diff --git "a/data/dm_maths/full_data_1/1297_11255.jsonl" "b/data/dm_maths/full_data_1/1297_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1297_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of 2 - -2 - (62 - (2 + 43))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283905.9 millennia to years.\nAnswer: 283905900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c = 183*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131303 (base 5) in base 11?\nAnswer: -14715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.1, -13, -267.33?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 8*b**2 + 3*b - 10. Let y(s) = 4*s. Let d be y(1). Suppose d = a - 4. List the prime factors of j(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 2, -1782.43?\nAnswer: -1782.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39780743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*f**3 + 2*f*i - f + 395*i wrt f?\nAnswer: -105*f**2 + 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = -4*x - 15, 3*z = 5*x + 28. Suppose 2*c + c - 6 = 0. Let 3\/2*w - 1\/2*w**c - z = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10835 and 2380345.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.8 in 40, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1817475 and 4125?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 70 = -50. What are the prime factors of l\/(-10)*-3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -374, -437, -558, -743, -998?\n\"Answer: -q**3 - 23*q**2 + 13*q - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 5*q**2 + 17*q - 30. Calculate j(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19084, -19107, -19166, -19279, -19464, -19739, -20122?\n\"Answer: -3*k**3 - 2*k - 19079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0492 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1507.8 - -1507. Let a = 0.17 - 0.37. Let m be -1*2*2\/(-16). What is the closest to 3 in a, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 11*r**2 - 3*r + 11. Let m be t(-11). Find the common denominator of (246\/m - 4) + 1 and 39\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d + 369309. Let s(x) = 4*x**2. Determine j(s(h)).\nAnswer: -56*h**2 + 369309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c + 10*c - 23*c)*(-55*c**3 + 55*c**3 + 5*c**4) + c**4 + 8*c**5 - c**4 + (-2*c**2 + 3*c**2 - 2*c**2)*(-2*c**3 - 2*c**3 + 6*c**3).\nAnswer: 56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -1 - 13. Let v = -13 + 18. Let r(f) = 4*f - 16. Let s(g) = -6*g + 24. Let q(a) = d*r(a) + v*s(a). What is q(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 1. Let x(u) = -5*u - 2*u**2 + 17*u + 6 - 4 - 13*u. Let k(g) = -2*g + 3*g + 4 + 0*g + 3. Let j be k(-5). Give j*p(v) - 2*x(v).\nAnswer: 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 122 - (16 + 19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30 and -59\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 183*f - 150*f = -901*f - 13020 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 311*y**2 + 8*y + 2. Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -152*z**2 - 3*z - 6. Let t(r) = r**2 - 1. Let f(u) = -k(u) + 5*t(u). Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = r + 2*r - g, 0 = 2*g - 10. Solve i = 4*x + x + 18, -r = 2*i + x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142 + 159?\nAnswer: 159.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(-1 + 1 + 1*sqrt(1331) + -2*sqrt(1331) + 0 + 3)**2*4.\nAnswer: -96480 + 4752*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)*x*(x**(-5\/3)*x)\/x)**(-5\/2) assuming x is positive.\nAnswer: x**(265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 54 = 84. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**3\/3 + 3*z**2 + 4*z + 8. Determine g(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5506060*v**2*x**2 + 15*v*x**2 - 23*v + 467 wrt v?\nAnswer: 11012120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*f*x**3 + 7400*f*x + 10164*f - 48 with respect to x.\nAnswer: -63*f*x**2 + 7400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2760 and 46391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54617101313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14. Which is smaller: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 0*v + 2*v)*(0 - 1 + 2) + 2*v + v - 2*v)*(-49 + 21 + 38).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*r**4 - 292202*r**3 + 2*r**2 - 55*r + 246239 wrt r.\nAnswer: 7440*r - 1753212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 41368\/2069?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2191073*s - 54776830. Calculate t(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.5, 1, -2\/17 in decreasing order.\nAnswer: 1, 1\/10, -2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097475171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6978368 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527053.\nAnswer: 527053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -49. What is the remainder when 73 is divided by (i\/(-3 + -1))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 20828400.\nAnswer: 20828400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 8:59 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 + -187. Let d = -276.36 + g. Round d to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/16 - 46\/(-8). Suppose -r*x = -f - 0*f + 11, -104 = -4*f + 5*x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -95 (c) 5\/3 (d) -0.1411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 - w - 4*w + 5 - 4*w**2 + 3*w**2. Let z be x(-5). Solve 0 = -4*k + z*o - 35, -3*k - k = 4*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 5*j**3\/3 - 64*j + 1325. Let s(q) = -4*q. What is y(s(f))?\nAnswer: 80*f**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-20) + (-157)\/(-2). Let q = 1 + g. Does 38 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1171814300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.975 + -0.025. Let t = 49 + r. What is the second biggest value in t, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -27 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -26. Let i(y) = 67*y. Let h(f) = -988*f. Let p(o) = 9*h(o) + 133*i(o). What is p(v)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*u - 20948 = -5491 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3782, -15193, -34218, -60863, -95134, -137037, -186578?\n\"Answer: -q**3 - 3801*q**2 - q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((4 - 4 - -2) + -8 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 14. Let g be z + -7 - 1*-3. Let a(c) = -7 - c**2 + 5 - 4 + 6*c. Determine a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqv when three letters picked without replacement from qivdvia.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/3 (b) 128.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 less than or equal to -566989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134101 (base 7) to base 4.\nAnswer: -12031120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 5*d + 4*d + 3*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 547.69 > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -3. Suppose 2*m - z = -t + 6*m, -2*t - 4 = 4*m. Suppose -t + 1 = -l. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + w + 3)*(129 - 181 + 55 - 793).\nAnswer: -790*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.381124s to nanoseconds.\nAnswer: 5381124000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4096 and 65\/3072.\nAnswer: 12288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 3. Let g(z) = 2*z + 3. Let w(p) = 4*g(p) + 3*k(p). Let a(u) = u + 20. Suppose 6*o - 28 = -118. Let x be a(o). Determine w(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 2210*r**2 + 2215*r.\nAnswer: -5*r*(r - 443)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Let w(m) = m**2 - 4*m + u*m. Let j(t) be the third derivative of t**4\/12 + 2*t**2. Give w(j(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 2*s = -20*l + 6, -2*l - 8 = 3*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 214150?\nAnswer: -214145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvoxx. Give prob of sequence ox.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/20 - b**4\/6 + b**3\/3 - 20*b**2. Let p(q) = -15*q**2 - 21*q + 11. Determine 11*d(h) - 2*p(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/((-36)\/(-12)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 716 and 92?\nAnswer: 16468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*f = 7*f - 30, 0 = -4*y - 3*f + 26. Let s be ((-364)\/21 + 15)*(-6)\/7. Solve -y*k = -s*x + 3*x - 6, -3*k - 3*x + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 1. Let u(p) = -p**3 - 4*p**2 - 3. Let k be u(-4). Calculate the remainder when 18 is divided by g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let g be t(-11). Let s be (-285)\/2*24\/g. Let f be (-2)\/(-6) + 150\/s. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57432*x**5 + 2*x + 5739 wrt x.\nAnswer: 1148640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, 0 = -5*x + 3*i + 2*i + 385. Calculate the lowest common multiple of 2 and x\/7 - (-2)\/(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 34. Determine r(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 21659?\nAnswer: 194931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*s**3 + 151*s**3 + 359*s**3 + (4 - 4 - 2*s)*(0*s**2 + 2*s**2 - s**2) to t*s + r + k*s**3 + l*s**2 and give k.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3035 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (-33 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let g(k) = k + 1. Let i(w) = 20*w + 12. Let m(z) = -12*g(z) + i(z). Give m(u(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(4\/(-2))*0. Let n = 43\/58 + -13889\/232. Let k = n - -59. Do j and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 3 in descending order.\nAnswer: 10, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 7*u**2 - 16*u**2)*(-18 + 9*u + 18) - 12*u**3 - 3 + 1 + 13*u**3.\nAnswer: -26*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -406, -1139, -1936, -2779, -3650?\n\"Answer: 3*o**3 - 50*o**2 - 604*o + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from kiiwiikwwiwkiikikki.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {l: 1, n: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 14 - 4 = 5*k, -6 = -3*k - 5*v. Let p(l) = 301*l. Let y be p(1). Suppose 779 + y = -k*q. What is q rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00141928726 rounded to 6 dps?\nAnswer: 0.001419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(2) - 2*sqrt(2)*3))\/(sqrt(28)\/(sqrt(16)\/(sqrt(4) - (2*sqrt(4) + sqrt(4))))).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z + 29. Let r be y(4). What is the highest common divisor of r and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3326 + 3453. What is the nearest to z in 2, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 1326*n + 216504.\nAnswer: 2*(n - 372)*(n - 291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -3, 0.01, 1, -77844?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 5*g + 5*g)*(-2 + 2 - 2*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**3 + 8487*j**2 + 446299*j?\nAnswer: -42*j + 16974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 103. What is the lowest common multiple of 5 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 5:00 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248150.\nAnswer: 2, 5, 167, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 142*j**3 - 6*j**2 + 1435*j - 5. Let p(y) = y**2 - y + 1. Let o(w) = -5*p(w) - s(w). What is the second derivative of o(q) wrt q?\nAnswer: -852*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 2 - 2 - p + 2*p + 0*p + (3*p - p + 0*p)*(1 + 1 - 1) + p + 2*p - 4*p + 3*p - 2*p - 2*p + 798 + 896 - p - 1284.\nAnswer: -2*p + 410","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {o: 3, n: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, 4, -1\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**2 - 5*g**2 - 3*g**2 + (2*g + 2*g - 2*g)*(-3*g + 2*g + 0*g) - 2*g**2 + 0*g**2 + 3*g**2 to r*g**2 + a*g + x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 203*p + 681 = -393 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Suppose o + 4 = a. What is the greatest common divisor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2881*t**2 + 13*t + 20. Let g be n(-12). What is g rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15716706, -31433414, -47150108, -62866782, -78583430, -94300046, -110016624?\nAnswer: -125733158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 10*u**3 + 3*u + 3*u**3 - 4*u**3 + 0*u**3 + 0*u**2 - u**3 + 0*u**2 - u**3 + 3*u**3 - u**3 + (-1 + 1 + 2*u**3)*(1 + 5 - 4).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1498.502um to nanometers.\nAnswer: 1498502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/5 - 17568*z + 2900898\/5 = 0.\nAnswer: -43953, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + l + 1. What is the units digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*v - 1708 = -1944 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) - 406\/(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (496 + 2080 + 1921*r - 1919*r + 1353)*(0*r**3 + r**3 + r**3) to the form s*r**2 + x*r + h + l*r**4 + w*r**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 107*i**2 + 58*i - 11. Determine s(54).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6.812 times -0.1\nAnswer: -0.6812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/48 and (132\/(-13200))\/((-4)\/365).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u**3 - 7*u**2 + u**3 - 12*u + u**2 + 4 + 10*u**2. Let t be j(-6). What is the lowest common multiple of (t\/3)\/(1\/3) and 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5400782639?\nAnswer: 7, 89, 8668993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 + 4024674*o - 4024676 = 0.\nAnswer: -2012338, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/3 + i**5\/30 - 3*i**4\/8 + 120*i**2 + 1. Find the third derivative of d(k) wrt k.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61122 + 29029 = 3*f - 4*p, -4*p + 120164 = 4*f. List the prime factors of f.\nAnswer: 3, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.6376 decades to years.\nAnswer: 9786.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 - 5*n + 3. Let c be x(5). What is the second derivative of -z + 2*z - 4*z**c + 4*z**3 - z**3 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.224? (a) 144 (b) 0.6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 2*c + 5. Let d(b) = -2*b**2 - b - 2. Give -8*d(l) - 3*y(l).\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2081 - -2.2571. What is q rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.515 + 0.2?\nAnswer: -19.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 - 302. Suppose d + 3*u = -10, 5*d + 4*u - 6*u = -33. Calculate the remainder when (-121)\/d + (-14)\/49 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5889, -23533, -52939, -94107, -147037?\nAnswer: -211729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1*(0 - -1)). Let y be (0 - (-3)\/32)*2786\/(-597). Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 148948909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-4)\/10)\/((-18)\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 23*l + 26. Let j be w(22). Solve 3*u = -3*r - 3, j = 2*r - 2*u - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*19492653\nAnswer: 116955918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -18*x + 18*x + 1 + 25*x**2. What is the units digit of s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 g when three letters picked without replacement from {q: 1, y: 8, u: 2, g: 9}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzmf. Give prob of sequence zmzf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, l: 2, k: 2}. Give prob of sequence lc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 63.5 * -5\nAnswer: -317.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, 2\/55, -1\/3 in ascending order.\nAnswer: -1\/3, 2\/55, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/2 + -2)\/(1\/(-604))?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 3 - 14*s - s**2 - 2*s. Let y be o(-14). Sort y, 12, 5 in increasing order.\nAnswer: y, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyay. Give prob of sequence ayy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172695190?\nAnswer: 2, 5, 311, 55529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (-24419)\/2919. Let r = l - 7\/834. Find the common denominator of r and ((-33)\/21)\/(-4 + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4583669 nanograms?\nAnswer: 0.0000000000000004583669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3.7, -1\/8 in ascending order.\nAnswer: -1\/8, 3.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 81*r**2 - 1897*r - 60034. What is y(-29)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1040)\/13)\/40*(-10)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Let o be 3\/(-5 + 1 - -9). Which is the closest to s? (a) o (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*k + 176.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 2. Let f be k(3). Let a(q) = -q**2 + 6*q + 6. Let v be a(f). Are 3 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h**2 - 131*h - 3*h**3 + 140*h + 7*h**3 - 3*h**3 - 34. Calculate the remainder when b(10) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 14\/8 + 27\/(-36). Let x be (6\/(-4))\/(12\/(-8)). Suppose -5*l = -4*l - x. What is the smallest value in s, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/15)\/((18\/15)\/3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110.154*-229\nAnswer: -25225.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/4 + ((-150)\/24 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121824 or 121791?\nAnswer: 121791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975536710.\nAnswer: 2, 5, 743, 131297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389429124 - 56466973726\/145. Let y = 1719 - c. Let w = 1149\/1595 + y. What is the common denominator of w and -44\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 391323*y + 0 + 391319*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1304 by 1304.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9938248 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**3*t**2 - 201*i**3*t - 55*i**3 - 12*i wrt t?\nAnswer: -4*i**3*t - 201*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11132026940 - 11132026993.00000217. Let o = -53 - l. What is o rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2915 = -169*p + 174*p. Is 58 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (209\/(-33))\/(1\/3). Let q = i - -23. Is (1 - 1085\/q)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, h: 3, j: 2, u: 2}. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqekgze. What is prob of sequence qg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216648482.\nAnswer: 2, 1613, 67157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**1*n))**4)**20*n*n\/n**(-6\/5)*n**(1\/5)*n*n\/n**(2\/11)*n*n**(-2\/15) assuming n is positive.\nAnswer: n**(1004\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = 5*o, 0 = 2*o - k + 3*k + 2. Suppose o = 5*h + 50 + 270. Let p = 483\/8 + h. Find the common denominator of p and -59\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 697608 = -0*i. Let l = 135536 - i. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/7 + 16*p**3 - 218*p**2\/7 + 108*p\/7.\nAnswer: -2*p*(p - 54)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16584.9 - -16585. What is the nearest to 3\/11 in d, 0.2, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82b6 (base 15) to base 6\nAnswer: -331513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -0.5 (c) -4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -1 - 39. Let l be 1\/1 - 3 - -11. Let i = l + -1. What is the greatest common factor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v + 3*s - 323 = 0, 0 = 4*s - 4. Let l be 10\/(-75) - v\/(-30). Solve 5*o + l*c = 3*c - 20, 5*c + 16 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4.4, 1\/3, 4\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 - 3. Let s(c) = c. Determine s(q(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003208 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from ccff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 15*n + 14. Let p = -710 - -726. Determine o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850082 is divided by 44736?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 997 + -934. What is the remainder when 314 is divided by o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 + 0?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 95. Suppose -w + j*u + 11 = -3*u, 3 = -3*w - 3*u. Let a be -186*(3 + (-824)\/(-6)) + w. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1 - 16 = -5*t + 3*d, 0 = 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2531, -2423, -2245, -1961, -1535?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-90)\/12)\/(6\/(-8)). Let f = y - 6. Suppose f*a - 24 = 3*x, -5*x - 16 = -2*a + 10. Let t(p) = p + 2. Calculate t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m + 15. Let i(p) = 5*p - 7. Let a(g) = -13*i(g) - 6*x(g). Suppose 16 = 4*c - 5*c + 5*b, -5*c = 3*b - 4. Let q = 1 - c. What is a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1, 1\/21, -0.03, 1\/4, -1\/4?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, u: 4, a: 1, e: 4, r: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/17)*v\/(v**(-1\/27)\/v))**19 assuming v is positive.\nAnswer: v**(18791\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/2 - 1221*t**4 - 17816*t**3 + 937287*t**2 - 3632479*t\/2 + 897990 = 0. Calculate t.\nAnswer: -2427, -37, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 20010?\nAnswer: 13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1280, 5, -0.03 in ascending order.\nAnswer: -1280, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13791 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 15, -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611720 divided by -3630?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/15 + 377\/15 + -1. Suppose -s - 4*s + b = 3*h, 6 = 2*s. Suppose 3 + 7 = 2*w. Calculate the remainder when w is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and (-2)\/(30\/(-1401)) + (-350)\/875?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 32*m**2 - 6*m + 194. Let c be q(32). Solve 0 = 5*t - c*z - 16, 8*t - 5*z = 7*t + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r + 8*r + 3*r - 6*r + r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419932756?\nAnswer: 2, 11, 43, 233, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y + 4. Let j be i(-8). Solve j*b = -z + 3, b + 0*b + 2*z + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*s + 5*r, -5 = 5*s - 765*r + 761*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjsssssossosss. Give prob of picking 1 o and 1 s.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -1052?\nAnswer: -1052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381 - 567*x**4 - 702*x**4 - 284 wrt x?\nAnswer: -5076*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -19919.\nAnswer: -19917.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 370384.\nAnswer: 370384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45162297 to the power of 1\/2, to the nearest integer?\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/629, -3\/4, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) -14 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -670.45 and 0.5?\nAnswer: -335.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6.8. Let u = -3\/44 + -2\/11. Which is the closest to 0? (a) -0.3 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/7 + 53064*f**2\/7 - 377600*f.\nAnswer: -4*f*(f - 13216)*(f - 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v. List the prime factors of 38 + (v - 3 - -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401107?\nAnswer: 3, 83, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-10\/7)*(m*m\/(m\/(m**(-1\/11)\/m*m*m)*m))\/m*m)**18\/((m**(-1\/8)*m)\/m**(1\/6)*m**(1\/2)*m**(-2\/5)) assuming m is positive.\nAnswer: m**(547651\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67749001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29755 and -260957.\nAnswer: -231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1025 and 0.43?\nAnswer: -0.044075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150442, 300886, 451330, 601774, 752218, 902662?\nAnswer: 1053106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150837 less than 2.3?\nAnswer: -1150834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2637285.\nAnswer: 3, 5, 7, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:39 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let h(l) = 2*l**3 + 2*l**2 + 4*l + 4. Let g be h(s). Is (-4 + (-6)\/(-3))*g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/241?\nAnswer: 5\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 571 + 32 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 751166056 a multiple of 5501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-12 + -32 - (1 - -6))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**4 + 1735*r**3 + 227070*r**2 + 13170065*r + 286448815. Let j(h) = h**4 - h**3 + h + 2. Let f(x) = 5*j(x) - q(x). What is c in f(c) = 0?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20)\/(t\/(t**6\/t)))\/(t**(-3\/10)\/t*t)**(-37) assuming t is positive.\nAnswer: t**(-271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1541 divide 1287980128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by -74?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152819527 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 + 6*a**4 + 36*a**3 - 172*a**2 + 222*a - 90 = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*y - 8 = 231*y - 464*y. Let t(i) = -3*i - 1. Let f be t(-1). Suppose -f*z = -k + 6, 0 = -2*k - 0*z - 4*z + 20. Solve -y*h = 2*h + k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53219, -53175, -53109, -53021, -52911, -52779, -52625?\n\"Answer: 11*i**2 + 11*i - 53241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71113866 divided by 35556933?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -2. Suppose 0 = y*s + 2 + 26. Which is the closest to 0? (a) 1\/11 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-4 + 6) + (-719608)\/(-142240). Let y = z + -1\/508. What is the closest to y in 3, 2\/3, 4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -459 * -47508.\nAnswer: 21806172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/21 - 2287990*a\/21 - 2287988\/21 = 0. Calculate a.\nAnswer: -1143994, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + (-460)\/(-45) + -4. Let i(j) = 189*j + 29. Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -5)*6\/(-27)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -1, -1366?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 12*o = -98 - 383 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 957 - 3142 + 998 + 677 = 0 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 27*q**2 - 405*q + 66. Let r(u) = 5*u**2 - 81*u + 13. Let x(a) = -4*m(a) + 21*r(a). Let i be x(-27). Solve i*d = 4*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + 3 + 2 + (sqrt(19) + 1)**2 + -5 - (sqrt(76) - (sqrt(76) + sqrt(76) + (sqrt(76) - 3*-2*sqrt(76)) + sqrt(76)))\/(-2*sqrt(36)).\nAnswer: 3*sqrt(19)\/2 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1630\/3 - -15949\/30. What is the common denominator of -68\/3 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:57 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*a + 21 = -7*i, 0 = 2*i - 3*a - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 45*f**2 + 125*f - 26. Does 4 divide x(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - (-2)\/40. Let n = 2 + 1. What is the second biggest value in -2, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-124)\/(-279)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 13*k + 22. Let f be c(-11). Suppose -3*n - 2*j + 3 + 1 = 0, -3*j + 6 = -2*n. Suppose -3*s + 6*s - 69 = n. Solve -5*x + 3 - s = f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x**(-4))**25*((x**(-2\/19)\/x*x)\/x*x\/(x\/(x\/(x**(-1\/3)*x))))\/(x\/(x*x**(1\/4)\/x)*x**(-3)) assuming x is positive.\nAnswer: x**(17437\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/6 + 4*n**3\/3 - 7*n**2 + 140*n. What is m(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000047861945 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h*h\/h**1)\/h))\/h)**(-11))**(-17)*h*h*(h\/h**(-2\/7)*h)\/h*h**(4\/5)*(h**(-2)*h*h*h)**(-9) assuming h is positive.\nAnswer: h**(-6717\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2. Let a = 13 + -7. Let i(t) = -t - 1. Let x(k) = 4*k**2 + 6*k + 6. Let l(n) = a*i(n) + x(n). Give 3*g(p) - 7*l(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -738122732 - 0.06?\nAnswer: -738122732.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11966.596 to the nearest 10.\nAnswer: -11970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -35. What are the prime factors of d\/(-2)*(7 + 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/69)\/(-1) + 0. Let l = 5.6 - -78.4. Let c = l + -86. What is the third biggest value in c, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60054502 (base 7) to base 6\nAnswer: -254111134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 848 and 233.\nAnswer: 197584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-1)\/6). Let l(y) = 4*y - 9. Let c(a) = -a + 2. Let p(n) = -n**2 - 7*n - 4. Let f be p(-6). Calculate f*l(m) + k*c(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663 by 51.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 3. Let v be c(-2). What is the third derivative of v*a**2 - a**6 + a**2 - 3*a**2 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20364 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*l = -3*d + 4, -6 = 2*d + l. Let k be ((-7)\/((-35)\/10))\/(d\/(-11)). Let b(u) = 3*u**2 - 16*u + 4. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-44*t**4 + t**4 - 8*t**4) - 2*t**4 + 3*t**4 + 3*t**4 as s*t**3 + h*t + r*t**4 + u + m*t**2 and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-8)\/80 - 33\/(-6). Solve 7*y = 3*y - 4*a - 4, -o*y - 2*a + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/6 - 10*v**3\/3 - 3*v**2 + 6*v. Let b be m(6). Let x(l) = -5*l - 1 + 2 + l**2 - 3. Determine x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/219974300 and -91\/4834600?\nAnswer: 439948600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q. Suppose 2*k - 30 = 2*w, -3*k + w = -w - 48. Let i(d) = -129*d. Let l(s) = k*t(s) + 5*i(s). Let f(b) = -28*b. Give l(f(u)).\nAnswer: -84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = 4*l, 5*l + 6 - 1 = 0. Let j = v - -7. Suppose -4*b + 7*b = -5*q + 107, j*b + 64 = 4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -488*o**2\/3 - 2*o\/3.\nAnswer: -2*o*(244*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/(z*z**(-2)\/z))\/(z\/z**(2\/25)*z\/(z**(1\/12)*z)) assuming z is positive.\nAnswer: z**(-551\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.002 and -0.037.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1935650 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + r + 3 = 0, 0 = -5*s - 5*r - 5 - 20. Let b(x) = -x - 1. Let a(o) = -14*o + 2. Let w(y) = a(y) + 3*b(y). Is 7 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.333 - -0.083. Let b = -0.35 + s. What is b rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 23, 56, 103, 164?\n\"Answer: 7*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38624 - 24.47.\nAnswer: 38599.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 1120*f + 86031. Give t(83).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6 (b) -3\/2 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5463 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6947\/65 + 514\/5. Let v = c - -131\/182. Is v > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = m - 809 + 822, -20 = 8*h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 4 + 2)*(-134*p + 3*p**2 + 134*p)*(-2 + 3 - 3 + (2 - 2 + 2)*(-5 + 0 + 3)) to the form b + x*p + n*p**2 and give n.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(7*z - 1 + 0*z + 2) + 1 - 1 + 2*z to x*z + k and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2777 divide 53145884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a factor of 399542856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 - 2*p**2)*(-p**3 - 4*p + 4*p) + 238*p**5 + 222*p**5 - 454*p**5 - 6*p.\nAnswer: 5*p**5 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*1*sqrt(99)*-5*-2)\/((2*sqrt(1296))\/sqrt(256)).\nAnswer: -5 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**3 - 7*i**2 - 10*i - 23. Let w be g(-4). Let o = 715 - w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6630 by -1326.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3193336609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*z - 495*z - 28 = 0. Let p = -1 - -4. What is the common denominator of p\/(30\/z) + (-398)\/90 and -1\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-4)\/(-18) - 310\/(-225)). Suppose 4*g = -4*n - 8, 0 = -4*g + n - 3 + 10. Which is the second biggest value? (a) -2\/15 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -0.489\nAnswer: 42.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*((10 - 10 + 8*h)*(0 + 0 - 4) - 3*h + 0*h + 2*h) in the form a + b*h and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-2) + (-85)\/(-2) is divided by 14*(-2)\/(-21)*(-6)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b76747 - 1?\nAnswer: -1b76748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3496, -6990, -10488, -13990, -17496, -21006?\n\"Answer: -2*y**2 - 3488*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7\/5)*(s\/(s**(-3\/2)\/s)*s)\/s*s**(-2\/5)\/s**6*((s*s**(-3\/7)*s*s)\/(s*s**(-7)))\/(s*s**(-1)\/s)**(1\/32) assuming s is positive.\nAnswer: s**(4819\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 4*y = -17*i + 124, 3*i - 4*y = 96. Sort 1, -5, i.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (609\/27)\/7 - 6\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144999\/76 + -1908. Let u = 1\/152 - x. Let r be (-3 - -2)*(-1)\/1. Is r <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d = 3*m - 10, 2*d = -2*m. Let b(l) = l**3 - 5*l**2 - 2*l. Determine b(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30961 - -62730. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -5 - -7 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/15))**22*((d*(d*d**(-13))\/d)\/d)\/(d\/d**12) assuming d is positive.\nAnswer: d**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 - 18628*p + 18624 = 0.\nAnswer: 1, 4656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s\/(s**3*s)))**(-9\/10))**(5\/18) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6883.96 times 11\nAnswer: -75723.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79709248 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - g**2 - g**2)*(11*g - 40 + 40)*(-3*g + 4*g + 2*g) + (3*g**3 - 4*g**3 - g**3)*(-g + g - 2*g) as d*g**4 + s*g**3 + c + l*g + t*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/10*3\/(-3)). Let x(v) = -v**2 + 12*v - 9. What is x(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54604.7 and -0.521.\nAnswer: 28449.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-92)\/36 - (-1490848)\/(-36). Let q = j + 1242209\/30. Find the common denominator of -55\/54 and q.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 264261050?\nAnswer: 264261044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -0.2, -1273919 in descending order.\nAnswer: -0.2, -171, -1273919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 37 - 0 - (1 + -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 13383557?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 + g + 2. What is c(-3)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2643\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -504.541 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 2\/11, 4 in descending order.\nAnswer: 4, 2\/11, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**2 + 29*q**2 - 56*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 1 - 7. Is j\/7 + 1653\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a + 100. Give u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqrrqqq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1770799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b**2 - 5*b - 3. Let q(w) = 27*w**2 - 4*w - 2. Let r(x) = -3*m(x) + 4*q(x). Let l be r(1). Let j be l\/60 - 2\/8. Is j at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1872) + -1)**2.\nAnswer: -120*sqrt(13) + 9365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25\/15*1944\/(-60) + 15\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-969)\/6460*(-10)\/51. Let u = 2 + 1. Suppose u*z = 8*z. Are z and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 5:47 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 11*w + 121. Let m be y(17). Let f be (2\/(-5))\/(3\/30). Let s be m\/(f\/(-1440)*-3). Round s to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.1127 centuries in decades?\nAnswer: 3291.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 7*g**2 + 5*g - 23. Let i = 63 - 68. Calculate the least common multiple of b(7) and 33\/(i*(-1)\/5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {m: 1, e: 14}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(0 - (-10)\/125). Let u be 3*6\/(-5)*q\/(-45). Determine p, given that 35 - 30*p**u - 55*p**3 + 32*p + 8*p - 5*p**4 + 15*p**3 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 25, 61, 115?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:25 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13536953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 1231*x + 315588.\nAnswer: (x - 867)*(x - 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - -5) + 0\/3. Suppose 4*r + c = -n, -4 = 2*n - 4*r - 18. Suppose -n = i - 19. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 4 + 4)*(-1 - 3 + 2 + 2 - 3 + 0 + (0 - 1 + 2)*(-1 + 0 + 2)) - 2*b - 3 + 3.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2\/11 (c) 4 (d) 234.4 (e) 23 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 805145.34 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 5*l**2 + 2*l - 23 + 21 + 3*l**2 to the form f*l**2 + c*l + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + b = -10, 6 = -g - b + 14. Suppose 543*k = 540*k + 21. Suppose 4*r = 9 + k. Solve r*a = a - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182 bigger than -1499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*p - 8 = -25, 3*p = 9. Let k = 428 + -392. Suppose r + y*r - k = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p**2 + p - p**2)*((-1 + 1 + 1)*(-p - 4*p + 3*p) - p + 3 - 3 - 2*p + 5*p - 4*p).\nAnswer: 8*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (2 - -5) - (-4 - 24)) + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 6*h**2 - 7*h + 2. Suppose 2*s = 4*s + 14. Let x be d(s). What is the units digit of x\/6 + (-130)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 236\/(-5) + 1\/5. Let x = 425\/9 + o. Let v = 0.49 + 0.01. What is the third smallest value in x, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313487733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/93? (a) -22 (b) 2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q - 1. Let l(j) = 3*j - 3 + 57*j**2 - 4 + 6 - 56*j**2 + 5. What is l(r) + 4*v(r)?\nAnswer: -3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:31 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16740215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + sqrt(128)*-1 + sqrt(2) - (sqrt(2)*-2 + -1).\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1283404, -1283855, -1284606, -1285657, -1287008?\n\"Answer: -150*v**2 - v - 1283253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/77 and 65\/693.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*y - 8, 0 = -3*y - 2*y + 5*v - 20. Let w be ((-28)\/(-10))\/(2\/10). Suppose -w = -2*s + 4*l - 0, 0 = -5*l - 15. Is y greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156254178 a multiple of 3808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 20*p + 12 to the form v + w*p and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7421 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9771?\nAnswer: 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Let x(c) be the first derivative of -2*c**3 - 5*c + 1. Let z(t) = -5*t**2 - 4. Give p*z(h) - 4*x(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460 or -462?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 13*l**2 + 3. Let i be g(-13). Let y(k) = 0*k - i*k + 5*k - 3*k. Let d(p) = -24*p + p - 4*p. What is y(d(u))?\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-9))\/(1\/3). Let h be (4 + (-36)\/8)*-28. What is the greatest common factor of h and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32451 is divided by 405?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/14)\/(78\/182) + (-108)\/(-81).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = 2*l, f + 13*l = 16*l - 1. Let m(n) = 8*n + 14 + 1 - 7 - f. Let o(p) = 17*p + 7. Calculate -13*m(q) + 6*o(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 5. Let z(l) = -l**3 - l**2. Let p be z(y). Let u = p - -7. Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10521785\/10894 - 12556\/13. Find the common denominator of 95\/8 and v.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5889\/2 + -2672. Let l = -880\/3 + j. What is the common denominator of (-15)\/(-6) + (-240)\/9 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 4. Let o(t) = -t**2 + 9*t - 9. Let d be (-4)\/(-6)*15\/(-2). Give d*p(m) + 2*o(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4470 + 4540. Calculate the highest common divisor of 49 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 68 = -2*n + 14, 4*n + 12 = 0. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -7. Let b = 46 + w. Is b\/(-4)*(1 - 2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {s: 3, t: 1, d: 3, c: 5, k: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 7}. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 + -604 - (4 - 57)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 126 = -2*n. Let m = n + -14. What is the units digit of ((-180)\/35)\/((-2)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -31*i**6\/120 - 17*i**5\/60 - i**2 + 3*i. What is the third derivative of p(d) wrt d?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - q = -71400 - 32635, 0 = 4*b + 4*q - 83228. Let l = -11884 + b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -685, 44 in decreasing order.\nAnswer: 44, -35, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2220 - -2646. What is the highest common factor of 24 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*v + 18*v + 66*v in the form b + i*v and give i.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296308 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*j = 352, 0 = 2*j + 5 - 3. Suppose -13*f = f - g. Solve 2*w = 7*w + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230874*g**3 + 411*g**2 - 206*g.\nAnswer: -1385244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**7\/3360 - 7*d**6\/1440 - d**5\/480 + 7*d**4\/96 + 163*d**3\/3 + 12. Let k(p) be the third derivative of o(p). Factor k(s).\nAnswer: (s - 7)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 420383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 9*n + 13. Let l be d(-11). What is the remainder when 41 is divided by ((-66)\/(-8))\/(l\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 - (287 + (-249 - -100))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:34 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000969 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 6*a**2 + a - 5. Let g be y(6). Let o be 2 - (-1 + g) - -1. Let h(v) = 1 - 272*v + 89*v + 94*v + 88*v. Calculate h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97985754?\nAnswer: 2, 3, 79, 103, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 11. Let n be u(-8). Suppose r - 3*k = 25, -n*r + 4*k = -1 - 69. Let t = 34 - r. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and -51*(-5 + 6)*-1.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + (-52)\/9. Let y = 0 + b. Let o be 6\/27 + (-195)\/27. Do y and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3041752, -3041745, -3041734, -3041719, -3041700, -3041677?\nAnswer: -3041650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6260*c**3*f**3 - 359071*c**3*f**2 - c**3*u - 16028*c*f**3*u + 2*c*f + 9*f*u wrt f?\nAnswer: -37560*c**3 - 96168*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116130 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2 - 84*j - 81 = 0?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/17, 3\/4, -1.6, 1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3 + 0*p**2 + 0 + 1\/12*p**4 + p. Let v be 104\/(-18) - ((-846)\/(-162) + -6 + 1). Give z(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001906604 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 1811 - 1811.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*z + 3 = 0, -2*t - 5 = 4*z - 13. Let d(a) = -5*a**3 - 6*a + 6. Let n be 2*(340\/8)\/5. Let p(q) = 14*q**3 + 17*q - 17. Calculate n*d(x) + t*p(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 - -6) + 6 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(13\/7))**(-2\/11)\/(((h*h**(2\/5))\/h)\/h**(3\/8))**3 assuming h is positive.\nAnswer: h**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 11:13 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.3 (c) -12\/5 (d) 0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1930577.189982 + 4801706.1899765. Let o = w + -2871127. Let i = o + -2. Round i to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1111 - 83333\/8888. Find the common denominator of z and 35\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 24*o - 3. Calculate l(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6151483903.\nAnswer: 7433, 827591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:12 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18238937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1515362 + -3?\nAnswer: -1515365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 18*j**2 - 19*j - 15. What are the prime factors of s(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21160 or 20\/19?\nAnswer: 21160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -294, 4, 0.2 in ascending order.\nAnswer: -294, -3, 0.2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012539 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4380, 4361, 4342, 4323?\n\"Answer: -19*i + 4399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -770 - -761. Let u be 18\/(-1560)*8\/b*-3. Does u = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 2:27 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 7 - w)*(1 + 2 - 2)*((2 - 2 - 3)*(-2 + 1 + 3) + 3 + 0 - 2).\nAnswer: 5*w - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4947544 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22461876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -8*r + 5*r - 2*y, 12 = 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ipfifffcpfifpuifinp?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**5\/35 - 3*q**4\/28 - 5*q**3\/21 + 3*q**2\/14 + 4*q\/7 + 219. Factor y(n).\nAnswer: (n - 4)*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose y = 2*c + 5*x - 5, 70 = 4*c - 2*x. Calculate the greatest common divisor of 60 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4. Let d be (2*1)\/(2*7\/784). Let z = d + -107. What is p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4271, -3, 0, 3, 74, 5.\nAnswer: -4271, -3, 0, 3, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -0.4, 1\/17, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -74, -5 in descending order.\nAnswer: 6, 5, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -773 and 272993?\nAnswer: -211023589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 856.1364 to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 2519 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 8*w - 5. Let o be m(5). Let t(s) = 10*s**2 + 7*s - 4. Let n(v) = 3 - 666*v - v**2 - 6*v**2 + 661*v. Calculate o*t(h) + 7*n(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose -5*m + 2*m = -a - 6, 0 = m + 5*a + 14. Let j = 4 + -3.9. What is the biggest value in j, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399597918 to the nearest integer?\nAnswer: 19990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**5 + 5*f**4\/4 + 17. Determine h, given that p(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9759997 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 346*d**2 - 2515*d + 906. Give k(-180).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12173839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubnnunuhhhhhhb. Give prob of sequence nuhn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-350)\/(-111125))\/((11\/5)\/(-11))?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(208)*-1 - -2*(0 + sqrt(208))))**2*2.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1119074080*v*z**4 + 324727*v - z**4 + 962 wrt z.\nAnswer: 4476296320*v*z**3 - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 349049 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10795*r**2 - 11*r**3 + 23*r**3 - 5212*r**2 - 5*r**3 - 5*r**3 - 2*r as y*r + t + l*r**3 + g*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -141, -211, -281, -351, -421?\n\"Answer: -70*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3217 - -0.1817. Which is the nearest to 0.1? (a) -0.5 (b) -2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 13281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10011001001111111?\nAnswer: 10011001001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 80 - (-35947 - -35961).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*336\/70?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2 - 5*c - 4*c - c + 2*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 16\/(5 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*i - 18*i - 272. Calculate the remainder when i is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 300 = 2*t, 5*t = l - 64. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 416932 from -2746350.