 28. Give -5*c(w) - 28*l(w).\nAnswer: 35*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -17. Suppose 3 = -3*k + d. Which is the third biggest value? (a) -2\/17 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(936)\/sqrt(2))**2 - -2*sqrt(52)) + -2.\nAnswer: 4*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*i**2 - 1 + 1 + 327*i**2 - 634*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273326 by -912.\nAnswer: -136663\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -21977 in ascending order.\nAnswer: -21977, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.01, -0.3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1228*d**2 + 4*d + 6. What is the thousands digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-987*l**2 + 871887 - 871887)*(2*l + 2 - 2)*(-l + 0*l + 2*l) in the form b + t*l**4 + d*l**3 + g*l + n*l**2 and give t.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226 or -616?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 8, -z + 10 = 2*t. Suppose -4*w - 12 = -t*w. Is 5 a factor of 8\/16*w\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15346901 >= -30693803\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 351 and -2?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8654*n**4 + 47*n - 1511057?\nAnswer: 34616*n**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -3*(-3380)\/(-15)*(-7 - (-35)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n*n**(-5\/7))**(-1\/11) assuming n is positive.\nAnswer: n**(31\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*2)*-5*-3)\/(sqrt(405) + sqrt(405)*1*2 - sqrt(405)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6 + -2)*(-9)\/21. Find y such that d*y - 2\/7*y**2 - 8\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -23*z - 7. Give l(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/7 - 2708*g**4\/7 + 454252*g**3\/7 + 1379044*g**2\/7 + 1384480*g\/7 + 462400\/7 = 0. Calculate g.\nAnswer: -1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -26. Suppose -3 - a = -5*x. Solve p - u + 4 = 1, -x*p - u - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 181\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21365356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2044, 4092, 6142, 8194, 10248?\nAnswer: 12304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1170, 1166, 1160, 1152, 1142?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/4)\/(39\/65).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539344.\nAnswer: 2, 13, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113.4 - 102. Let l = -13.4 + y. Which is the smallest value? (a) -8 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2251.3 - 2251. Which is the third biggest value? (a) t (b) -2 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1836.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 17}. Give prob of picking 3 x and 1 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -74, -79, -84, -89?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -5552471.\nAnswer: 1\/5552471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27464 - -27461. Let i = -3 + -2. Which is the third smallest value? (a) 1\/5 (b) l (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3\/(-54)*24\/(-18)*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = 0, g = -0*g - 3*k + 1224. Suppose 222 - g = -3*d. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206762, 206754, 206742, 206726, 206706, 206682, 206654?\nAnswer: 206622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 3. Let b be x(1). Let r = -111 - -115. Put 5, b, 0.3, r in descending order.\nAnswer: 5, r, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139 - -145) + 10 + 46.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 944*t**2 + 81200*t + 452352.\nAnswer: -4*(t - 304)*(t + 6)*(t + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50103623?\nAnswer: 73, 199, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + l + 7*l - 23.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 10 = -2*l. Suppose 0 = -a + l*a - 36. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35848924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162 - (-14 + 10 + 0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*u - 93 = 3*u, 5*p = 4*u + 222. Let w = 72 - p. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -34. Suppose -2*x + m = 2. Suppose -4*o = -3*o - 3*k - 2089, -3*k = -x*o + 4184. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*o**3*x**2 + 59*o**3*x + 3*o**2*x**3 wrt x?\nAnswer: -198*o**3 + 18*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 267 - 261 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -145785794 divided by -7?\nAnswer: 20826542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -217*k**2 + 18. Let q(j) = -107*j**2 + 8. Let u(f) = 9*q(f) - 4*v(f). Let x(g) = -g. Give u(x(l)).\nAnswer: -95*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -22\/9 (b) -6\/5 (c) 85.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 - 15*i + 14. Let k be q(-11). Let l be (-295)\/k - 4\/(-10). Let t = -1\/12 + l. Which is the nearest to -0.1? (a) 0.4 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {w: 3, e: 1, c: 1, t: 3, b: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 2436*a**2 + 12104*a - 14496.\nAnswer: 4*(a - 604)*(a - 3)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-14) - 0\/(-2). Let y(x) = -2*x**3 + 72*x**2 + 77*x - 113. Let m be y(37). Which is the fourth smallest value? (a) r (b) m (c) 10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/49 and -10\/24205881.