\nAnswer: -3163282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8232 + -3795. Suppose -p - 3*b + h = -0*b, -3*b - 8892 = -2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6660486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + 2*r**3 + 5*r**2\/2 + 6*r + 13. Let k be a(-4). What is the greatest common divisor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 15*a - 50. Solve -5*c - 3*r = 12, 3*c = a*c + 5*r + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 + -2 - 1) + -8 + (15 - (12 + -3)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.27022ns to seconds.\nAnswer: 0.00000004727022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -760452648 + 5?\nAnswer: -760452643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (1*sqrt(22))\/sqrt(11))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 3. Let a(k) = -16*k + 10. Let w(t) = t**2 - 9*t + 5. Let s be w(8). Determine s*a(p) - 10*q(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3714765299924541\/65912 + -56359468678. Let s = x - 2\/8239. What is the common denominator of -22\/9 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 40, 138, 326, 634, 1092?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqiii. What is prob of sequence iq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 56*c - 96.\nAnswer: -4*(c + 2)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/60 + a**5\/30 - a**4\/12 - a**3\/3 + 2*a**2. Factor l(t).\nAnswer: 2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4071008938 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*s**2 + 0)*(4*s**3 - s**3 - s**3) - 17*s - 30*s**5 + 17*s.\nAnswer: -26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*(-6)\/(-5 - -2). Let r be (34 - y)\/(5 + -3). Are 15 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.58880414 take away 0.257?\nAnswer: 408.33180414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3169182 divided by 3?\nAnswer: -1056394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27007353259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86.2 and -3.4?\nAnswer: 293.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2056?\nAnswer: 205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18872338*l - 5*v - 123 = 18872342*l, -2*v + 10 = 0 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389501245*k**4 + 22320*k**2 + 3222*k - 1 wrt k.\nAnswer: 9348029880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(605) + 2 - sqrt(125)*-1)).\nAnswer: -80*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2) + 29\/((-174)\/240). Let l(s) = 32*s - 40. Let p(v) = v - 1. What is t*p(d) + l(d)?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13d17d4 + 6?\nAnswer: 13d17da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001641351 rounded to six decimal places?\nAnswer: 0.001641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -12. Let d(v) = -v**2 - 6*v. What is d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26 + 5*s**3 + 95*s + 6*s**2 + 7 - 71*s**2 + 17 wrt s.\nAnswer: 30*s - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 470 - 215. Let q = -94 + c. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.3 (c) -2\/7 (d) 10.43 (e) 1.203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75467, -75465, -75463?\nAnswer: -75461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 7. What is m(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 - 7*p**3 + 49*p**2 - 120*p + 9670. Let f(l) = 0. What is l?\nAnswer: 2, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 2*m)*(0 - 2 + 4)*(2 - 1 + 1)*(-5 - 1 + 2).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 + 391*p**4\/3 + 262*p**3.\nAnswer: -p**3*(p - 393)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38\/11 (b) -0.2 (c) -534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -845 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 22. Suppose -5*z = -123 - 127. Suppose 40 = 3*x + 5*j, -2*x + 7*x - z = -5*j. Solve -q*a + a = x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -26*i. Let h(a) = -17*a. Calculate -7*h(k) + 5*r(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**1\/v)\/v)\/v**(1\/5))\/((v\/((v\/v**(-3))\/v))\/v*v*v\/v**(-2)))**(-3\/4) assuming v is positive.\nAnswer: v**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/97383 and -79\/22473.\nAnswer: 292149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50672079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2\/5*m**3 - 11\/10*m**2 - 41 - 1\/20*m**4 - 6\/5*m. Factor d(g).\nAnswer: -(g + 1)*(g + 2)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 22. Calculate the lowest common multiple of b(5) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 69875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -253281885 less than -253281886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:28 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*q**2 - 51761*q + 791224054?\nAnswer: 98*q - 51761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/33)*d))\/((d\/(d\/(d*((d\/d**19)\/d)\/d)))\/d))\/(d*d\/d**(-4\/9))**29 assuming d is positive.\nAnswer: d**(-5035\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3111 + -3086. Put -0.1, c, -0.3, 3 in decreasing order.\nAnswer: c, 3, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/(-4)))\/(1414\/303)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5555, -5560, -5569, -5582, -5599, -5620?\nAnswer: -5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2 in ascending order.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38615.92 centuries to decades.\nAnswer: 386159.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + -60832)*(-37 - -35). What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.828 - 1.761. Let k = 0.033 + m. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -67, -5, -221 in decreasing order.\nAnswer: -5, -7, -67, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706107477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 1\/9*w**3 + 0 + 1\/12*w**4 + 1\/60*w**5 + 0*w**2 + w. Factor v(p).\nAnswer: p*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 - 153*z**4.\nAnswer: 3*z**4*(z - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*s + 6 = 0, -5*s = -6 - 9. Suppose j = -5*k + 25 + 125. Suppose -k = 3*a - 6*a. Solve -3*d - 2*n + a = 0, 4*d + 4*n - 7 - 5 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**2 + 739*u - 6216. Calculate m(96).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(42)\/(sqrt(864)*1).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000917 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. What is the third derivative of -6*v**2 - 2*v**2 + 2*v**2 - 5*v**t + 2*v**2 wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**5 + 361310*m**4 - 6527968365*m**3 + 26106092820*m**2 = 0.\nAnswer: 0, 4, 36129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 1\/4 (c) -952992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:03 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 648 = 24*p. Suppose p*z = -19 + 271. Is z at most as big as 63\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*x)*(x**3 - 3*x**3 + x**3) + x**4 + 3*x**4 - 2*x**4 + 3*x**2 - 3*x**2 + x**4 + (x**2 + 0*x**2 - 2*x**2)*(2*x**2 - 1 + 1).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/27)*z*z)\/(z**(-1\/11)*z))**(-1\/8)*(((z*z**2*z)\/z)\/(z\/z**(-6)))**(43\/3) assuming z is positive.\nAnswer: z**(-34291\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241992.\nAnswer: 2, 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = r - 27499, 5*r + 13*m - 12*m = 137495. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7659*k + 8 = 7659*k - m, k - 37 = 5*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125022 and 180900.\nAnswer: 56259900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 4*j - 2 = 0, 557*j + 4 = -4*u + 555*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2530 and 273746?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.17, -0.1, 3, -5, 5, 0.2?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v + 190134 - 190134 - 32*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37816557*z**3 + 15293297*z wrt z.\nAnswer: 226899342*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297 - 233. What is the greatest common divisor of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 15*q + 25. Suppose -11*f = 65 - 219. What is the remainder when u(f) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 105 = 14 + 22. Factor 0 - 20\/3*q**2 + 5\/3*q**i + 20\/3*q.\nAnswer: 5*q*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**21*t*t))\/t*t*t**(-1\/30)\/t)\/(t**(1\/30))**(-17) assuming t is positive.\nAnswer: t**(-337\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 3*z**3 + z**3 + (-2*z**2 + 2*z**2 - 5*z**2)*(-3*z + 2*z - z) + 4*z**3 + 0*z**3 - z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 12*z + 7*z - 48, -3*q = -3*z. Sort 42, -4, -7, q in ascending order.\nAnswer: -7, q, -4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 2 - (37 - 15 - 44).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:47 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-81)\/9)\/54.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(-6 - -21). Suppose 0 = x - 6*x - g, 3*x = o - 369. What is the remainder when o is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3)*(1 + 0). Let l be 5510\/2364 - (-8)\/(-24) - 2. Let z = 1959\/4334 - l. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 424262, 424845, 425424, 425999, 426570, 427137?\n\"Answer: -2*v**2 + 589*v + 423675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 35*k**3 - 89*k**3 + 17*k**3 + 26*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 - 7*l**3\/3 + 3*l**2\/2 + 1. Let k be z(6). Let h be (k - -10)\/(-1 + -1). Solve 3 = h*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 255*b**2. Let q(o) = -160 - 2*o + 81 + 79. Calculate q(d(a)).\nAnswer: -510*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 1335 = -5*b, 2*b - 563 = 5*o. What are the prime factors of b?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + (-252)\/(-70). Suppose -o*p - 3*m = 2*m - 22, m = 2. Suppose -4*j = 3*g - 277, -1 - 2 = -p*j. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12*a = -15*a + 3, -2*k - 3*a - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(2*q - 3*q + 0*q) + q - 2*q + 4*q - 4*q - 2*q + 0*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 287 + 287.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1812418 (b) 1\/4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18 (b) -9\/295 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.7 - -20.31. What is d rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6987432 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*c - c - 8, 49*c + 31*c = s + 85 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 565*f**3*g**2 - 173831*f**3*g - 2*f**3 + 4*f**2*g**3 + 63*g**3 wrt g?\nAnswer: 1130*f**3 + 24*f**2*g + 378*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v**2 + v - 2. Let p be 2\/7 + 718\/(-14). Calculate the remainder when (-1)\/3*(0 + p) is divided by d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19992\/12)\/(-49)*1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401.73479 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -145 and 130 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {q: 6, w: 2, h: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.176 + 1.074. Which is smaller: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(1372) + sqrt(28)) - (-1 + sqrt(3388) + (sqrt(3388) - (sqrt(3388) - (sqrt(3388) - (sqrt(3388) + 0)))) + sqrt(3388)))**2.\nAnswer: 432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3713, -3705, -3687, -3653, -3597, -3513, -3395?\nAnswer: -3237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -n, 5*i = 11*n - 2*n + 36 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -l + 216, 0 = -v + 53*l - 49*l + 98. Calculate the remainder when 667 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(((-2)\/(-24))\/(-13 + 12)). Let m = v + -44. Let u(f) = f**3 + 9*f**2 + 8*f. Give u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(10\/3)*x)))\/(x*(x\/(x*x**(-17)\/x))\/x*x))\/((x*x\/x**(1\/6))\/x*x)**(1\/28))**(-26) assuming x is positive.\nAnswer: x**(9997\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - b**2 - 3*b + 2. Suppose -5*q - 4*g + 47 = 0, -q - 5*g = -3*q - 1. Let p = q + -5. Determine y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100000110001 (base 2) to base 4.\nAnswer: 12200301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19011 times 0.5?\nAnswer: -9505.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-3))\/1)\/(1427\/4281)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 1136 = -16*w. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -158, -2.\nAnswer: -158, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.4 (b) -32 (c) -25.5 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (0 + 1))*1. Let l be 0 + -1 + y\/(-1). Suppose -j + 2*j = l. Is j less than -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21515.54 micrometers?\nAnswer: 2.151554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -3*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150 + -147. Solve y + 3 + 12 = -4*j, 3*y - 30 = v*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 - v - 1. Let s be x(-4). Let z = s + 0. Find the third derivative of -2*a**z + a**3 + 0*a**2 - a**2 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29938*f + 1093284 = -9310*f for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43130 (base 5) to base 6.\nAnswer: 21255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**4 - 7422*u**3 + 20896.\nAnswer: 4*u**3 - 22266*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 29 = -4*m - 5*a, 5*a + 95 = 15*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2206*t - 40043. Calculate m(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-174)\/(8\/(320\/(-3))).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v - 3*v)*(14*v + 17*v - 27*v)*(-3*v**3 + 0*v**3 + 2*v**3).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 605. Let s(f) = -2*f. Calculate s(u(m)).\nAnswer: 4*m + 1210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990415?\nAnswer: 5, 198083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13121819 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1957, 1670, 925, -506, -2851, -6338, -11195?\n\"Answer: -38*o**3 - o**2 - 18*o + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 23*a + 30. What is the tens digit of k(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23367721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55\/2 of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let p(x) = x**2 + 5412*x + 2. Give p(a(y)).\nAnswer: y**2 + 5412*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4\/11 (c) -0.01 (d) -3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/15 - 14*q\/15 = 0 for q.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 465*b**2 - 271*b**2 - 170*b**2.\nAnswer: 24*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*w = -2*w - 9, -3*w = 0. Let a(y) = y**3 - 3*y**2 - 2*y + 3. Let p be a(t). What is the nearest to 0 in -1, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 7597*c**6\/6 - 989*c**2\/2 + c + 6593. Find the second derivative of i(u) wrt u.\nAnswer: 151940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 25. Suppose 0 = 2*h - 3*l - 18, 2*h + 4*l + 13 = h. Which is the closest to x? (a) -0.3 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 1 - (2 - 2). Suppose -o*v = -v. What is the common denominator of -57\/8 and 3\/(-54)*13 + v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 0.06?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1060387 or -1060389?\nAnswer: -1060389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u**2 - 28*u + 10. Let l(p) = -14*p**2 - 31*p + 10. Calculate -3*c(i) + 2*l(i).\nAnswer: -i**2 + 22*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 7. Suppose -3 = -3*n + 12. Let x be j(n). Let d = 35 - x. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1290\/(-63))\/(-5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 35 + 69)*(i + 0*i - 2*i).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51161*d**6 + 5*d**2 + 122*d - 6?\nAnswer: -6139320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6521082 is divided by 15236.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Suppose 2*f - 2*l = -114, 3*f = 2*f + 5*l - 45. What is the tens digit of (3\/z)\/(9\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-878)\/25)\/((-19)\/((-665)\/(-812))). Let v = c - 2\/145. Solve v*b**2 + 3*b**4 + 21\/4*b**3 - 3\/4*b + 0 = 0 for b.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 78028814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79718236.\nAnswer: 2, 13, 17, 31, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + c?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.393, 0.1, -0.3, -28, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*i + 5885*i + 2432*i - 296574 - 413314 = 0 for i.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 3*t**2 + 0*t**2 + (-4*t - 2*t + 0*t)*(-4*t + 4 - 4)*(-7 - 4 + 5) + (-3*t + 8*t - 2*t)*(0*t - 2*t - 2*t) to h + z*t**2 + f*t and give z.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 2. Let k(a) = -4*a**2 - a - 3. Let x(j) = 3*f(j) + 2*k(j). What is x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -4*z**3\/3 + 47*z**2\/2 - 509*z. Determine g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307*u = -373*u - 80640 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.275982105 rounded to four dps?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/5 + 99*f**5\/20 - 137*f**4\/4 + 30*f**3 - 4717*f. Find v, given that t(v) = 0.\nAnswer: -20, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-1 + 0 - 2)*(2*x - 2*x + x - 9) to d*x + n and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-33)\/(-88))\/(6\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68684, -274630, -617872, -1098404, -1716220?\n\"Answer: v**3 - 68654*v**2 + 9*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99269073 + 99269128.000079. Let p = u - 55. Round p to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24125992 - 789.\nAnswer: -24126781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 37071134 - 3*q + 37071134 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16357 + 22862. 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 the derivative of 4*j**4 - j**3 + 1120366*j + 13706744 wrt j?\nAnswer: 16*j**3 - 3*j**2 + 1120366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 16\/4) + 204\/54. What is the third biggest value in -0.09, b, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10) - 3\/5. Suppose 2*w - 5*w + 24 = h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 9. Let b(z) = -56*z**3 - 3*z - 2. What are the prime factors of b(l)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 4\/6*(22 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:42 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2418 - -2418.3. Let q = 4 + -6. Which is the closest to -1\/4? (a) k (b) q (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 11*z - 27. Let m be s(-7). Let r be 4 + -1 - 33\/m. Let y = r + 30. Which is smaller: -1\/60 or y?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82297 + -0.2.\nAnswer: 82296.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8249 - 6673.6. Round v to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*(n**(2\/5)\/n)\/n)**(26\/7))**(-15))**(-44) assuming n is positive.\nAnswer: n**(6864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -30*u. Let g(y) = -27*y**2. What is g(s(n))?\nAnswer: -24300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-2808)*9)\/((-102)\/108)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 3, 2\/9 in decreasing order.\nAnswer: 38, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let g = 577 + -70. Let t be g\/135 + 1\/(-5) - 4. Does w = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 243 = -249. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 39*r**2 + r. Let o(w) = w**2. Let z(x) = 2*x**2. Suppose -5*c + 4*p = 18, 8*p - 9*p + 10 = -4*c. Let f(h) = c*z(h) + 5*o(h). Determine d(f(k)).\nAnswer: 39*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.03 - 27.73. What is q rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160793\/17 - 9461. Let v(x) = 2*x**2 - 27*x - 16. Let l be v(14). Is t greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72 (b) 9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562 is divided by 321?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.04. Let g = v + 0.08. Let p = 1.7 + 0.3. Which is the smallest value? (a) 0.4 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let r(n) = 132*n. Determine r(u(y)).\nAnswer: -132*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4144 divide 67994752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 578 (b) 16 (c) 4 (d) 0.3 (e) -1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*c + 4*c**2 + 248*c + c**3 + c**2 to the form i + x*c + h*c**2 + f*c**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 16327327637?\nAnswer: 16327327636.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-30) + 4\/(-13 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4, 3\/2, 0, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**2 + 60*v + 24. Let n be k(-28). Round n to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 75849*c**3 + 636141564*c**2 - 1743556288560*c - 220419073761216.\nAnswer: 3*(c - 8468)**3*(c + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**0*g*g))**(-47)\/(g**(2\/7))**(-33)*((g**2)**(-8))**(-16) assuming g is positive.\nAnswer: g**(2187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/9, -0.03, 121\/7, 0.09, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315750 + 4*s**3 + s**3 - 6*s**3 - 315669.\nAnswer: -s**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2) - (-208)\/13. Suppose -107 = -3*h + 5*c, 0*h - h + x = 4*c. What is the smallest common multiple of h and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278*x**2 + 320*x**4 + 5 + 74*x**4 + 281*x**2 wrt x?\nAnswer: 9456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -492\/11 - -5\/22. What is the common denominator of n and 71\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25*t - 25. Let b(u) = -1. Let r(i) = 25*b(i) - z(i). Give r(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425286 + 1977.30847\nAnswer: -423308.69153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + -215?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzyyzzyyzz. What is prob of picking 4 z?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*29\/(116\/8).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 126*t - 923. Suppose -3*v - 35 = -119. Calculate the smallest common multiple of d(7) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m + 4. Let a be f(-3). Do a and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/36 + 19\/36. Let z = -4.3 + -60.7. Let g = 68 + z. Which is the closest to 2\/7? (a) g (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16))\/((-5289)\/344).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t = -209, -10*z = -6*z - 5*t + 415. Let x be 8\/80 + 10\/z. Find v such that x*v**2 + 2\/15*v**3 - 2\/5*v + 4\/15 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5404, 5648, 5908, 6184?\n\"Answer: 8*u**2 + 220*u + 5176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3 + 4*w**2 + 38\/3*w.\nAnswer: 2*(w + 4)*(6*w - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 0, -52, 8, -4 in ascending order.\nAnswer: -52, -10, -4, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:31 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89.059 - 0.059. Let y = 94 - b. Put 1, 3, y in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*f**3 - 11*f**3 - 1 + 2*f**4 as m*f**2 + w*f + r*f**4 + l*f**3 + z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 300 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(70) - sqrt(70))\/sqrt(2) - (sqrt(1715)*-1 - sqrt(35)))*2)\/(-2*((sqrt(224)\/sqrt(4))\/sqrt(8) + 3*sqrt(28)\/sqrt(4))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-14)\/(-24)) + 8\/28. Calculate the highest common factor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + -6 + 10 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((1674\/3906)\/(5\/(-165)))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -325\/2. Let s(m) be the second derivative of 0 - 15\/4*m**4 - 375\/2*m**2 + 8*m - 3\/20*m**5 - z*m**3. Factor s(d).\nAnswer: -3*(d + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = h, -7*h + 3*h + 22 = 2*b. Solve -2*w - 10 = -h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/48 and -87\/5872?\nAnswer: 17616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*5*12\/270?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 + 175*w**3 - 570*w**2 + 20*w + 760 = 0. Calculate w.\nAnswer: -38, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*a - 1 = 0, -3*a + 61 = -2*x + 84. Solve 132 = 6*l + x*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g = 18*g + 10. What are the prime factors of 4\/(-16)*-8*193\/g?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136\/5*h**4 - 4\/5*h**5 + 284\/5*h**3 + 0 + 144\/5*h**2 + 0*h = 0 for h.\nAnswer: -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 135.448. Let g = t + -1.448001737. Round g to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 7) to base 8\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35237501515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:51 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let v(s) be the second derivative of s**2\/2 + 106*s. Suppose -5*q - 6 = -4*h, -5*h + 18 + 6 = 2*q. Give h*v(l) - d(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 less than or equal to 512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57387?\nAnswer: 3, 11, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6314.41932 and 6.7.\nAnswer: 6321.11932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -296174.772 to the nearest 100.\nAnswer: -296200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10811 and 462137.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -3)\/(0 - 1). Let r(i) = -i**3 - 2*i**2 + i - 1040. Let v be r(k). What is v rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*v - 435. What is the greatest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -125*c**2 - 464*c - 25. Calculate q(-5).\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 1207*i\/3 + 74404.\nAnswer: (i + 228)*(i + 979)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65059 by 7.\nAnswer: 65059\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 18*r**2 - 18. Let b(w) be the third derivative of w**5\/60 - w**3\/6 - 2*w**2 - 768. Give 72*b(j) - 4*y(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 12*t - 18. Let p be y(10). Suppose -f + p*c = -0*f - 51, -5*f - c + 200 = 0. Calculate the remainder when 366 is divided by f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-23 + 27 + 45 + (-1 + 4 - 1)*(-1 + 5 + 1))*(2 - 2 + m)*(2*m**3 + 2*m**3 + m**3) as r + q*m + f*m**3 + y*m**4 + u*m**2 and give y.\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10))**(-8\/9) assuming a is positive.\nAnswer: a**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -2840, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 8:38 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1088606 and 1952?\nAnswer: 17417696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 30 = 6. Suppose -y = -i*m - 8, 4*y + 0 - 18 = -2*m. Find the second derivative of 7*w + 21*w + 23*w**3 + y*w**3 - 11*w wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952972 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.345188 kilometers?\nAnswer: 345188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -1475, -2212, -2949, -3686?\nAnswer: -4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 0.074, 2\/2531, 6\/7 in descending order.\nAnswer: 5, 6\/7, 0.074, 2\/2531, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (720062\/32484)\/((-14)\/12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and 0.29826725.\nAnswer: -1.0737621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*w - 3*w + w)*(2 - 9 + 2) + 3*w + 5*w + 0*w)*(4 - 4 - w) to the form z + c*w**2 + t*w and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 883109502 to the power of 1\/2, to the nearest integer?\nAnswer: 29717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1448215 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -34\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s)\/(s\/(s**(6\/5)*s*s*s))*(s**6*s*s)\/s*s**(-4))\/(s*s**(-1)*s*s\/(s**(3\/8)*s)*s)**(-2\/95) assuming s is positive.\nAnswer: s**(711\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 + 22 = -3*a. Let y = -17 - a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*c - 972, 163 = -z - 5*c + 1137. What are the prime factors of z?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190727 - 9*r**4 + r**2 - 190729 - 2*r**2 - 2*r + (2*r**2 - 2*r**2 + r**2)*(-3 - 2*r**2 + 3).\nAnswer: -11*r**4 - r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 13*r**2\/2 - 9*r\/2 + 405\/2.\nAnswer: (r - 9)**2*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 254*t + 770. Give x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + l - 1 - 14, 6 = 4*k - 2*l. Suppose 2*d + 6 = 5*f, f + 4*d - 5*d = k. Suppose 37 = h - f*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let m(f) = f**2 + f - 9. Let k be 1\/(-5) + (6 - 28\/10). Let q be m(k). Solve s - 15 = q*s - c*j, -3*j + 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*47*10 - (5 + -2). What is the tens digit of n\/(-3) + 1*(-10)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 188*y**2 - 5566*y + 163. Calculate b(214).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5 - 133. Suppose -p = p - l. Solve -6*z + 2*z = -p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5 take away -0.025623?\nAnswer: -16.474377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/3, -3\/10, -0.2, -2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16569650*s**2 + 58210601 wrt s.\nAnswer: 33139300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2572 - 10291\/4. Suppose 3 = -2*u + 2*b + b, -3 = -b. What is the closest to 1 in 3\/8, u, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let q(o) be the second derivative of o**5\/20 + o**2\/2 + 2*o - 15. Let v(a) = -a**3. Calculate x*v(u) - 2*q(u).\nAnswer: -3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10*t + 6*t + 11726*t**2 - 11730*t**2 + 12*t + 10 to the form v + d*t**2 + s*t and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3774866 + 7549735 - n - 3774869.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqcqqqqq?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/252*-200 + (-2)\/(-9). Let j = o + -28\/9. Factor -j*w**2 + 2\/7*w + 0.\nAnswer: -2*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, -23.62, -2\/151 in descending order.\nAnswer: 0.3, 0.2, -2\/151, -23.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -28*u**5\/3 - 128*u**4\/3 - 232*u**3\/3 - 208*u**2\/3 - 92*u\/3 - 16\/3 = 0.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5951*r. Let d(t) = -t. Determine d(v(w)).\nAnswer: 5951*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1900) - sqrt(1900)) + 3 - (sqrt(1900) + 0 + 3) - ((1 + sqrt(1900) + 1 - sqrt(1900)) + sqrt(1900) + 1 + sqrt(1900) + -4)) + -4)**2*3.\nAnswer: 360*sqrt(19) + 22827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = -198. Let p = x - 54. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 4. Let f(a) = 2*a - 3. Let m(n) = 4*f(n) - 3*o(n). Let s be m(1). Differentiate -5*u**s - 3 + 1 + 0 with respect to u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768 - 162 + 268 = 23*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y + 2 - 30*y - 2 - 10*y + 6.\nAnswer: -63*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*c - 13*c - j, -2*c = 2*j + 16. Let l(p) = -p**2 - 4*p + 40. Let v be l(c). Solve -3*r - v = 4*g, -5*r - 17 = g + 2*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8658\/7 at most -1236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.042 - -1.898. Let q = 0.06 + t. Sort 5, -1, q in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5188, 3346 in decreasing order.\nAnswer: 5188, 3346, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 173559146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82812 divided by -27604.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 - 4*s + 3. Let g be j(-6). Suppose -87*q + 25*q = -1302. Calculate the highest common factor of g and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1476.3048 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137.5 - -111. Let w = b + 36. Let q = w + 7. Round q to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 12. Calculate the least common multiple of j and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 10. Let x be a(-11). What are the prime factors of (x + 246)*(-2)\/(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 6, n: 7, j: 2, u: 1, a: 1}. What is prob of sequence ajju?\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 994\/35*(-1 + 21). Let c = -1018 + j. Let i be ((-6)\/4)\/(c\/(-25)). Is -1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -751*w - 20274. Let x be j(-27). Factor 18\/5*g**x + 0 + 3\/5*g**2 - 3\/5*g**4 - 18\/5*g.\nAnswer: -3*g*(g - 6)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5226.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 18*f = 37*f - 6*v - 2*v + 132, 16 = 4*v - 3*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqhwupqpqpw. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - ((-4)\/1 - -3). Suppose -q*f - 5 = 2*b - 49, -2*b = 2*f - 26. Calculate the highest common divisor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 9999?\nAnswer: -9999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102c6 (base 16) in base 13?\nAnswer: 241cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaddzmzdz. Give prob of sequence dzmd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 72, 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*s - y, -68*y = -71*y + 6. Solve -s*o - 2*p - 8 = -0*p, 3*p = 5*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l + 2. Is d(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/165 and -17\/3597660?\nAnswer: 3597660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from iirg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-5)\/(15\/(-6)). Suppose -l + 1 = b, -2*r + l + 0 - 3 = 0. Let d(f) = -18 - 5*f - 17 + 39. Let k(q) = -q + 1. Give r*d(i) + 3*k(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w**2. Let g(d) = 2*d + 2. Let s(o) = 5*o + 7. Let f = -101 - -103. Let a(i) = f*s(i) - 7*g(i). Calculate a(h(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 175?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-21) - 711\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*n, -2*x - 3*n - 3 + 5 = 0. Suppose -4*y = 16, x*y + 46 = -l + 4*l. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = -q. Calculate the lowest common multiple of 5 + 42\/(-8) - (-90)\/8 and ((-3)\/4)\/(q\/32).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337991647 + -337991623.90509072. Let o = t + -20.094909. Let g = 3 - o. Round g to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let k(a) = 2*a - 2. Let d = 0 - 4. Suppose 0 = 5*f + 8 + 7. Determine d*b(r) + f*k(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 14\/3 (c) -6\/7 (d) 1467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10070 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*z - 62 = 579*z. Suppose 5*v = -r + 3*r - 36, 0 = -5*v + 4*r - 42. Calculate the least common multiple of z and ((-2)\/v)\/((-1)\/(-78)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2088991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b + 5. Let y be v(1). What are the prime factors of (-1100)\/y*8\/10?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/17, 0.331?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/70*(-35)\/(-30)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/12 + j**4\/8 + j**3\/6 + 3*j. Let f(b) be the second derivative of l(b). Is f(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1039 + 6817546.\nAnswer: 6816507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let s be ((-21)\/6 + t)*6. Let n be (20\/s)\/((-19)\/(-13395)). What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*x**2 + 12*o*x**3 - 4*x**3 - 71*x with respect to o.\nAnswer: -2*o*x**2 + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*j = -45, 4*y - 4*j = 20 + 20. What is the smallest common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1114 + 1631. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)*x**(5\/6)*x**(2\/9)*x**(2\/43))**30 assuming x is positive.\nAnswer: x**(5039\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m + 14. Let w(s) = -s - 26. Let x = -21 + 5. Let q be w(x). Let p be c(q). Solve 0 = -3*b - p*l - 17, -3*l = 4*b + 12 + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119743 divided by -1\nAnswer: 119743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*f = 48241, 5*f - 8234 - 1428 = -h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*f + 88*f - 47*f as o + r*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -737425\/48 - -15364. Let a = 152849\/106352 - -2\/6647. Find the common denominator of a and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 4*n**2 + 5*n + 6. Let m be k(5). Suppose m = -j + 5*j + a, -j - 4*a + 14 = 0. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (800\/128 - (-12)\/(-16)). Which is the closest to -1? (a) 9\/2 (b) l (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*a + 8 = 9, -3 = -y - 3*a. Suppose 3*h - 244 = -2*q, -y*q - 3*h + 482 = -11*q. What is the remainder when q is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -562 + 5?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*d**4 - 1704*d**3 + 2475*d**2 - 921*d + 102 = 0. Calculate d.\nAnswer: 1\/4, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00369920076 minus 12511?\nAnswer: -12510.99630079924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 7*c**2 + 5*c - 2. Calculate d(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -63.\nAnswer: 16\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 35 = -10*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452089 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-8)*4)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((2 - 12) + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:59 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = -3. Suppose -r*b - b = -28. Suppose -2*m + 4*s + 14 = 0, 2*m - m - b = -s. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or 911248?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - (-2 - 5)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020101110 (base 3) to base 9.\nAnswer: 36343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*a**6*u + a**4*u**2 + a**2*u**2 - 37*a**2 - 2*a*u**2 wrt a?\nAnswer: -11400*a**3*u + 24*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let i be 155\/((-3)\/(l - -4)). Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, e: 1, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-2))\/(7\/14). Suppose -f*d + 2388 = 7*d. List the prime factors of d.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379134 divided by -118?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/94885250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 1890 = 116*x - 648 - 1015 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125306611.\nAnswer: 11, 13, 605329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109157 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqq when four letters picked without replacement from dqddqqdddqqq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/4 + 23\/12. Let i = 3.199 - 0.199. Which is the nearest to -7? (a) y (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + a)*(0*a**2 + 6*a**2 - 3*a**2) + 3*a**3 - 2*a**3 + 0*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h**18\/h*h)\/h*h*h\/(h*h**(-3\/8))*h assuming h is positive.\nAnswer: h**(163\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s + 50492 = -1899*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:04 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6.4 (b) -3 (c) 2 (d) 1\/2 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5 = o, -5*o = y + 61 - 99 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -44*k - 5. Is n(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2188*z**4 + 8*z + 564577 wrt z.\nAnswer: -8752*z**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35913.926 + -35873. Round k to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (389*n**3 + 242406 - 242406)*(3*n - 5*n + 4*n)*(1 + 3 - 1) in the form v*n**3 + k*n**2 + y*n**4 + q + m*n and give y.\nAnswer: 2334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 - 1. Suppose 0*t + t + 8 = -h*g, 4*g + t + 11 = 0. Let k = g + 3. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60385 and 1534.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:34 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 72909*a**3 + 72903*a**3.\nAnswer: -6*a**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*((-178)\/(-6408))\/(1\/6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n + 23*n + 294 = 24*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + -33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -225789, -3, 4 in descending order.\nAnswer: 4, -3, -225789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4635*m**3 - m**2 + 20*m - 31. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icc. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 1\/60*g**5 + 0 + 0*g**4 + 0*g**2 - 1\/18*g**3 + 5*g. Factor s(a).\nAnswer: a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14abe + 1b?\nAnswer: 14ada","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8180819?\nAnswer: 131, 197, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 1\/3*d**4 + 0 + 0*d**2 + 0*d**3 - 164*d. Let s(y) = 20*y**2. Determine z(s(u)).\nAnswer: 1600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 425959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -3 in descending order.\nAnswer: -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/42)\/3*-2. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661 - 39 = -55*f + 127 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154.53 - 1.53. Let g = 31.17 + -185.51. Let j = g + m. Round j to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1 + 0)*0. Let f(p) = -4*p**3 + 7*p**2 + 7*p - 2. Let g(m) = 3*m**3 - 5*m**2 - 5*m + 1. Let t(q) = 5*f(q) + 7*g(q). Give t(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 4*p + 17*p + 18*p.\nAnswer: -13*p**2 + 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i - 3. Suppose t = -36 + 72. Let b = t + -40. Calculate j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 6*s - 6 - 3*s - 21.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = p - 4*h, -3*p + 2*h + 8 = 0. Suppose -2*m + 20 = -p*s, -1 = 4*m - 2*s - 11. Let i = 12 + m. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6519, 12890, 18935, 24492, 29399, 33494, 36615, 38600?\nAnswer: 39287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*h + 1, -9 = -2*j - 0*h + 3*h. Suppose j*c - 794 = c. What are the prime factors of c?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*s - 3311 = -0*s, -2*s + 2 = 0. List the prime factors of x.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 7*k**2 + k - 7. Let x be r(7). Let s = -16 + 8. Let p(j) = -j**2 - 9*j - 10. Let f be p(s). Sort x, f, 2 in ascending order.\nAnswer: f, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -5, -1 in decreasing order.\nAnswer: 12, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2 + sqrt(700) + (sqrt(7) - sqrt(28)\/(sqrt(4) - sqrt(36))) + (sqrt(70) + sqrt(70) + sqrt(70)*-2*-4)\/sqrt(10))**2.\nAnswer: 48223\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 4*y + 2*y)*(-3*y**2 + 0*y**2 + y**2) - 2*y**2 + y**3 + y**2 + 0*y**2 + 3 to the form q*y**2 + b*y + n*y**3 + k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25160, 25160, 25150, 25124, 25076, 25000, 24890?\n\"Answer: -c**3 + c**2 + 4*c + 25156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 54 = -14*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m**3 - 4*m**2 - 4*m - 4. Let k(b) = 920*b**3 - 161*b**2 - 161*b - 161. Calculate -4*k(y) + 161*o(y).\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 875 = -38*j + 985, -2*j = -z - 6*z + 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 > 45467\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 4*t + 950. Let n = 130 - t. Suppose n = 2*u - 13. What is the greatest common factor of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -212*n - 1309. Let s(y) = -94*y - 654. What is -4*f(a) + 9*s(a)?\nAnswer: 2*a - 650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41cf35 (base 16) to base 13.\nAnswer: b80105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16\/7, -3, 2\/17, -28, -1\/7 in increasing order.\nAnswer: -28, -3, -1\/7, 2\/17, 2, 16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i, 0 = -0*z + 2*z - 4*i + 28. Suppose 10 = 5*s - 0*m + 5*m, -2*s - 3*m = 0. Suppose -w - s = -0*w. Is w at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 292 = -2*p. Suppose 0*n - x = 5*n + p, -n - x = 26. Let l = -11 - n. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(0*a**2 - 2 + 57*a - 59*a - a**2).\nAnswer: -4*a**2 - 8*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*v**2 - 120*v**2 + 26*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxh when three letters picked without replacement from mmlxllh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**4 - 8494*i**3 + i**2 - 7451?\nAnswer: 12*i**3 - 25482*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/13 (b) 3\/7 (c) 0.03 (d) -2\/3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o\/(o\/o**(2\/17))*o*o)))\/o*o*o\/o**(-17))**(2\/11) assuming o is positive.\nAnswer: o**(718\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16095635*w**5 + 155362*w + 35 wrt w?\nAnswer: -321912700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)*k)**(1\/11))**(2\/23)*k*k**1\/k*k**(-4)*k**(-2)*k*((k\/(k*k**(2\/3)))\/k)\/k*k assuming k is positive.\nAnswer: k**(-4291\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/7 + 9208820*m\/7 + 9208819\/7 = 0.\nAnswer: -9208819, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/30 - 7*g**3\/15 + 12*g**2\/5 - 85*g. Factor o(u).\nAnswer: 2*(u - 4)*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4470826872.\nAnswer: 2, 3, 17, 47, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 386744 and 12789?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + o + 3*o)*(-2 + 2 + 4) + 4*o - o - o to u + h*o and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8058352, 8058405, 8058496, 8058625, 8058792?\n\"Answer: 19*g**2 - 4*g + 8058337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 5. Let s be q(0). Sort -9, 3, s.\nAnswer: -9, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from {x: 1, j: 1, h: 10, w: 1, e: 2, p: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + -3 + sqrt(112)*-2 + -2)**2 + -4)*-5.\nAnswer: -6675 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 1.27735.\nAnswer: 0.97735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -55*t**2 + 3*t - 3. Let u be o(-3). Let p be (4\/(-18))\/((-30)\/u). Let g = p - -32\/9. Which is the smallest value? (a) -2\/7 (b) g (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1.892\nAnswer: 0.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*g = -2*g - 18, -4*g = -2*m + 2. Suppose -62 - 49 = -4*p - m*y, 0 = -2*p - 5*y + 43. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Suppose 2*l - r*l - 3*a + 17 = 0, -2*l = -4*a + 16. Let 2*j - l*j - j**3 + 2*j**2 + j - j**2 - 1 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 279*w - 296*w + 9010. What is the smallest common multiple of w and 583?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/(-4 + 9) + -2. Let z = -9 + c. Let j(i) = -10*i + 5. Let u(m) = -5*m + 3. What is z*j(h) - 5*u(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)\/(4\/(-116)). Let m = b + 58. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*a + i = -184*a, -3*a - 4*i = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, 2, -2, -1 in decreasing order.\nAnswer: 3, 2, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2111*d**4 - 2557. Let f(a) = 2112*a**4 + 2554. Let l(y) = 3*f(y) + 4*n(y). Find the first derivative of l(r) wrt r.\nAnswer: -8432*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9865, -9861, -9857, -9853, -9849, -9845?\nAnswer: -9841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 2, b: 2}. Give prob of sequence bpbd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 96 - (-9 + (-3 - 8))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*i - 14*i + 6*i)*(2 + 2 - 3) to h + y*i and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132021010 + -100?\nAnswer: -132021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 - 12*r - 23. Let v(a) = a**2 - 3*a - 1. Let o(z) = 2*l(z) - 18*v(z). Determine w so that o(w) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:42 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 34*a**2 + 4*a - 4. Suppose 5*i - 140 = 5*g, -4 = g + 3*g. Let h = -15 + i. What is the remainder when f(1) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-44)*((-6)\/(-7))\/(621\/322).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9456 less than -0.4?\nAnswer: -14.3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:47 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187215*c - 4*p = 187214*c + 4, -2*p = -4*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - -1.4. What is the closest to -1\/3 in u, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 74924.\nAnswer: 524468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1250 in 6, -17, 2\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 6. Let m be b(-4). Suppose -w = -137 + 27. What is the highest common divisor of w and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5248 = 8*r - 240. Suppose r = 9*h - 2275. What is the greatest common divisor of h and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.830037 - 0.730068. Let r = s - 6.1. What is r rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.07, 2\/27?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -9.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -3\/2, -321\/14, -6 in ascending order.\nAnswer: -321\/14, -6, -3\/2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45136 - 252*v**3 - 138*v**3 - 45136.\nAnswer: -390*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2822 + -2834. Let k(u) be the first derivative of u**3\/3 + 6*u**2 + 6*u - 1. What is k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -25. Solve -1 = -h - 4*h + m*r, -5 = h + 2*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 733?\nAnswer: 1\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -13 (b) 1 (c) -2\/7 (d) -4.2 (e) 4.6 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266290 + 4538544\/17. Let q = h + -683. Sort -0.4, -0.5, q in descending order.\nAnswer: q, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31891 (base 13) to base 16\nAnswer: -15d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 66. Solve -x - 3 = 0, -i*y + x + 23 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266469971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 + 14888*x**4 + 343358*x**3 + 925828*x**2 + 597360*x = 0. Calculate x.\nAnswer: -20, -2, -1, 0, 7467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 1666 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 1038857.\nAnswer: 1038851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 + 5 - (-36)\/(-18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 202976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/20*d**5 - 1\/12*d**4 + 5\/6*d**3 - d + 12 - 3\/2*d**2. What is y in x(y) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 707 and 4040?\nAnswer: 28280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1428 or -4282\/3?\nAnswer: -4282\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11104\/94164)\/(2\/3693). Let z = 32\/1121 - j. Let v = z - -217. What is the common denominator of 15\/8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 764 = 227. Suppose 11*k - 1220 - t = 0. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(3) + -3 + sqrt(3) + -2.\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -566, -865, -1184, -1529, -1906?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 13. Let r be f(7). Let y be 8 + 2499990 + r + 1. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-2\/17))\/s**(-1\/5)*s*s*s**3*s*s*s*s*s**(3\/5) assuming s is positive.\nAnswer: s**(993\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 11) to base 9.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*k - 236 = 0, -2*t = t + 4*k - 205. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgggbggggg. Give prob of picking 1 b and 3 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 116627879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*m + 15 + 0 = 0, -3*m = -4*l + 13. Let o(i) = -i**3 - 4*i**2 + 3*i - 5. Let z be o(-5). Let n = z - l. Solve -w - n - 3 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from guwazuzuwu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 + -76?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v**3 + 25. Let b(c) = -c**3. Let a(x) = 3*b(x) - m(x). What is the derivative of a(k) wrt k?\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-100)\/(-15) - 6)*3747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*w - 382, 2*l - 1222016*w + 1222020*w + 194 = 0 for l.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 46811292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 832305 and 45?\nAnswer: 2496915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (15 - (-29 - -24 - -16)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*c - 48, -3*c - 3278 + 3326 = 29*k for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500)*-2)**2 - (-4 + sqrt(500)*1)**2.\nAnswer: 80*sqrt(5) + 7484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -1 + (-201580)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1471 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b - 6. Let s(k) = -k**2 - 1. Let q(r) = 3*s(r) + u(r). Let f be q(-4). Solve f*v - 2*l = 1, 5*v - 6 = 3*v - 4*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 112 = 2*h + 3*f, -3*h = -f - 293. What is the least common multiple of 11 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/5280 and -131\/96.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -575*w - 40. Let m(c) = 82*c + 6. Give -20*m(r) - 3*q(r).\nAnswer: 85*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -118.6 and -0.363.\nAnswer: -118.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172241, -342952, -513663, -684374, -855085, -1025796?\nAnswer: -1196507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 5. Let f be c(2). Is f\/((-2)\/(-2616)*4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91927152 to the nearest integer?\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/180 and 19\/1716.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 14) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498376 is divided by 3894?\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-1 - 2) + 4 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - 2 - ((-84 - -56) + (2 - -12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/291110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3655, 7975, 12951, 18577, 24847, 31755?\nAnswer: 39295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*z + 10 + 2, 0 = -2*z + r - 4. Let s = 3.3 - -0.7. Let u = 4.2 - s. Which is the third biggest value? (a) -4 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277321 is divided by 11267?\nAnswer: 6913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/(884\/(-170)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:46 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 56*u - 61*u + c, 3*u - 4*c - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -110, -111, -112, -113, -114?\n\"Answer: -y - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 34 = 4*t, 33*u - 30*u = -3*t - 3. Solve 3*m - 2 = -u*p + 1, 4*m + 4 = -4*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((4 - 0) + -5 - 18) + (107 - 115).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 786*z**3 + 27585*z**2 - 29958*z - 56760 = 0.\nAnswer: -220, -43, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92540537 + 92540537 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79, 63, 47, 31, 15?\n\"Answer: -16*x + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034 is divided by 2023?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m - 3*a = -49*m + 64, -m = -2*a - 17 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 3. Suppose 3*l = 5*o - 6, 5*l - 3 = 2*o + 2*l. Let s be q(o). Suppose -4 + 10 = s*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + (-479 - -494)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/297)\/(2*-4*2\/(-144))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 52*b**2 + 89*b + 96. Let p(a) = -2*a**2 - 7*a + 2. Let n(x) = -7*p(x) - y(x). Determine n(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + 0)*-3 + -3)**2 - ((sqrt(77)*1 + sqrt(77) + sqrt(77) - sqrt(77))*1)\/(sqrt(1331)*-1).\nAnswer: 200*sqrt(7)\/11 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10528 - 10528 - 38*q. Let p(m) = m. What is p(n(a))?\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.993 + 0.007. Let z = 0.23 + -20.23. Let x = m + z. What is the third biggest value in x, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/8 + 2*l**3\/3 + 23*l**2\/2 - 22*l. Let q(c) be the first derivative of g(c). Let v be q(-4). Solve -9 - v = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.9. Let o = 35 - 30. Let n be ((-2)\/4)\/(1 - 0). Which is the nearest to n? (a) o (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 20220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -131. Put r, -19, 3, 5 in descending order.\nAnswer: 5, 3, r, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -187*s + 214. Let c be t(25). Let o be (-3)\/(-48)*71522\/(-1). Let z = o - c. Find the common denominator of z and -71\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -36*t + 3. Let o(q) = -q - 2. Let c(h) = -i(h) + 4*o(h). What is the hundreds digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 + 6*g + 8. Let h be v(5). What is the first derivative of -h - 4 - 141*x + 5 wrt x?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) -5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1926168 and 72.\nAnswer: 5778504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 + 2*l**2 - l. What is the remainder when 23 is divided by n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:53 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 456830 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*r**2 + 372*r**2 - 4*r + 4*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -393 + 902. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 10*g**2 - 4*g - 5. Let a be h(0). What is the second biggest value in -1.12, a, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166111157 + 1183043547383\/7122. Let d = 1\/1187 + a. Find the common denominator of d and -2 + 2 + 249\/(-30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199536132 rounded to 3 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216786.\nAnswer: 2, 3, 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - 0.4. Let p = 470.85 - 473. Let l = p - h. Round l to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 15. Let b(n) = n - 2. What is the smallest common multiple of 2 and b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from {d: 6, z: 1, w: 2, f: 1, r: 3}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Let g(n) = -13*n**2 - 18*n**2 + 17*n**2. Determine g(i(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1520 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, s: 3, u: 3, n: 8, w: 5}. Give prob of picking 1 s and 3 u.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 391*w + 105. Give b(-98).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16755 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**5 - 4*m**4 + 282*m**2.\nAnswer: -180*m**2 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.7, -3, 1, 8 in descending order.\nAnswer: 8, 1, -0.5, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(600)*-2 + sqrt(600) - sqrt(600)))\/(sqrt(144)\/sqrt(3)*3).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from hbvcvbvfvbvcwbwb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -g*j + 2 = -2. Let c = 5 - -1. Solve 19 = -5*f + i, -j*i + 20 = -c*f + 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 7*u**4\/3 - u**3\/2 - 4*u**2. Let h be q(2). Let o = -35 + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*h**3 + 420*h**2 - 617*h - 270503499?\nAnswer: -282*h**2 + 840*h - 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398045?\nAnswer: 5, 79609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71955*t + 4 + 7 + 71950*t to p*t + y and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/36*(-351)\/(-78)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4 - 396*z**3 - 1536*z**2 - 1520*z = 0 for z.\nAnswer: -95, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/3*r**3 + 1\/540*r**5 + 0*r**4 + 0*r + 4*r**2 + 1\/1620*r**6 + 0. Let o(w) be the first derivative of k(w). Factor o(f).\nAnswer: 2*f*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 284 = -0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20054 (base 12) to base 10.\nAnswer: 41536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from qoqooqyyooyqyyyoo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(1 - (-9)\/(-6)). Let n be 2\/(-3) - (-4)\/f. Let u be 3 + 7 - (1 - 0). Solve n*x - u = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -56\/9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61172948939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + w + 0*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvv when four letters picked without replacement from {v: 3, e: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 4*k. Let r be (-8)\/(-28) + 24\/14. Let d be g(r). Suppose p + d*p = 0. Which is smaller: 3\/16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10405 * 0.044\nAnswer: 457.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 508, 1, -3, -58 in decreasing order.\nAnswer: 508, 69, 1, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329.02 + -0.02. Let y = v + -756. Let p = y - -426.9789. Round p to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10220020 (base 3) to base 6\nAnswer: 21053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -9*i**5\/4 - 3*i**4\/2 + 23*i**3 - 26*i**2 + 8*i = 0.\nAnswer: -4, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 - 6*f + f + 2 + 4*f. Let b be t(-2). Solve 13 = -2*p + p + b*h, -4*h + 19 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g = -28. Let k = g + -10. Sort -4, k, -0.2 in decreasing order.\nAnswer: k, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -59, -76, -93, -110, -127?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-40))\/(2\/4). Suppose 3*z + 7 = -8. Which is the second smallest value? (a) -2\/15 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*k**5 - 279*k**4 - 212*k**3 + 132*k**2 - 16*k.\nAnswer: k*(k - 4)*(k + 1)*(9*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.239422 months to decades.\nAnswer: 0.06866185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12266246 is divided by 2134?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) + (3*(sqrt(2) + -5 + sqrt(2)))**2.\nAnswer: -176*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12663*w + 3213 = 12714*w for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2. Suppose -n - 6 = -3*n. Let k(w) be the third derivative of 2*w**2 + 0 - 1\/24*w**4 + 0*w + 0*w**n. Determine k(z(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*j**3 + 1\/2*j**5 + 5*j**2 - 36 + 0*j**4 + 30*j.\nAnswer: (j - 2)**3*(j + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -76, -485, -5 in decreasing order.\nAnswer: -4, -5, -10, -76, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1218 = -5*g - 1502. What is the units digit of (g\/24)\/((-2)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-89)\/(-3) + 1\/3. Let d be (3\/4)\/(k\/20). Which is the biggest value? (a) d (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102\/(-280))\/17)\/((-1200)\/(-2400))?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 29*b**3\/4 + 56*b**2 - 49*b.\nAnswer: b*(b - 14)**2*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1108*c**4 - 11*c**3 + 30*c - 58293115 wrt c.\nAnswer: -4432*c**3 - 33*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3108 - -3108. Which is the closest to l? (a) 2\/23 (b) -0.02 (c) 8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5891\/7 - -324439\/385. Let d = n + -8\/11. Solve d*t**2 + 0 - 2\/5*t = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = 0. Suppose p - 12 = 2*o. Is (-174)\/o - (0 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 249*y - 3548. Calculate a(14).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(9 + -11). What is the tens digit of 1 + 15\/c - -61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/(3\/20*4)*(-38160)\/240\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -18, 1, 13 in increasing order.\nAnswer: -18, 1, 13, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/1 - 1) + -2. Suppose -2*a = -2*f + 34, a = -5*f - 9 - 2. Let n = a + 30. Solve 2*y = -z*v - 8, 0 = -5*v - 1 - n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2509\/2 + -1255. Let f = 7 + 0. Let j = f + -7.6. Which is the third smallest value? (a) 3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:09 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -25*t**2 - 5*t + 1040. Let j be l(116). What is j rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 + 9*c - 15. Let a be l(6). What is the greatest common factor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4211, -32991, -110577, -261203, -509103, -878511?\nAnswer: -1393661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2892.658 + -2.342. What is the closest to -1 in u, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 9*m - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43797 - -0.06203. Which is the second smallest value? (a) 0.1872 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 4, u: 3, t: 2, i: 2, h: 2}. What is prob of picking 1 h and 2 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 152294428 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1736*m**2 - 3. Let o be k(-6). Suppose s + o + 40507 = 0. Round s to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(i - 1 + 1)*(-1570*i + 1570*i - 101*i**2) to v + j*i**2 + x*i + l*i**3 and give l.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 16*h - 7. Calculate b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:45 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2\/7)*b**7 assuming b is positive.\nAnswer: b**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43900476077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*j + 15. Suppose j*i = -3*i + 162. What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398390 to the power of 1\/2, to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/6*(-12)\/9*1. What are the prime factors of (-70)\/(-11 - s)*29?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 3*u - 23. Let t(l) = l**2 - 5*l - 27. Let k(h) = 3*m(h) - 2*t(h). What is k(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 3*sqrt(252)).\nAnswer: -18*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = 2*o - 9, -3*g = -o + 5. Let z(j) = -3*j**2 - 9*j + 5 + o*j**2 - 3. Let i be z(-8). Solve 5*y = i, u - 1 = -0*u + 2*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*y + 3115, 2*y - 940 = -4*b + 330. Calculate the remainder when y is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 32 = 77. Let m = -3.61 - -3.61. Let d = -4 + 6. What is the closest to m in a, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -208*k. Let a(m) be the third derivative of 4*m + 1\/12*m**4 + 0*m**3 + 0 + 17*m**2. Calculate g(a(l)).\nAnswer: -416*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 19*b - 1. Let k(w) = -w + 11. Let n be k(3). Let a be z(n). Is a at most 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5147377572 to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:22 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 23. Let q(r) = -2450*r**2 + 2590*r + 184. Let t(b) = 8*h(b) - q(b). Find the second derivative of t(a) wrt a.\nAnswer: 4900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -4*u + 3*u, 3*u - 15 = -2*b. Solve 3*p - 3*r = 27, -2*p + 13 = -5*p - u*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -288\/35 and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16818 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z - 1\/150*z**6 - 1\/525*z**7 + z**2 + 1\/30*z**4 + 0 + 1\/15*z**3 + 0*z**5. Factor m(k).\nAnswer: -2*(k - 1)*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1378*g**4*u - 8*g**4 - g**3*u - 198*g**2 - 20*g*u - 2*u - 1 wrt g?\nAnswer: -33072*g*u - 192*g - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 - 157 = 2*p - 4*d, 5*p - 4*d + 24 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 2*r + 1. Let h = 13 + -8. Let w(u) = -45 + 11*u**2 + h*u + 43 - 2*u + 2*u. Determine 8*f(z) + 3*w(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195659, -391320, -586981, -782642?\nAnswer: -978303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 15 - 0. Suppose 0 = c - l*c + 4. Let a be c\/(-1 + (-9)\/(-6)). Solve -2 = -a*q - 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -33, -87, -163, -261, -381, -523?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 839 - 837. Let q(m) be the first derivative of 0*m**u + 0*m + 1\/2*m**4 + 0*m**5 + 0*m**3 - 1\/3*m**6 + 4. Factor q(p).\nAnswer: -2*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 + 9*a**2 - 14*a + 3. Let l(s) = -3*s**2 - s - 1. Calculate 3*l(y) + x(y).\nAnswer: -7*y**3 - 17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let m(q) = -12*q**2 + 25*q. Let x(y) = 5*i(y) + m(y). Find the second derivative of x(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/81*(-3)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - 26. Let j = y + 47. Which is the second smallest value? (a) 0.1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.11 - 3.61. What is the closest to -0.1 in -0.4, -13, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:19 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 20172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r**2 - 2*r + 2. Give c(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from yejvh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6490 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*p - 5*p + 182*p + 20*p + 7325 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29277+-18\nAnswer: -29295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5da - -b?\nAnswer: -5cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 345401?\nAnswer: -3108609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/((h*h**(1\/2))\/h))\/((h\/h**11)\/h**12))**(-37) assuming h is positive.\nAnswer: h**(-11285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 - -5?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, o: 1, j: 5, l: 1, q: 3}. Give prob of picking 1 l and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 - 2*l**3 + 2*l**2 + 12 + 4*l**3 - l**3 - l. Let f be s(8). Suppose 0 = -f*i + 1 + 7. Solve -4*u + d = 3*d, i*u - 8 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 3*x + 10. What is the least common multiple of 93 and a(-2)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2. Let f(z) = -48316*z. Determine f(o(c)).\nAnswer: 144948*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 v when four letters picked without replacement from vvvqq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 0.0171617.\nAnswer: -0.9828383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a millimeter in micrometers?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -303 (c) -14\/13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - l**2 + (1 + 5 - 3)*(184*l**2 + 108*l**2 - 195*l**2) + 3*l - 2*l**2 - 3*l in the form q*l**2 + s + k*l and give q.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/264 and -39\/2.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2263604 (base 12) to base 3\nAnswer: -110102022122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -380*z + 9514. Let o be h(25). Let c(f) = f**2 - 12*f + 7. Determine c(o).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/21)\/((-2)\/(-21)). Let w = b + -23. What is the closest to -3 in 2, w, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89451585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1777\/37449 or 0?\nAnswer: -1777\/37449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - 76\/(-12). What is the greatest common factor of s and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 + 378*x**2 - 423*x - 60. Is 11 a factor of r(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 6) to base 4.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 5, 0.05, 2\/11, 0.1 in descending order.\nAnswer: 5, 0.9, 2\/11, 0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 8.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 5 = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33373 is divided by 956?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a5009 (base 12) to base 15.\nAnswer: 1dc999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 12. Let l be w(-8). Let v be 25 + 3\/(-1) - l. Let n = v + 2. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2767\/35 + -396\/5. What is the common denominator of j and (1\/4)\/(8\/(-76))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 115 - 115 + 323*v. Let m(i) = -2*i**2 + 15*i + 3. Let h(a) = 2*a**2 - 10*a - 2. Let d(b) = 3*h(b) + 2*m(b). Give d(f(n)).\nAnswer: 208658*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-2)\/(-24)*(-6)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/220191 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1527, 3082, 4625, 6150, 7651, 9122?\n\"Answer: -i**3 + 1562*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 218. Let h be b(0). Suppose -4*d - 3*a + h = 0, 3*d - d - 108 = -a. Suppose 16 + d = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*c - p + 24, 5*p = -2*c + 24. Let z be (-111)\/39 - -2*4\/(-52). Let i be z*8\/c*-67000. What is i rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-14)\/35)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from uguizxt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygggaggggaggggggc. Give prob of sequence ggag.\nAnswer: 143\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 78\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(270)*6)\/(-4*sqrt(144) + sqrt(9)))\/(sqrt(120)\/sqrt(108) + sqrt(10) + (sqrt(160) - 3*sqrt(160))).\nAnswer: 3*sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppip when four letters picked without replacement from {i: 3, p: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 36 - 3*g**4 + 31)*(-2 - 1 + 19*g - 17*g).\nAnswer: -4*g**5 + 6*g**4 - 10*g + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 121, 273, 487, 763, 1101?\n\"Answer: 31*v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3069657 and 243.\nAnswer: 9208971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -14*i**4\/5 - 6*i**3\/5 + 36*i**2\/5 - 16*i\/5 = 0.\nAnswer: -2, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = -x - 0*x, x + 3 = 5*p. Suppose -x*l - 3 = -3*l. Find k, given that -2*k**l - 6*k + 6*k + 2*k**2 + 0*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*g + 122, -m + 2*g = -0*g - 37. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 0, 231*v - 229*v = -2*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, 104\/27, 25, -8 in descending order.\nAnswer: 25, 104\/27, 2.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75567 to two decimal places.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1486304 to the nearest 1000.\nAnswer: 1486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 7*i**2 - 15*i + 57. Let z be p(6). Solve -r - 36*d = -41*d - 25, -z*r + 3*d + 27 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:00 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37460 - 34964. What is the lowest common multiple of 256 and o?\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40600 divided by -116.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 - 502. Suppose -2*x = -n - 54. What is the highest common factor of x and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -1497, -3883, -7365, -11931, -17569?\nAnswer: -24267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.04, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 - 106*u - 108 = 0.\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16631 + 25968. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 321 - 181 = 5*h, -2*h - 13*z - 394 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolooll. What is prob of picking 2 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 - 53097607*h**2 + 53097607*h**2.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8.4. Let f = -323 + 4197\/13. Let w = 9 - 8. What is the biggest value in n, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z + 9. Let g be m(5). Let a be (-2576)\/1295 - g\/3. Let w = 5878\/3885 + a. What is the common denominator of -17\/39 and w?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -7, -9, 1, 29?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62787 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2718 - 1?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143576341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 782296*p - 781851*p + 1 - 4.\nAnswer: 445*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + (-24)\/10. Let f be 1 + (3 - (-848)\/(-280))*-7. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888871?\nAnswer: 888871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 11 = -3*c, 0 = 3*c + 5*n - 31. Let h be 5 - 2 - -2 - c. Let u(m) = m**2 - 6*m + 1. What is u(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 43. Let r be 693\/108*2 - (-1)\/6. Let n be z(r). Sort 5, -8, 10, n in decreasing order.\nAnswer: 10, 5, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/7*-8*6\/(-24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0. Let a = 180 - 179.61. Let m = a + p. What is the closest to 0 in 3, -4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k**3 - 25*k**3 - k**2 - 28*k**3 - 1 to g*k + p + z*k**2 + r*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/4)\/(a*a*(a**6\/a)\/a)*(a\/((a**(-1\/3)*a)\/a))\/(a*a**(-4)*a*a) assuming a is positive.\nAnswer: a**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + m**2 - m + 2. Let b(q) = -10014*q**3 - q**2 - 98*q - 6. Let z(r) = b(r) + 3*h(r). What is the third derivative of z(a) wrt a?\nAnswer: -60048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 - 4797584*r\/3 - 5754203059264\/3 = 0. Calculate r.\nAnswer: -2398792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/9 + 1634*b\/9 - 1640\/3 = 0. Calculate b.\nAnswer: -820, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 2.2. Let u = w + 2.6. Sort u, 0.2, -3 in ascending order.\nAnswer: -3, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 17*b - 23. Let f be p(-15). Suppose -4*u + 5*u - f = 0. What is the remainder when 19 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 17 = 3*p, -2*p + 2*h - 22 = 6*h. Which is the biggest value? (a) p (b) 0.014 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 + -1 + 4 - 6 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/13)*q**(-15) assuming q is positive.\nAnswer: q**(-193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33749 = -345*m + 24089 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0\/(-1)) + 2. Suppose f*a - 11 = 3*c, 4*c + 2 - 6 = -4*a. Suppose -a*v = -v. Sort v, 3, 5.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6))\/((-3)\/8) + -2. What is the smallest value in 3, -0.13, z, 0.5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*i + 19278, -31*i + 27*i = 3*s - 14471. List the prime factors of s.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 545112?\nAnswer: 545065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*d + 6181 - 646 = -62*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Solve 3*r + 0*r = 2*t - 15, 0 = 3*t - w*r - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2855*g*s**2 - 2422740*g - 70*s**2 - 3*s wrt s?\nAnswer: 5710*g*s - 140*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 147*n - 4206. What is c(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1125 or 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 366 * 7.\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1325471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-460)\/(-414))\/((-1)\/9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5 + 3. Let v be (-144)\/(-66) - (-3)\/((-66)\/a). Solve -v = 2*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 176*w**3\/3 + 4*w - 11. Let x(l) = 2*l. Calculate y(x(h)).\nAnswer: 704*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-18) + 1\/((-1323)\/(-1659)) + 1296\/42.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 0 + 6 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/1 + (-5 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49239?\nAnswer: 3, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17048 divided by -6?\nAnswer: 8524\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 119484?\nAnswer: 1\/9957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 3:26 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/7 + 12662*k\/7 + 922032\/7 = 0. What is k?\nAnswer: -72, 6403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 56. Give v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597786 is divided by 2586?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:29 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 - 10 = 0. Let l = 16 + g. Suppose -4*o + 1 = -l, 0 = -4*a + 4*o + 52. Solve -3*q - q + a = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7847 + 7855 - 19*h - 23554 + 7852.\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 12*g - 10. Suppose -2*b = -22 + 2. What is the units digit of a(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7578.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*v**4 - 2*v**3 - 68*v - 2 wrt v?\nAnswer: -768*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188336149?\nAnswer: 17, 149, 74353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -418100 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 37. Suppose -p + 5 = -t - 0, -15 = -i*p - 3*t. Solve 0 = n + 4*b + p, 4*b - 2 = 5*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145910 divided by -10?\nAnswer: 14591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/156 and -49\/429?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 8*l + 6. Let v be r(-5). Suppose v*c = -3*c + 3212. Calculate the remainder when 218 is divided by c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68762.\nAnswer: 2, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(86\/(-1935)). Suppose 4977 - 357 = k*u. Is 44 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1375)*2 + sqrt(1375))*6)\/(-1*(sqrt(539) + (-6*(sqrt(539) + (sqrt(539) - -1*sqrt(539))) - sqrt(539)))).\nAnswer: -5*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*g = 3*h - 27, -h - 3 = 2*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2*z = 3*t + 124, 4*t = 3*z + 188. What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkqlkkqkkkqkkljkkw?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoohooho. What is prob of sequence hhoo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 9*h - 40. Let p be j(7). Let v be 174\/29 - (-22)\/p. Factor -v*g**2 - 4\/5 + 2*g + 2\/5*g**3.\nAnswer: 2*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*g = 1128*g - 17371 + 6595. Factor 1\/2*y**4 - g*y + y**3 + 18 - 11\/2*y**2.\nAnswer: (y - 2)**2*(y + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347\/113 != 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.132 and 196260.\nAnswer: 25906.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 5*r**2 + 7*r - 1. Let s be x(6). Let o be 104\/4 + 1008\/(-48). Solve -2*k = -s*f - 0*k - 23, -o*f - k = 26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 4 + 4 + f - 4*f + 2*f + (-2 + 2 - 2)*(1 - 1 + 4*f) + (-1 - 2 + 4)*(-2*f - 2*f + 5*f) + 6*f + 0*f + 0*f to the form k*f + p and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + z**2 - 13*z**2 + 11*z**2 - 32 + 33 - 2*z. Let m(u) = -8*u**2 + 6*u + 1. Give -m(r) + 6*o(r).\nAnswer: 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2580, 2579, 2578, 2577?\n\"Answer: -n + 2581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-52)\/(-65)*390\/30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 83*i + 798. What is o(-9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 35961, 2, -333 in decreasing order.\nAnswer: 35961, 2, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19469? (a) 78\/11 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2074 - 0.1529770482?\nAnswer: 0.0544229518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 24*m - 298. Let x be g(33). Which is greater: x or 4\/2083?\nAnswer: 4\/2083","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3 - 513*m**2*u - 3*m*u + 71*m + 3*u wrt m.\nAnswer: 6*m - 1026*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*s + 11, -18 = -3*f - f + s. Suppose f*d + 54 = -231. Let b = 88 + d. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13268 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18518003, 18517994, 18517985?\n\"Answer: -9*d + 18518012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 205. Let a = 2 - 2.5. What is the nearest to k in 2\/3, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571344279 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -94*g - 1121. Let v be q(-12). Let u = 40 - -9. Let f = v + u. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1272 + 2709. What is the remainder when j is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289.683 - -290. Let o = -0.3 + r. Let t = 0.0236 - o. Round t to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11716 - 5117. What are the prime factors of b?\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kekekekkrke. Give prob of picking 1 r, 1 e, and 2 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 180 = -26*j + 9 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -594*f**2*q**2 - 738*f**2*q*z - 8*f**2*q - 2*f**2*z - 4914*f*q**2*z**3 - 3*f*q*z**3 + 4*f*q*z - 2*q*z**2 wrt q?\nAnswer: -1188*f**2 - 9828*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 12. Let g(i) = -2*i**2 + 24. Calculate -4*g(l) - 7*h(l).\nAnswer: l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 2 - 2)*(-2*s**2 - 2*s**2 + 2*s**2) - 4*s**3 + 2*s**3 + 3*s**3 + 944*s - 338*s**3 - 944*s as c*s**2 + o + v*s + l*s**3 and give l.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u - 42. Let w = u + -17. Let v = w - 24. What is the nearest to v in -3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.412 plus -5953740?\nAnswer: -5953738.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20 = -24. Suppose -2*r = 3*v + i*r - 544, v - 2*r = 188. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 13) to base 3\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/12*-3 - (-68 - -61). Solve 0 = -y + 4*d - 3 - 4, 3*y = -d + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3887 = 3*v + 3923, 2*v + 69 = 3*i. Let m(p) = 30*p**3 + 1. Calculate the remainder when m(2) is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 12:18 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -62, -17, 28, 73, 118?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 44764 = 44890 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m + 0*m + (300*m + 230*m + 109*m + 149*m)*(m - m + 3*m).\nAnswer: 2365*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - b, -4*p = 2*b - 13 - 3. Let v be (-2)\/(-6) - (-2)\/(-6). What is the second derivative of 0*s**2 + s**p - 7*s**2 + 8*s + v*s**2 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49013451, -49013448, -49013443, -49013436, -49013427, -49013416?\n\"Answer: s**2 - 49013452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 at least -20907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (178\/(-356))\/(5\/(-16))*-5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**4 + 482*a**2 - 2*a - 496*a**2 + 3*a**4 - 4 wrt a?\nAnswer: -36*a**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 1238*q + 78127. Let g(h) = 8*h**2 + 1232*h + 78128. Let a(s) = 2*g(s) - 3*p(s). Factor a(o).\nAnswer: -5*(o + 125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -762.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -o - 20818 - 15240, -2*o - 72108 = -2*h. Let g = 9156 + o. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/(-20)*(-4)\/6. Solve 5*f + s - 1 = n, -3 = 2*f + 5*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 0.25. Let g = -0.4 - k. Sort g, 1, -0.1.\nAnswer: g, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 20337198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*t - 3)*(-2*t**3 + 2*t**3 - 2*t**3) + (3*t + 0*t - 2*t)*(-t**3 + 0*t**3 + 2*t**3).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**6\/240 + 29*b**5\/80 + 841*b**4\/96 + b + 8. Determine r so that h(r) = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 93\/5)*((-325)\/(-10))\/13. Which is the closest to -3? (a) x (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.057, -13\/3, -1\/6, -0.5, -204?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -9591.\nAnswer: 5\/9591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7 = 5*u, -2*u + 2 = b + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*c - 2*c + 15, -4 = 2*n + 5*c. Solve -3\/7*x**n + 0 + 0*x + 1\/7*x**4 + 2\/7*x**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**7\/840 + j**6\/180 - j**3 - 4. Let t(f) be the third derivative of i(f). Find the third derivative of t(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 83*r**7\/210 - 105*r**3\/2 + 66*r**2 - r. What is the first derivative of i(u) wrt u?\nAnswer: 332*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - t)*(3*t**2 + t**2 - 6*t**2)*(-479 + 479 + 29*t).\nAnswer: 58*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*u + 29 + 35, -4*u + 2*h + 62 = 0. Let o(d) = 23*d - u*d + 6*d. Let g(z) = 2 - 2 - 37*z**2 + 34*z**2. What is g(o(v))?\nAnswer: -363*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97653541 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 = -30*p + 760 - 462 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808251185?\nAnswer: 5, 7, 1993, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (1*1*sqrt(171) + sqrt(171))) + sqrt(171))\/(sqrt(9) - (sqrt(18)\/(sqrt(14)\/sqrt(7)) + sqrt(9) + sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 12 + (-36 - -19) + 19 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 - 144\/((-504)\/(-28)). Which is the second smallest value? (a) 11\/4 (b) -5 (c) m (d) 1\/8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25447879*b**3*g**2 - b**3 - 84*b**2*g**2 - 10*b**2 - 355*b - 9*g**2 wrt b.\nAnswer: 152687274*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpdl when four letters picked without replacement from {l: 1, d: 9, p: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-12)\/((-36)\/3)*-6*(-18)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*2*(-1)\/4. Suppose 0 = y + 2, x = -3*d - 3*y - y - 38. Let k = d - -16. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 253. Suppose -22*d + 728 = -168 - 1964. Are d and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509914088 to the nearest integer?\nAnswer: 22581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = y - 6*n - 3415, 4*n = 24. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 6*d**2 + 9*d - 2. Let m(a) = -4*a**3 + 12*a**2 - 10*a + 3. Let u(j) = 3*l(j) + 2*m(j). Let v = -191 - -189. Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**4*m + 53*l*m**3 + 2*m**3 - 99 wrt l?\nAnswer: -8*l**3*m + 53*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 5, y: 1, q: 2, h: 5, m: 2}. What is prob of picking 2 m and 1 h?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -169665*h + 84831*h + 84832*h - 595*h**2 in the form v*h**2 + g*h + a and give v.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from etteetteteete.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 4. Let a(i) = 1 - 7 + 17 - 15*i. Give -6*a(n) + 17*l(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:10 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 7. Let x be f(0). Sort 4, x, -3, 3 in ascending order.\nAnswer: x, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123326043 (base 7) in base 13?\nAnswer: 180b4b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4823 + 15*z**2 + 38*z**3 - 4823 wrt z?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233031002 (base 4) in base 2?\nAnswer: -11101111001101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 4*u + 2*u**5 + 2*u + (0 - u + 0)*(-3*u**4 - 3*u**3 + 3*u**3) + 0*u**3 - 2*u**5 + 0*u**3 + (-2*u**2 + 3 - 3)*(3*u**3 - 2*u**3 + u**3).\nAnswer: -u**5 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0942 + -3.7758. Let m = -3.870000326 - s. Round m to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -4*w**2 + 0 + w**3 + 0*w**4 + 0*w + 0*w**5 + 1\/20*w**6. Differentiate j(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2\/5, -1, 421, -0.23, 3\/14?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 809.101602 to one decimal place.\nAnswer: 809.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 56*l = -16*l - 115. Suppose -3*q + 2*z + 15 = 6*z, 6 = -q - 5*z. Solve 4*n = -q + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j**2 - 115*j - 4. Let v(m) = 64*m**2 - 343*m - 11. Let u(x) = -11*c(x) + 4*v(x). Find the second derivative of u(n) wrt n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*o - 185*o + 116*o = 3792 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - b31?\nAnswer: -b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (128 + -127)*9\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.8 - 51. Let m = k - 0.3. Let v = 4 + m. What is the third biggest value in 0.09, -0.2, -2\/21, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282.2 + -258. Let i = p - 24. Let l = 6 + -5.7. What is the second smallest value in l, 2, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 + 2*y**2 - 3*y + y)*(0*y**2 + 0*y**2 - 2*y**2).\nAnswer: -20*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -516.582837.\nAnswer: -516.082837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.53983 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.85 + 0.15. Let r = 24 - f. Let j = -6.99999948 - r. Round j to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(-1 + sqrt(2)*-1 + -2) + (sqrt(242) + (sqrt(242) + sqrt(242)*-2 - sqrt(242)))*6 + 1)**2.\nAnswer: -8038 + 1260*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 - 2 = 0. Suppose -2*a - 3*u + 4 = 0, -a + b*u + 2 = -u. What is the third derivative of p**3 + 4*p**2 - 3*p**2 - 2*p**a wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-126) - (-697)\/238. What is the biggest value in -1\/4, 4\/265, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let n = -1.1 + j. Let d = 142\/7 + -20. What is the closest to n in -3\/8, -2, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6564 and 20.\nAnswer: 32820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 43 + 207. Suppose -3*g + 36 = x - 26, -2*g - x + o = 0. Suppose 3*s - 4*l = 14, -2*s + 6*l = l - g. Which is smaller: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38347*p = 38280*p + 4050 - 566 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/57651 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/3, -0.2, -2\/312505, -0.3, 4, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41655 = 5077*w - 268042 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8988 divided by 1?\nAnswer: 8988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 3, b: 2, p: 2, h: 2, s: 1}. What is prob of picking 1 h, 2 b, and 1 p?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1204050*q*x**4 + 209*q - 75*x wrt x.\nAnswer: -14448600*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8820420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l. Let h(k) = -28254*k + 5. Give h(t(a)).\nAnswer: -282540*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/4 (c) -3\/5 (d) -1555\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-777)\/(-49) + -16)*((2 - 3) + 3). Which is the nearest to -1? (a) u (b) 0.2 (c) 2\/17 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116736 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(931)*-2*6)**2.\nAnswer: -336*sqrt(19) + 134068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 0 + -4 + (299 - 286)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbmstosmomf. What is prob of picking 1 t, 1 b, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-3 - s + 3) + (1 - 2 + 3)*(2*s - 2*s - 2*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.2, -558, 0.2.\nAnswer: -558, -9, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935 = 101*q + 1642 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1 + (5 - 114). Let t = 398 - 599. Let d = c - t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537842.\nAnswer: 2, 268921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:56 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2 + (-45)\/(-27)). What is the nearest to -0.1 in -2\/3, -1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 77661*q**3 + 503106993*q**2 + 6527272791*q.\nAnswer: 3*q*(q + 13)*(q + 12937)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 1:11 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from kkvvvvvvnnzkn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -38. Suppose 0 = -h*z + 127 - 52. What is the nearest to z in -0.4, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75) + sqrt(3)) - sqrt(1029)\/sqrt(7).\nAnswer: -43*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4800430.\nAnswer: 2, 5, 480043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*n**4*z + 122*n**3*z + 2*n**2*z - 46101*z wrt n?\nAnswer: 7656*n*z + 732*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -4?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2860\/2002)\/((-5)\/(-14)). Solve x*h + 41 = 21*j - 16*j, 0 = 3*j - 2*h - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-77) - (-3436)\/22. Let n = x + -154. Solve 0 = 3*w + n + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 + 156 + (-6 - 36)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1233 - -0.123447. What is v rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -344, -322, -300, -278?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = -1. Let f = 14 + 16. Suppose 2*c + f = 4*j, -w*j = -4*j - 4*c - 6. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.36, 324 in decreasing order.\nAnswer: 324, 0.36, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-154) - (-5154)\/14. Suppose -4*z + 12*z - m = 0. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)\/(3 + -4). Suppose v = 4*t - 16. Suppose 4*k = -2*g + 2*k + 18, t*k - 47 = -5*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztt when three letters picked without replacement from zbbcttcbzbzbtttbttt.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29.22176nm?\nAnswer: 0.00002922176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*y**3 + 3 - 3 - 78*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23)\/d)**(-37)\/(d**(1\/4)\/(d*(d\/(d\/((d**(-18)\/d)\/d)*d))\/d)) assuming d is positive.\nAnswer: d**(1153\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 56 = -176. Let y be 372\/(-42) + 4 - k. Which is greater: -0.4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 179976*c = -179979*c + 71, -5*s - c = -41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Find b such that -b**2 - 3*b**3 + 3*b**3 - b**5 - 2*b + 7*b**3 - 4*b + b**i = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(13\/(-13)) - 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 + 8 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*h**3\/7 - 34920*h**2\/7 - 70773*h\/7 - 1490\/7.\nAnswer: (h - 745)*(h + 2)*(47*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-16) + (-170)\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*u = -78, 6*u + 47 = 2*m + 3*u. What is the lowest common multiple of 36 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-6) + (-22)\/33. Let v be 15*((-156)\/(-15) - w). What is the highest common factor of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 24. Let v = h - -3.1. What is the third smallest value in 2, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/3 - 59*x**4\/3 - 11*x**3 + 1475*x**2\/3 + 1450*x\/3 = 0.\nAnswer: -58, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*q = -2, 2*p - 16*q + 11*q - 19 = 0. Let s be -2*2*(-9)\/6. Solve -2*m + y = -5, -p*m + s*m - 4 = 4*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060397 to 3 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 21*j**2 + 3*j + 15. Let y(p) = p**3 + 10*p**2 - p - 7. Let g(v) = -2*h(v) - 5*y(v). Determine g(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r**(10\/3)*r))\/r)**19)**(-1\/38) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -17, 18, 87, 196, 351?