\nAnswer: 169441167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1442452 - 4?\nAnswer: -1442456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 2 i when four letters picked without replacement from {c: 12, i: 4, l: 1, x: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 20 + 20)*(7*b - 7*b + 4*b**4).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101111111 (base 2) to base 15.\nAnswer: -4564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + -4?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 42*r - 3. Determine q(-2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/24 + 139*x**3\/3 + 14421*x**2 - 174724*x\/3 - 7878. Factor j(p).\nAnswer: (p - 2)*(p + 418)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w**2 + w + 1. Determine z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 670*k**2 - 14445*k - 13770.\nAnswer: 5*(k - 153)*(k + 1)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27788 or 1472828\/53?\nAnswer: 1472828\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*6\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3. Let c be 153\/12 + 1\/4. Suppose 0 = q - c + 4. Suppose 0 = 2*u + o - 1, 0 = 2*u - 2*o + 5*o + q. Give j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*p - 130*p + 22*p + 52*p.\nAnswer: -276*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 25.987\nAnswer: 30.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 11\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/21420 and -61\/237825?\nAnswer: 16172100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 424723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(4*(sqrt(4) - 3*sqrt(4))) - (sqrt(500) + 0)*-3.\nAnswer: 239*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 49 = p, 10*p + 552*l - 4 = 551*l - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 + 7*u - 17. Let c(n) = 5*n**2 + 3*n - 8. Let j(z) = -13*c(z) + 6*w(z). Let q be j(3). What is the highest common factor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9261 + -6416. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 25*c - 30*c - 5*g, -c + 3 = -5*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 242601\/(-14025)*(-1)\/(-14). Let v = r - -1\/3850. Is v less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/10 - 2849*s**2. Let r(p) = 47*p**2 + 2. Calculate l(r(n)).\nAnswer: 13254*n**4 + 1128*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -2*j. Differentiate 6 - j*f + f + 5*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2 + (2 + 3 - 3)*(2 - 2 + 1) + 4 + 0 - 2 - 3 - 2 + 4)*(2*y**4 + y**4 + 0*y**4) + 2*y**4 - 2*y**4 - 2*y**4.\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-5))\/(6\/(-20)). Let g = -12 + f. Suppose -13 = -q + g. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {w: 2, i: 8, p: 2, v: 1, d: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)\/(c*(c*c**(-1\/13)*c)\/c) assuming c is positive.\nAnswer: c**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936\/(-3)*(-18)\/36 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3 + (4 - 59002314\/1908). Let b = g - -30922. Find the common denominator of 45\/22 and b.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, e: 2, k: 3}. What is prob of picking 2 k and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -256. Let v(q) be the first derivative of -q**i + 5\/3*q**3 + 5*q + 1\/2*q**2 + 5. Let d(j) = -3*j**3 + 4*j**2 + j + 4. Calculate 5*d(h) - 4*v(h).\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**45\/m**18)**(-21) assuming m is positive.\nAnswer: m**(-567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*s - 12 = 0, -5*v - 18*s + 16*s = -29. Suppose -3*l + 59 = v*m, -l - 8 = m - 25. What is the remainder when 14 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-6)\/18*(-4)\/28.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 365*b**4\/12 + 53*b**3 + 3*b - 28. Find the second derivative of c(a) wrt a.\nAnswer: 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/5 - 53*t\/5 + 114 = 0?\nAnswer: 15, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*2\/(-12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*i + 19. Let c(s) = s**2 - 5*s - 2. Let m be c(5). What is the remainder when (15\/m)\/(6\/(-32)) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 12*p - 1 + 6*p. Let v be k(-7). Suppose -v + 24 = -4*y. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**3 + 0*z + 0 + 3\/5*z**5 + 0*z**6 + 0*z**4 + 1\/105*z**7 - 15*z**2. Find the third derivative of i(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158 a factor of 118042788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96143, -96142, -96141?\n\"Answer: t - 96144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -705*c. Let i(r) = -10*r. What is i(n(z))?\nAnswer: 7050*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*i + 36 = -554*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:32 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5131 * -1.09.\nAnswer: -5592.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3083 + -2999. Is c smaller than 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14185007183*s**2 - 15*s**3 - 14185007183*s**2.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.5. Let c = 0.6 - o. Is -1\/7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -19*c - 1784800. Round c to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, l: 1, i: 1, j: 1, f: 1}. What is prob of sequence ji?