\n\"Answer: h**3 + 8*h**2 - 24*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 11*i**2 - 25*i - 27. Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.27 + -0.03. Let g = y + 2.3006. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410 by 82.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 - -276. Solve -9*t = -17*t + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1. Let f(y) = -132*y - 66. Determine f(b) - 66*k(b).\nAnswer: -132*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = -p + 4*r, -1 = -p - 5*r. Suppose 5*f - 4 = p. Suppose -f*b - 6 = -4*y - 3*b, 3*y = 4*b - 5. What is the least common multiple of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 16503515?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from kgggdgdggggk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*4*(2*sqrt(1700)*4 - 2*(sqrt(1700) + 1) - ((sqrt(1700) + -1)*5 - (-2 + sqrt(1700) + 1 - sqrt(1700)))))**2.\nAnswer: 5760*sqrt(17) + 245376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59141574 rounded to four decimal places?\nAnswer: -1.5914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134000 (base 6) to base 4.\nAnswer: -3003300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 47, 0, -10, 159 in decreasing order.\nAnswer: 159, 47, 2, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4 + (-6)\/24)\/(-2). Suppose 5*v + 61 + 39 = u. Is v greater than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y - 5. Let q be t(1). Suppose -506 + 1704 = q*i. What are the prime factors of i?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 not equal to -0.108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -532*n**3*p - 147*n**3 + 3*n*p*v + v wrt p?\nAnswer: -532*n**3 + 3*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 33240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g + 35. Suppose -3*u + 3 = -9. What is the greatest common divisor of g and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 77*b + 695. Let n be (12\/(6\/3) + -15)\/(22 - 21). Determine s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2625 divide 25507125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, -15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -579*c**2 - 757*c**2 + 1 - 4 in the form p*c**2 + h*c + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 10*p + 12*p + 1.\nAnswer: -10*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*3\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 10. Let m be h\/(-6) + 4 - 10. Let t = -142\/15 - m. What is the second biggest value in t, -2\/63, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68126*a - 68127*a - 3*a**2 + 4 - a**3 - 4 + 0 to t*a + r*a**3 + w*a**2 + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16)\/(30\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, h: 2}. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 20*k - 49. Let h be n(17). Let u = 10.67 + 1.33. Which is the second smallest value? (a) h (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 - 521 - 527 + 1325 - 923 in the form m*w**2 + g*w + c and give c.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -57. What is the least common multiple of 21\/4 - (-3)\/4 and (-99)\/22*m\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1 + -9?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and 8752402.\nAnswer: 8752429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1752\/17077 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/15 - 2*g**2. Let x be (6 - 8) + 1*8. Let o(q) = 0*q + 6 - 2*q - x. Determine o(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20199 - 16559. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-3 - -2)*3. Sort i, 4, 5.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16dcc0 (base 14) to base 16\nAnswer: c4e70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 - o - 1. Let i be d(-4). Let m be i\/4 + (-2)\/(-8). Let h = -5 + m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*h**2 + 108*h**2 + 107*h**2 - 324*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:53 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16 - 12 + 66 + 10*r - 23 - 10. Let q(y) = 2*y + 1. Calculate 11*q(i) - 2*s(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -38. Suppose 0 = 2*z - 4, -m = 4*i + z - 62. Calculate the lowest common multiple of i and 5\/((-2)\/(-1*2)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**4 - 6 + 6)*(-2 + 11 + 15) + (3*x**4 - 2*x**4 + x**4)*(3 + 3 - 3) - 5*x**4 - 2*x**4 - 3*x**4.\nAnswer: 116*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -61 - (-10 - -1 - ((6 - 12) + -7)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 381\/4 + -96. Sort -0.2, 5, i, -18\/7, 2\/9 in descending order.\nAnswer: 5, 2\/9, -0.2, i, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491151.\nAnswer: 13, 191627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*l + 24, -2*n = 3*l + 23 - 7. Let c = -217\/1495 - 1\/115. Sort 5, c, n.\nAnswer: n, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2153 - (1 - 5)\/4. Let v = m - 2152. Find r, given that 2\/21*r**v + 0*r + 4\/21*r**3 + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2714059 is divided by 2210.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -233, -232, -231, -230, -229, -228?\n\"Answer: s - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.79 + 1.03. Let c = d + -10.819489. Round c to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5322497878.\nAnswer: 2, 37, 71925647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 17901\nAnswer: 70\/17901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -2 - 7)\/(-1). List the prime factors of 20\/3 + (-6)\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 4:01 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -367980661 less than or equal to -367980660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2381662 + 1047932029\/440. Let n = g - -1\/165. Calculate the common denominator of n and -40\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**4 - x**3 + x**2 + x + 1. Let p(n) = -14*n**4 - 4*n**3 + 19*n**2 + 4*n + 4. Let v(q) = 4*g(q) - p(q). What is the third derivative of v(i) wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -111*f**3 + 21*f**2 + 178. Let y(r) = -110*r**3 + 18*r**2 + 177. Let n(j) = 6*o(j) - 7*y(j). Find the first derivative of n(t) wrt t.\nAnswer: 312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14684015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.26 - -0.26. Let p = -2.4 - t. Let s = 0.8 + p. Which is the second biggest value? (a) -4 (b) s (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*u = -0*u + 180, -4*u - 720 = -4*o. Calculate the highest common factor of o and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470648303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/m**2)**25*((m*m**(-1))**(-10))**(1\/12) assuming m is positive.\nAnswer: m**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 671600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mefur. Give prob of sequence ref.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1399351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/675 and -131\/180.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.061 times -0.004?\nAnswer: 0.228244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*b + 147220 = 136160 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3428899, -6857798, -10286697, -13715596, -17144495, -20573394?\n\"Answer: -3428899*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741400 is divided by 82376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 + 16 = 0. Let s be x\/96*(-17)\/(-1). Let c = -3\/8 - s. What is the closest to c in -1, -3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let d be x(4). Let j(i) = -2*i + 0*i + 2 - 1. What is the units digit of j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 35\/(-14))*54\/(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14*f - 1. Let k be w(-1). Let m = k - 9. Suppose 2*b - 60 = -m*x, -4*x = -0*x - 5*b - 46. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -117. Let z be 5\/25 + i\/(-10). Suppose 0*t + z*t - 2*y + 3 = 0, -3*y = 2*t - 11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.151 - -0.251. Sort -0.058, h, -1\/5.\nAnswer: -1\/5, -0.058, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 6) in base 7?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**5 + 24*t**5 + 22*t**5)*(-2 - 1 + 5).\nAnswer: 82*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3807*b**3 + 10629*b**2 + 2388*b - 36 = 0.\nAnswer: -2\/9, 2\/141, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 484221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -757 (c) -3\/8 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8 - -91.8?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 - (10 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-6)\/45). Suppose 5*k - o*v = 25, 3*k + 2*k - 4*v - 25 = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259524, 259523, 259522?\nAnswer: 259521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -3, 3, 16.\nAnswer: -51, -3, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**3 - 4 - 23*h**3 + 34*h**3.\nAnswer: 34*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 11*o - 684. Suppose o = 3*m - 4*a - 77, -3*a = m - 87. Let q = m + -83. Let v(t) = -24*t**2 - 2*t + 1. Determine v(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*r = 1037*r - 498*r - 17143413. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 2\/11, 0, 733, 0.7, -0.2, -153?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 2*b**2 + 7*b - 68. Determine g(5).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.1, 1, 3\/107?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2 + 2 + (51 - 27 - 21)*(-3 + f**2 + 3).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/37 (b) 2 (c) -0.12 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 30*j + 13949. Let l = j + -473. Solve 0 = -l*d - d - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.5. Let m = -14.02 + 13.42. What is the fourth biggest value in 1\/4, m, 1\/7, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49e (base 16) to base 12.\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2455318, -2455320, -2455322, -2455324, -2455326, -2455328?\nAnswer: -2455330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/120 + d**3\/2 - 3*d. Let t(k) be the second derivative of x(k). Let j(u) = 2*u**2 - 3*u**2 + 3*u**2. What is t(j(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03605 (b) 5 (c) -3 (d) -4 (e) 1 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -52*r**2 + 30*r - 5. Let w(g) = 29*g**2 - 15*g + 3. Determine -4*j(b) - 7*w(b).\nAnswer: 5*b**2 - 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l + 78. Let p be a(3). Solve -5*f + 0*u = p*u - 14, -u = -2*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) + -3)*3.\nAnswer: -9 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 324\/90*(-7)\/147 + 18\/(-45)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iill when four letters picked without replacement from {a: 3, u: 1, i: 5, l: 2, e: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 500 = 4*i - 51, -5*x = 5. What is the greatest common factor of i and 17158?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380376 and 47547?\nAnswer: 380376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1042244 (base 5) to base 7\nAnswer: 104534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682016 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v. Let f(t) = 6*t - 1. Let r(p) = 3*d(p) - 4*f(p). What is the first derivative of r(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 < -535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h + 6. Let q be p(5). What is the tens digit of (1*(q + 0))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/19)*x*x\/x**(1\/5) assuming x is positive.\nAnswer: x**(141\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*t - 350 = -200*t. Does 50 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.64 less than 26.3?\nAnswer: 114.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 9*u - 116 = 34*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -1, 0.7, -0.5, 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2. Let f(y) be the third derivative of 0*y + 0*y**3 + 0 + 0*y**4 - 3*y**2 - 1\/30*y**5. Determine h(f(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-5)))**20*(a*a*a*a**(-2\/23)*a)**(2\/13) assuming a is positive.\nAnswer: a**(-35700\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.06, -0.12, 1\/1093, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.596 + 8.4539?\nAnswer: 5.8579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q + 17 + 9 - 11 + 0 - q**2.\nAnswer: -(q - 1)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 17*k - 159*k - 8)*(3 - 1 - 1) to a + w*k and give w.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 5. Let m(a) be the third derivative of -a**4\/12 + a**3\/2 + 2*a**2 - 54*a. What is 3*h(f) + 5*m(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/5)\/1*6\/(-8). Suppose 0 = -4*z + m + 106, 0 = -5*z - 0*z + g*m + 136. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 3*h + h**2 + (2*h**2 - 4*h**2 + 3*h**2)*(3 - 4 - 3) + 3 - 3 + h**2 as j + m*h**2 + p*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18 = 3*j + 5*y, 2*j + y - 6 = 0. Suppose 4*s - 328 = j*w, 0 = s - 2*s + 4*w + 82. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 3, u: 3, e: 5}. Give prob of sequence tt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/9)\/x**(2\/15))\/(x**(-14))**(-36) assuming x is positive.\nAnswer: x**(-22706\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 857, 1688, 2519, 3350, 4181, 5012?\n\"Answer: 831*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188 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: Is 71696\/(-8)*(10\/4 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 1. Let b be n(1). Let m = 52 - 48. Suppose m*y - 103 - 125 = b. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 40, 62?\n\"Answer: 22*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*t**3 - 84*t**3 - 79*t**3)*(-3 + 0 + 1)*(-2*t - 2*t + 3*t) + (t**3 - t**3 - t**4)*(-3 + 1 + 3) - 2*t**4 - 3*t**4 + 3*t**4.\nAnswer: -219*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(-1)*125\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 1 + 4, 2*d + 15 = -5*b. Let h(o) = o**3 + 5*o**2 - o + 6. Let n be h(d). Suppose g - n = 2. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 10*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2710661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/12)\/((-8)\/24). Let j(v) = -25 - 6*v + t*v**2 - 24 + 43. Give j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/8 at least -4.72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (298569*v + 1 + 7 - 298572*v - 3*v**2)*(29*v**2 + v - 11*v**2 + 0*v) to the form x*v**4 + k + u*v**3 + d*v + n*v**2 and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40 + (-11844)\/294)\/(152\/154 + -1). Solve 0 = b*u + 63*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 15. Let p be d(0). Let c be (21\/6 + 1)\/(15\/40). Suppose -q + c = 2*s, 2*s + 21 = 5*s + 3*q. Solve 4*i - p = t, 9 = s*i + t - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 159 = 89. Suppose -m*a + 165 = 2800. Are a and -84 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148749*i**2*j*n - 7*i**2*n + 4*i**2 - 84*i*j*n + 2*i*n - 4*i - 1806*j wrt i?\nAnswer: 297498*j*n - 14*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0969 * -3.\nAnswer: -0.2907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f + 2. Let k be m(-2). Suppose k = c - 6. Let i = c + -2. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than or equal to 579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 18. Let j(b) = 2*b + 390. Calculate -j(s) - q(s).\nAnswer: -s - 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22)\/(176\/(-56)) + 28253?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 16. Suppose 5*c = u*c - 171. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Let w be (c\/(-4 + 3))\/((-2)\/6). Let u be (3*1\/w)\/((-2)\/(-4)). Solve 2*f - u + 9 = 3*s, 4*f + 4*s - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/40320 + a**8\/3360 + a**7\/1120 - a**5\/2 - a**2. Let x(o) be the third derivative of g(o). Factor x(z).\nAnswer: 3*z*(z + 1)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, 0.17, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 greater than or equal to -321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxo when three letters picked without replacement from wfpwxorpo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 957\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 252\/(-40) - (12 - 14).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-5516\nAnswer: 55.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047846483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*(-1075)\/(-645).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000160961971 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 2, n: 1, y: 1, l: 1, a: 2}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 25. Give t(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hqqecou.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 7*h**2 + 2. Determine q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3294*g**3 - 3107*g**3 + 2542*g**3 + 2923*g**3 + 9873*g**3.\nAnswer: 15525*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*5\/(-15)*8559 - -6. Suppose -l = -14*f - f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 602043 - 7?\nAnswer: 602034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 3*j + 5. Let s be 1*2\/(-14) - 1\/(-7). Let m be z(s). Solve m*v = v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46316, -92106, -137906, -183722, -229560, -275426?\nAnswer: -321326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12752, 25518, 38284, 51050, 63816, 76582?\nAnswer: 89348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -24*q**3 + 4*q**2 + 51*q - 15. What is the ten thousands digit of m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -311170 to the nearest 1000.\nAnswer: -311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5911 = 11*g - 18795. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -244, -251, -260, -271, -284?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1095558699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + 3*r - 9. Let i be j(7). Let h = 10 - i. Sort h, 26, -1 in ascending order.\nAnswer: h, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124964\/740925 - -1\/8325. Let r = 14\/445 - m. Determine k so that -1\/5*k**2 - r*k + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/7 + 1928*v**3\/7 - 20592*v**2\/7 - 451872*v\/7 - 1558656\/7 = 0 for v.\nAnswer: -492, -6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 11. Let j be -2 - -1 - -73 - 1. Suppose -3*q = -m - q + 13, -l*m + 4*q = -j. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - 5*j + 6. Let l(a) = -7*a**2 + 5*a - 7. Let c(p) = 5*l(p) + 6*x(p). What is c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -548, -27, -72 in ascending order.\nAnswer: -548, -72, -27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210189886 to the nearest integer?\nAnswer: 14498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 8) + -44 + 113\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*h + 19897 = 0, -o + 9999 = -4*h + 3355. List the prime factors of o\/21 + (-9)\/21.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4928 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + -0.15. Let p = o + 4.76. Let k = p - 4.721. Round k to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 35*i + 166. Let y be j(38). Calculate the greatest common divisor of 143 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 1, -0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 4 = -27*f. Let d be (1 - (-1 - -2)) + f. Let h(v) = 3. Suppose 0 = 2*y + 2 + 8. Let w(p) = p + 7. Calculate d*w(n) + y*h(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 48 = z + z, 0 = -2*z + 2*x + 76. What is the second derivative of 1413*w + 10*w**2 - 1420*w - z*w**2 wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 5*f = -8*f - 56 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604 is divided by 1535.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*d - 37, 2*t = -4*d - 14. What is the second biggest value in t, -12, 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 4962626*u\/3 + 3308420.\nAnswer: -2*(u - 2)*(u + 2481315)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:57 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-30))\/(3\/15). Let l(n) be the second derivative of -4*n + 0 - 1\/2*n**3 + 1\/12*n**x - 2*n**2. What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30172765 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 720 + -705. Suppose -2*c - 255 = -3*c. Calculate the greatest common divisor of c and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(200) + sqrt(200) + sqrt(200)*-4 - (sqrt(200) + sqrt(200) + 2)*-4.\nAnswer: 12 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Suppose 0 = -d + x*d + 4, 2*t - d = 4. Solve t*q + q = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310114817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/7 - 11*h\/7 + 6 = 0. Calculate h.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l. Suppose -6*h - 488 + 1820 = 0. Let y(i) = 209*i + h*i - 452*i. What is y(x(k))?\nAnswer: -63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/489 + -11887\/78240. Calculate the common denominator of t and 53\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 9*k + 28. Suppose -o + k*n + 1 = 2, 2*n - 2 = 2*o. Is o < 1\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -6, 1\/3, -0.17, -5654?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -463, -480, -497, -514, -531, -548?\n\"Answer: -17*y - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4165376 and -1.\nAnswer: -4165376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) - (sqrt(490) - 2*sqrt(490)*-6))\/((sqrt(120)\/sqrt(3))\/sqrt(4)))\/((1*sqrt(77)*3)\/(sqrt(11)*1*4)).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4116 and 95\/14112?\nAnswer: 98784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-4\/3))**(-11))**(-10) assuming y is positive.\nAnswer: y**(-440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let c be (-5)\/(45\/(-24))*36\/8. Suppose -5 = -p, 2*p = 2*h - 0*h + c. Sort -6, d, -2, h in increasing order.\nAnswer: -6, d, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38589 take away -20.5?\nAnswer: -38568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -63. Suppose -3*c + 24 + j = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (11 - 7))\/(2\/(50 - 6)). Solve -4*k + 4*z - 9 = -33, -3*z = -5*k + i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -24, -8760, -5 in decreasing order.\nAnswer: -5, -10, -24, -8760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -3. Solve -2*u = -2*v + 2, 2*v + u + u = o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 4, -5, -1 in decreasing order.\nAnswer: 4, -1, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 15 = -s + 3*y, 4*s = -2*y - 88. Let m = s - -41. Suppose 50*b = 55*b - m. What is the biggest value in 0, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*5*-4)\/(sqrt(55)\/sqrt(500)).\nAnswer: -400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:50 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3768 + 3783. Let p(o) = -8*o - 7. Calculate the lowest common multiple of l and p(-5).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:27 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-2)\/(-6)*6. Let s(n) = n**3 - 8*n**2 - 3*n + 14. Let l be s(d). Let u be 1 - -1 - (9 + l). Solve 4 = 2*j - 0*j - u*x, -j + 5*x = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 4*c + 2. Let n be q(-4). Suppose 3*b - n = b. Let w be (-144)\/(-74) + (-2)\/b. Is w smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(200\/(-15))*2\/2. What is the closest to 1 in 1.57, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - 34005?\nAnswer: -34200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 400 (b) 0.4 (c) 0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 12?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 10*z + 5. Determine y(14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -1. Suppose 10*x = -l*x + 3230. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 17. Suppose m + 25 = x. Suppose x = 2*i + i. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2157, 2164, 2171, 2178, 2185?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g + 4. Let t be m(0). What is the second derivative of -v**t + 2*v + 6*v**4 - 2*v**4 - 2*v**4 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4021 + -4020.9. Let z = -227 + 929\/4. Put z, 0, k in descending order.\nAnswer: z, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29112 and 53372.\nAnswer: 320232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13214 (base 7) to base 14.\nAnswer: 140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707037 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -195, -318, -595, -1086?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 27 = -m, -19 = -3*m - 5*b + 45. Suppose -5*a + 692 + 1054 = 4*n, 5*n + 3*a - 2176 = 0. Let y = n + -411. Is y less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.625450827 to 3 decimal places.\nAnswer: 1.625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -4*z - 127. Let s be 2\/(9\/(-21) - 52\/z). Suppose -10*q + 2454 = -s*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 - 1070?\nAnswer: -1073.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148.25 - 148.29. Put a, 68, 0 in descending order.\nAnswer: 68, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b**2 - 123*b**2 + 18 - 18.\nAnswer: -181*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8913*v - 20723 wrt v.\nAnswer: 8913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 2*w**2 + 48*w - 87*w + 39*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*c - 72*c - 1611 + 844 = 11729 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19689 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38190778*c*u**2 + 2*c + 5794640 wrt u?\nAnswer: -76381556*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2\/4)*-1. Let s = -0.183 - -0.683. Which is the nearest to x? (a) -4\/7 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 78 - 8*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/83, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let g = -0.3 - 0.2. Let p = g - -0.3. Put -3, p, k in decreasing order.\nAnswer: k, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570225 and 55.\nAnswer: 6272475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -24815, 0.06 in increasing order.\nAnswer: -24815, -5\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 18*l - 11. Let x be d(-7). Solve -x*y + 8*y = 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.43 and -3?\nAnswer: 13.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 973, 1424, 1859, 2272, 2657?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(4*b + 0*b - 6*b) + (2*b - b - 3*b)*(114 - 79 + 182) as i*b + y and give i.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 18*y**2 + 5*y + 50. Let x be p(-9). Solve -5*m + x*k + 13 = -2, 2*m + 5*k - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*p = 0, -p - 28 = -5*t - 3*p. Suppose -2*g - t*a + 54 = 0, 5*g - a = -22 + 168. Find the common denominator of 47\/4 and (6\/(-32))\/((-1)\/g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let j = 3 + b. Let t = -4 + 8. Solve -u + 2*u - 3 = 4*l, -5*u - j = -t*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 10*z**2 - 10*z + 1. Let y(x) = -x**2 + 9*x - 5. Let w be y(8). Suppose 2*d - 3*p - 31 = 0, -1 + w = d + 3*p. What is the tens digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y**2 + y - 2. Let c be p(1). Suppose -2*t - c = -5*t. Solve -t*l + 0*l = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42072885 and 162.\nAnswer: 252437310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/7, -4, 1.6, 4\/3, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.961514 millimeters?\nAnswer: 0.000005961514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 + 203. Suppose 4*j + 17 = h - 21, 4*h - 116 = -2*j. Calculate the lowest common multiple of h and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15271, -15268, -15265, -15262, -15259, -15256?\nAnswer: -15253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 108 = u + h, -3*h + 12 = 0. Let i = u + 74. Let w = -2.5 - -3. Which is the nearest to -1\/2? (a) 3\/2 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 7*z - 13. Let l be p(-9). Suppose -5*s + 6 = -5*d + 1, -d = -l*s + 9. Let y(o) = 0*o**s + 2*o**2 - o**2. Let x(j) = j. Give y(x(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 4*x**2 + (33*x + 19*x - 16*x)*(-x + 0*x - x))*(4*x + 8*x**2 - 4*x) to l*x**4 + b*x + t*x**2 + f*x**3 + h and give l.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.7. Let i = -56.3 + 56. Let t = -214.2 - -216.2. Which is the nearest to i? (a) p (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -15. Let o = 6.3 - a. What is the second biggest value in 0.2, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1098.1*50.\nAnswer: -54905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1205, 1213, 1221, 1229, 1237, 1245?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.76 (b) -10 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Solve 23*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 - -12. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1217 = 233*s - 98*s - 538 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390 + -218. Calculate the greatest common factor of z and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/91*-13*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 5*w - 5. Let j be (-7)\/(-1) - 2 - 3. Let i(t) be the first derivative of j - 1\/2*t**2 + t. Calculate -5*i(s) - z(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3441 = -5*b - 2*u + 12522, u = -2*b + 3633. Suppose 3*m = 2*p - 726, 6*m = -5*p + 5*m + b. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 30 + 36 = 4*c, 5*c + 4*x - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 0.2. Let n = f - -1. Put 1\/2, n, 5 in ascending order.\nAnswer: n, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 725\/(-232) - (1 - 10 - -1). Which is the closest to -2? (a) 2 (b) 11 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3561*p + 778. Is x(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1102, 3, 0 in ascending order.\nAnswer: 0, 3, 1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*w + 118, 7*o - 2*o + 5*w - 180 = 0. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2. Let n(w) be the third derivative of -w**5\/30 - 5*w**4\/8 + 270*w**2. Give n(r(u)).\nAnswer: -98*u**4 + 105*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4985 + -1.1702078\nAnswer: -0.6717078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 11)*(-846 - 4*s + 1699 - 860) to l*s + g and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 9, 3*u = -3*b + 16 + 11. What is the third derivative of -u*m**4 - 10*m**5 + 3*m**4 + 8*m**2 + m**4 - 2 - 1 wrt m?\nAnswer: -600*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyccnycknnggnknhgkk. What is prob of picking 1 g and 1 k?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8067 - -8066.853. Which is the second smallest value? (a) 0.3 (b) 23 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714460.1 weeks in minutes?\nAnswer: 7201757808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2383788 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*d - 15, -3*d - 16 = -4*q + 7. Suppose -q*n = n - 942. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddddllddd. What is prob of picking 1 l and 1 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.143387342 to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/3 + 20\/60. Sort -5, 1, -22, s.\nAnswer: -22, -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 40 = -26. Suppose -j - g*j - 467 = -m, -2316 = -5*m + j. What are the prime factors of m?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3697957*k - 392 = -3697950*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-763002)\/(-7) + (-2)\/7. Round g to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let q = 14 + j. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-1 - 3 - 2)*(0 + 4 + 0)*(-102*d + 272 - 272).\nAnswer: -2448*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -7.7 (c) 0 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:47 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:08 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 13312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 - 3) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219400*h*n + 165080*h wrt n?\nAnswer: -219400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-45)\/15)\/((-1)\/(2\/2)). Suppose 4*f + 94 = g*o, -4*f - 84 = o + o. Let h be (21 + f)*(-5 - 0). Solve 3 = h*b + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/46240 and 71\/5865.\nAnswer: 3190560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 - 1 - (10 + -8). Is -21 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4707 - 7751.5293. Let y = i + 7750.7159. Let o = y + 1.3. What is o rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, -706, -69, -4.\nAnswer: -706, -69, -4, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5054, 0.11.\nAnswer: -0.4, 0.11, 5054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 6*i**2 + 3*i - 6. Let t be u(6). Let o = t - 24. What are the prime factors of 74\/(-3)*o\/8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from lhhihhhiiilhihhih.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/((sqrt(40) + sqrt(80)\/sqrt(2))\/sqrt(5) - sqrt(8)))\/(sqrt(30)\/((sqrt(216) - sqrt(54))\/sqrt(9))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (30 - (-11 + 28)) - (3 + 0)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.1 - 16. Let s = 41\/30 + -13\/6. Which is the closest to n? (a) -0.1 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/20008 and 65\/492.\nAnswer: 60024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = f - 36, -a = -45 + 50. Calculate the remainder when 185 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 15 = -5*o - 5, -2*o = -4*t - 4. Let l(u) = 5 + 3*u**2 + 4*u - 3 + 2 + t. Is l(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37236 divided by -4.\nAnswer: 9309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Let i = 63 + -45. What is the greatest common factor of i and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1573248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62828*r - 63013*r = 19980 for r.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 divide 52909782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/3 and 65\/10038.\nAnswer: 10038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -100. Suppose 2*k = 5*k + 6. Is k less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 2 (b) 0.3 (c) 2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56106951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 204\/18 + 8\/(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.32 - 2.29. Is a at least -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -36, -4, 52, 138, 260, 424, 636?\n\"Answer: v**3 + 3*v**2 - 2*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s**2 - 11*s - 8. Let l be o(-12). Let f = -597 - l. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/614 and -13\/1030986?\nAnswer: 316512702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*2220\/296?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236217890603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036196633.\nAnswer: 3036196633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -87965.065.\nAnswer: -26389.5195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*c + 244*c = 1578*c - 110055 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 7. Let x(r) = -r + 8. Let g be x(9). Let f be ((-21)\/(-35))\/(g\/(-15)). Let d be p(f). Calculate the highest common divisor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1341 + 7?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1344 = 2*i, 0 = 7*l - 3*l + 3*i - 1344. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 + -349 + (-9)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*m**3 - 45500*m**2 - 6*m - 150525331 with respect to m.\nAnswer: -165*m**2 - 91000*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 2327?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llulpdu. Give prob of picking 2 u and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1121 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -352*y + 264639. Give f(752).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104423121 (base 5) in base 12?\nAnswer: -1a6506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 156795*t - 18. Calculate x(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllxeexexee. Give prob of picking 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 57, 73, 89?\n\"Answer: 16*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-39002646\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5038.1359 to the nearest 10.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 537425 and 385?\nAnswer: 5911675","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40440253 and 17759.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -567366, -567364, -567362?\n\"Answer: 2*o - 567368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1173 (base 11) to base 2\nAnswer: -10111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1593 + -1529. What is the remainder when c is divided by 20 + 4\/(-2) - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2924 and 11008.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 4. Let a be z(2). Suppose -14*v + 11*v - c = -4, v - 2*c + a = 0. Solve -4*b = -j + 13, v*j + 5*b = 2*j - 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81661.\nAnswer: 127, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*p = -4*d - 42, 4*d + 5*p = -123. Let z be (7 + -12 + -34)\/(-1). Let c = d + z. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -21. Suppose y - 6*y + 3*l = -6, 2*y + a = 4*l. Solve -y*q + 7 - 1 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {s: 7, f: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*a + 83*a + 115 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 9, q: 9}. Give prob of picking 1 q and 2 k.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express j + j - 6*j in the form c*j + o and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2\/5, -4\/303, -5, -2, -0.153, 2?\nAnswer: -4\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(425) - sqrt(425)*4)*1*4 + 2 + (sqrt(425)*-3 + 3 - sqrt(425) - sqrt(425))*2)**2.\nAnswer: -2860*sqrt(17) + 205869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3. Suppose 7*r + 17 = -10*r. Give v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 39 + 41*l + 19)*(-2 - 4 + 2).\nAnswer: -164*l - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, t: 2, i: 1}. What is prob of sequence qte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 27. Let h be (m\/1 - -5) + 0. Suppose h*z = 3*o + 21, -2*z - 5*o - 27 = -5*z. Solve 2*y - r = 5*y - 12, 0 = -z*y - 3*r + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 4*h - 2. Let a be 3\/12 - (-21)\/(-4). Does 5 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906*h + 72 = 914*h. What is the third smallest value in 0.2, h, 0, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by -14?\nAnswer: -275\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33914858 a multiple of 1912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 25 = -5*l, -4*l = -3*i - 7*l + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642497269.\nAnswer: 7, 41, 1543, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 588. Let o = w + -252. Let s be 12\/o - 2\/(-5). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 8*r - 12. Let n be s(-11). Let z be (-1 + n)\/(-4)*1. Let o be -600*z\/((-15)\/4). What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.033 + -4.967. Let x = -0.6 + 0.64. Let y = 0.24 - x. Put y, -0.1, g in descending order.\nAnswer: y, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.407 and -0.2.\nAnswer: 0.0814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -148*n**3 - 15*n**2 + 10. Determine u(2).\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 4*o**2 - 4*o**3 - 8*o + 15*o + 6*o**2 - 8*o as p*o**3 + r*o**4 + x + v*o**2 + a*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*m**2*t**3 - 279*k*m**2 + 2*k*m*t**2 - 156871*k*t**3 - k - 2*m**3*t**3 + 3*m**3*t - m**2*t - 5*m*t**2 wrt t.\nAnswer: 6*k*m**2 - 941226*k - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -8 + -1 + 30)*2\/2. Solve 0 = 17*w + g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3959, 5, -4 in decreasing order.\nAnswer: 3959, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - y**3 + 0*y**3 + ((-1 - 11 + 0)*(1 - 6 - 4) + 1 + 0 + 5)*(4 - 2*y**3 - 4).\nAnswer: -229*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1215 - -432. Let r = x + 753. Is -1\/2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-8)*(-168)\/21. Let r = i + 48. Solve 5*b = 5, v - r = -5*b - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4 - 2 - r - 4 + 19. Let f be v(2). Suppose -4*q + q + 11 = 2*t, f = -5*q. What is the least common multiple of 5 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1661 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -96.377768915.\nAnswer: -95.877768915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -65\/6*l**4 - 2 + 4*l + 0*l**3 - 53*l**2. Differentiate b(v) with respect to v.\nAnswer: -260*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 376951102.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/3))\/v**(-3))**33\/((v*v**(-3\/8)*v*v*v)\/(v*v*v**7*v)*(v**(-3)\/v*v)\/v**(-3\/8)) assuming v is positive.\nAnswer: v**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 28 = 11*u. Solve u*v = 6*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1131, -8855, -29825, -70665, -137999?\n\"Answer: -1104*l**3 + l**2 + l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 68, -17, 4, -1, 3 in decreasing order.\nAnswer: 68, 5, 4, 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**7\/840 - 7*h**6\/360 + h**4\/4 - 7*h**3 + 17. Let r(q) be the third derivative of d(q). Determine r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083951995.\nAnswer: 5, 7, 19, 29, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 - (-1 - -1). Let j be -7 + a*-2 + 3. Is -9 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22598902 to the nearest integer?\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743880776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 529243.45 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0*p**2 - 11 + 7 + 8*p - p**2. Let d(b) = -b**2 + 4*b + 1. Let a be d(2). List the prime factors of z(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2581449043 rounded to four decimal places?\nAnswer: 0.2581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 362 (base 12) to base 3\nAnswer: 200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.379256 hours in days?\nAnswer: 0.057469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56055 divided by -357.\nAnswer: 18685\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2*2\/4). Suppose 0 = -2*z + z + a. Suppose 3*y = 7 + z. What is the greatest common divisor of y and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-10)\/156) - (-3)\/(-1). Suppose 11*w = n - 20. Suppose -5*c + 3*s + 33 = 0, 4*c = w*c - 2*s - 1. Solve -2*u - u = -c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 939*k*m**3*x - 435*k*m**3 + 595*m**3*x - m**3 + 86*m*x + 2*m - x wrt k?\nAnswer: 939*m**3*x - 435*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/69))\/j*j**(-12\/11) assuming j is positive.\nAnswer: j**(-47\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 294.3 or 21?\nAnswer: 294.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 + 6*h**2 + h - 2. Let p(x) be the third derivative of -x**6\/24 + 7*x**5\/60 + x**4\/24 - x**3\/2 + 92*x**2. Determine -2*p(z) + 3*u(z).\nAnswer: -2*z**3 + 4*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*k = -96*k - 456 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 476*k + 12 = 473*k, 4*o - 5*k = 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -15. Let a(y) = y**3 + 9*y**2 - 8*y - 3. Does 23 divide a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/((q**6\/q)\/q))**(-47) assuming q is positive.\nAnswer: q**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**3 - k**2 - k + 1. Let d(g) = -2*g + 9. Suppose -5*p - 56 = -9*p. Let i be (48\/(-56))\/((-3)\/p). Let n be d(i). Determine r(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 11*m**2 + 2*m**2 in the form q + h*m**2 + j*m and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -150*2*(-1)\/5. Suppose -c + 24 = 2*b. Let o = -14 - b. What is the lowest common multiple of o and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let b(n) = n**3 - 2*n - 1. Let z be b(2). Suppose -s = -34 + 7. Let t(k) = -27*k + z*k**2 + s*k. Determine t(f(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 - p - 2. Let s be -1 + -1 - (1 + -3). Suppose 2*f + 10 = -c - s, 0 = -c. Let q be m(f). Solve 0 = 3*o + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-5)\/k)\/k)*k*((k\/(k**(-2\/3)*k))\/k)\/k)\/((((k**(-1)\/k)\/k)\/k)\/(k*k*k**1)) assuming k is positive.\nAnswer: k**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2499*d + 14. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49512 divided by 3.\nAnswer: 16504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/119?\nAnswer: -10\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -222*s + 27. Let d be x(-2). Let h = d - 469. Solve -h*f - 1 = 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 45. Let r = 7 - 11. Suppose 2*y - 8 = 0, 3*k + 2*k + 4*y - 36 = 0. What is the nearest to v in -0.2, r, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -74, -114, -156?\n\"Answer: -r**2 - 35*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 + 481. What is the remainder when 118 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121.15 + 118. Let v = -0.5 + -2.5. Let t = d - v. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -39, -73, -119?\n\"Answer: -6*f**2 - 4*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -61570 (c) -0.4 (d) -2\/13 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, 0*g - 4*p - 875 = -5*g. Let b = 65 + 8. Suppose -2*t = -g - b. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtrgwwwrrwugwwnwwrw. What is prob of picking 3 r?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.9. Let f = t + -1.1. Let j = 0 + -0.2. Which is greater: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 22?\nAnswer: -17\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*a. Let m = a - -1. Let i = m - -5. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from zjjjjjjwjmjjozzkjmm.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*n - 6, -2*l - 8 = -2*n + n. Which is the biggest value? (a) 5\/2 (b) n (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 358*z**2 + 7253*z - 5591. Determine k(-21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-224))\/(((-2)\/8)\/((-21)\/(-42)))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 20747715?\nAnswer: 20747723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2981*a - 12*a**2 - 2981*a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7729 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 81*l**2 - 302*l + 1. Let g(r) = -30*r + 1. Calculate g(b(q)).\nAnswer: -2430*q**2 + 9060*q - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5 and 1\/16602.\nAnswer: 83010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 15*v**5\/7 - 2526*v**4\/7 + 144558*v**3\/7 - 423060*v**2 + 8648475*v\/7 - 2994750\/7 = 0.\nAnswer: 2\/5, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27158245 is divided by 90.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from wwbwbbbwbwww.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - w + 39 = 0, 3*w + 0*w - 45 = 3*m. Suppose -2*t - 2*t + y + 20 = 0, -5*t - 2*y = -12. Find the common denominator of (-15)\/4*t\/m and 1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 2*f + 11. Let v be h(4). Let m(p) = -p + 3. Let r be m(v). Solve -19 = -4*k - a, -4*k + r*k = -a - 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124ba54 (base 12) in base 11?\nAnswer: 2030054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5237348?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2334 and 10131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7626688 and 4304?\nAnswer: 7626688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 23*z**4\/24 - 10*z**3\/3 + 11*z**2. Let o(w) = -8*w + 7. Calculate -6*g(u) - 17*o(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.2 - -0.2. Let m = 6.9 + h. Let p = -0.95 - 0.05. Which is the nearest to p? (a) -3\/5 (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + -1010010111?\nAnswer: -1010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -15*p**3 - 491980*p**2 + 1148035*p = 0.\nAnswer: -32801, 0, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -0.3 (c) 2 (d) -51 (e) -338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 11) to base 9\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366652*n**2 + 183475*n**2 + 183179*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13246 and 0.0282?\nAnswer: 13246.0282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l - 10*l - 8*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 - 4*z**2 - z**2)*(-3*z**2 + 3*z**2 + 2*z**2) - 1378*z**2 + 1378*z**2 + 83*z**4 in the form n*z**3 + o*z + q*z**2 + c*z**4 + b and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r = 347*r + 133*r - 2611. Let f = 1.99 - -0.11. Let w = f - 2. Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5371 (base 10) to base 9.\nAnswer: 7327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 16 = -q, 0 = -0*q - 4*q + y - 22. Let z(f) = 1. Let n(j) = -j + 6. Let u(b) = q*z(b) + n(b). Give u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2276*i**2. Let d(a) = 5*a**2. Give c(d(g)).\nAnswer: -56900*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27547 - -43680. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(21*m + 56626 - 57176 - 23*m).\nAnswer: 4*m + 1100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqxqqsxq. What is prob of sequence qqs?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 173272111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1058*x*z**3 - 1613*x*z**2 + 6227*x*z + 19*x + 6*z**3 - 31*z wrt z?\nAnswer: 6348*x*z - 3226*x + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:26 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-17289)\/4068*(-1)\/1\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 - 51. Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2. Let i(m) = -5*m**2 - 2 - 6*m**2 + 10*m**2. Determine 5*d(u) - 4*i(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 6948?\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/3582 and 38\/1007139?\nAnswer: 6042834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45602 or 43518?\nAnswer: 45602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 2*x. Let v be t(-3). Let u = 10 + -5. Suppose u = 4*p - v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 2. Let c(o) = 8*o - 20. Let j(p) = -p + 5. Let v(f) = -2*c(f) - 9*j(f). Give 5*q(h) - 2*v(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 2. Suppose -7 = 2*w - 1. What is a(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-33 + -6 + 36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*d**3*w**2 - 226*d**3*w - 2*d**3 + 9*d**2 - 102*w**2 wrt w.\nAnswer: 88*d**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + l)*(5*l**2 - 20*l**2 + 0*l**2).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 31. What are the prime factors of -3 + -3 + (35 - h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1390221, 1390212, 1390193, 1390158, 1390101, 1390016, 1389897?\nAnswer: 1389738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15871 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 75.653769.\nAnswer: -84.653769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) + ((-488)\/(-40) - -10). Suppose 0 = z*o - 11*o. Solve -3*s - 3 = -o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-3) + (-117)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + v - 5*v - v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**2 + 33*s - 49. Does 6 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2935 - -699. What are the prime factors of k?\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -80?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 34*n**2 - 258*n + 414 = 0 for n.\nAnswer: -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661 = 7*w + 197*w - 4333. Let z = 16 - 10. Suppose f = z*f - 15. Solve -6 - 3 = 2*m + s, -f*s + w = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-502 - 72*j - 181 + 50*j)*(-5 + 0 + 3)*(3 + 1 - 3) in the form a + u*j and give a.\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let d = -7 - -5. Let f be u(d). Find the second derivative of 2*n + n**4 + 3*n**4 - 3*n**f + n**4 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 1. Let h be t - 5 - (-10 + -1). Find the first derivative of 10*y**2 - h - 25*y**2 + 15*y**2 - 4*y**3 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -403175, -806364, -1209553?\n\"Answer: -403189*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51281679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 - 200 = 11*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9812.74ug?\nAnswer: 0.00000981274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -970, -3 in increasing order.\nAnswer: -970, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 168*o**3 + 6*o**2 + 16*o - 36. Let i be b(3). Calculate the greatest common divisor of i and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -720, -1062, -1388, -1692?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3023\/7*i + 1\/7*i**3 - 1510\/7*i**2 - 216.\nAnswer: (i - 1512)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfvvfbbvvvdvb. Give prob of picking 2 b, 1 d, and 1 f.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16076\/9 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -281, 48\/13, 2\/3, -2.\nAnswer: -281, -2, 2\/3, 48\/13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 8 = b, 3*b + 1938 = -24*w + 1929 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 1. Let y = -3 - -4. Let d(x) = 86*x + 5 - 37*x - 54*x. What is y*d(z) - 4*g(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 - 4 = 2*r, 12 = 3*v + 5*r. Suppose 5*w + 20 = -5*i, -4*w - 14 - 2 = 0. Solve -4 = -i*t + v*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -423931, -1.\nAnswer: -423931, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28e + 0?\nAnswer: 28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1167*y. Let g(p) = 2*p**2. Give i(g(c)).\nAnswer: 2334*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 4149*a\/7 - 2075\/7.\nAnswer: (a + 2075)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1763, -1768, -1783, -1814, -1867?\n\"Answer: -q**3 + q**2 - q - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 (base 15) in base 16?\nAnswer: ef9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-15)*a\/(a\/(a*a\/a**(4\/11)))*a**17\/(a\/a**7) assuming a is positive.\nAnswer: a**(447\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 169. Let x be c(-11). Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3018058 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 39. Calculate t(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86784181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2120940, 4241880, 6362820, 8483760?\nAnswer: 10604700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 10, 4*n - 3*a - 528 + 138 = 0. Does 30 divide 2690\/6 + 66\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425) - (-2*sqrt(1425) - sqrt(1425)) - (sqrt(285)*-2)\/sqrt(5))\/(-3*(sqrt(192) + sqrt(192) + 3*sqrt(192))).\nAnswer: -11*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4286 = -27*u + 2626. What is the highest common factor of 528 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/336)\/((-2 + 2\/4)*36\/(-108))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y**2 + 0 - y**2 + 2*y - 2*y + 3*y**2 - 2*y**2 - 2*y**2 + (2*y - y + 0*y)*(-5*y + 6*y - 3*y) + (-1 - 1 + 6)*(-4*y**2 - y**2 + 4*y**2).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 35, 41, 47, 53, 59?\n\"Answer: 6*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*(z*z\/z**4)\/z*z)**47 assuming z is positive.\nAnswer: z**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2635 - 2634.8611. Let j = d - -0.3675. Let a = 0.5 - j. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((3*sqrt(84) + sqrt(84))*3 + sqrt(84))*1)\/(sqrt(84)\/sqrt(112) + sqrt(12)*1*-5).\nAnswer: -52*sqrt(7)\/19 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.536, -5, 6, -0.3, 2\/5, -4\/7?\nAnswer: -0.536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1158203 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o**2 - 28*o + 10. Let q be z(1). Solve -q*m + 16 = -13*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 62\/11 (b) 0.3 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a. Let z(v) = 3*v**2 - 17*v + 18. Let o(g) = 2*x(g) + z(g). Let s be o(18). Solve 2*k - 8 = -s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43993.\nAnswer: 29, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 + 3*o - 27. Let g(x) = -x**2 + x - 7. Let d(t) = 9*g(t) - 2*s(t). Calculate the remainder when 36 is divided by d(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 r when three letters picked without replacement from farrtrirf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227118422690297 - 227119163626816.9999973. Let z = v - -740936571. Let n = 51 - z. What is n rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717180 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 70*l - 96975. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 1066*h\/3 - 2140\/3.\nAnswer: 2*(h - 2)*(h + 535)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:32 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 - 929279?\nAnswer: -929160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -30, -48, -70?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 11) + 8 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221*v**2*x - 6*v*x**3 + 1157*x**3 with respect to v.\nAnswer: 442*v*x - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 3\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-70)\/(-84)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253585493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1757 or -1762?\nAnswer: -1762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 + 7 + -4. Let u(q) = q**2 + 2*q - 4. Let y be u(-4). What is the second derivative of -g + 2*g**4 + t*g**y - 7*g**4 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 smaller than -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007018 rounded to 4 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 3327 - 3311 + 6*p**2 - p**2 + 5*p**2.\nAnswer: 2*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*s - 108*s - 104*s - 99*s + 15*s**2.\nAnswer: 15*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100413 (base 5) in base 13?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1377941454 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 308 or 299?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.02, 0.02, 0.5, -0.03, 0, -2\/21, -8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60032 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5597 and 4820947.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + sqrt(176) + 2 + -1 - (-2 + 0 + sqrt(176)))**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 + x**5\/30 - 5*x**4\/24 + 23*x**3\/3 - x**2 + 7*x. What is the least common multiple of 1 and a(0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*b**5 - 261*b**4 + 417073*b**2.\nAnswer: -14760*b**2 - 6264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkqulq. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7720558415?\nAnswer: 5, 17, 467, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Let k = 73 + -508\/7. Let d be (-124)\/589*1\/(-2). Which is the nearest to -2? (a) o (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 538*c**2 + 29*c - 20. Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q - 4. Let g(x) = -x + 2. Let h(b) = -2*g(b) + r(b). Let n be 2\/7 + (-79)\/7. What are the prime factors of h(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 29355 + 29365 = 0, -j - 29 = -4*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7470608 and 14941216?\nAnswer: 14941216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from fnffnfffnf.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k. Let t(u) be the first derivative of u**3\/3 - 3*u + 2. Let d(n) be the first derivative of t(n). What is f(d(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + c = 5*c - 12, -12 = -4*f - 2*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305032*g**2 - 289659*g wrt g.\nAnswer: 610064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + -3c88d?\nAnswer: -3c8be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + 15\/21. Suppose -2*a + 5 - d = 0. Suppose n + 2*v = 5*v - a, 0 = -v + 3. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -31. Let u be (-1)\/((-1)\/2) - 0. Solve -p = f - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.03 + -4. Let y = i - -0.07. Which is the closest to -1? (a) y (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.61787 years in months?\nAnswer: 259.41444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 582365.9nm?\nAnswer: 0.5823659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*w - 4*n + 7*n, -4*n - 8 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u + 2*u + 11*u - 21*u**2. Let q(n) = -5*n. Calculate q(k(j)).\nAnswer: 105*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 967 divide 731144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 13}. What is prob of picking 2 n?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t + 2. Let a be v(-10). Suppose 0 = -4*p + x + a, 7*p - 2*p + 4*x = 113. Let i = 40 + p. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441111, 882318, 1323523, 1764726, 2205927?\nAnswer: 2647126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umma when four letters picked without replacement from {m: 2, a: 1, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -4256.\nAnswer: 39\/2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:57 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1790660380 to the nearest one hundred thousand.\nAnswer: -1790700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/369?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.79 take away 8.39263144?\nAnswer: -45.18263144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.202 - -4.752. Let g = 17.61 + -12.61. Let j = g - u. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 3\/(-12). Solve -13*r + 7*r - 24 = k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/30 + 34*l**3\/15 - 289*l**2\/5 - 3*l + 11. Factor w(x).\nAnswer: -2*(x - 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21663 (base 7) to base 15\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 2*l. Suppose 606*u + 4 = 605*u. What is v(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3099\nAnswer: 5\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4 - 275*l**3 + 2835*l**2 + 6515*l + 3400 = 0.\nAnswer: -1, 17, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from nsggy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let y = -135 + 135.5. Which is the third biggest value? (a) f (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 + 20*a**2 + 2*a**2 - 27 + 6*a**2 - 43*a**2 to u + h*a + l*a**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 22*w + 7. Give h(19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 39. What is the smallest common multiple of (4*3\/4)\/(l\/4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 6*o - 32. Let d(j) = -4*j**2 - 15*j + 64. Let x(g) = 2*d(g) + 5*q(g). Factor x(l).\nAnswer: 2*(l - 4)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/40 - 0)\/(9\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*u + 22264 = 6*u, -4*f - 5*u + 29685 = 0. Suppose 7*r - f = -3*r. Suppose -2*h + r = -372. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 16 = 9*k. Let t be 14\/(-2) - (3 - 4). What is the third smallest value in k, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23001 - 22987 = -2*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21148181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25142274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - k + 6, -2*v + 3*k - 6 = 4*k. Let a = v - -7. Suppose 6*o + 3*q - 167 = o, -3*o = -a*q - 81. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 4. Let t be o(-5). Let k be (45\/15)\/((15\/(-2))\/t). Which is the second smallest value? (a) -2\/9 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 85*w**3 + 3*w**2 - 3*w**2.\nAnswer: 85*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3535 (c) 0.022 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162438720 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 65\/4, -0.4, -3 in decreasing order.\nAnswer: 65\/4, -0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, c: 7, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2517214 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324800 and 37537600.\nAnswer: 262763200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 963685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113032 - -12110?\nAnswer: -100322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from ininxqxiqi.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131087 is divided by 21838.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-46))\/(348\/108 + -3)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q)**(-4)*(q*q**(3\/2)\/q)\/q**(-3) assuming q is positive.\nAnswer: q**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-56)*(-4)\/24)\/((-1)\/(-68)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3 = 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(1088)*1 + -4 - (-6*sqrt(1088)*1 - (sqrt(1088) - (-1*sqrt(1088) + 0 + sqrt(1088) - sqrt(1088))))) + 5 + 4)**2.\nAnswer: -1296*sqrt(17) + 88209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 33*x + 30. Determine h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let q(u) be the third derivative of u**7\/120 - 5*u**4\/4 - 27*u**2. Let r(y) be the second derivative of q(y). What is z(r(d))?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = 21. Suppose -252 = 111*o - 115*o. Let g = o + m. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 < 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69536 + -69538 + (-120 - (-4 - (-1 + -1))).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/3931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 4323?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5024206 is divided by 889.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1394 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 12*s + 2. Let t be z(6). Suppose -3*f + 0*f + 226 = -4*c, -t*f + 2*c + 148 = 0. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**3\/3 - 3*k**2 + 4*k + 3. Factor p(r).\nAnswer: 2*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 18, l: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -0.423004350166?\nAnswer: 1.323004350166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than 568\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 154*p - 976. What are the prime factors of r(16)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 1. Let q(m) be the first derivative of -2 - 2*m**2 - 1 + 11 + 3*m**2 + 11*m. Let z be q(-4). What is x(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*-11*26\/143\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002878 rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -972, -978, -984?\n\"Answer: -6*n - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 3}. What is prob of picking 1 c and 1 t?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:40 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582 divided by 1415.\nAnswer: -582\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 47*b - 9 - 131 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -315 - -315.1. Let k = 2 + 1. Which is the nearest to 0? (a) k (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 16*o**2 + 14*o + 13. Is m(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfk when three letters picked without replacement from {f: 2, u: 4, x: 2, v: 2, w: 1, k: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and 0.0322?\nAnswer: 2.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 34, -18?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175)*1)\/sqrt(7) + sqrt(900) + (sqrt(900) - sqrt(900)*1))\/(4*(sqrt(405) + sqrt(405) + sqrt(405)*-1)))**2.\nAnswer: 245\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689\/104 + (-6)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(5) + 2*(sqrt(5) + sqrt(20)) + 1) + 1)**2 + ((sqrt(80) + 0)*6 + (sqrt(80) + sqrt(80) + (sqrt(80)*2 - sqrt(80))*1 - sqrt(80)))**2*1.\nAnswer: 420*sqrt(5) + 11281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l + 79*l + 71*l)*(-3 + 3 - 4*l**3).\nAnswer: -560*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + -490. What is the closest to 1 in 0.4, -0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 289*r + 7271. What is f(-25)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifjj. What is prob of picking 1 i and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 1. Let f = x - -12.9. Which is the third biggest value? (a) f (b) -2\/17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11138994 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let z = 13 + -5. Let m(u) = -z*u + u + 4*u. What is p(m(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let s = 0.08 + -0.38. Let o be (-8)\/6 + (-2)\/(-6). What is the closest to o in z, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -53. Let z = 5 - 4. Let y = o - z. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 239, 245, 253?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(0 + 1) - -32. Let f*k**5 - 3*k**2 + k**2 + 13*k**3 + 0*k**3 - 48*k**4 + 5*k**3 = 0. Calculate k.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*i = -530*i - 459*i - 17528 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/5 - 4*f\/5 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 314265*o\/2 - 157134.\nAnswer: 3*(o - 104756)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 54 + 95 + 151 + 3*g**2 - 2*g**2 - 354.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 - 5*b + 1. Let d(t) = -7*t**2 - 6*t. Let p(c) = 5*d(c) - 6*s(c). Let i(m) = m. Give p(i(g)).\nAnswer: 7*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1100 and 101\/228?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -185\/114578 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 6) + 1\/(-2)*2. Let a be ((y + -2)*1)\/2. What is the units digit of (-4 - (a + 2))*-52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*p - 6845\/2 - 5\/2*p**2 = 0 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/960 and 2260\/4800 - (24\/(-15) - -2)?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179452 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -0.08362 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-4) - 2)\/3. Solve 0*o - o = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12922*h**5 + 69*h**4 + 10*h**2 - 128*h - 316.\nAnswer: -775320*h**2 + 1656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4.8, 0.02, 0.4 in ascending order.\nAnswer: -4.8, -1, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.061, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2809 - -2808. Which is the nearest to -0.2? (a) 5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let r(x) = -x. Let z(q) = -q**3 + q**2 + 3. Let i be z(0). Let s(u) = i*t(u) + 5*r(u). Let w(l) = l**2. Give w(s(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763543?\nAnswer: 3, 617, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:08 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 12 + 3, 5*q + 15 = -3*y. Solve y = -4*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.21.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(5\/2*28\/35). Suppose 0 = 2*n + 4, 0 = 3*g - 0*g + n - b. What are the prime factors of 6*(-2)\/(g\/(-2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -20. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526394579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571, -312, -53, 206?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1858.\nAnswer: -4\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1909 + -1908. Let h(y) = 5*y**2 - 7*y + 5. Let q be h(o). Find p such that 3072 + 288*p**2 + 24*p**q + 3\/4*p**4 + 1536*p = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8816750 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 2736*d**2 - 64221*d - 253080.\nAnswer: -3*(d + 5)*(d + 19)*(d + 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zkkolpvllvvllllzl?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = 2*v - 4*q, 7 = -v + 5*q. Suppose 0*c = v*c - 42. Find the third derivative of 7*d**2 - 7*d**2 + c*d**2 - 12*d**5 wrt d.\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 + 0 + 3)*(0*p - 2*p + 3*p) - 12*p + 0*p + 2*p - 4 + 2*p + 4)*(1 - 2 + 3)*(3 + 0 - 4) to the form z*p + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8491 = -j - 5*z, 4*j - z = 3*z + 34012. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 + 9*i + 5. Let p(k) = -6*k**3 + 34*k**2 - 55*k - 32. Let q(a) = -2*p(a) - 13*s(a). Determine q(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150558 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17345006.1999973 + -17345007. Let k = -1 + 0.2. Let h = k - d. Round h to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*x = 997*x - 69992 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*b + 72 = -211*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.04 - 0.04. Let v = 0.1 - 0.1. Let g = -18 + 17. Which is the smallest value? (a) v (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**8\/28 - 8*k**7\/105 + 17*k**6\/30 + 6*k**5\/5 - 10*k**4\/3 - 16*k**3\/3 - 26*k**2. Let c(d) = 0. Calculate d.\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2531141, -5062270, -7593399, -10124528, -12655657, -15186786?\n\"Answer: -2531129*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*w**2 + 378 + 31*w - 8*w**2 + 371 - 749 in the form s + a*w + g*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24795 - 24791. Let v be 2\/(-7) - (-16)\/7. Suppose -5*n = -v*n - 12. Solve b*w + 5*p + n + 8 = 0, 5*w + p = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19272662 divided by 61574?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29608 or 29609?\nAnswer: 29608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 224 - 233 = 3*j, 5*j - 5*o - 15 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-14)*((n*n**(2\/15)\/n)\/n*n)\/n assuming n is positive.\nAnswer: n**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 89 - 86 - (-1 - -2). What are the prime factors of (122 - 124)*((-481)\/i)\/1?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 203*a**2 - a**3 + 0 - 1\/6*a**4 + 0*a. Determine t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 174 + 2*x - 362 + 6*x + 180.\nAnswer: -3*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 9*j**2 - 23*j - 1. Determine l(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22*d - 88 = 20*d, z = 2*d + 41. Calculate the remainder when z is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 293*s**2 + 839*s + 8. Let l(t) = 195*t**2 + 559*t + 5. Let p(d) = -5*i(d) + 8*l(d). What is the second derivative of p(b) wrt b?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3 - 584\/196). Suppose -40*n + 80 = -42*n. Let f = n + b. What are the prime factors of f?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9758 and -28\/459.\nAnswer: 263466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - 28\/(-24). Let x = 2.5 + -2. Which is the nearest to r? (a) -0.1 (b) x (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83552 - f + 0*f**4 - 3*f**3 - 3*f**4 - 83558 to the form y + l*f**2 + v*f + q*f**4 + j*f**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.520662 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.43 - -5.63. Let d = 1 - s. Put -5, d, -0.4, 5 in increasing order.\nAnswer: -5, -0.4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 89. Suppose u = 6*p - 21. Solve -3*j = -5*j - p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/9 (c) 0.937\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(432))**2)*3 - (1 + 5 + (sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: 71*sqrt(3) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a + 10 = 0, 0 = -2*j + 2*a + 14. Sort -0.023, -1\/4, j, 1 in descending order.\nAnswer: j, 1, -0.023, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11100)\/592)\/25)\/((-10)\/(-4))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*v + 608, 0 = 4*v - v + 4*j - 456. What is the highest common divisor of v and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.01 + 9. Let f = 0.06 - s. Let x = f - 0.002. Round x to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -4.11. Let d be -4 - (65\/(-13) + (-4)\/(-2)). Let m be 1*(-2 - (1 - 0)). What is the third biggest value in m, d, 3, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38261.\nAnswer: 38261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3639)\/(-18))\/(180\/(-54)). Let g be (2\/(-20))\/((-7)\/4438). Let o = r + g. Calculate the common denominator of o and -48\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 8*z + 32 = w, 5*w - z - 6 = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 112 = 102 - 222, -4*c - 6*w - 20 = -w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 913904529 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*r - 50, 6*b = 7*b - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 417275663695 and -0.02.\nAnswer: 417275663694.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 66844 + 44259 = 14461. List the prime factors of j.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 + 10*a + 173. Let u be q(12). Let m = -7 - -6.7. What is the second biggest value in u, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let v be (-11 - -4)*(-9)\/21. Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 28*s**2 + 71*s + 9. Determine u(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 59 = 83. Suppose -5*k + 2*g = -275, -4*k = -p*k - g - 55. What is the highest common divisor of 275 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284.04 + 6.96. Let r = 290 - x. Which is the closest to -0.9? (a) r (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*f + 8, -2*f + 4 = 2*z + 3*f. Let l = -164 + 168. Calculate the remainder when z is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8346257 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32480\/(-210))\/58*((-210)\/8)\/1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -2 (c) -1443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50212*n**2 - 88659*n.\nAnswer: -100424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -4*sqrt(84))*-5)\/(sqrt(768) + (sqrt(768) + sqrt(768) + sqrt(768)*-5 - sqrt(768)) + sqrt(12)).\nAnswer: -15*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125257 or 1002067\/8?\nAnswer: 125257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1772, 1, 10, 36, -3.\nAnswer: -3, 1, 10, 36, 1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6764 - 6698. What is the remainder when 487 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4749.3 + -4749. Let k = -4 - -4.03. Let g = 0.01 - k. What is the fourth biggest value in g, -0.6, x, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 5*w**2 + 5*w + 33. Let u(l) = -2*l**3 - 4*l**2 + 4*l + 34. Give -4*j(y) + 5*u(y).\nAnswer: -2*y**3 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (-5 + -2 + 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17523998?\nAnswer: 2, 8761999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/180 - 11*p**3\/3 - 5. Let f(r) be the third derivative of l(r). Let y(g) = 16*g**2. Give y(f(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g - 1\/6*g**4 + 22*g**2 + 3\/2*g**3 + 0. Give x(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/5)\/s**(-4\/9)*(s*s**5)\/(s**(-2\/15)\/s*s)*((s**1*s)**(-2\/13))**(-1\/17) assuming s is positive.\nAnswer: s**(59629\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447063*j**2 + 799809*j**2 + 1317825*j**2.\nAnswer: 1670571*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385947 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22255564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 - 7*r - 5. Let y be f(-3). What is the least common multiple of 22 and y\/((-26)\/(-65)*5\/(-8))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.015847 >= 1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r + 5444 = 37*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.56 + -5.56. What is the smallest value in t, -1\/9, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 30. Let c(d) be the third derivative of -5*d**4\/12 - 11*d**3\/6 - d**2. Is 13 a factor of c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Suppose 3*k + 3*z = 2*z - 2, 4*k - y*z = -8. Which is bigger: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -793556 by 4.\nAnswer: -198389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and -5047.\nAnswer: 201880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 + 248. Let m = 0.7 - 3.7. Let q = m - 2. Which is the smallest value? (a) q (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -46?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 825*l - 6328. Calculate t(-8).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6*i. Suppose -5*m + 4*n + 53 = i, 2*m = -0*m - 4*n + 10. What is the greatest common factor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 56, 10, -134, -2 in increasing order.\nAnswer: -134, -2, 1, 3, 10, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -37.8. Let u = 1\/3 + 1\/6. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 - 9*r**2 - 15*r**2 + 9*r**2 in the form u*r + x + c*r**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3196270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 18.8 and 4836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 2\/7, 14, 5, -3\/2, -0.1, 2\/30579?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 u when three letters picked without replacement from vwmvmuhvuvuhiim?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/((-15)\/24))\/((-15)\/75))\/(-18)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -658 + 654. Which is the second smallest value? (a) -1 (b) 2\/3 (c) l (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o = 47*o + 153. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 906229781*r**4 + 1105563283*r**2 wrt r.\nAnswer: 21749514744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32 - 41156.1.\nAnswer: -41156.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4641*z + 4639*z + 3*l - 6, 11*z = 2*l + 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/30)\/(2\/(-288)). Let j = r + 674\/7. Is j smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 3*r**3 - r**2 - 3*r + 2 = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21528600 a multiple of 2031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 988*k - 386*k + 350*k + 1370*k + 351*k)*(2*k - 5*k + 2*k).\nAnswer: -2673*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34709 divided by 34709\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m + 1. Let r be k(2). Let v be r\/(2\/(12\/9)). Suppose 0 = -5*q + v*n + 35, -21 = -3*q + 3*n + 2*n. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 176*k**2 - k. Let q(l) = -2*l**2. What is r(q(v))?\nAnswer: 704*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0558652032 to six decimal places.\nAnswer: -0.055865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1571 by -51.\nAnswer: -1571\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/24 + 2457\/12. Suppose -97 = -p - 5*f, -4*f - u - 193 = -5*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f + 3. Let y be o(0). Let p be (y - 4)*(33 + -1). Let c = -4.9447 + -0.0553. What is the biggest value in c, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-8)*32\/12. Solve i*r + 13 = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1)*4\/6. Let t = 45 - 3. Suppose -t = -5*v + p*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 + 2. Suppose -h = h + 8. Let z be y(h). Suppose 12 = -z*d + 6*d + u, d + 2*u - 3 = 0. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 62 (c) 5 (d) 403.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/4 - 2)*16. Let x(h) = 9 - 5*h**3 + 5*h**2 + 4*h**2 - 8*h + 4*h**3. Is 8 a factor of x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 94813983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59672469, -59672470, -59672471, -59672472?\n\"Answer: -d - 59672468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1754 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwoizwwgzfww. Give prob of sequence ioif.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1231*y + 698. List the prime factors of o(-7).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10 + 87\/(-10) and -31\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109399\/34905 + -2\/2327. What is the common denominator of u and 35\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oollll. What is prob of picking 1 o and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*v - 6, -2*r - 5*v = -3*r + 24. What is the second biggest value in 3\/5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**(-28)\/(m*m\/(m*m\/(m*m**(-3)*m)))**(-2\/13))**(-32) assuming m is positive.\nAnswer: m**(23616\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54705 + 73.69148?\nAnswer: 54778.69148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-2)\/(-1 + 3). Suppose g = -4*w - 0*w - 152. Let r = w - -96. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 + -52 + (-13 - 2 - -33)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 19*g**5\/20 + g**4\/12 + g**3\/6 - g**2\/2 - 5*g. Let c be l(1). Solve -2*y + c = -7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.4778 millilitres in litres?\nAnswer: 0.2184778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31339555?\nAnswer: 5, 13, 37, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-150))\/((0 - -1)*6)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2. Let a(k) = -206*k**2. Calculate r(a(y)).\nAnswer: 127308*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -b + x, -4*b + x + 49 = -2*x. Let a = 13 + -8. Suppose j + 2*j + a*q - 17 = 0, 2*j = -5*q + 13. What is the lowest common multiple of j and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2903866 and -15\/19516.\nAnswer: 98731444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15015548.\nAnswer: 2, 19, 197573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/((-15)\/40).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:35 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 466\/3 (b) -812 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2400)*2*-3)\/((sqrt(96)\/sqrt(6) - sqrt(16))\/sqrt(2) + sqrt(8) - sqrt(72)*-3).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-78) + 26\/(-156). What is the second biggest value in -37\/2, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -518452\nAnswer: -25\/259226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150924558 is divided by 50308183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -13. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 5. Let w be m(0). Which is the third smallest value? (a) -2\/7 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048489913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 97*r**2 + 42*r**2 + 61*r**2 + 0 + r to v*r + x + n*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 218. Let q(x) = 2965*x. Give q(j(l)).\nAnswer: 2965*l**2 + 646370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose s = -j*c + 65, 0*c + 26 = 3*c - 2*s. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = z + 10, -5*z - 3*d + 37 = 0. Let i = 1 - z. Let l = i + 9. Solve v = 3*j + 3, -5*j + l*v + 4 + 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279.48 times -0.3161\nAnswer: 88.343628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 948323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 - 26*q**2 + 3*q + 33. What is the tens digit of z(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 11310260?\nAnswer: -11310265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + 736. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 16, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + p - 8. Determine j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -380, -3 in descending order.\nAnswer: -3, -4, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 589418219?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -25*g - 278. Give c(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 54*u - 25. Let a(g) = 4*g**2 - 5. Determine a(x(p)).\nAnswer: 11664*p**2 - 10800*p + 2495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*u*v + 7490931*u - 68264*v wrt v?\nAnswer: 6*u - 68264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -5*b + 3*v - 153, 7*b + 13 = -4*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1811 = -206. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 181.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40440.5 - -40054. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose -4*w + 4 = -3*i, -3*i + 0*w + 20 = 2*w. Solve 8 = i*z + 3*f - 0*f, -5*f + 20 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f*f\/f**(2\/3)*f)**(-14\/5) assuming f is positive.\nAnswer: f**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28205 and 70.\nAnswer: 394870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31311681361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218209? (a) 0.2 (b) -4 (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14234953, 28469906, 42704859, 56939812?\nAnswer: 71174765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v - 5. What is the units digit of t(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - d + 23, 42*i - 4*d = 45*i - 20. Let f(a) = 22*a - 40. Is 45 a factor of f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 11*t - 7. Let j be k(10). Suppose 0 = -4*m + u + 504, u - 138 = -m - 12. Suppose 0*o + m = j*o. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 316 - 314. Solve 20 = u*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 6164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 2*h**2 - 130*h + 11. Let c(d) = 11*d**3 - 5*d**2 + 389*d - 32. Determine -3*c(t) - 8*k(t).\nAnswer: -t**3 - t**2 - 127*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 392*t. Let v(d) = -15*d**2. What is u(v(f))?\nAnswer: -5880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 22*a - 25*a. Let f = -0.7 - -1. Sort a, 1, f, -5 in descending order.\nAnswer: 1, f, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-56)\/(-210))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 86*s - 1186. Let j be u(-58). Solve 7161*t = j*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)\/((-4)\/(-10)). Let l = 79 + n. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 5, f: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110376903 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2dd9 (base 15) to base 4\nAnswer: 2122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -305.\nAnswer: 945.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 + -11)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1081*s + 5525 + 4204 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655*h + 410 = -936 - 1274. Let u = 11 - 8. Let v(k) = 2*k**2 - 4*k + 4. What is the lowest common multiple of v(u) and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**3\/6 - 7*w**2\/2 + w. Let r be f(-6). What is the units digit of r*1\/(-1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*g = -205, 0*g - 20 = 4*g. Let m = -44 - k. Find u, given that 4*u - 11*u**5 - 2*u**m - 6*u**3 + 10*u**4 + 13*u**5 - 8*u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -943744\nAnswer: -15\/471872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 8*b + 14. Let z be t(-5). Suppose 4*k - 21 = -3*i, 0*k - 24 = -5*k - 3*i. Is z equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01077 rounded to 4 dps?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2587\/11 - -235. What is the second smallest value in a, 0.1, -1\/4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.86 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:33 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**7\/1155 + v**5\/110 + v**4\/66 - 3*v**2. Suppose d(o) = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 9) in base 3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180))\/sqrt(10) - sqrt(72)\/(-2*sqrt(4)))\/(1*(sqrt(96) + (-2*sqrt(96) - sqrt(96)))).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - m - 1714 = -21*j, 1022 = 3*j + m. Is 343 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - b + 144 = 20, b = 3*m - 68. Suppose -4 = -2*d - 2*q + m, 2*d - 48 = 3*q. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 5*i - 32 = 10*k, 0 = -2*k - i + 33. Solve -13*q + 24 = -k*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6836*f**3*q**5 - 2*f**3*q**2 - 10*f**3 - 212*f**2 - 2*f*q - q wrt q.\nAnswer: -136720*f**3*q**3 - 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 78)\/(-7) + -7. What is the tens digit of (1267*1\/l)\/(11\/44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 - 10 = 4*k, 12 = 3*i + 2*k. Let z = 20 - 35. Let n be z\/(-45) - (-94)\/i. What is the greatest common factor of n and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, 54, 1 in decreasing order.\nAnswer: 54, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*k + 11. Suppose 0*v + 48 = 3*v. Calculate the remainder when (v + 3 - -1)*2 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/46)\/((-4)\/(-164))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhzzzzzzhcxht. What is prob of sequence xc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 2. Let i(g) be the first derivative of g**2\/2 + 8. Calculate -i(u) + s(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83.75027cm?\nAnswer: 0.0008375027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + -2. Let a = 1 + -4. What is the biggest value in i, a, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -42*z + 45*z - 34, 25*z = 5*w + 270 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h + 17*h + 18*h + (9 + 1 + 15)*(2*h + h - h) - 4 + 2*h + 4 as p + i*h and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 2*z - 22 + 47 = 71, v - 3*z + 8 = 3 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(18\/(-63))*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42739, 85518, 128307, 171112, 213939, 256794, 299683?\n\"Answer: v**3 - v**2 + 42775*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 189154 divided by -3\nAnswer: -189154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s = -197*s - 1313 - 1267 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, s: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -20.2.\nAnswer: -62.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 12312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410245 = 15*r - 7565. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m + 1. Let f(v) = v**2. Let d be f(1). List the prime factors of s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f. Let j(b) be the third derivative of 13*b**4\/12 + 4389*b**2 - 2. Calculate r(j(y)).\nAnswer: -130*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 185189664 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(72\/32)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107751 is divided by 13185.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - d - 25 = 0, -5*d + 1 = -4*j + 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239\/627 - 4\/11. Let y(f) = -f**2 - 4*f. Let r be y(-4). Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 9*k - 4. What is the remainder when 143 is divided by c(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 11 = -5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9)\/(18\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2074*l - 2084*l - 5*c + 10, -3*l - 19*c = -108 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 13 - (33 - -10) - -23\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*v**2 - 4*c**2*v**3 + 3*c*v**3 + 6*c*v**2 - 2*v wrt c?\nAnswer: -24*c*v**2 - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 + 3*o**3 - 2)*((3*o**2 - 5*o**2 + 3*o**2)*(-1 + 5 - 5) + 2*o**2 - 6*o**2 + 3*o**2).\nAnswer: -4*o**5 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose 2*m + m - 9 = b. Find the first derivative of w**2 + m - 3 + 2 - 2*w**2 wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1120, 2, -2 in descending order.\nAnswer: 2, -2, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i + i + 0 + 0 + (-1 + 1 + 2*i)*(-2 - 2 + 6) - i - 1 + 1 + (-3 + 0 + 1)*(-4*i + i + i) + 4*i - 1 + 1 + 2*i - 4*i + 4*i)*(-3*i + 6*i + 0*i).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/16 + (-170)\/80. Let j be 1*7 + q + -1. Calculate the lowest common multiple of j + 6\/(2 - 1) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-24) + -4 - (-65)\/40. Solve -2*t - 18 = j*u, 7*u = 2*u - 3*t - 37 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:57 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10183 = -2*i, -5102 = -2*i + i + 5*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110585050890551 take away -0.5?\nAnswer: 110585050890551.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**4*l - 9*i**4 + 10*i**3*l - 537*i**3 + 525*i**2*l + 5*i**2 - 99 wrt i?\nAnswer: 216*i*l - 216*i + 60*l - 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 984 and 123?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 815*q = 814*q - 53, -3*i = -q - 80 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 4609\/146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i + 85*i - 65*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-8)*r)\/(r**(-2\/55)*r)*(r\/(r*r**6))\/(r\/(r**3\/r)) assuming r is positive.\nAnswer: r**(222\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.2, -2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 0, 1, 20, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80949 + 80949. Suppose -4*n - 6 = -3*n. Sort n, 1, g.\nAnswer: n, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c4 + -743?\nAnswer: -44c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/11711688 and 25\/10593156.\nAnswer: 1885581768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 2*w**4 + 3*w**4 + (-14*w**2 - 13*w**2 + 28*w**2)*(2*w**2 + 2*w - 2*w).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 12\/(-30). Suppose -4*l = -4*x - l + 38, h = -x - 4*l. Solve x = -q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-6)*(10 + -2). What is the remainder when (24*3)\/(h\/24) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162, -277, -392?\n\"Answer: -115*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23037679 rounded to the nearest 100000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.68 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m - 1655 + 4134 = -1316 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.681162257 rounded to four decimal places?\nAnswer: -0.6812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = f + 29. Let l(q) = 2*q**2 - q. Let r be l(1). Sort 0, f, 4, r in descending order.\nAnswer: 4, r, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (44 - 43) + 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339862 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s**4 - 3*s)*(-3*s + s + 4*s) + 84*s**5 - 93*s**5 + 4 - 52*s + 52*s.\nAnswer: -13*s**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) - sqrt(1584)) + ((sqrt(110) + -2*sqrt(110))\/sqrt(10))**2 + -4 - ((1 + sqrt(44)\/sqrt(4) - sqrt(11)) + (sqrt(539)*1)**2).\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12300 - -12300. Let -4\/3*l - 6*l**3 + n - 22\/3*l**2 = 0. Calculate l.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 18*h**3 + 3022*h**2 - 341*h - 839. Determine g(-168).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 2, z: 8, h: 1, k: 2, i: 1}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1187 - -1187.3. Which is the nearest to 4? (a) x (b) 0.1 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2327 is divided by 135.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 220207, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 15 = -14*q + 11*q, -5*v + 25 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177867191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -6.2. Let i = -33 + 37. Which is the closest to 1\/4? (a) i (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -71, -176, -387, -740, -1271?