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/208 + 4482\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14028 + -13591. Calculate the greatest common factor of 805 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/10 - 1\/5. Suppose -p*h - 8 = -h. Let r(b) = -b**2 - 8*b + 8. What is the remainder when 21 is divided by r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704261409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92738089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 0.2 (b) -0.4 (c) 5 (d) 97 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 132222001 (base 4) to base 16\nAnswer: 1ea81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 i when four letters picked without replacement from sisssssissssisssss?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242133 divided by -3.\nAnswer: 80711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.4 + 9?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j - 388 = -4*i, 0 = 4*j - 4. Calculate the remainder when i - 7 - (-6 - -3) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2658db?\nAnswer: 2658d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**3 + 6*n**2 + 6. Suppose g + 28 = -3*u, -3*g - 3*u = u + 59. Let m(c) = 15*c**3 + 12*c**2 + 13. Give g*w(q) + 6*m(q).\nAnswer: -q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42970322?\nAnswer: 2, 17, 557, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbn when three letters picked without replacement from {b: 11, n: 9}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 2, -0.1, 64, -0.057 in decreasing order.\nAnswer: 64, 2, 1\/7, -0.057, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/116 in -0.3, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8620829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) - sqrt(882)*-2*-2) + 1*sqrt(882)*2)\/(3*(sqrt(600) + sqrt(600)*2*5)).\nAnswer: -7*sqrt(3)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4 - 34*q + 10*q - 23 - 5. What are the prime factors of d(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 + 5*h. Let y be 32\/(-6) + (-6)\/(-18). Calculate n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005136 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408364884?\nAnswer: 2, 3, 11343469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1 (c) 5 (d) -0.13 (e) -159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 3*t**8\/56 - t**5\/10 - 22*t**2. What is the third derivative of i(l) wrt l?\nAnswer: 1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n - 5. Does 27 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b**4 + b)*(-30*b + 27 - 8*b - 24).\nAnswer: 76*b**5 - 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:16 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6532 + -4?\nAnswer: -6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7031 - 0.3031. Let i = -0.5 + 0.5. What is the nearest to 0 in g, -2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444575409 to the nearest integer?\nAnswer: 21085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3 - 865*x**2 + 32880*x - 360000 = 0.\nAnswer: 24, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. What is the third derivative of s*g**3 - 5*g**3 + 2*g**2 - g**2 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 96?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 4*j**2 + 3*j**2. Let i(b) = b. Let g(m) be the first derivative of 9*m**2\/2 - 2. Let r(y) = g(y) - 12*i(y). Give k(r(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4880 and 6710?\nAnswer: 53680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-12) + (-2)\/(-3). Sort 3, -3, q, -4 in decreasing order.\nAnswer: q, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 247?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 296.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*q + 34*q - 70*q - 107*q)*(-3*q**3 + 6*q**3 - q**3).\nAnswer: -380*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*f**4 + 58*d**3*f - 13*f**5 + 3*f wrt f?\nAnswer: 60*d**3*f**2 - 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797125.7 millennia to decades.\nAnswer: 79712570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1603, -1609, -1617, -1627?\n\"Answer: -y**2 - 3*y - 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-four fifths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340807.\nAnswer: 37, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x + 2*x + 2 + 111*x**2 - 225*x**2 + 115*x**2. Calculate l(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d**2 - 5*d + 4. Let o(v) = -4*v**2 - 3*v + 2. Let t(a) = 5*a + 147. Let h be t(-28). Let k(c) = h*o(c) - 3*p(c). Give k(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 1432*w + 11521. Calculate k(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.047 or 46?\nAnswer: -3.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 4*q**3 - 2200. Let z(h) = -35*h**2. Give z(k(m)).\nAnswer: -5040*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -15. Let r = 49 - f. Suppose -d + 2*l + 5 = 2, -3 = d - r*l. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 - -2?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78)*-2 - sqrt(78)) + sqrt(78) + sqrt(78))*3 + sqrt(78))\/(-4*sqrt(294)).\nAnswer: -sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 71700 to the nearest one thousand.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 3*o - 11, 0 = -2*o - 4*v - 24. What is the common denominator of 1 - 130\/16 - 1 and 2\/o*(-140)\/32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 79*j**2 - 46*j - 93. What is the remainder when 360 is divided by f(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2137892 rounded to 4 dps?