\n\"Answer: -6*a**3 + a**2 + 4*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/12 - 3*q**3\/2 - 443*q**2. Let o(u) = -1. Give b(r) - 6*o(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, -87, 0.4, 9719?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2 - 11. Calculate the least common multiple of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*d**3*r + 7*d**2*r**3 - 3*d*r**3 + 30*r**3 - 8 wrt d?\nAnswer: -594*d*r + 14*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 6:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17622*o. Let h(c) = -119*c. Determine 445*h(f) - 3*v(f).\nAnswer: -89*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*t**5 + 3*t**3 + 45707*t**4 - 45711*t**4 - 6 + 9*t**2 + 6 wrt t?\nAnswer: -3360*t**2 - 96*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2417 - 4832 - 3*p + 2294 to the form g + o*p and give g.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3*y**2 - 5*s**3*y - 41*s**3 + s**2 - 1240*s*y + 3*s - 900111*y**2 wrt y.\nAnswer: 2*s**3 - 1800222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06618 and 26?\nAnswer: 25.93382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524661056 to the power of 1\/3, to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:18 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwtprwpyyjwp. Give prob of sequence ry.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6*f + 13)*(-22 + 6*f + 22)*(-3*f - 1 + 1) + 3*f**3 - 5*f**3 + f**3.\nAnswer: 107*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-6) - 0)\/((-12)\/72). Solve -p*a = -12 - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3245 and -12.88?\nAnswer: 41795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12685 and 5605.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 1 - 1\/1. Suppose q*a - 124 = -0*a. Suppose c = -c + a. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 10, 0.\nAnswer: -13, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 480, 583, 686, 789?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-17\/3)\/c)\/c*c))\/c)\/c*c*c*c*c*c**(-27)*c**9*c*c*(c*c\/(((c\/(c**(2\/99)*c)*c)\/c)\/c*c))\/c assuming c is positive.\nAnswer: c**(-526\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 491, 1790, 3955, 6986, 10883, 15646?\n\"Answer: 433*y**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2 - (-12)\/6. Let p = h - -4. Let b(n) = n**3 + 7*n**2 + 3*n - 6. Let z be b(-6). Solve 4*d - p = z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164646 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - n + 2. Let l be o(3). Suppose 5*y + 4 = -m + 56, 0 = 2*m + 5*y - 104. Let q = l + m. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 972 + -5544. Is w smaller than -4573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, d: 5, u: 1}. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Suppose -5*a + 42 + 143 = 5*x, 148 = 4*a - o*x. Suppose 3*h + a = 166. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3, -8\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f - 12*f = -1897684. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 1 - -21 - 4 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/133 and 47\/6174354.\nAnswer: 43220478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 less than -12751?\nAnswer: -12978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5)*2*-5 - sqrt(5)) + sqrt(77)\/(sqrt(55)\/(sqrt(10)\/sqrt(2))) + (-2*(sqrt(1400) - sqrt(56)) + sqrt(56))\/(sqrt(8) - -3*sqrt(8)*-1).\nAnswer: 97*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681 is divided by 245?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13776373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.08, 17, -20.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187\/22 - 9)\/((-10)\/(-580)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80544? (a) 2.95 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**9\/m)*m*m\/(m*m**6)*m)**50*((m\/m**(2\/11))\/m*m*m**(-6))**(2\/67) assuming m is positive.\nAnswer: m**(-405464\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3203, 6411, 9619, 12827?\n\"Answer: 3208*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/360 - j**4\/144 + j**3\/18 + 5*j**2. Determine i so that p(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1007*l - 1948. What is b(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 2 - 2 + (-19 + 3 + 6)*(-3 + 3 - j) + 158*j - 4536 + 4536.\nAnswer: 170*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.87 - 0.13. Let r = p + -6. Let j = r + 16. What is the nearest to -0.2 in j, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450899.9 years to centuries.\nAnswer: 4508.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122991 by -916.\nAnswer: 122991\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1180, -1, -4, 2 in descending order.\nAnswer: 1180, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -11 + 9 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 5, a: 1, e: 2, k: 5, f: 5}. Give prob of picking 1 a and 3 k.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let j(h) = -2*h + 1. Let v(k) = -4*b(k) - j(k). Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**2 - z - 1. Let m be i(1). Let k(o) = -o**2 - 10*o + 10. Let u be k(m). Let q = 2 + u. What is the least common multiple of q and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -790*k**3 + k**2 + 6*k - 9. Let n be z(2). Let y = 2178 - n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n. Suppose -56*v = -46*v. Let b(u) be the second derivative of 0*u**2 - 10*u + v + 2\/3*u**4 + 0*u**3. Calculate b(t(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05107 - -12?\nAnswer: 11.94893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1199, -1201, -1203, -1205?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 142 + 3\/(3\/2). Let w = -3 + 8. Suppose y + 194 = w*l, -2*l = 2*l + 2*y - i. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -20038, 4, -5 in increasing order.\nAnswer: -20038, -5, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -16, 1\/2, 2\/3, -1\/46?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i + i**2 + 3*i - 7*i. Let b be o(-5). Solve b = c - 2 + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82*i - 275*i + 51*i)*(6 - 10 - 9 + (-2 + 2 + 2)*(4 - 1 - 1) - 1 - 4 + 4 + 5 - 2 + 1) to the form v + n*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 792, 791, 790, 789?\n\"Answer: -f + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001111001 + -110?\nAnswer: 10010001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:15 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -281363 take away 1621096.3?\nAnswer: -1902459.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -84*q**3 - 13*q**2 - 254*q - 9. Let f(o) = 42*o**3 + 6*o**2 + 127*o + 4. Let x(d) = -9*f(d) - 4*t(d). What is the second derivative of x(a) wrt a?\nAnswer: -252*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/1052 and 9\/16.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1337359 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, -44, 5 in increasing order.\nAnswer: -450, -44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 2*s = -130 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86.6 - 87. Let z = -107.8 - -108. What is the second biggest value in -1, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p**3 - p**2 + 1. Let a = 4 + -1. Let j = -59 - -62. Suppose 3*h - 4*h + 5 = -j*n, 4*n = 5*h - a. Determine s(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 1430.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -29 + (-2 - -5) + -3 + (-1638 - -1632).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 74*i - 294. Determine f(-19).\nAnswer: 3278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49867 plus -0.2?\nAnswer: 49866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184753 is divided by 350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -132414544?\nAnswer: -132414550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809558 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfw when three letters picked without replacement from vwvfvfvppwnov.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-1)*j)**44*(j**(-1\/2))**(3\/17) assuming j is positive.\nAnswer: j**(7477\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 125*x**2 - 589*x. Let k be d(5). Calculate the greatest common factor of k and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 17ec?\nAnswer: -17e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/360 - 17*c**4\/144 + 13*c**3\/9 - 379*c**2. Solve m(g) = 0 for g.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 3) in base 16?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Let b(d) = d**2 - 5*d - 8. Let p be b(h). Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 479 (b) -1141\/13 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*v**4 + 3 + (128*v - 128*v + 18*v**4)*(4 - 9 - 6).\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.4375 tonnes to micrograms.\nAnswer: 952437500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679010.\nAnswer: 2, 5, 67901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-105))\/((-9)\/(-3)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*y - 13 - 27 = 0, 5*h - 164 = -y. Suppose 5*g = g + h. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87151, 697124, 2352763, 5576902, 10892375, 18822016?\nAnswer: 29888659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 120 = 3*m - 4*z, -z + 173 = -4*m. Is m less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 7*t - 8*t = 2, 5*v - 8 = 4*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, -3, -156, -371, -648?\n\"Answer: -31*x**2 + 2*x + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 8*z**2 - 15*z + 9. Let s(o) = -o - 1. Let a(u) = -g(u) + 3*s(u). Let b be a(7). Solve 3 - b = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = -7*q - 380. Let f = q + 140. Which is the smallest value? (a) 13\/6 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5419*f - 142.\nAnswer: 5419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*g - 20, -6*c = -5*g - c - 20. Sort g, -1\/4, 2\/17, -3 in decreasing order.\nAnswer: 2\/17, -1\/4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 39*r - 155. What are the prime factors of l(-30)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 835275 + -1?\nAnswer: 835274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 6. Let l be j(1). What is the second derivative of 131*m + 9*m**l - 72*m + 7*m**2 + 0*m**2 wrt m?\nAnswer: 54*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354 + 364. What is the fourth biggest value in -0.1, 2\/13, 3\/7, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -896c (base 13) to base 6\nAnswer: -224455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 15 + 15. Let t be (-1 - 4\/(32\/(-4)))*-4. Let p(s) = t*s**2 + 3331 - 3331. Give m(p(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22161322.2 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 418?\nAnswer: -501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 greater than or equal to -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 + 5*w + 5. Let m be g(-4). Let f(q) = q**3 + q**2 - 15*q + 23. Let u be f(4). Does 5 divide 5 - (5 - u) - m*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -3084, -10459, -24870, -48675, -84232?\nAnswer: -133899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 224. Let s be g(-56). Let m be (-1 + 59\/11)\/10. Let b = 651\/1870 - m. Is b less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893689*n - 893698*n - 369 = 0 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(28\/21)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(b - b + b + (-b - 1 + 1)*(3 - 6 - 4)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 12 = -23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6386185 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:08 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 - 3*q - 11. Let d be c(-6). Let y(b) = b - 5. Let r be y(5). Suppose -5*p + d + 3 = r. Solve -p*j = j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 2. Is 5 + a + 189 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 0. Let g = c - -2.8. Let l = -18 + 21. Are g and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(y + 3 - 3) - 4*y + 2 + 3*y - 2*y to the form p*y + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001833 rounded to seven decimal places?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335242.9836 + -335145. Let s = -5.92 - -103.92. Let f = s - n. Round f to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 63*a**2 - 279*a + 9. List the prime factors of d(26).\nAnswer: 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9433, -10018, -10421, -10648, -10705?\nAnswer: -10598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 13*m + 24. Let t be c(13). Are t and 24 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117))\/sqrt(9) + sqrt(13) + 5.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*f + 15, -3*f - 20 = -4*z - 2*f. Let v be (5\/((-50)\/305))\/((-2)\/8). Suppose -z*m + 3*m = v. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from iaaaanaiiaaeeiihnii.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 3*b = 4451, -b + 4443 = 5*f. Let h = f + 28011. Round h to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 11*f - 19. Let m be c(13). Suppose 8*j - 16 = -5*k + 6*j, -2*k - j + m = 0. Put 15, k, 0, -2 in increasing order.\nAnswer: -2, 0, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2009738250 and 702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15115091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8*f + 3. Let i(y) = -y**3 - 6*y**2 - 8. Let v be i(-6). Let z be x(v). Let q = -0.26 - -0.66. What is the smallest value in z, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -685*((-4)\/(-14) - (-561)\/(-1155)). What is the first derivative of -144*m**3 + t - 91 + 34 wrt m?\nAnswer: -432*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c4420 (base 13) in base 2?\nAnswer: -10011110000011010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 12*d = -27. Suppose 0 = -v - 3*j + d, 5*v + 2*j - 7 + 1 = 0. Solve v = a, -5*f - 5*a = -6*a + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9480 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from llqyqqlyyqq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188 + d59?\nAnswer: bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 22*v + 7. Let n be (-8)\/(-132)*-3 + (-1 - (-1145)\/(-55)). What is r(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 2\/19 (c) -2.1 (d) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411*p**3 + 36*p**4 - 5*p**2 + 148*p**3 + 2*p - p**6 + 153*p**3 + 133*p**3 + 85 wrt p.\nAnswer: -120*p**3 + 864*p + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 + 9)*((-3225)\/(-3483) - 2\/(-27)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 71. Calculate l(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkgykkzza. Give prob of sequence kk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8787179*c*f**5*t - 4*c*f**3*t + 6*c*f**2*t + 163529*c*t - c - 3*f**2 wrt f.\nAnswer: 527230740*c*f**2*t - 24*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -134813534996+29\nAnswer: -134813534967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34389 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + sqrt(36)\/(sqrt(45)\/sqrt(5)))\/sqrt(2))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34c (base 13) to base 16.\nAnswer: -23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 163 - 160 + 296. Determine r(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m**(2\/5)\/m)*m*(m*m**3*m)\/m*m*m*m**5)\/((m**(-1\/4))**(-13\/3)*m**(1\/2)\/(m**(2\/15)*m)) assuming m is positive.\nAnswer: m**(1741\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 1 - 3424\/320.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798*r = -1515*r - 3*j + 238, 16 = -r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 3*y - 33 = 48*l + 2*y, -2*l - 24 = -y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4394)\/195)\/(2\/(-10)*-8). What is the second biggest value in v, -3, -1\/3, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/100877898 or 1?\nAnswer: 5\/100877898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257305164.\nAnswer: 2, 3, 21442097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18602 - -18605. What is the closest to 0.1 in t, 0.3, -21\/68?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -1 + -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7347911*t. Let s(a) = 7*a**2. Give i(s(c)).\nAnswer: -51435377*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -84. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-374)*-6*4\/18\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 107.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 - 57*v - 171. Let n be w(-3). Let p be -2*2\/(-8)*22. Let q = p + n. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -2)*27\/(-9). Calculate the highest common divisor of 1206 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -819.0312 + 0.1312. Let k = j + 778. Round k to zero decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -q + 3*o, -4*o = -4*q + 4. Suppose q*r = -4*r + 60. What is the remainder when 57 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) -2\/63 (b) -35 (c) -3 (d) 0.1 (e) -5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 34 = 3*d + 28, 4*d - 8 = -5*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**4*r**3 + 268*o**4 - 766*r**3 with respect to o.\nAnswer: -20*o**3*r**3 + 1072*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00078102523 to five dps.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168477 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 (base 7) in base 14?\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43\/2 + -211\/10. Let u = -10 + 7. Which is the third biggest value? (a) -5 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 52*z + 37. Suppose 2*y + y = 9. Let a be (y\/(-3) - -1)\/z. Solve -2*l + a*l = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1879285 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h - 4*w = 64767, -3*w = -5*h - 64781. Let n = -62363\/15 - 1848593\/210. Let g = n - h. What is the common denominator of 37\/78 and g?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 6, d: 3, b: 1, w: 6}. What is prob of picking 1 b, 1 d, 1 w, and 1 r?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 2, b: 1, q: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z - 1. Let k be y(-3). Let d = -95 + 104. Suppose 0 = k*l - 2*l - d. Solve 4*u = -3*t, -l*t + 0 - 9 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15824391 (base 10) to base 9\nAnswer: -32687876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 18*w**5\/11 + 1030*w**4\/11 + 8490*w**3\/11 - 7470*w**2\/11 - 188*w = 0.\nAnswer: -47, -11, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3713 + 3712.8. What is the nearest to 4 in 1\/7, 2, -0.4, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w - 39*w + 14*w**2 + 100*w - 31*w.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -695*j + 560*j - 333*j + (2 - 1 + 1)*(-4 + 4 - 3*j) in the form q*j + v and give q.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0430219 + 1.6429869. Let p = c - 1.6. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 0*p**5 - 2*p**5 - p**5 + 3*p**5 - 3*p**5 + (-p - 2*p + 2*p)*(-1 + 2*p**4 + 1) - 4*p**5 - p**5 - p**5.\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.62 + -1.5. Let g = 0.32 - z. Let j = -1 + 1. Which is the second biggest value? (a) g (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 - 386*d\/11 + 840.\nAnswer: 2*(d - 165)*(d - 28)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1744 + 1745. Solve -y = -2 + 1, -h = -2*l + 3*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.337 - -2.037. Let q = -5.3 - -0.3. Let x = -7 + 6.8. Which is the second smallest value? (a) d (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 30*g - 140 = 0. What are the prime factors of 4 + 126\/g - (-5154)\/15?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 24. Let j be n(-6). Suppose -w = q + 2*w - j, 0 = 5*w. Calculate the remainder when q is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 6 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9631.811578 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -854 or -847?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23228 is divided by 1794?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 863 + -853. Suppose -3*i + 0*i + 60 = 0. What is the least common multiple of i and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4417208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 647*b**3 - 4*b**2 + 4*b + 8. Let k(f) = -650*f**3 + 5*f**2 - 5*f - 10. What is 4*k(m) + 5*s(m)?\nAnswer: 635*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5411, -4 in increasing order.\nAnswer: -27, -4, 5411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18612 + 18612.000005041. Round j to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187 - -4504140?\nAnswer: 4504337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*l = -l - 634, b + 4*l = 136. Suppose -175 + 47 = -8*c. Calculate the greatest common divisor of b and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 + 9770*l - 794400 = 0.\nAnswer: -4965, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1406, -878, -3162, -5446?\nAnswer: -7730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 10.56686.\nAnswer: 10.76686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-44))\/((-4)\/(-1))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2947*q - 1041140 + 1041140 to the form t + f*q and give f.\nAnswer: -2947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(-1 + sqrt(192)))**2 - sqrt(192) - -4*(sqrt(192) - (sqrt(192) + 0))) + -3)*3.\nAnswer: -456*sqrt(3) + 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Solve -5 = -5*p, p - l = -4*h - 0*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35*1*(68\/(-14) - -4). Let b = 25 - f. Let i(w) = -4*w**2 - 2 - w**3 + 6*w**3 - 6*w**3 + 5*w. Calculate i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5635 and -152530891?\nAnswer: 152536526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1127\/4 + 7873\/28. Sort 0.2, -31, -3, n, 4.\nAnswer: -31, -3, n, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*a + 96, 2*b - 30 = -8*a + 6*a. Let m = b + -13. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 19*b = 32. Let w be -12 - b - -2 - -8. Determine r so that 1\/2*r**4 + 0*r + 0*r**3 - w*r**2 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072593 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:34 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798\/(-855))\/((-33)\/(-165)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88553356\/94493 - 12\/13499. Are l and -938 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 - 1. Let g be 2\/(-7)*1 + 90\/21. Find a such that -j*a**2 - 83*a + 91*a - 4*a**2 - g + 2*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z\/(z\/z**(-11))*(z**(-1\/3))**(-4\/21) assuming z is positive.\nAnswer: z**(-626\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, 1\/9, 16.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34 + 62 + 12 + 58*v + 12*v**2 + 6*v**2 - 16*v**2.\nAnswer: 2*(v + 2)*(v + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 301 - 243. What is the remainder when 72 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 17*z**2 + 45*z - 185. Calculate i(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u + 9. Suppose -4*m - 36 = 5*m. Let s be ((-3)\/m)\/((-42)\/(-224)). Let g be d(s). Sort 11, 5, g in descending order.\nAnswer: 11, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 198 - ((-1)\/3 - (-20)\/6). What is the highest common divisor of s and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*q - 30 = 0, -6*u = -2*u + 2*q + 16. Let f(w) = -10*w + 116. Let c be f(12). Put c, u, -1 in descending order.\nAnswer: -1, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 4.03. Let u = 317545\/24 - 39692\/3. Which is the biggest value? (a) 0.1 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(132))\/sqrt(12))**2 + (0 + sqrt(11))**2 + 5 + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 27, 67, 123, 195?\n\"Answer: 8*a**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -15. Let y = -0.4 - 1.6. Let u = 0.0815 + -0.0815. What is the nearest to u in y, q, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 18*h**2 + 24*h + 8. Let i(w) = -2*w**3 - 19*w**2 - 25*w - 8. Let q(k) = 6*i(k) + 7*j(k). Suppose q(v) = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 18*f - 7*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 50. Let a = 23.00017 + j. Round a to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/16 - 681*n**3\/2 - 8175*n**2\/8 + 4479*n. Factor g(x).\nAnswer: 3*(x - 2725)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66030, 132571, 199112, 265653, 332194, 398735?\n\"Answer: 66541*g - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4099 = -3*i, -2*i + i + w + 1367 = 0. Suppose 2*g = g + i. Let n = g + -954. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c - 2. Let o(v) = 5016*v. Give p(o(q)).\nAnswer: 30096*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1, -7.3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1303 - -1370. Which is bigger: t or 65?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 519 = 4*j, 3*b = 4*j + 7*b - 516. Put j, 5, 2 in ascending order.\nAnswer: 2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231441839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1 + 0 + 0)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(18\/(-180)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 50. Let k be p(-7). Sort 4, k, -5.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.24 + -25.18. Let r be 10 + 0\/(-3) + 0. Let w be (16\/30)\/((-4)\/r). What is the third smallest value in w, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 60\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + -2702214.\nAnswer: -2702214.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l**3 + 5*l**2 - 12*l + 6. Let p be x(1). Sort p, -4, 4 in ascending order.\nAnswer: p, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 l when four letters picked without replacement from gglmggggulgm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478852*u = -6*d - 478850*u - 88, -5*u + 150 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 69. Let l be 460\/6 - (-4)\/z. What is the highest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 506\nAnswer: -7084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 + -2 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/8 - 310\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(450))**2 - (sqrt(192)\/sqrt(192))\/sqrt(8)) + ((-4 + sqrt(162) + (sqrt(162) + -1*sqrt(162))*-4)*3)**2.\nAnswer: -2593*sqrt(2)\/4 + 2050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + -1*-2*sqrt(68))**2 + 5) + 1.\nAnswer: -64*sqrt(17) + 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -45. Suppose 3*r + 123 = -3*m, -5*m - 3*r - 39 = 164. Let v = d - m. Which is the closest to -2? (a) -2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkknnkkknkn. Give prob of sequence knk.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/2765 - (-25 + (-77561)\/(-3080)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Suppose -2 = -t + 1. Calculate j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23034755*a**2 + 26859543 wrt a.\nAnswer: 46069510*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:24 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474336319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(22\/((-4004)\/(-13)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2 + (4 - 1 - 2)*(0 + 4 - 3) + 0 + 0 - 1 + 1 + 1 - 59)*(-5*h**2 - 4 + 4) as l + q*h**2 + j*h and give q.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/6*(-10)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 3\/7 (c) -0.013 (d) -2.3391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Suppose 5*l + 4*v = 9, o*l + 5*v = 3*v + 17. Suppose -202 = -l*g + 98. What is the greatest common factor of 40 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21413)\/(-1610))\/((336\/(-30))\/(-4)))\/((-1)\/8).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/3)\/(x\/x**5)*(x**(1\/4))**(-47) assuming x is positive.\nAnswer: x**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92650108 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:16 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*z - 2*z - 5*h, -4*z - 5*h = 1. Suppose 1 = p - z. Is 2 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:53 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxbxxxxxbxxxxxx. Give prob of sequence xb.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 880004722, 880004724, 880004726, 880004728, 880004730?\n\"Answer: 2*q + 880004720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.72 - -0.62. Which is the second smallest value? (a) 3 (b) -0.3 (c) z (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 3*h**2 + 4*h**2 - h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55431*m**3 + 129446*m**3 + 105478*m**3.\nAnswer: 179493*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 4.7. Let r = p + -4. Let y = -4.7 - -4.3. Which is the third smallest value? (a) -0.5 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81164.34 milligrams?\nAnswer: 81164340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(3\/8)*z*z**(-16)*z*z**(-2\/11)*z**(-7))**(-7\/3) assuming z is positive.\nAnswer: z**(11585\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*((-4)\/(-32) - (-1558)\/(-19760))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 2. Let m be r(1). Let n = 21 - m. Suppose 0 = -6*x + 46 + 548. Calculate the highest common divisor of n and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/173220 and 125\/396.\nAnswer: 5716260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 2\/3 (b) 2 (c) 0.31 (d) 2\/9 (e) -420\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -35*p + 2. Let d = -34 + 34. Suppose 4*w - 2 + 10 = d. List the prime factors of y(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/3926 and 77\/52.\nAnswer: 7852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyyeyryeyeyh. Give prob of sequence er.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/2 + 44315*r\/2 - 2363850.\nAnswer: -5*(r - 8755)*(r - 108)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 854107007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 46. Calculate the least common multiple of 68 and u.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = n + 1, 4*g + 5*n + 15 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 129.9999947. What is b rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 889 (base 16) to base 6\nAnswer: 14041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 280\/36 - 2\/(-9). Suppose r - z = -r. Let v be (-1)\/(-3) + (-46)\/102. Which is the third smallest value? (a) v (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096701 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -26. Suppose -201*d + 196*d = -200. What is the highest common divisor of g and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2 - f - 4. Let k be r(3). What is the closest to k in 2\/5, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.9 - -9. Let k = 0.3 + -0.29. Let b = -2.01 + k. What is the nearest to f in b, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 2. Suppose 0 = -g - 59 + 16. Let z = 46 + g. Let h(v) = v + 2. Give z*h(k) + 2*p(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 546 = 13*u. Suppose 81*l = u*l. Solve 4*c + 17 = 3*g, 3*g - 6 - 3 = l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/2 - 42\/(-8). Suppose v = -f - 4, -5*v + v - 2*f = 8. Suppose k = -v*k. Which is greater: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12 and -85\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6148, -6146, -6142, -6136?\nAnswer: -6128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -159 - -154 - (-25)\/1. Solve -6*x = 4*x - i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*b - 22*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45 + 14*d**3 - 30*d**3 + 16*d**3 + 36*d**4 wrt d.\nAnswer: 144*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.326846 to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -17. Find the common denominator of ((-55)\/(-12))\/(3\/l) and -1 + 2 - 222\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 36 + 0 = 0. Let k be 61\/c - (-4)\/18. Let l = -9 + k. Is -2 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109689826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-25)\/(-75))\/(56\/12)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 1255839.7.\nAnswer: 1255838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) -5 (c) -0.14 (d) 1 (e) 0.2052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0057, 0.5, 12041.\nAnswer: 0.0057, 0.5, 12041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8904*c + 13362 wrt c.\nAnswer: 8904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 + 408. What is the greatest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200141731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*4\/7. Let w = -0.1819 - -4.1819. What is the second biggest value in -7, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.96. Let y = -53 - -49. What is the second biggest value in y, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -4.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3 + 182459*k + 1532619?\nAnswer: 3*k**2 + 182459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.32 - -53?\nAnswer: 77.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.9 or 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*k - 24*k**2 + 20\/3*k**3 - 18 - 2\/3*k**4.\nAnswer: -2*(k - 3)**3*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 times -232?\nAnswer: 60320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4384012mg to nanograms.\nAnswer: 438401.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24209868*x + 11982183 wrt x?\nAnswer: -24209868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 544 + 544)*(4*h + 2*h - 4*h)*(5*h - 2*h - 4*h + (-3 + 2 - 1)*(h + 3 - 3)) as r*h**2 + s*h + g + w*h**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 + -120?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 884830765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881 + -4 + 3\/(-3) + 3?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734189?\nAnswer: 734189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 23*u - 382. Calculate c(15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.8. Let l = 11 - 8. Let i be 5\/(-7) + (-20)\/70. Which is the third smallest value? (a) l (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -805, -1108, -1537, -2092, -2773?\nAnswer: -3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51386356, 102772712, 154159068, 205545424, 256931780, 308318136?\nAnswer: 359704492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - i - 1. Let f be v(-1). Let j = -18 - -23. Suppose 2*r + 1 = j. Solve f*l - 12 + r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 2*r. Let k be f(2). Let t be 50\/18 - (-8)\/k. Let d = t - -18. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1010)\/48 + -2 + (-26)\/208 and 139\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s - 6*s - 4 + 3*s - s**3 + 2*s**3 + 6*s**2. Does 25 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z - 47. Let o be n(0). Let w = o - -142. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102 + -1376026?\nAnswer: -1376130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b + 7*b**2 - 54 + 15*b - 2*b**2 + 20*b. Does 27 divide i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 - (-9 - -15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 231. Let g be -5 + (-15)\/(-5) + 5. Suppose -r + m + 26 = 0, -29 + 111 = g*r - m. What is the highest common divisor of r and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1530)\/935*115\/(-1242)?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(204)*2 + sqrt(204)*-1*-3)\/(6*(sqrt(12) + sqrt(576)\/sqrt(3))))**2.\nAnswer: 833\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 553*c + 1429. Let b be f(-2). Calculate the greatest common factor of b and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*o + 11 = -4, u = -4*o - 12. Let n(s) = -807295 - s**2 + 7207295 + 0*s**2 - s. Let z be n(u). Round z to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:25 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 68*y**2 - 754*y - 73. Calculate j(54).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 135?\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + 1 + sqrt(14)\/sqrt(2) + 3.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -3911 (c) 2\/59 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 135. Let m = -45 - f. Let g = 49.021 - m. Round g to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 691*c**2 + 875 wrt c.\nAnswer: 1382*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 0.06. Which is the closest to q? (a) 0.2 (b) 1\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41c (base 16) to base 4.\nAnswer: -100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7723 (base 9) in base 5?\nAnswer: 140231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3464764 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3 = 2*j - 5*a, 2*j - 2*a = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 3*b - 2. Let k be f(-2). Let s = 12 + k. What is the remainder when s is divided by (5\/(-15))\/(2\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/2 - 1 - (-132)\/(-264). Which is the biggest value? (a) h (b) 5 (c) -2\/5 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n + 35*n - 15*n - 10*a - 26, 0 = 3*n - n + a - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 439 = -1209. Suppose -66*j + d*j = 0. Solve j = -5*s - 4*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 (base 12) in base 4?\nAnswer: 201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.043 and -55656.\nAnswer: -2393.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8506 is divided by 944.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50346 and 6.\nAnswer: 50346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 1.17, -17.5, 2, -4 in descending order.\nAnswer: 4, 2, 1.17, 2\/7, -4, -17.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*j**5 - 307*j**4 - 29*j**3 + 1858244*j**2?\nAnswer: 3300*j**2 - 7368*j - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(1216)*-1 + 4)*5 + -1)*-1*3*-3)**2.\nAnswer: -220320*sqrt(19) + 2556036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((1\/(-3))\/(-1)) - 3. Suppose -c*o = 4*o - o. Find u such that 0*u - 2\/11*u**4 - 4\/11*u**3 + 0 + o*u**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) - (sqrt(175)*-2 + sqrt(175)))\/sqrt(7))\/(3*sqrt(35)\/sqrt(7)) + 0)**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 74*w + 11. What is d(-3)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -437626465*l**4 - 522590648 wrt l.\nAnswer: -1750505860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -48*j**2. Let o(c) = 600*c. Calculate o(x(b)).\nAnswer: -28800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 - 6*c - 5. Let k be h(9). Suppose -k = -4*s - 2. Suppose -4*a - 44 = -7*a - s*x, 28 = 4*a - x. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 14*h**2 + 3*h + 11. Let k(y) = y**3 - 7*y**2 + y + 5. Let z(p) = 5*k(p) - 2*l(p). Let v be z(-7). Solve -i + v = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - (sqrt(750) + -2*sqrt(750)))\/(sqrt(18)\/(-1*sqrt(3))) - (-4 + sqrt(55)\/((sqrt(132) + -3*sqrt(132))\/sqrt(12))))**2.\nAnswer: -76*sqrt(5) + 1869\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*k - 4716563 = 983173. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133*q - 277*q = -22256 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g**2 + 2*g + 1. Determine y(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11945946 by 3981982.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -667, -663, -657, -649, -639?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567151375 is divided by 591.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 0*s. Suppose 3 = h, -2*h + 28 = 2*k + 12. Suppose -f + 4*f - 32 = k*q, 12 = 3*f. Sort s, q, 0 in decreasing order.\nAnswer: 0, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.416 + -0.016. Let b = -2.4 + p. Let u = 979\/56 + -125\/7. What is the biggest value in b, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 81 + 15. Let q be (-440)\/n*18\/(-5). Let j = -60 + q. What is the highest common factor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1102*l + 380 = -1082*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125094 is divided by 62547.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3 - 16*i + 4*i**3 - 5*i**3 + 21*i**3 wrt i?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632389.4mm in micrometers?\nAnswer: 632389400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 7 - -1323) + (-6 - (6 - 7)) is divided by 1321.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 16. What is the common denominator of k\/(-28) - (-87)\/112 and 57\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -78\/101827 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 261*k + 834*k - 263*k - 312*k.\nAnswer: -2*k + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)\/(f*f**(1\/8)) assuming f is positive.\nAnswer: f**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347 + 1221*u - 586*u - 638*u)*(-2*u + 3*u - 2*u)*(-u + 6*u - 4*u).\nAnswer: 3*u**3 - 347*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, h: 4}. What is prob of picking 1 h and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:54 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6526746 divided by 18?\nAnswer: 362597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -556 - -561. What is the second biggest value in -0.3, -2, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let t be (44\/6)\/((-2)\/24). Let i(g) = 32*g**2 + 32. Let b(j) = 73*j**2 + 61. Let k(x) = -4*b(x) + 9*i(x). Determine t*h(v) - 2*k(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*n + 2433*n + 1633*n - 128156 = 0 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 27*h + 244. Let u be w(-9). Sort 3, u, 23 in decreasing order.\nAnswer: 23, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-4) + 339 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 27158 + 2446513 = 25151. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000100111 (base 2) to base 6\nAnswer: 4531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = x - 3*i, 3*i = -15. What is the remainder when 1\/(x - (-8)\/(-2))*35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662)*1 - sqrt(22))\/((sqrt(99) - -1*sqrt(99))\/sqrt(9)) + (sqrt(108)*-6 - sqrt(12))\/((sqrt(6) - sqrt(72)\/sqrt(108)) + sqrt(6)))**2.\nAnswer: 2048\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 5:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let h(v) = -23176 + 10*v - 23177 + 46368. Let y = 7 - 5. Suppose y = -2*r - 0. What is r*h(o) - 15*n(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:01 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1589?\nAnswer: 14301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 10*a + 8. Suppose -a*c = -c + 4. Suppose -249 = -2*r - 247. Put -3, r, 3, c in descending order.\nAnswer: 3, r, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/60 + 13*l**4\/24 - 10*l**3\/3 - 7*l**2. Let i be v(-15). Let m = -25 - -65. What is the highest common factor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((126\/24)\/7)\/(1\/(-4)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -432*i - 4745. What is r(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.8218031 - 0.181498.\nAnswer: 32.6403051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 9 = -9*s. Suppose 5*k = -3*f - 64, 5*f - 38 = -k + s*k. What is the tens digit of (-4)\/k + 1935\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409*x**2 + 3 - 3 - 383*x**2 to the form q*x**2 + o + k*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -3*u, 4*u - 5 = -z + 12. Suppose -u*r + 20 = -32. What is the remainder when 18 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/13 - 170*r**4\/13 + 21238*r**3\/13 + 132698*r**2\/13 + 68156*r\/13 - 221920\/13 = 0. Calculate r.\nAnswer: -152, -5, -2, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n. Let b be t(-2). Suppose 5*v - 591 = -0*v + 4*c, b*v = -3*c + 448. Suppose r + v = 6*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.153? (a) -3 (b) -0.2 (c) 1.3 (d) -43.6 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-90))\/((-36)\/(-45))*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*1 + (-3)\/(-18)*0. Let s be (2\/17)\/(3\/((-9)\/o)). Put -5, -0.5, 2, s in ascending order.\nAnswer: -5, -0.5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 202*a - 31515. What is v(156)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = 4*t. Suppose -t*o - 27 = 1. Let i(r) = 5*r. Let v(j) = -2*j - 2. Let a(k) = 4*k + 5. Let g(z) = 2*a(z) + 5*v(z). Give o*g(b) - 3*i(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5. Suppose 0 = -2*w + 4*w - 88. Calculate the remainder when (o\/((-2)\/w))\/(-1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 8*f - 2. Let d be y(-9). Let p = 3 - d. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 - 164*v**4\/3 - 1104*v**3 - 4032*v**2 + 71424*v + 497664 = 0. Calculate v.\nAnswer: -54, -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-368)\/(-14) - 2\/7. Calculate the highest common divisor of u and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a - 50 = 0. Let p(r) be the first derivative of 13*r - 1\/3*r**3 - 4*r**2 - 79. Give p(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1726076 and -53\/114.\nAnswer: 98386332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1596 - -1597. Let p(m) = 8*m + 18. Let s(u) = -u - 1. What is w*p(b) + 10*s(b)?\nAnswer: -2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3312 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*y + 8 = 0, -12*v + 7*v - y = 24. Let l(k) be the first derivative of -2*k**2 - 12*k - 3. List the prime factors of l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1 (c) 0.4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58449 - 65?\nAnswer: 58384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 0*i - 4*i)*(2 - 12 + 1)*(-840 + 146 - 182) to the form q + m*i and give m.\nAnswer: -7884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1162*o**4 - 2*o**3 + 8839*o**2 - 9073151*o wrt o?\nAnswer: 13944*o**2 - 12*o + 17678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*s - 0*s. Suppose 3*h - 12 = 0, 5*h - s = -p - 0. Calculate the highest common factor of p and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 m when four letters picked without replacement from {m: 19, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5836 or 8206?\nAnswer: 8206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -12 (c) 15\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-47 - 71 - -90)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 581\/4. Let v be (-1)\/6 - 254\/(-60). Let u = v - 11\/3. What is the smallest value in 0.3, u, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-50)\/(-15))\/((-2)\/(-3)). Suppose l*w = -4*x + 44, -2*w - 3 = 5. Calculate the greatest common factor of 176 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -0*v + 5*v + 5*a, 2*a - 11 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - q - 90 = 0, -2*s + s = q - 48. Let k = 67 - s. Calculate the remainder when k is divided by (-4)\/14 + (-158)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssqq when four letters picked without replacement from {s: 11, q: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62229\/34 + -1830. Let z = -560509\/22 + 77375\/11. Let p = 18447 + z. Calculate the common denominator of f and p.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2415.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from xxxxxxtttxbtx.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -396*s - 37082. What is o(-94)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542437369 plus 1188?\nAnswer: 1542438557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:27 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11 + 7 - 23*k**3.\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(k + 2*k**4 - k) + (-90*k**2 + 182*k**3 + 90*k**2)*(-7*k + 2*k + 3*k) + k**4 + 0*k**2 + 0*k**2 + k**4 - 3*k**4 + k**4.\nAnswer: -358*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 0.4604 (c) 13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*2)\/(25\/(-1300)). Let s = -308 - t. Which is the fourth biggest value? (a) s (b) 3 (c) 9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 311 = 321. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/68 equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-55)\/30)\/11)\/(4\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.4952 and 777.\nAnswer: -8154.7704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x. Let j(a) = -250*a**2. What is j(g(v))?\nAnswer: -6250*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 4*u + 30. Which is the closest to -1? (a) u (b) -0.2 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 385, 383?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdv when three letters picked without replacement from pvveqepqvlld?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 30045*c - 180378.\nAnswer: 3*(c - 6)*(c + 10021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -37*m**2 + 11*m + 0*m - 2 - 2 + 45*m**2 + m**3. Let y be h(-6). Which is the nearest to -0.1? (a) -4 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/54 - q**3\/27 - 6*q. Factor h(b).\nAnswer: 2*b*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = -5*l. Suppose l*b = 1 + 7. Let n = 220 - 220. Solve n = b*g + 13 - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565705.\nAnswer: 5, 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5204.89.\nAnswer: -15614.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 209*m**2 - 22*m**3 - 209*m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236922357?\nAnswer: 11, 83, 569, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 3, -2\/245, -0.5, -64?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188023*i + 0 - 188019*i - 1 - 8*i**2 + 8*i**3)*(-1 + 5 - 1).\nAnswer: 24*i**3 - 24*i**2 + 12*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1315, -2630, -3947, -5266?\n\"Answer: -z**2 - 1312*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 939043*b\/10 - 156507\/10.\nAnswer: -(b - 156507)*(6*b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035441844 rounded to 4 dps?