\nAnswer: -0.2138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 + 15 = -22*d + 93 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 9*y - 9. Suppose 2*h = -0*h + 18. Let d(x) = -x**2 + 2*x + 2. Suppose 24 = 4*s - 4*k, 0*k = -5*s - 2*k + 2. Determine h*d(g) + s*w(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207, 205, 203?\n\"Answer: -2*t + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*l = 295, -3*u = -2*l + 4*l - 415. Calculate the smallest common multiple of u and 24.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105335 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -33.6. Let q = 3 - t. Let i be 54\/10 - (-2)\/(-5). What is the second smallest value in i, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 19 = 5*t - 3*t, 0 = -3*t - a + 26. Let w = 3 + t. Is 4\/w - 511\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425) + 4 + sqrt(425))**2.\nAnswer: -40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = j, 4*j - 1 - 57 = -2*u. Let k(r) = -r + 5. What is the remainder when j is divided by k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*x. Let l be x*(3*-1 - (-5 + 1)). Let a(i) = -i**3 - 2*i**2 + 2. Let n be a(-2). Sort l, -4, n in decreasing order.\nAnswer: l, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 10 + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a**(3\/17)*a)\/(a**16\/(a\/(a**(-2\/29)*a))))**(-11\/3) assuming a is positive.\nAnswer: a**(23056\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:29 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -41, 162 in descending order.\nAnswer: 162, 0, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*6\/4)\/(-1). Suppose -88 = -2*m + 5*x, -x + 2*x + 119 = 3*m. Let g be m\/(-9) - t\/(-9). Put g, 0.3, -0.4 in increasing order.\nAnswer: g, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 2. Let o be k(-5). Let s(w) = 2*w - 2. Let v be s(o). Solve c + 2*c + v = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k + 35. Let m(a) = -56*a + 175. Let i(f) = 2*m(f) - 11*t(f). Calculate i(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 2\/507, -7\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122889\/5984 + -5\/544. Let n = o + 8836\/429. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 5*j - 12. Calculate y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 - (-123)\/205. Suppose b - 6*b = 3*o - 21, 3*b - 17 = -4*o. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192127454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 20 + 41 - 2*k**3 - 22 + 7*k**3 - 8*k**3 as v*k**2 + a*k**3 + c*k + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7793*b - 77933. Calculate c(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + 0*h - 2*h**2 - 3*h - 5*h**2 + 5*h**2 - 2*h**2 + (-2*h - 4*h + 5*h)*(2*h + h - 4*h).\nAnswer: h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let l be (-1 - -2)*(5 - q). Solve l*w + w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:43 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(108) + 0)*5)**2 + (3 + 3*(sqrt(108)*4 + -2))**2.\nAnswer: -432*sqrt(3) + 83061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 - 7 = 0. Let d be (0 + 1 + 1)*r. Find b, given that -6*b**2 - 6*b**d + 4*b**2 + 3*b - b = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 719 - 718.8. Let k = 0 + 0.2. Let r = 0.2 - k. Which is the closest to 1? (a) r (b) d (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(0*d - d - d)*((1 + 2 + 3)*(0 - 3 + 5) - 2 + 5 + 0).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2221 - 2*s**5 - 2221 + (s**3 - s**3 + 2*s**3)*(-2*s**2 + 2*s**2 + 2*s**2) + 2*s**5 + 2*s**4 - 2*s**4 + 4*s**5 + 8*s**5 - 4*s**5.\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71, -77, -85, -95?\n\"Answer: -l**2 - 3*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1114 = -281. What is the greatest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 10 = 5*o, 2*p + 3*o - 5 = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-23 - 7) - (-2 - -8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 42. Let q(w) = 20*w. Let h(m) = -7*m + 312. Let d(t) = -3*t + 144. Let l(z) = 13*d(z) - 6*h(z). Give j*l(s) - 3*q(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -4, -2\/17, -6, 7\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*i - 255, -2*p + 88 + 37 = -i. Calculate the greatest common factor of 114 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 372 = 11*u. Calculate the remainder when 370 is divided by u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6220?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1926*l**2 - 455*l**2 - 48 + 17 + 31 to the form o*l**2 + f*l + t and give o.\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*d + 7708 = 62236 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.993 + 0.007. Let s = g - 43. Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 7 + 0 + 0 - 1.\nAnswer: -7*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 3*d. Let z(x) = 138*x**2 - 102*x - 6. Let t(f) = 36*p(f) + z(f). Let a(n) = n - 1. What is 12*a(i) - 2*t(i)?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 14*q**3 + 2*q**4 - 28*q**2 - 4*q**4 + 27*q**2 + 2 - 6 in the form w*q**2 + h*q**3 + t*q**4 + z*q + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*((0*j - j + 3*j)*(0*j**2 - 4*j**2 + 3*j**2) - j**3 - 2*j**3 + 4*j**3) + j**3 + 0*j**3 - 4*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njnj when four letters picked without replacement from njnnjnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o - 11*o - 16*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 0, -5*u + 55 = 4*k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4006 = 159*l + 314*l + 2143 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 22. What is the greatest common divisor of c and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/30 + 1561\/70 - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 11:27 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1521401*i**4 - 6*i - 2*i**2 + 1521402*i**4 + 4*i + 2 - 4*i**3 to the form v*i**4 + c + k*i**3 + u*i**2 + n*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -141? (a) -2\/7 (b) 2 (c) -4 (d) 167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2664 and 76549707?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 50 = 7*f - 5*p, 2*p - 4 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elfffeefeffecpeee. Give prob of picking 2 e.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 - 1. Give k(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.11 + 11.15. What is the smallest value in 0.3, -0.13, 2\/3, -0.1, b?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 73196 = -4*t, -2*w = -6*w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + r + 2 + (4*r + 2*r - 4*r)*(1 - 1 - 2) + (-5 + 5 - 2)*(3*r + 4*r - 2*r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11912 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**2*n*n)\/n)\/n**(-5))\/(n*n\/(n**(-3)\/n)*n*n**(-1\/6)) assuming n is positive.\nAnswer: n**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 7. Let y(o) = 2*o - 5 + 20 + 4*o + 2*o + 3*o. Determine -5*l(i) + 2*y(i).\nAnswer: -3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 + 0 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(5 + sqrt(7) + 0 + sqrt(7) + (3 + sqrt(7)*1 - sqrt(7))) + 5*1*sqrt(7) + (sqrt(7) - (5 + 3 + sqrt(7))**2)).\nAnswer: 54*sqrt(7) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.81 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-8) - (-2)\/8. Suppose 195*q + 1672 = 347*q. Suppose q*k - w = 10*k. Solve k*t + 1 + 24 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1035*18\/105. Let a = 22807\/1610 + k. Calculate the common denominator of -2 - 45*2\/(-52) and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26432, -52862, -79292, -105722, -132152, -158582?\nAnswer: -185012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.72 + 0.28. Let g = 21.0000292 - p. Round g to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 5 in ascending order.\nAnswer: -17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.379 + -3531.621. Let g = z + 3507.932. Let a = -27 - g. What is a rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {s: 2, l: 1, g: 1, v: 2, k: 7, u: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*s - 6089, -3*m + 20*s + 18270 = 15*s. What are the prime factors of m?\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -374458.\nAnswer: 1\/53494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 + -64627.\nAnswer: -65092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 0 (c) -96 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861079 is divided by 785.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 11 - 1)*(-33 - 43 + 90)*(3*a - 2*a + a)*(1 - 2*a + 2*a - 2*a).\nAnswer: 952*a**2 - 476*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:44 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 22 + -23 - 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143123*g**4 - 2*g**2 + 3169*g + 15 wrt g?\nAnswer: -3434952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*k**2 + 2\/7*k + 0 + 2\/7*k**3.\nAnswer: 2*k*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b68227 (base 13) to base 9\nAnswer: 18110284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/3*(-90)\/35. Is ((-15)\/(-2) - -1)*(-7416)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/328 and 79\/32?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {v: 7, f: 4, t: 6}.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/10 - c**4\/12 + 2*c**3\/3 - 4*c**2. Find o such that d(o) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:49 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35970 + -35970. Let b = 2 + -1. Put 4, b, n, -3 in descending order.\nAnswer: 4, b, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-2)\/8*-2. Let j(a) = 4 - q + a**2 - 1. Let h(d) = d**2 + 3 - 3. Give j(h(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -179, -2\/5, 117?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 194. Let u be n\/(-126) - (-8)\/14. Which is the nearest to 0.1? (a) u (b) -3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -336\/641 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 9804331?\nAnswer: -9804333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**2 - 1\/10*o**5 - 31\/30*o**6 - 1\/6*o**4 + 2*o - 70 - 43\/6*o**3. Find the third derivative of j(k) wrt k.\nAnswer: -744*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*q - 36 = -165, 2*j - 68*q = -78 + 206 + 148 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15843260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852991?\nAnswer: 43, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*1472\/184?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 4, n: 1, h: 3}. Give prob of picking 2 h and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}