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 4*r + 4*r + 4*r + 0*r - 5*r + (r - 4*r + r)*(-2 - 1 + 1) + (5 + 3 - 3)*(-8*r - 14 + 8*r - 2*r).\nAnswer: -8*r - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-52)\/(-650)*-280)\/(16468\/5490 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 95 = -19*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from rbrbbr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, 1, -6.14 in decreasing order.\nAnswer: 1, -6.14, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39627, 80446, 122459, 165666?\n\"Answer: 597*p**2 + 39028*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 + 23*u + 27*u + 5 + 4*u - u + u + 15*u - 7*u - 12*u + (-3 + 4 + 0)*(u + 0 + 0) to b*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2968 - 2972. Let c(j) be the third derivative of -j**4\/4 - j**3 - 2*j**2. What is c(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157379\/22662 + -2\/11331. What is the common denominator of b and -25\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -46, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -41*d + x, -5*x + 1324 - 1325 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:57 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5021.66 millennia to decades.\nAnswer: 502166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:50 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*h - 36 = -72*h + 144*h + 3*k, 3*h + 15*k + 252 = -6*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -20b?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -137, -202, -269, -338?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -16 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030788696749 to six decimal places.\nAnswer: -0.030789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3134838896888 + 0.3\nAnswer: -3134838896887.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2b6 - 4?\nAnswer: a2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -362 + 802. Let o = 439.99557 - b. What is o rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 82*l**2 - 1142*l - 3. Let h be p(14). What is the highest common divisor of h and 2079?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66507*739\nAnswer: 49148673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075045 rounded to five decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from gggegglffgglgg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 - 137*i**2 - 30*i - 96. Give g(23).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1362 - -194. Let i = c + -307. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/60 - 7*a**5\/120 + a**4\/24 + a**3\/12 + 4*a**2 - 11*a. Factor w(y).\nAnswer: (y - 1)**2*(4*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 24311 + 2663 = 0. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 + p**2)*(-3 + 3 - 2 + (1 + 2 - 2)*(-3 - 2 + 6))*(-3 - 1 + 3).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98782, -98306, -97512, -96400, -94970, -93222, -91156?\nAnswer: -88772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, -1\/7, -618, -5\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 19 = 17*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -22)\/(-24) - -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + ((-9)\/12)\/(3\/(-24)). Suppose -3*m = 4*g + g + 461, r*g = -5*m - 267. Let s = 194 + g. 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 third biggest value in 1.1, -0.1, 4\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009292403 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13132 and 96?\nAnswer: 315168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)**(-10\/17)\/(a**5\/((a*a**(-1\/23))\/a*a)) assuming a is positive.\nAnswer: a**(-1351\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 59 - 179 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47215.734 and -18.5.\nAnswer: 47197.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 + 1.65. Let y = a + 1.45. Sort -3\/8, y, 0.3, -1 in decreasing order.\nAnswer: 0.3, y, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (14 + (-11 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 32. Let r = -11 - w. Suppose 0 = r*j - 67 - 28. What is the remainder when 37 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 15540*z**3 + 21323991*z**2 + 3059409366*z = 0. What is z?\nAnswer: -2509, -162, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x - 45. Let i(j) = j**2 + 2*j - 8. Let n be i(3). Is 27 a factor of v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzuuuuuzdzzuuuuuuz. What is prob of picking 3 z and 1 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -278150908 - 3852312\nAnswer: -282003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 52. Let c be q(7). Suppose p = 13 - c. Let l(d) = 6*d + 4. Let o(r) = -5*r - 3. Determine p*o(h) - 3*l(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/11, 1, -6, -37, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 105876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 113624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 114 = -86. Let w be 3\/5 - 1*(-15)\/b. Let l = -7 - -11. Put w, l, -2 in descending order.\nAnswer: l, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 + 4 = l, -3*u + 25 = 5*l. Let h = 7 - l. Let c = 53 + -21. Solve -g + 9 = b, -g = 4*b + h*g - c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 1145929.\nAnswer: 88\/1145929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 810?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 40452, -3 in descending order.\nAnswer: 40452, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 6 = -24. Suppose 2*i + 10 = v, 0*i + 4*i + 24 = 3*v. Let 0*o**4 + 3*o**4 - o**v + 0*o**3 + 4*o**5 - 4*o**q - 2*o**2 = 0. What is o?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcwwkwwkkkcwucc. Give prob of picking 2 c and 1 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90694 >= 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 20214002420?\nAnswer: -20214002431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16113062 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 164?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 576*z + 54424. What is d(-100)?\nAnswer: -3176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836 divided by 9?\nAnswer: 3836\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -516 and -516 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 + -61. Suppose -s = -2*a + 19. Suppose 189 = 70*h - a*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34498000 rounded to the nearest one hundred thousand?\nAnswer: 34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {a: 1, x: 1, r: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m**2 - 2*m**2 + 6*m**2)*(-6*m**2 + m**2 + m**2) - m**4 + 6*m**4 + 14*m**4.\nAnswer: -33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 9*y**2. Let l be a(9). Suppose 52 = r - l*r. Suppose 2*p + 12 = r. Solve k + 4*h + p = 0, 0 = 5*k - 2*h - 0*h + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**4 - 6541*z**3 + 2*z**2 + 103*z + 8614?\nAnswer: -24*z**2 - 39246*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60465385.\nAnswer: 5, 647, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-4)\/6*(-9)\/78) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 26*w - 3. Let a be v(1). Suppose -26*h = -179 + a. Let j(y) = 4*y. Let z(c) = c**2 + 3*c. Give h*j(q) - 8*z(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + 1*(sqrt(3) + sqrt(27)).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3883 + 4?\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7466 + i**2 - 352*i - 278 - 5*i**2.\nAnswer: -4*(i + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16401003349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 117\/(-27) - 4\/6. Let o(w) = 2*w + 5. What is o(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/6 - 13*y**3\/3 + 14*y**2 - 32*y - 1. Find f such that d(f) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10837 (base 11) in base 8?\nAnswer: -36441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588500 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - d5?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (40 - 32) - 2 - -17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66, 75, 94, 129, 186?\n\"Answer: t**3 - t**2 + 5*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 3, n: 5, u: 1}. What is prob of picking 2 n and 1 e?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 16741, -5, 5 in decreasing order.\nAnswer: 16741, 14, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -16*b**3 - 17*b**2 - 22*b - 4. Suppose 4*x + 3*n + 3 + 42 = 0, -2*n + 30 = -4*x. Is m(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 12 = 10*i, -2 = -2*l + 2*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-36) - (3 + -7) and 14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*h**4 - 19*h**4 - 65*h**4 + 2 - 2 - h**4 + (2*h - h + 0*h)*(-2*h**3 - h**3 + 5*h**3) + 0*h + 0*h + 2*h**4.\nAnswer: -110*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 130*v + 12. Let b = -62 - -54. Let w be (2\/b)\/(11\/4 + -3). What is the tens digit of x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 - 181.6. Let k = p - -176.41. Let x = k + 0.47. Round x to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 16*q**2 - 18*q - 4. Give r(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1371933 and 2147?\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 - -88. Let s = n - -58.069. Let g = s - 0.0796. What is g rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2521 = 3863. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93383625.\nAnswer: 3, 5, 29, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 - 668*a**4\/5 + 58614*a**3\/5 - 1121912*a**2\/5 - 1181192*a\/5 = 0. What is a?\nAnswer: -409, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*-17 - 3975\/450*-2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 8*g**2 - 7*g + 9. Let h be u(-7). Let b be h\/21 - (-39)\/(-42). Does b = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -4 (c) -0.5 (d) 0.1 (e) -0.13 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 8*c**2 - 8136. Let t(w) = 68*w - 6. What is x(t(d))?\nAnswer: 1088*d - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 49396091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 77. Let z be j(-25). Let n(x) be the second derivative of -1\/12*x**4 + 3\/2*x**z - 5*x + 1\/2*x**3 + 0. Calculate n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73.5 + 69. Let s = v + -19.5. Let z = 0 + 1. Do z and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*l + w, 2*l + 16 = 7*l - 4*w. Let b = 1 + l. Suppose -4*u = 2*k - 18, 4*k = 2*u + u + 14. Solve -4*t + m = 4*m - 3, -k*t - b = -5*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1525, 1526, 1505, 1456, 1373, 1250, 1081?\n\"Answer: -m**3 - 5*m**2 + 23*m + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102516 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 6226.\nAnswer: -1, 0, 6226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ca76 (base 15) to base 3\nAnswer: 2011210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 12. Let i be t(5). Let h(z) = -3*z + 3. Is h(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(sqrt(432) + 3 - sqrt(432))*1)**2 + -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -4 + -7 + 6\/(-3)*-2. Let x be 23\/(-7) + 6\/21. Let f(m) = 6*m. Let k(g) = 7*g. Let i(w) = x*k(w) + 4*f(w). Give i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r + 62*r - 2*n = 135*r - n + 4 + 4, 0*n - 5*n = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -3*d + 3*i, 0 = 5*d + 2*i + 67 - 549. Let w be (-5)\/20 + d\/8. Calculate the highest common divisor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c**(-4\/19))))\/c**12)\/(c*c**(-16))**(-1\/25) assuming c is positive.\nAnswer: c**(-1027\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/4 - -19\/20. Which is the biggest value? (a) t (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -519317.2?\nAnswer: -10905661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ykkyyyyk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*z = 8, -5*b - 5*z = 5 - 55. Let q be (-8)\/(-80)*5*58. Suppose 5*t = q + b. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -379075 divided by 59?\nAnswer: -6425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.246324l in millilitres?\nAnswer: 9246.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 61 = -5*m, -89 + 11 = -4*f + 5*m. Suppose 14*u - 122 = -24. Let n be (-20)\/3*(67\/(-5) - u). Calculate the highest common factor of f and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 155*v**3 + 70*v**2 - 64*v - 7. Give b(1).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 1248*d**5 + 169*d**4 - 93999*d**2 + 3?\nAnswer: 120*d**3 - 74880*d**2 + 4056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + k**3 + 2 + 9*k**3 + 0*k**3 - 3*k**3 + (k - 2*k**3 - k)*(-1 - 4 + 3) - 2 + 2 - k**3 to the form o*k + p*k**2 + v*k**3 + b and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/14 + (-421)\/7. Let h = q - -60. Factor 0 - 2\/5*x**2 - 1\/5*x**4 + h*x - 3\/5*x**3.\nAnswer: -x**2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5591933 is divided by 328933.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x + 0*x + 0*x)*(-1 + 1 + 3) + (0 - 1 + 3)*(5*x + 2*x + x))*(-6 + 6 - 4*x**2).\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 3*b**4 + b**4 + b + 34 + 14*b**2 in the form s*b**2 + y*b + x*b**4 + k*b**3 + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20244 (base 6) to base 11\nAnswer: -2028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (144\/(-30))\/6 - (-3524)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5134*w**3 - 7*w**2 + 25*w. Let a be g(5). What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:44 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 7*l**2 - 7*l + 13. Let y be h(-8). Let n = 73\/3 + -24. Suppose 1\/3*c**y + 1\/3*c**4 - n*c**2 + 0 + 0*c - 1\/3*c**3 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 10064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1111111110?\nAnswer: 10000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*o - 4 = 2*i, -4*i = -4*o - 8. What is the tens digit of 3\/15 - (i + (-495)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - 69 - (-4 - 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.726602 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12*(-1 + 21). Let h = 51.8 + 1.2. Sort -0.5, h, n.\nAnswer: n, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from xsqbsro?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/3 + 11*n - 30 = 0?\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8371 and -4.\nAnswer: -33484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 4 (c) -0.01011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*2\/(-2)*36\/(-108)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)*p*(p*p**(1\/4))\/p)\/(p\/(p*p**4))**(-2\/45) assuming p is positive.\nAnswer: p**(-1067\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -17296 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/6*4*-18. Suppose 6*y - 205 = -193. Suppose 0 = -y*h - 3 - 3, -h - 3 = 2*t. Solve 0 = -c - u + 4, 0 = -2*c - t*u + 3*u - b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699534.\nAnswer: 2, 849767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/6 + (-2)\/(-4). Let r(y) = -y - 3. Let l be r(o). Suppose -l*s - z - 4 = -5*z, 0 = -3*s + 2*z + 6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/4)\/h)*h*h**(-4))\/((h*h**3*h)\/h**(-8)))\/(h**0\/((h**(-6)*h)\/h)*h**(4\/3)*h*h\/((h*h**1)\/h*h)) assuming h is positive.\nAnswer: h**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 82935*p + 9855950.\nAnswer: -5*(p - 16705)*(p + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/84*(-3528)\/(-96).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 575 - 549. Suppose -9024 = -h*l + 8370. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2517 and 6810163.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/40 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 3*z + 3. Suppose -5*s = 12 + 23. Let o = s - -5. Is f(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 4 + sqrt(1900) + sqrt(19) + sqrt(76)\/sqrt(4)*4)*-2.\nAnswer: -50*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y - 7. Let v be z(-5). Let c(n) = -n**3 - 6*n**2 + 6*n - 9. Let x be c(v). Let t be -3 - -2 - (-81)\/99. Sort 1\/2, t, x in descending order.\nAnswer: 1\/2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45 + -0.05. Suppose -6 = -r - 0. Suppose -v - 20 = -r*v. Which is the third smallest value? (a) v (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 79.64996 hours?\nAnswer: 286739.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8030*q**4\/13 - 1444596*q**3\/13 + 86579280*q**2\/13 - 132753600*q - 173664000\/13 = 0.\nAnswer: -402\/4015, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 2:17 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -43. Let f be (40\/12)\/(u\/(-24)). Calculate the highest common divisor of 80 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/3 + 25*u**2\/2 - 19*u. Let h be x(13). Is (1 + h + -1187)*2\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 195\/(-12). Let a be (t\/(-6) - 2)*9\/2. Solve b - 4 = -a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24251?\nAnswer: 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -54708044 and 7.\nAnswer: -54708037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 33*z**2 - 12*z - 80. Let v be f(-35). Round v to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551832308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/4 + 25*h**4\/12 - 85*h**3\/6 - 105*h**2\/2 + 2*h + 12. Let w(b) = 0. What is b?\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2. Let r be m(0). Let y = -53 - -80. Suppose -y = -11*x + 83. Sort x, -4, r, 2\/9 in ascending order.\nAnswer: -4, r, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 88131374 + 88131374.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -702137 (base 9) to base 15.\nAnswer: -82e11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 4. Let h(v) = -2*v**2 + 3 - v**2 + v**2. Let d = 1191 - 1196. What is d*a(k) - 6*h(k)?\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 + o + 3. What is the remainder when u(-3) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1840, 1838, 1836, 1834, 1832, 1830?\n\"Answer: -2*t + 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/10)\/(10\/25). Let h = j - -15. Suppose -2*u + 5*o = -0*o - 48, -3*o + 58 = 5*u. Calculate the highest common factor of u and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 5, 3823.6, 0.5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -890 less than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*u - 15 = 0, 0*b - 5*b = -2*u - 25. Suppose -5*r + 15 = b. Suppose 0 = -4*f + r*i - 6, -i = -2*f - 5*i + 12. Solve 3*s - 2 - 7 = f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 694, 689, 684, 679?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(15)\/sqrt(5) - (sqrt(3) + sqrt(6)\/sqrt(2)*-5)**2.\nAnswer: -48 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25 + (-3)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5575 + -0.2575. Let h = 194\/5 - 39. Sort h, 3, 2\/7, y in ascending order.\nAnswer: h, 2\/7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2 and 1\/10079578?\nAnswer: 10079578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053 a factor of 3700384947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (5 + 5 - 8 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + r)*(0*r + 3*r - 4*r) - r**2 + 22780479*r + 220 - 22780479*r in the form n*r**2 + g + s*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66275\/(-54225))\/(7\/9)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(5 + 60\/(-8)). Sort 2, -2, g.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1042\/3 + -364. Let q = 19923100 + -478244777\/24. Let j = q + 3765. What is the common denominator of j and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {q: 3, h: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.939875346 and 0.9.\nAnswer: 13.839875346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3922939 - 3.14.\nAnswer: 3922935.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8232 is divided by 2058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -780 - -920. Calculate the remainder when c is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14316087 divided by 9719.\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-3)\/(3\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 397*z + 398. What is f(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 9*t - 104. Let g be y(-7). Solve 0*c = -2*c - a + g, -3*c - 2*a + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -30 + 5\/2*u**2 + 1\/4*u**4 - 4*u - u**3. Give r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j**3)**(-44)*(j\/(j\/j**(2\/9))*j)\/j**(-3\/2)*j*j\/((j\/j**1)\/j*j)*j*j**8 assuming j is positive.\nAnswer: j**(3415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49.2 - 7.2. Let o = f - 41.99969. What is o rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**5))\/(n*n**(3\/8)))\/(n**(-3)*n*n**(-1\/2)) assuming n is positive.\nAnswer: n**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Suppose -3*x = -26 + 2. Let n(k) = 0*k + x*k - 4*k. Give n(q(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2)*1 + 15\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + 4*g**5 + 4*g**5 + (3*g**5 + 3*g**5 - 4*g**5)*(3 - 9 - 1) + 2 - 2*g**3 - 2 + 2*g**5.\nAnswer: -4*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 40*r**2 + 25*r - 46. Let m(x) = 155*x + 49. Let w(q) = 5*h(q) - 2*m(q). Let v(t) = -13*t - 4. Calculate 27*v(j) + 4*w(j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 37071.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/94911 and 29\/7561243.\nAnswer: 22683729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6 - 0)*1. Let u = -8658\/7 - -1237. Which is the third biggest value? (a) u (b) o (c) 2\/9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - 0) + -9 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 64 = 0. Let d = x - 13. What is the third derivative of m**5 + 0*m**2 - 2*m**5 + d*m**2 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/4*(-37 + -31 + 67).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Let o(b) = 1. Let u(n) = -7*n + 1. Let h(t) = o(t) - u(t). What is f(h(l))?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 1, 2, 134 in descending order.\nAnswer: 134, 3, 2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5828 is divided by 728.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*q**3 + 5*q**3 + 5*q**3)*(-3*q - 2*q + 3*q + q - 2*q + 3*q + (-5 + 5 - 2)*(-q + q - q)).\nAnswer: 4*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6663, 23210, 50779, 89364, 138959, 199558, 271155?\n\"Answer: -p**3 + 5517*p**2 + 3*p + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-5559.2508.\nAnswer: 22237.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 18.8442.\nAnswer: 18.3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-506)\/12 - 2) + 2. Let p = 5043 - 5085. Let o = d - p. Sort -1\/5, 4, 0.02, o in decreasing order.\nAnswer: 4, 0.02, o, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/11, 0.5, 16, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500) + sqrt(500) + 1 - -1*sqrt(500)*2)*1 + -1 + -5)**2.\nAnswer: -200*sqrt(5) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -270\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -118, -312, -596, -970, -1434, -1988?\nAnswer: -2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 at most -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -78\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -52. Factor 2\/7*d**3 + f + 2\/7*d**2 + 0*d.\nAnswer: 2*d**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/365*5)\/((462\/(-330))\/(14\/(-5)))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9*-6*((-819)\/(-7))\/(-13)*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 952225a - 1?\nAnswer: 9522259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from {j: 14, f: 5}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 + 3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - -4) + 0 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 7*d - 6. Let q be b(-8). Solve -2*l - 3*z = 5, 2*l - z = q - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92376, 9, 0 in ascending order.\nAnswer: 0, 9, 92376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121017.4459 + 201.32.\nAnswer: -120816.1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38306 and 3424.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/840659475?\nAnswer: 1\/840659475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 84079.269 nanoseconds?\nAnswer: 0.0000000009731396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - z**5 + z**5 + (-7*z**2 - 4*z**2 + 6*z**2)*(-2*z**2 - z + z)*(-z + 1 - 2 + 4).\nAnswer: -12*z**5 + 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j - 2. Let t be d(3). Let m be ((-50)\/(-15))\/(8\/12). What is the first derivative of -t*y - 1 - m + 2 wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfy when three letters picked without replacement from tyctcccfc?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -9\/8 (c) -0.3839 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:10 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z = 28*z - 8*z + 3*c + 27, z - 2*z + 8 = -c - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l\/(l**(-18)\/l))*l)\/l)**(-11) assuming l is positive.\nAnswer: l**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19444947409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -25. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-32)\/(-80))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1038, 2083, 3128, 4173, 5218, 6263?\n\"Answer: 1045*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + 4\/(-16). Let h be -1 - (z - 0) - -10. What is the smallest common multiple of 9 and ((-66)\/(-9))\/(6\/h)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1*2 - sqrt(171)) + sqrt(171) + sqrt(171)*1*-6)\/(((sqrt(27) + sqrt(432))*-5)\/((sqrt(81)\/sqrt(3))\/sqrt(9))).\nAnswer: 8*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -1277\/6, -2\/3, 5, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1599*r**3 - 4*r**2 - 976. Let j(f) = -3198*f**3 - 9*f**2 - 1950. Let g(x) = 4*j(x) - 9*t(x). What is the derivative of g(a) wrt a?\nAnswer: 4797*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 20*m + 8. Suppose -719 = 75*s - 78 + 784. Calculate r(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -503, -3, 3, -7, -1 in descending order.\nAnswer: 3, -1, -3, -7, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 54*u - 250 - 107 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3265*b**5\/4 + 29387*b**4\/4 - 1237417*b**3\/4 + 5611777*b**2\/4 + 1719882*b + 1053 = 0.\nAnswer: -26, -1, -2\/3265, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 411, 516, 653, 816, 999, 1196, 1401?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) + 2\/(-3). Let d = -13 - -18.8. Let y = 6 - d. Sort c, y, -3 in descending order.\nAnswer: y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 65. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 633 + -499. Which is the third smallest value? (a) 0.4 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1. Let b(r) = 3*r + 15. Let o(k) = b(k) - 15*g(k). Calculate o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/1*(-2)\/4. Let o(h) = -h + 9. Let v be o(7). Suppose -n = v*x + 8. Put 1, x, 5 in increasing order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 7 + 2)*1. Let w = 844 - f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 34*d - 512. What is the remainder when w(-46) is divided by 2464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688537?\nAnswer: 3688537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -7924.\nAnswer: 31\/7924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -32, -38, -66, -122, -212, -342?\n\"Answer: -q**3 - 2*q**2 + 23*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/9, 2\/3 in descending order.\nAnswer: 6, 2\/3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let q(m) = -18*m - 5. Let c(o) = -q(o) + 5*x(o). Let l(w) be the second derivative of -w**4\/12 - 193*w. What is c(l(j))?\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 318169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 - 6144*v**3 + 36792*v**2 = 0.\nAnswer: 0, 6, 3066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23835516 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14653?\nAnswer: 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 45175*r + 45180*r = -153, 16*q + r = 675 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + -10.458.\nAnswer: -116.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 3*g + 239701 - 239737, 5*m + 24 = 3*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 5a965?\nAnswer: -5a96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -130053?\nAnswer: -130035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 511*f*z + 538*f + 9*z + 7 wrt z?\nAnswer: 511*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 + -1 + (-3)\/(-15).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174471?\nAnswer: 3, 11, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:38 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2988*t - 3. Let v(k) = 8*k**2 + 341. Calculate v(h(w)).\nAnswer: 71425152*w**2 + 143424*w + 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2*y**2 - 22*t**2 - 3*t*y**2 - t*y - 69*y**2 wrt t.\nAnswer: -4*y**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3669150400.1 + 0.1?\nAnswer: -3669150400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4555 is divided by 207.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -231?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -13 + 9 + (7 - 48)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(n**2 + 0 + 18*n**2 - 1)*(0*n**2 + 2*n**2 + 0*n**2).\nAnswer: 76*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98072.\nAnswer: 2, 13, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 100*p**2 - 408*p + 1232\/3.\nAnswer: 2*(p - 2)**2*(p + 154)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1638 + -1041?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 - 127730*p**3 + 117896*p**2.\nAnswer: -24*p - 766380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - (-30)\/72. Put -0.1, y, -3\/2 in descending order.\nAnswer: y, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 + 8*l - 4. Let y be b(7). Suppose 20 = -4*m, -5*q + 25 = -y*m + 5*m. What is the remainder when 25 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8533)\/(-209475)*1 - 6\/75 and 83\/855.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i - 4. Let b be c(-5). Let q be (b\/(-6))\/(2\/24). Does 4 divide 3 + 0 - (3 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 - 5)*(-3 - 2*r + 3)*((-r - 14*r + 4*r)*(-3 - 3 + 4) - 2*r + r + 0*r).\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336664 - -105?\nAnswer: 336771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306291456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j**(-10))\/(j**(-10\/3))**(-2\/9))**(2\/105) assuming j is positive.\nAnswer: j**(-958\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*q - 69 = -2*z, 0 = 5*z + 5*q - 55. Let d(x) = -90*x**2 + 2*x + 25. Let r be d(z). Let i = 40041 - r. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 - 228. What is the smallest common multiple of 16 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-6 + -8)) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31.5359 and -239247?\nAnswer: 239215.4641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/1695)\/(((-16632)\/(-45))\/22). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, y: 6}. What is prob of sequence aya?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 2. Let r be x(-8). Let h = 36 + r. What is the lowest common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3) - (-2 + 10\/6). Suppose 39228 = 5*a + t - 47472, -2*t = -v*a + 52033. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((1 - 5) + (-1 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/181*1*-1*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 71.5. Suppose 0*w - 4*w - 8 = 0. Sort z, w, -5.\nAnswer: -5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*s + 4*s = 20, 133*s - 138*s = -3*t - 34 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11031 is divided by 2757.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 20*i - 16. Suppose d - 8 = 3*z - i*z, 0 = d + 4*z - 7. Solve a - 3 = y, -3*a = d*y + y + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/((-477)\/6) + (-16)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1 times 0.2?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 454, 453, 452?\n\"Answer: -k + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/2 (c) -3 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -x + 4*f, -4*x - 49 = 3*f - 135. Is ((-4)\/(-8))\/(2\/x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 5 - 3)*(4*t**2 + 1 - 1)*(-11*t + 18*t + 11*t).\nAnswer: 144*t**4 + 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)*v*v)**(-26)*v*v\/(v*v\/(v*v\/(v*v**(-7)*v)))*v**(-2\/11)\/v)**26 assuming v is positive.\nAnswer: v**(-58604\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/210 + 341*f**6\/60 + 811*f**3\/6 + 3*f**2 - 25. Differentiate z(l) with respect to l.\nAnswer: -4*l**3 + 2046*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*p**2 - 1921*p + 18*p**4 - 122*p**4 - 760*p - 56*p**4 wrt p.\nAnswer: -1920*p**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let b be 2 - (2 - r - -4). Let i = 52\/63 - 10\/9. Is i less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**5 - 3*a**3 + (-3*a**2 + 5*a**2 - a**2)*(0 - 2*a**3 + 0) - 39*a**5 - 20*a**2 + 20*a**2.\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -426 + -92. Suppose -174 = -5*s + 51. List the prime factors of 10\/s - o\/18.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 3, -0.1, 10.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151951 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.043 greater than -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 142 = -8*x + 47 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -1a92bff?\nAnswer: 1a92bf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {v: 3, f: 1, x: 2, l: 4, n: 2, g: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86447710661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by (-1053)\/(-45) + 3\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 + j**3)*(-21*j + 4 - 3 + 19*j).\nAnswer: -8*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -11221121?\nAnswer: 11221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 7*s + 33. What is the remainder when p(6) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.637163 kilograms?\nAnswer: 3637163000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8059 - -8073. Solve -22 = i*w + 48 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937924291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6518, 6525, 6540, 6569, 6618?\n\"Answer: g**3 - 2*g**2 + 6*g + 6513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/60 - p**4\/24 + 5*p**3\/6 + 3*p**2. Let n be l(-3). Let v = 15 + n. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 80 + c - 66 + 0*c. Let l be t(-11). Solve 0*s + l*s + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + 3*l**4 + l**4 + (3*l**3 + 2*l**3 - 4*l**3)*(-l + 0 + 0) - 3*l**4 + 0*l**2 + 0*l**2.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1725 + -1085. What is the greatest common divisor of f and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 11*m - 1215, m + 459 = 6*r - 4*r. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/16*16594648\/222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dez when three letters picked without replacement from {z: 2, e: 2, d: 1, n: 6}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.10322 + -0.114058. What is y rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 347480\/491 and 708 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11178 is divided by 3721.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 316*t. Let z = -358 - -347. Let v(n) = -8*n - 12. Let a(w) = -15*w - 22. Let b(p) = z*v(p) + 6*a(p). What is j(b(d))?\nAnswer: 8*d**2 - 632*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 39513)\/(-9) + -5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620953.61 rounded to the nearest 100?\nAnswer: 1621000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 1121125672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-8)*120\/(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-14) - (0 + 4). Which is the third biggest value? (a) -0.2 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27918.74ug to tonnes.\nAnswer: 0.00000002791874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*r - 5588*r + 2188*r to m + n*r and give n.\nAnswer: -3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195444 divided by -2.\nAnswer: 97722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220584 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26678*u - 30189 wrt u?\nAnswer: -26678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9672 is divided by 9629.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/2 + 3*b**4\/4 + 5*b**3\/4 - 5*b**2\/4 - 3*b\/4 + 1\/2 = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + l**3 + 3 + (-2*l**3 - 3*l**3 + 3*l**3)*(1 + 4 - 1) + (-3*l + 5*l - 3*l)*(6*l**2 + l**2 - 2*l**2) to w*l**3 + j + f*l**2 + k*l and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16280 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222*a**2*v**2 + 157*a*v**2 wrt a.\nAnswer: 444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6285750800 rounded to the nearest 1000000?\nAnswer: -6286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 6, h: 7, i: 1}. What is prob of picking 2 r and 1 h?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) 17 (c) -5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.077 less than -7?\nAnswer: -116.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27442803977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let x be 3*(6\/(-9))\/(-1). Let f(j) = j + 38*j**2 + 0*j - x*j + 2*j. Give s(f(b)).\nAnswer: 2888*b**4 + 152*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14 (b) 5 (c) -9 (d) -17 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Let h = l - 1. Let q = 12212 + -12208. Which is the biggest value? (a) q (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -0.4, -3, 4\/5, -1, -4 in descending order.\nAnswer: 4\/5, -0.4, -1, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/33 - 60\/(-33). Let h(p) = 2*p**3 + 3 - 5*p**3 + 2*p**2 - 5 + 3*p. Let r(z) = z**3 - z**2 - z + 1. What is l*r(s) + h(s)?\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 458902, 917804, 1376706, 1835608, 2294510?\n\"Answer: 458902*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*p + 5 - 3, b = 4*p - 6. Let h be (-1 - (b - 1)) + 7. Let z = 1 - -3. Solve 2*c = -4*m - c - h, -z*m - 2*c = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(n + 2*n - 4 + 5) as o + j*n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/24 - r**5\/2 + 15*r**4\/8 - 10*r**3\/3 - 547*r**2. Factor z(x).\nAnswer: 5*(x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 756787.6 years?\nAnswer: 9081451.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4038 - 2.3838. Let i = -4.1 + 0.1. What is the nearest to z in 5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 3647729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564701.\nAnswer: 7, 23, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (5 - -12 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**3 - k**2 - 3*k - 1. Let p(n) = 126*n + n**3 - 389*n + 130*n + 132*n. What is 2*f(i) - 6*p(i)?\nAnswer: 6*i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892949359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*k - 1354 = 0, -4*k = -t - 0*k + 674. What is the hundreds digit of 1 + t + 8 + 0 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {o: 13, z: 1, y: 3}?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946108.5 micrograms to tonnes.\nAnswer: 0.0000009461085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 3 - (4 + 1 + (687 - 670)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -53*p - 46. Suppose 0 = 14*g - 22 + 162. Is 22 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + sqrt(27)*1 - -1*sqrt(48)).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10231414 (base 5) to base 11.\nAnswer: 59a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 25 = -10. Suppose -4*p = -7*p + v. Put -4, p, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*v + 11 + 2, 0 = -v + 2. Suppose q*i - 8*i + 2640000 = 0. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 853 + -552. Suppose -12*y + 455 = -w. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -4*r + 19, -42 = -4*w - 5*r. Suppose 1996 = w*x + 92. What are the prime factors of x?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-25)\/(-15))\/((-12)\/18). Let l(o) = 3*o**2 - 4*o - 4. Let x(v) = v**2 - 2*v - 2. Give w*x(k) - 2*l(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a4 - 348655?\nAnswer: -348271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x - 2. Let g(i) = i + 16 + 20 - 37. Calculate 4*g(h) - u(h).\nAnswer: h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3703587305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1\/(4\/(-1*4)). Let q(t) = 8*t + 6. Let b(a) = -7*a - 5. Let y(w) = z*q(w) - 6*b(w). Let j be (-2)\/7 - 16\/(-7). What is y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - (-3)\/(-1) - 482\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 times 2953781?\nAnswer: -227441137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 - 6. Let t = 1.3 + g. Let c = 44\/57 + -2\/19. Sort 2\/7, t, c.\nAnswer: 2\/7, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -96?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*c - 150 = 0, 85 = -54895*c + 54894*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -43. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676094.\nAnswer: 2, 3, 7, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.02803 * 126\nAnswer: 3.53178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 2, b: 3, n: 5}. Give prob of picking 1 n and 1 m.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30)*1*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/12 - 7*k**3\/6 - k**2\/2 + 9*k. Calculate t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367419937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7250759, 7250804, 7250851, 7250900, 7250951?\nAnswer: 7251004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 + 112826*d**2 + 4287701*d\/2 + 5416104 = 0 for d.\nAnswer: -16, -3, 225671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 + 146*t**2 + 1023*t - 79. Calculate y(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 70. Let y be (0 + 10)\/(-6 + 7). Suppose 4*r + 0*d + 13400004 = -2*d, -j*d = y. What is r rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 + 136\/(-160). Let p = 3\/10 - d. Factor -3\/4*v**3 - p*v**2 + 0*v + 0.\nAnswer: -3*v**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 754d - -1?\nAnswer: 754e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -47. Suppose 0 = -2*z - 4*z + 666. Let c = z - f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -19*b**5\/60 - 5*b**4\/8 - 2*b**3\/3 - 2*b**2 + 21*b - 26. Let h(x) = 10*x**2 + 8*x + 2. Calculate 11*h(f) + 6*p(f).\nAnswer: -4*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202002112 (base 3) to base 13.\nAnswer: 1281b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4\/3 - 260*a**3\/3 + 1570*a**2 - 34580*a\/3 + 88445\/3.\nAnswer: 5*(a - 19)**2*(a - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*o + 10 = 0, 0*n - 4*n - o + 14 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 - 1)*(8 - 13*a - 8) + 0*a - a + 0*a)*(-183 + 301 + 524 + 550) to the form r*a + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-18))\/7 - (-22)\/84?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 26*u**2 + 27*u + 51. Determine q(27).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*7 + (-18)\/(-6). Suppose -4*y = 2*j + 238, 6*j - 2*j = -4*y - 248. Let u = s + y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*r**2 - 228 + 228 + (26 + 8*r - 26)*(0 + 0 - r) - 38*r + 38*r - 5*r**2 - 3 + 3 + r**2 + (-1 - 4 + 4)*(-r + r - 2*r**2).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29498044 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-855)\/1254)\/(2\/(-44)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1, -l + 5*l = 3*d - 455. Suppose -61 = 3*u + 197. Let c = u + d. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 14) in base 5?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**6\/6 - 727*y**4\/2 + 563*y**3\/3 - 2*y - 283. What is the third derivative of v(g) wrt g?\nAnswer: -60*g**2 - 8724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3 - 1737*w**2 - 89016*w - 602496 = 0.\nAnswer: -523, -48, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 = 4*h - 11. What is the greatest common divisor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 740816*h**3*j**3 - 12471*h**3*j*z**3 - 5*h**3*z**2 + j**4*z**3 - 4*j**2*z + 2*z wrt j?\nAnswer: 4444896*h**3 + 24*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0997, -3, 2\/3.\nAnswer: -3, 0.0997, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**5 + 6*x**4 + 0*x**5 + 3 - x**3 - 6*x**4. Find the third derivative of f(q) wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -279212943*d - 96435930?\nAnswer: -279212943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 4*l, -2*l = -4*q + q - 18. Suppose -6 - 2 = -2*a. Suppose -a*v - 9 + 1 = 0. Sort v, 5, l, 1 in decreasing order.\nAnswer: 5, l, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1 + 3 = -2*k, -3*n = -5*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:07 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/8*-20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2))\/((-3)\/(48\/8)). Find the third derivative of 0 - 25*b**5 - 4 - 771*b**c + 759*b**2 wrt b.\nAnswer: -1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -12. What is the lowest common multiple of 12 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7947?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 4*l + 2. Let r be o(-2). Let j = 0 + r. Let w(b) = b + 3. Let k(f) = 3*f + 7. Let z(h) = -2*k(h) + 5*w(h). Calculate z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, i: 5, a: 1}. What is prob of picking 1 i, 1 p, and 1 a?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17771406 and 834.\nAnswer: 2470225434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -161, -193, -259, -371, -541, -781, -1103?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from hagjaghow.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345082*v**4 - v**3 + 9724*v**2 + 8*v?\nAnswer: -8281968*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - -4*sqrt(228)))\/sqrt(12) - ((sqrt(304))**2 + 0) - (3*2*sqrt(95))\/(sqrt(55)\/(1*sqrt(11))).\nAnswer: -304 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-35)*(-35)\/(-231).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*2 + 6. Is 5 a factor of (-63)\/(-3) + (v - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8616071*l**2 - 3394546 wrt l?\nAnswer: -17232142*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54272 and 6060?\nAnswer: 82222080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0 (b) -0.1 (c) 568\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 324826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45678773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6031, 23884, 53627, 95254, 148759?\nAnswer: 214136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1436 and 77527845.\nAnswer: 310111380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 = 2*w. Let g(p) = -5*p + 1 + 0*p + w*p. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*q**3 - 2861515*q**2 - 2225660*q + 635900 = 0. Calculate q.\nAnswer: -1, 2\/9, 63590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -m + 6*m. Suppose -m*i + 3*q = -14 + 5, i = -3*q + 9. Is 45\/i + 2 - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44210541.\nAnswer: 3, 14736847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*p + 77 = 584*p. Let c(s) = -s**2 + 10*s + 17. What is c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from fbzmfb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54475168 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 826597 and 115.8.\nAnswer: 826712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 4291*w**2 + 4323*w**2 + 102 to the form h + j*w**2 + o*w and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2349 and 2187?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2728*n - 2 + 2743*n + 2.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**5 + y + 2*y**3 - 2*y**3)*(2908 + 6016 + 775).\nAnswer: -58194*y**5 + 9699*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 993763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 400, 381, 354, 319, 276, 225?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 15. Suppose -48*r - 96 = -50*r. Let l = x + r. Sort 1, 0, l.\nAnswer: l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**3 - 75*t**2 - 45*t + 53. Determine y(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let g be (o - -1) + 1\/(-1). Suppose 2*c + m + 2*m - 72 = g, 0 = -c + 2*m + 22. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 5*v - 1 + 77 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - 7*y + 6. Let j = -1078 + 1072. Determine t(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z + 2*f - 25 = 0, 70 = 3*z + 5*f. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2768, 3875, 5032, 6239, 7496?\nAnswer: 8803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 29*b = 0. Let c be 12\/8 - (-1)\/(-2). Solve b = z + c + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 3183.\nAnswer: 3182.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 1, n: 3, w: 2}. What is prob of sequence kww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.25061 to the nearest integer.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 21*n**3 + 7*n - 4*n - 20*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/4 - 16*g. Let l(z) = 14*z. Determine r(l(k)).\nAnswer: -588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -145.5.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*w + 135 = -227. Let j = 6.11 - 6. Which is the third smallest value? (a) j (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((3 - -14) + 3). Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4498, 8825, 12830, 16351, 19226?\nAnswer: 21293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 59062276.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**5)\/x)\/(x*((x*x\/x**(-1))\/x)\/x))\/(x**(-1))**(-9) assuming x is positive.\nAnswer: x**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(18)*-5 - sqrt(18) - sqrt(18))*1)\/((sqrt(60) + 3*sqrt(60))\/sqrt(10)))**2.\nAnswer: 1323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 7 - 0 - (-2 + 1). Find the second derivative of -16 + 78 + 157*n**q - 14*n - 59 wrt n.\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from ppupppppupppppuppuu.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4854 + 14563\/3. Let j = -60\/11 - -289\/55. Which is the closest to 2\/13? (a) j (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((-189)\/65))\/((-3210)\/749)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 10 = 3*x, 12 = 2*x - 36*o + 38*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*4 - (3 + -3). Let d(m) = -6*m**2 - 3*m + 19. Let t be d(3). Let a = q + t. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)*o**(10\/3) assuming o is positive.\nAnswer: o**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:10 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175)*1 + 3 + 5 + 4 + -3 + sqrt(175) + 3))**2.\nAnswer: 3840*sqrt(7) + 13504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 7*n + 17. Let q be c(-5). Solve -d = 5*z - 9, -d = 2*z - 5*z + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7470773 divided by -7470773.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - t + 7. Let f = 14 - 10. Let v = -4 + f. Let q = -1 - v. Let y(i) = i**2 - 1. What is q*h(s) - 5*y(s)?\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d + 76. Give r(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.90468 - 59.9. Round i to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 6 - (4 + (10 - -45))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + o**2)*(-1 + 2*o**2 + 1) + (-168 - 2*o + 79*o**2 - 158*o**2 + 80*o**2)*(0*o**2 - 3*o**2 + o**2).\nAnswer: -4*o**4 + 4*o**3 + 336*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*x = 7, -32*g + 49 = -31*g + 9*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 5. Let s(z) = -z**3 + 6*z**2 + 1. Let p be s(6). Suppose 16*j = 55*j - 156. Let n(l) = 6*l - 242 + 243 - l - j*l. Determine p*a(k) - 6*n(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 13*r - 22 + 11*r**2 - 4*r + r**3. Let m be w(-10). Let l = 151 + m. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 - -8.19. Let p = m - 4. Let j = 0.004 + 0.496. Which is the closest to 1? (a) p (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-5))\/2*4. Let j be 1\/(s + (-129)\/(-33)). Let o(r) = -r**2 - 13*r - 21. Let c be o(j). Solve 8 = t + 2*m + 3*m, 0 = -2*t + 5*m + c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 + 27*r + 50. Let j be x(-6). What is the closest to -0.7 in -31, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-224)\/392 - 11029\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 4*l**2 + 4*l + 6. Let h(m) = 4*m - m**2 + 552*m**3 - 3*m**2 + 4 - 1097*m**3 + 546*m**3. Let v(y) = -3*d(y) + 4*h(y). Determine v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/39)*q)\/q)\/q*q*q\/(q\/((q\/(q*q**(-2\/11)))\/q))*q)\/((q\/(q**(-7)*q))\/(q\/(q**(-2\/23)\/q))) assuming q is positive.\nAnswer: q**(-47189\/9867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(209) + sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209)))\/(1*sqrt(11)*2) + (sqrt(19) + (-1*sqrt(19))**2)*-1 + (sqrt(171)*2)\/sqrt(9).\nAnswer: -11*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -192c - 4?\nAnswer: -1930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 720\/(-99)) + (-18)\/66.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519 is divided by 698?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9\/6 - (167 + (-407920)\/2400).\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3682 is divided by 502.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 1001110?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 50, 3*r + 142*k - 1884 = -467 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(49) - -4*sqrt(49))\/sqrt(7).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 169.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {w: 4, z: 2, s: 7, k: 2, e: 4, t: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + z = 3513, 5*k + 255*z = 258*z + 8744. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1000?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*h = 5*m - 2, -5*h = 20. Suppose a = -2*o + 12, m*o + 0*o - 6 = 0. Let l(d) = -a*d + 2*d**2 + 4*d + 2*d. Let q(x) = -10*x**2. What is q(l(v))?\nAnswer: -40*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17389.\nAnswer: 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.9 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144596*z**2 - 289116*z**2 + 144526*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + r = -3*r - 261, -5*r + 176 = 4*w. Let s(b) = -64*b**2 - 2369*b + 102. Calculate the remainder when s(-37) is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/129124 and -5\/72.\nAnswer: 2324232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-2)\/(-2))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24 = 3*u + 4*w, u + 16 = 4*w. Let x be (9\/(-4))\/(2\/8). Let q be (-102)\/x - u\/12. What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-8 + -5 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*j + 9*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 (base 14) in base 13?\nAnswer: -886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 greater than 10678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 13. Let v = 11 - g. Which is the biggest value? (a) 1 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(931)*1*5*2)**2.\nAnswer: 3351600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9*x - 6*x = 4, -4*g = -4*x - 8. Find the third derivative of 4*j**g - 221*j**4 - 1668*j - 10*j**2 + 1669*j wrt j.\nAnswer: -5304*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*((((i**(3\/10)\/i)\/i*i)\/i*i)\/i*i)\/i*i*i))))\/i*i\/(i**(-4\/9)*i)*(((i*i**(-1))\/i)\/i)**48)**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 11. Calculate the remainder when n(7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -41. Let h be ((-3)\/5)\/(12\/a). Differentiate -3*c + 4*c - c - 7*c - h with respect to c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*s - 1 = s, 0 = -3*s + 3. Solve -u*g - 2 = -x - 1, -2*g + 1 = x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 37*c - 3568. Let g be q(34). Let m be ((-8)\/(-10))\/(6\/9). Let t = 37\/10 - m. Is g >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:04 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:39 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = 40*d - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*w + 537*w = -1690 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 600*u.\nAnswer: 2*u*(u - 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.332 * 481.\nAnswer: 49221.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*z**3 + z**2 + 18*z wrt z.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(36\/11)\/w*w*w*w)*w\/(w*(w\/((w*w**1)\/w))\/w*w*w) assuming w is positive.\nAnswer: w**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 9 + 37)*(-1 - 2*v + 1) - v - 3*v + 3*v in the form s*v + w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4144 + 1213?\nAnswer: 10412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 26 = 4*w. Let f = w + -16. Find the first derivative of -4 - 24*l**4 + f*l**4 - 3 + 15*l**4 wrt l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x + 20, 2*q = -3*x + 46. Suppose 0 = q*i - 27*i - 78. Suppose 5*u = -i + 119. Solve -2*s = g + 1, -2*s + 0*s = 4*g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 48*i - 36*i.\nAnswer: -84*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 85 + 4 + (-154 - 38)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7157027 or 0?\nAnswer: 1\/7157027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/3*158592\/(-200). Let l = u + -5269\/2. Calculate the common denominator of -13\/28 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*c*w - 18872*a**3*c + a*c + 15575*a*w + 3*c*w wrt a?\nAnswer: -12*a*c*w - 113232*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*f + 874*f + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z + 16*z - 3*z**3 - 7*z - 2 to the form r*z**3 + d + x*z + q*z**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 2*s + 17. Let m be v(-5). Suppose 0 = -3*p + 4*j + 80, -3*j = 5*p - m*j - 164. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35515 divided by 77?\nAnswer: -35515\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14 + (-884)\/65)\/((-4)\/(-120)*3). Suppose 4*i - 37 - 65 = -2*t, 0 = 3*i + 3*t - 72. Solve -a + f*g = -4*a + 26, a + 5*g - i = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2 - 78*f - 1. Let n(c) = 4*c**2 - 26*c. Give -2*g(i) + 7*n(i).\nAnswer: 2*i**2 - 26*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 2*g - 1. Let n be v(1). Suppose -n*s + 5*l + 15 = 0, 2*s - 4*s = 4*l - 24. Suppose 0*j - s = -j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 = 12*f - 6132. Let m = f - 368. What is the remainder when 75 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10989024 less than or equal to 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -87 (c) -97 (d) 0 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*4 + 1 + -4 + sqrt(128) + sqrt(128) + (3 + sqrt(128))**2)*5*-2.\nAnswer: -960*sqrt(2) - 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/4*-1*1*(-1)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + 0*j**4 + 6*j**4)*(2 + 21 + 24) + 0*j**4 + 2*j**4 + 0*j**4.\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 17 + 28. Suppose y*v - 5*v - 80 = 0. Suppose -j + v = 5. Solve -2 = -j*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -5, -3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/2*-1 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4013 + 125 = -16*s. Let x = s - -2714. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 5. Let z be 8\/1 - (2 + -2). Let j(s) = -2*s**2 + 8*s + 8. Give z*g(h) + 5*j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**8*b**(-22)*(b\/(b**7\/b))**(-13) assuming b is positive.\nAnswer: b**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 694 = -4*g, -5*v - 13*g = -9*g - 1717. Suppose -3*l - 149 = -v. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 13357434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 288 + 301 + 311 - 228)*(-3*c**2 - c**2 + 6*c**2 + (3 - 3*c - 3)*(-3*c + 0*c + 4*c) + 2*c**2 - c**2 - 2*c**2).\nAnswer: -1142*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 741 and 2565.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*g**3 + 340*g**3 - 169*g**3)*(0 + 2*g + 0 + 4*g - 3*g - 3*g - g + 3*g - g + (0 - 2 + 0)*(3 - 3 - g) + 2 - g - 2*g + 4*g).\nAnswer: 308*g**4 + 154*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-278 - (-3 - 0))*12\/4. Let g = -822 - h. What is the closest to 1 in -8, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {y: 1, e: 2, p: 2, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-21)*(-21)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -4, 543?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 452. Let t = 287 - d. Sort t, -0.05, 5, -5 in decreasing order.\nAnswer: 5, -0.05, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*n + 2467, 3*n - v - 1879 = v. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -185*v - 1662. Let k be o(-9). Solve k*g - 2*l = -1, -3*g + 5*l + 1 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:25 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175554 is divided by 1439?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100 (base 2) to base 5.\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 127*x**3 + 18*x**2 - 52 - 16 + 33 in the form q*x**2 + k*x**3 + z*x + v and give k.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Suppose 1 - 2 = x - f, 18 = 3*x + 4*f. Let u(j) = -9*j**x + 2*j + 0*j - 2*j. Calculate l(u(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 5652800?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219902\/25 + 8796. Which is the closest to -2\/1235? (a) l (b) 1\/3 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x + 60. Let r be a(-5). Sort r, 5, -2.\nAnswer: -2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 5 - (0 - 3). Let i be (s\/7)\/(3\/9). Sort -1\/2, i, 1\/5.\nAnswer: -1\/2, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 1 in ascending order.\nAnswer: -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 43*u**3 + 5*u**2 + u - 12. Let p = 528 - 526. List the prime factors of v(p).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/7 + -30\/7. Let x = 0.001 - -0.399. What is the nearest to 1 in m, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 92 + 217 = 3*x, -3449 = x - 123*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/2 + 12 + -9 - 854\/(-122).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 45 + 10 = 0. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 + 2*s**2 - 9*s + 8*s**2 + 6*s**2. Is x(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.10807 + -2693.807.\nAnswer: -2682.69893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 20. Let r be v(-6). Let x be (-9)\/(-10) + (-5)\/r. What is the fourth biggest value in -0.5, x, -2, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) + 169\/(-676)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)*o)\/o*((o\/(o\/(o**11\/o)))\/o)\/o)\/(o**(-7\/4)*o*o*o*o\/(o*o*o*(o\/o**(-1\/2))\/o)*o) assuming o is positive.\nAnswer: o**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24047 and 865?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x - 72. Let u be (-35)\/28*(x - 2). Find the third derivative of 10*j**2 + 12*j**2 - u*j**6 + 46*j**6 wrt j.\nAnswer: 2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-12) + (-9)\/12*1. Solve -8*s + 6*s + x = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 47*d - 2*d - 2896 + 9*d + 13*d.\nAnswer: -17*d - 2896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 3, l: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 1196d8?\nAnswer: -119702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 83*d**2 + 8*d - 4902. Let k(m) = 114*m**2 + 11*m - 6536. Determine 11*i(x) - 8*k(x).\nAnswer: x**2 - 1634","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*k - 1180238*a**2 - a*k - a + 960460*k wrt k.\nAnswer: 2*a**2 - a + 960460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (-2 + sqrt(475))*6 + sqrt(475))**2 - (-5 + 3*sqrt(475))) + ((sqrt(19) + sqrt(19)*-4)*-4 - (sqrt(19) + -4*sqrt(2299))**2)*-1.\nAnswer: -987*sqrt(19) + 65680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 + -1615\/8. What is the common denominator of -73\/16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15467376.\nAnswer: 2, 3, 322237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecce when four letters picked without replacement from cccsecsccccecc.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101000 (base 2) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11065?\nAnswer: 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 6*g - 3*g)*(-5 + 36*g + 5) - g**2 - 5*g**2 - g**2 + 2*g - 2*g**2 - 3*g + 0*g**2.\nAnswer: -549*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 47*d - 1470. Calculate u(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1229 - -1227. Suppose -2*o = -5*l - 42, 4*o - 2*l + 6*l = 28. Sort w, o, 0, 2 in decreasing order.\nAnswer: o, 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -24. Suppose 3*i + 5*o = 2*i + m, -o - 1 = 0. Suppose -q + 0*q - 6 = 3*s, -4*s - i = 0. Let y(f) = -f**2 + 3*f + 5. Determine y(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -36. Let y = i - -18. Calculate the remainder when 21 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -bd4?\nAnswer: -bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7273166579506 take away -7?\nAnswer: 7273166579513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2990\/200*2 - (6\/((-240)\/124) - -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16942*j + 16858*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18505688?\nAnswer: 2, 2313211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 - 4*g - 192\/5 = 0 for g.\nAnswer: -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i - 1. Let v = 8 - i. Let w = -5 + v. Solve 0*z = z + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) 1\/2 (b) -0.1 (c) 2\/3 (d) 26 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0702402 - -0.0703. Round i to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*s**3 - 248*s**2 + 248*s**2.\nAnswer: -154*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -55. Suppose p - n = -4*p + 4*r, -5*p - 3*r = -11. Suppose 3*x = 3*l + 90, -82 = -p*x - 5*l + 83. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 5, m: 3, s: 2}. What is prob of picking 1 r, 1 s, and 1 m?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*r - 67*r - 11*r)*(2*r + 1 - 1) - r - 8 + 10 + 12*r + r**2 to a*r + p*r**2 + w and give p.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3801 - -3803.84. Which is the nearest to 1\/2? (a) 0.1 (b) 0.3 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 8 + 7. Suppose 30 = 7*p - 19. Suppose 0*t + 1 = -x + t, -3*x + t + p = 0. What is the nearest to 3\/2 in x, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0201861385 to five decimal places.\nAnswer: 0.02019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c - 12*c + 16*c + 11*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2\/5, -2\/3, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**4 - 9*n**3 - 85*n**2 - 35*n + 7. Let r(a) = 4*a**4 - 5*a**3 - 57*a**2 - 23*a + 5. Let h(g) = 5*m(g) - 7*r(g). Factor h(d).\nAnswer: 2*d*(d - 7)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286834 - 1225228 = -516*v + 294*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 6*h + 16 = 0. Put -4, 46, h in descending order.\nAnswer: 46, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 - 27*v + 27*v + (-280*v**2 - 230*v + 230*v)*(-6 + 6 + 3*v) to k*v**3 + j*v**2 + z*v + c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 2}. Give prob of picking 2 d and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2 - 7*a + 7. Let x(k) = -9*k. Let g be x(-1). Let u = -3 + g. Let h(c) = -4*c**2 + 3*c - 3. What is u*f(q) + 14*h(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/20 - -3\/10. Which is smaller: 30 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93659 is divided by 9351?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**2\/2 + 9*j - 3. Let v = -2 - 3. Give a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -18*u**2 + u**3 - u + 11*u**2 + 3*u**2. What are the prime factors of d(7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260724\/11 + -23702. Suppose 0 = -i + 3 + 1. Let s be (24\/10)\/i*-1. Which is the third smallest value? (a) 2\/5 (b) q (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 82*x**2 + 3*x - 293. Give c(82).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*m - 106*m - 36480 = -223*m for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(6\/(-382)))\/(25\/(-75)) is divided by (-7 - 0)\/(-7)*64\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10208751 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 11) to base 8\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 11*s**2 + 10*s + 209. Give j(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/((-3)\/(-10)). Suppose 201 = 2*p - 5*z + 4, 5*z = q*p - 470. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46624513?\nAnswer: 13, 43, 83407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*k**3*q - 6*b*k**2*q - 10228*b*q - 3*k**3 - 39629*k*q + 2 wrt b?\nAnswer: k**3*q - 6*k**2*q - 10228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1dd53?\nAnswer: 1dd58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6369 + 9962 = 2320*b - 34709 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11785258, 11785259, 11785260?\nAnswer: 11785261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 70, -316, -702, -1088, -1474?\nAnswer: -1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 3*l**2 + l**3 - 3*l**3 - 1. Let h = 3 + -1. Let a be (1 + -5)\/h + 0. Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-772)\/(-16) + (-6)\/24. Let w = d + -46. Suppose -5*c = -3*g - 49 - 30, w*g - 4 = 0. What is the greatest common divisor of c and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5)\/(42*76\/819546). Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 154363, 0, -0.3, 10 in decreasing order.\nAnswer: 154363, 10, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 2047, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(26\/4))\/((-816)\/(-60)*5)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/3 + 38*s\/3 = 0?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-628140)*-180)\/((-2)\/(-19)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 264323\nAnswer: -132161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2480 + -24863\/10. What is the common denominator of p and 18120\/3504 + -3 + 12\/2 + -8?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 10*c**4 + 905070*c**3 + 40956680165*c**2\/2 - 20479018890*c + 5119811290 = 0.\nAnswer: -45254, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9327.5 - -9327. Let g = -4.9 + 0.9. Which is the third smallest value? (a) g (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 1423 + 1663. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/504*7*-8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -585, -886, -1189, -1494, -1801, -2110?\n\"Answer: -m**2 - 298*m - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -16*l - 26. Let z = 15 - 19. What is the closest to l in -1\/4, 3\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -24, -8, -918 in descending order.\nAnswer: 3, -5, -8, -24, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:40 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13742 and 1.2242.\nAnswer: 16822.9564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33827, 66768, 99709?\nAnswer: 132650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*t = -103*t + 460. What is the smallest common multiple of 3 and t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from qdzye?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(5 - 6 - 4)*(4*q + q - 4*q)*(8 - 2 - 2)*(-1927 + 1927 - 105*q) as z*q**2 + n*q + c and give z.\nAnswer: 2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 445*h - 34314. What is i(-56)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:38 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3050*53405.\nAnswer: 162885250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.848415 - 0.145485. Let y = 6 + a. Round y to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/380 and 113\/8731520.\nAnswer: 165898880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 5*r + 5*r)*(1 + r - 1) - r**3 + 2*r - 2*r + (3*r**3 - 2*r**3 + 2*r**3)*(-6 + 21 + 16) + 7*r**3 - 2*r**3 - 3*r**3.\nAnswer: 95*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10080721 divided by -5.\nAnswer: -10080721\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1119103\/895308 - -8\/223827. What is z in -3\/2*z**2 - 1\/4*z + 0 - l*z**3 = 0?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -15. Let x = -213753\/7 - -30482. Let q = -54 - x. What is the closest to 1\/4 in h, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m + 4. Let i be (0 + -3 + 5)\/((-2)\/(-4)). Suppose -i*z + 85 = 3*f - 4*f, 0 = 5*z + 5*f - 100. Calculate the lowest common multiple of z and d(-4).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256318 divided by 1?\nAnswer: -256318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697749930 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/367 (b) 2 (c) -0.4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2. Let y be (6\/(-18))\/((-2)\/(-6)). Let a be -2 - -7 - (2 + y). Let q(p) = a*p - 2*p + 0*p. Determine b(q(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 - 2)*0\/7. Let y be (k + -1)*(5 + -2)\/(-1). Solve d - p + 0*p = -y, 5*d + p + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -544, -1365, -2180, -2989?\n\"Answer: 3*d**2 - 830*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -440. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180844 - -43507. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69987222.\nAnswer: 2, 3, 19, 204641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5\/14*g**2 + 0*g + 13 + 1\/21*g**3. Factor q(b).\nAnswer: b*(b - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (26 - 11) - (-1 - 20)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -6*h**2 + h - 263. What is c(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 86. Let h = f - -114. Let s be h + -10 + (-27)\/(-3). What is the greatest common divisor of s and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3360 - 2141 - 1219 - 37*z.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*v = 2*v + 15, -4*q = v - 60. Let a be -3 - q\/(6\/(-2)). Suppose a*g = -g + 69. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 5}. What is prob of picking 2 a and 2 e?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 2102373?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 20*t + 4. Let s be c(-12). Let y be s\/(-16) + 3\/(-4). Suppose 0 = -2*g - g + 9. Is y bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4420 - 4160. What is the greatest common factor of s and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 9) to base 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 125 - 27320*b**3 - 63 + 8295*b**3.\nAnswer: -19025*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*r + 4*r = 107, 4*r = 3*o - 115. Let y(z) = -3*z**3 + 479*z**2 - 325*z + 1149. Let q be y(159). Let m = q - o. Put 0, m, -18 in descending order.\nAnswer: 0, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/7, -1.1, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 - 195*z**2 - 210*z + 400 = 0. What is z?\nAnswer: -2, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-252))\/(140\/(-16) - -8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 736 - 736. Suppose u + 6 = 4*u. Let y(h) = -4*h + h**u + 4*h. Determine o(y(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 2:45 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -92. Suppose 1 = -t*x + 37. Solve 0 - 1\/6*c**x + 1\/3*c**2 - 1\/6*c**3 + 0*c = 0 for c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d + 2. Let q be t(0). Suppose -2*i + 50 = 5*y, -5*y + 40 = -y - 3*i. Calculate the remainder when q\/(-4) - (-114)\/4 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9961, -6, 0 in increasing order.\nAnswer: -9961, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.7 (c) -4 (d) -2\/13 (e) -0.19 (f) -2520\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 4*s - 105, 141 = 4*w - 5*s. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -616420 + -12766?\nAnswer: -631406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 4*n + 17*n**2 - 4*n**2. Let h(s) = 1037*s + 954*s - 7*s**2 - 1989*s. Give -11*h(j) - 6*t(j).\nAnswer: -j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37111344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - (-2 + 24 - 25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.318 to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-104*48\/(-624)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 34*q - 105. Calculate the highest common divisor of 7 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17633684 is divided by 374?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*(p\/p**33)\/p))**(-33\/2) assuming p is positive.\nAnswer: p**(-561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36 from 0.0157506.\nAnswer: -35.9842494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*w = -10, -2*u + 12 - 2 = 3*w. Suppose u*s + 6*s = 33. Solve -3 = s*d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51099055 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/(-1200)*15\/(-4))\/(15\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552913 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53312 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l + 23. Let f(r) = -7*r - 12. Let g(a) = -13*f(a) - 6*v(a). Let o be g(-8). Suppose 1 = -4*p + 5. Calculate the highest common factor of o and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4357, 4598, 4839, 5080, 5321?\n\"Answer: 241*f + 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249 + 321. Is 569 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 0*v**3 - 2*v**3 + (-v + 0*v + 3*v)*(5*v**2 + 0*v**2 - 4*v**2) - 950*v**3 + 954 - 954.\nAnswer: -947*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 6. Find the common denominator of 64\/9 and 6\/(-14)*20\/s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {a: 1, n: 2, b: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11252, -22489, -33712, -44915, -56092, -67237?\nAnswer: -78344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -29*q - 770. Determine w(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1 + sqrt(13) + -1)**2 - (sqrt(1300)*1 - sqrt(13))) + 0)*-4.\nAnswer: -408 + 312*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487835441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/5 + 5434*s**4 + 54337*s**3\/5 + 27168*s**2\/5.\nAnswer: s**2*(s + 1)**2*(s + 27168)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38353526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -17. Let b(d) = -64*d + 3. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 344?\nAnswer: 7912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 834 divided by 10581\nAnswer: 278\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + 12000332?\nAnswer: 12001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*w**3 + 512\/7*w**2 - 32768\/7*w.\nAnswer: -2*w*(w - 128)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206983776 divided by 3544?\nAnswer: 58404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125365741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 3 + 4*d + 19 - 3*d - 13*d. Let j be z(11). Let s(b) = -b**2 + b + 1. Let i(h) = h - h - 3*h - 2*h + 6*h**2 - 5. What is j*s(n) + i(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 74?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 8*w**2 + 4*w + 2. Let c be j(8). Let o = 34 - c. Is 1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q + 0*q)*(3*q**2 - 3*q**2 - 2*q**3 + (6*q**2 - q**2 - 2*q**2)*(1 - 1 - q)).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -408 - -405. Sort v, 2, -4 in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(176)*-2 - sqrt(176))*2)**2 + (-1 + sqrt(176))*4 + (5*((sqrt(176) + (sqrt(176) - sqrt(176)*-2))*1 + -4))**2.\nAnswer: -3184*sqrt(11) + 77134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-20))**11)**(-3\/44))**13 assuming y is positive.\nAnswer: y**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let p = -9 + 13. Let b(n) = -n**2 + 6*n - 1. Let s be b(p). Let l(h) = -h - s*h**2 + h + 4*h**2. Calculate l(r(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -292, -271, -242, -205, -160, -107, -46?\n\"Answer: 4*h**2 + 9*h - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 42. What are the prime factors of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - 10110?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28*(6\/(-21))\/(4\/(-8)). Let s(c) = 3*c**3 - 48*c**2 + 4*c - 1. What is the remainder when 503 is divided by s(b)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 9*n**2 - 5*n**2 - 47 - 9*n**2 + 33*n**2 + 1132*n in the form r + s*n + l*n**2 and give s.\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34032 + -204141?\nAnswer: -120104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9376)\/16*(-2 + 1). Suppose -124 = -5*l + f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45844 - 16001 = 987*p + 1008*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*i + 19 - 739. Suppose -4*u = 20, -224 = 17*b - i*b - 5*u. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-2)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 142 in increasing order.\nAnswer: -4, 7, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8468 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2732 is divided by 904?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/154)\/((-3)\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 2173\nAnswer: 15211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*r = 9, -3*w + r + 19 = -0*r. Does 8 divide ((-8)\/(-2)*w)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 3*h. Suppose -29 = -h*x - 5*s - 0*s, -14 = -2*x - 2*s. Suppose 0 = -4*u - x*a + 5*a + 784, 5*u - 975 = 5*a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - -19. Let p be (-7)\/(-7) - (2 + (-64)\/a). Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25829.809 + 25804. Let q = -0.209 - h. Round q to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/187 and -7\/44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5462*a + 5487*a. What is the closest to 2\/5 in 73, 0, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494773, -494816, -494859, -494902, -494945, -494988?\nAnswer: -495031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/4 - 41*t**4\/4 + 44*t**3 - 45*t**2.\nAnswer: -t**2*(t - 2)**2*(t + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9*9 - 1. Suppose 0 = -4*t + x*t - 1. Suppose 3*j + 3*a = 0, 4*j - 3 = 2*a + 9. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -2508, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29538480901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 2. Suppose 0 = -3*c - 62 + 92. Suppose 3 = 2*u - u. Suppose 0 = -3*n - 3*j - 6, -u*n = -j - c. What is i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -5*z**8\/1176 + 19*z**7\/245 - 71*z**6\/210 - 22*z**5\/35 + 6*z**4\/7 - 2*z**2 + 6*z. Suppose n(h) = 0. Calculate h.\nAnswer: -1, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325 and -1612057690.\nAnswer: -1612058015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 7056?\nAnswer: -7050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*u - 5*u. Let y be (-1 - (-7)\/u)*5. Is (y - 33\/(-2))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12249.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 1863 = 14*r. Calculate the greatest common factor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(15)\/sqrt(3)*6 + 3.\nAnswer: 3 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 29273 and 1493085.\nAnswer: 1522358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 62 = 42. Suppose 3*k = -2*k + m*c + 1245, k - 249 = 5*c. Calculate the greatest common factor of 166 and k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/126 + k**6\/45 - k**5\/180 - k**4\/36 - 6*k**2. Factor i(w).\nAnswer: -w*(w - 1)**2*(5*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*z + 4)*(-4*z**2 + 2 - 6 + 2*z**2)*(7*z - 34*z + 4*z) + (-3 + 3 - z**3)*(3 - 3 - 2*z).\nAnswer: 186*z**4 + 368*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {n: 5, e: 3, z: 1, m: 2, g: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/12*(6\/(-75))\/(-1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 402629284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1192\nAnswer: 3\/1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966702 is divided by 16120?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 4 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 11 = -i - 7*x, i - x + 9 = 0. Let k(j) = 10*j. Let w(h) = 10*h + 1. Let m(p) = i*w(p) + 5*k(p). Let c(n) = -3*n + 1. Determine 7*c(z) + 2*m(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + -5 + -451 + 434?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -2315\nAnswer: 72\/2315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2937 rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 - 241. Suppose -3*c - 4 = -7*c. Let k(o) = o. Let b(a) = 8*a. What is c*b(d) + z*k(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6171732*c**2 - 84*c - 427444?\nAnswer: -12343464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ccccycuvncfvycfvvvnf.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0271 and 0.4.\nAnswer: 0.01084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 7*i**2 - 56*i - 453. Give v(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 7*k + 228. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55787, -446297, -1506249, -3570365, -6973367?\n\"Answer: -55787*y**3 + y**2 - 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -141*n + 137*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-513)\/(-342)*(-20)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, s: 6, j: 2, g: 2, t: 1, b: 6}. Give prob of sequence gvv.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a factor of 383311330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.65235 plus 0.051325?\nAnswer: 10.703675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = 3*w - 70*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, o: 2, w: 1, k: 1, s: 2, r: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26391 is divided by 1099?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12268?\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w**2 - 3. Let b be j(-3). Let u(q) = -49*q + 117. Let t be u(6). Let z = t + b. Does 36 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/369 and -40\/1271.\nAnswer: 11439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 + m + 62. Let g be a(0). Let k(q) = -33*q - 1526. Let h be k(-45). Let y = h + g. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 48. Suppose -u = 5, -4*k - 636 = h*u + 2*u. Is 14 a factor of k\/(-21)*(-9)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 9*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13816385 * -1\nAnswer: 13816385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 495 = d - 439, 47*d - 4*r + 240 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 702883349 a multiple of 3302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 21*x**2 - 7. Let j(b) = -52*b**2 + 18. Let k(s) = 12*h(s) + 5*j(s). Let t(w) be the first derivative of k(w). What is t(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759455.6 nanometers in millimeters?\nAnswer: 0.7594556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. What is b in 23*b**y - 144*b**2 - 68*b**3 - 39*b**2 + 0*b**4 + 294 - 63*b - 3*b**4 = 0?\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**4 - 2*v**3 + 10*v**2 - 5*v + 5. Let h(n) = 17*n**4 + 7*n**3 - 40*n**2 + 21*n - 21. Let o(p) = 21*g(p) + 5*h(p). Factor o(w).\nAnswer: w**2*(w - 5)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, -837 in ascending order.\nAnswer: -837, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 7*q**5\/20 + 5*q**4\/6 + 5*q**3\/6 - 33*q. Let b(d) = 6*d**3 + 9*d**2 + 4*d. Give 6*b(z) - 5*g(z).\nAnswer: z**3 + 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, -9\/73, 5.45, -1.87, 0.3?\nAnswer: -9\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 156000. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -4431?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1945 + 1944. Let f(p) = -p**3 + p**2 - p - 1. Let y(h) = -7*h**3 + 4*h**2 - 6*h - 3. Give b*y(i) + 3*f(i).\nAnswer: 4*i**3 - i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3415722 and 0.041797?\nAnswer: 3415721.958203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9565*m - 3*m**2 - 19075*m + 9607*m)*(1 - 1 + 3*m**3).\nAnswer: -9*m**5 + 291*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 12. Let d be r(-14). Suppose -94 = -5*l + 2*k - 5*k, -5*k = d*l - 30. Suppose 3*j - 5*y = 11, 4*y + y + l = 0. Is j less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/((-17)\/17). Is -1218*((f - -2) + -2) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/4*b**3 + 0 - 1\/20*b**5 + 1\/16*b**4 + 0*b - 6*b**2. Suppose x(n) = 0. Calculate n.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23392661 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) + (-291)\/15. Let u = -34 - y. What are the prime factors of 0 + 2 - u\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.319986 + 0.32. What is b rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39595 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b + 2194. What is h(-96)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16301507 - -20?\nAnswer: 16301527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412 and 15965.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + 6*l**2 + l + 3. Let d(g) = -3*g**3 + 5*g**2 + 2*g + 3. Let a(x) = -3*d(x) + 2*q(x). Let m be a(4). Put -0.5, m, 0.3 in descending order.\nAnswer: 0.3, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64336 - 3216663\/50. Let y = q - -3\/50. Let -8\/5*f**2 - y*f + 4\/5 = 0. What is f?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 6*x + 6. Let q(g) = g**2 + 4*g + 4. Let w(l) = 4*k(l) - 6*q(l). Let s(y) = 1 - 1 - 5*y. What is s(w(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34825083+51.9\nAnswer: 34825134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23 - (3 + -5 + 1). Calculate the lowest common multiple of 2 and 16\/i + (-14)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 43 - 2*n + n**2 + 4*n - 17 + 26 to o*n**2 + p + c*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/9 - (-4816)\/252.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 + v + 7. Suppose 0 = -z - 3, -8 = -4*x + 2*z + 14. Suppose 3*s = 5*a + 24, 0 = -2*a + 4*a - 4*s + x. What is the tens digit of t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 586 + -369. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**5\/60 + y**4\/2 + 13*y**3\/6 + 2668*y**2. What is u(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 101712?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 46. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 637, 1262, 1885, 2506?\n\"Answer: -n**2 + 628*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 130?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**4 + 56*f**3 + 26*f**2 + 1. Let b(d) = 17*d**4 + 52*d**3 + 27*d**2 + 2. Let y(x) = -6*b(x) + 7*q(x). Find the third derivative of y(o) wrt o.\nAnswer: 72*o + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*l - 3646, 4*l + 2*r - 1294 = 2346. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Suppose 5*y = 15, y + 192 = t*g + 51. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1728 divided by -66.\nAnswer: -288\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -322*l**2 - 3550*l - 22. What is w(-11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5041467816?\nAnswer: 2, 3, 7, 11, 2728067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 116 = 3*q, -q - q - 118 = -2*b. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897363707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 7*s + 1. Let o = 11 - 6. Give c(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:12 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -439 + 661. Is 37 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-102)\/27 + 4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(3200).\nAnswer: -1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 15*f**2 + 15*f + 16. Let w be n(-14). Suppose w*r - 1 - 15 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-20)\/(-45))*68\/6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*z + 9, -4*w + 15 = 5*z + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i. Let n(t) = t**2 - 343*t + 1. What is 2*m(q) - n(q)?\nAnswer: -q**2 + 353*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w - w)*(-23*w**2 + 6*w + 25*w**2 - 3*w) + (-w + w - w**3)*(-10*w + 7*w - 10*w).\nAnswer: 17*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -2, -3.\nAnswer: -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5241440 is divided by 65517?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46326?\nAnswer: 2, 3, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/5, -1, -5 in increasing order.\nAnswer: -5, -24\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 - 35*p**2 + 21*p + 14. Let o(r) = 10*r**3 + 52*r**2 - 33*r - 22. Determine -5*o(m) - 8*w(m).\nAnswer: 6*m**3 + 20*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(5 + (-3 - 0)). Solve 6*b = 8*b + t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-363 + 363 - 10*z)*(-3*z**2 + 5*z**2 - z**2) + (-23*z - 65*z + 23*z)*(-2*z**2 - 3 + 3) to the form m*z + c + y*z**3 + w*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3146997*15\nAnswer: -4.7204955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33698866.\nAnswer: 2, 16849433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13406 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1296) - sqrt(1296) - -6*(sqrt(36) - -1*sqrt(36)))*-1)\/(3*(-4*sqrt(36)\/sqrt(3) - -1*sqrt(588))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or -4172?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/19 - -68\/57. Let p = 177 + -178. Which is the closest to p? (a) o (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(13)*1*-4 - (sqrt(104)*-1)\/sqrt(8).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 7*g**2\/2 - 251. Let m(v) = 51*v. Let q(c) = 10*c. Let b(t) = -4*m(t) + 21*q(t). What is b(k(o))?\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20943.261s to minutes.\nAnswer: 349.05435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 470 or 469?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + b = -33 + 30, 10*l - b - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 - 3*r - 428 + 215.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*1 - sqrt(224))*-3)\/(sqrt(48)\/sqrt(3)))\/(sqrt(24)\/(sqrt(33)\/sqrt(11)) - -2*-6*sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g + 1\/12*g**4 + 0 + 1\/2*g**2 + 1\/3*g**3. Give c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a. Let m be s(-2). Let x = m - 9. Suppose 0 = -3*i + x + 23. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 36*d - 7. Let c(a) = -a**3 + a**2 - a + 1. What is -2*c(q) - h(q)?\nAnswer: 2*q**3 + q**2 - 34*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -75. Which is smaller: -1\/43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(48\/30))\/(40\/(-12))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286\/3 - -95. Let g = 2217 - 2228. Which is the nearest to j? (a) -3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 37*i + 26. Let b be p(18). Let d(x) = 7*x - b - x - 7*x**2 + 18*x**2 + x**3. Is 16 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1077193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102135086*t**3 + 180358837 with respect to t.\nAnswer: 306405258*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 5)*(1 - 1 + 5*d) + 6*d + 6*d - 18*d)*(7*d**3 - 5*d**3 + d**3).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.8427409 - -17971.8767829. Let i = y - 17913. Let n = -0.034 + i. Round n to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.71387 litres in millilitres?\nAnswer: 47713.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 676464619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1334\nAnswer: 133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.44807 and 5.47.\nAnswer: 7.9209429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + (3*78)\/1. Suppose -59*q + 61*q - n = 0. Let y = -61 + q. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 23*s - 2 - 11*s - 13*s. Let l be g(1). Let c be (1 + 3\/l)*214000. Round c to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/19*14\/7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2*30\/24)\/(2\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in -0.3, -2\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 16*h - 3. Let i(q) = -q**2 + 5*q. Let m(s) = -f(s) - 4*i(s). Let w(a) = -3*a**2 - 3*a + 2. Calculate 5*m(n) - 6*w(n).\nAnswer: 3*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - (-27 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w - 80*w + 43*w**3 - 82*w - 44*w**3 + 243*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175047767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + j + 135 = -x, 3*j - 85 = -x. Suppose 3*c - h = x, -c - 3*h - 72 = -4*c. Suppose -3*o + 1 = 5*d, 4*d + 0*o = 5*o + c. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/97 - -9523\/776. Find the common denominator of 37\/36 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*r - 553539*l - 347095*r with respect to l.\nAnswer: -2*r - 553539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 - 279. Let w = -23\/3 + 7. Sort t, w, -5 in ascending order.\nAnswer: -5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*k*l - 11077*b**2*l**2 + 4*b**2*l + b**2 + 33*b*k*l**2 - 8*k*l + l + 23 wrt l?\nAnswer: -22154*b**2 + 66*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/(-12) - 2\/(-6). Suppose -3*i - y + 23 = 0. Suppose 3*j - i*u - 45 = -2*j, 0 = 4*j + u - 41. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889033630 divided by 2?\nAnswer: -444516815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*y - 112*y = 45. Solve -y = 3*h - 12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 - 37*b + 251. Give k(5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3516, -6058, -8610, -11178, -13768, -16386, -19038, -21730?\nAnswer: -24468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -213*d + 4857. Determine j(23).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1089) + (sqrt(90)*1)\/sqrt(10))\/(1*((sqrt(3) - ((2*sqrt(147) - sqrt(147)) + sqrt(147))) + sqrt(3))).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 24468 - 4272 = 0. Let k = -1987 + p. Is k\/((2 - 3)*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 32*t + 5*r = -45, -5010 = -t + 385*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842728643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*w = 9 - 0, -c + 8*w = 38 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/7549?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:42 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 9 + 15, 20*j + 16*j + 12*j + 410 = 3*v - 151 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 60 = -30. Solve -5*u = -o*i - 25, 2*u - 14 = 4*i - 0*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104\/3 - -34. Suppose 96 = -4*a + 5*d, 4*d + 47 = -3*a - 56. Is i <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from fqqqmmmq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.09 - 46.29. Which is the nearest to -2? (a) x (b) -218 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/456720 and -103\/11052624?\nAnswer: 55263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 108500\/(-13671) - 2*7*1\/(-2) and 85\/4122.\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 58*g**2 + 2*g - 2. Let n = -24 + 25. Is r(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-142)\/(-10) - (-2)\/(-10). Let n(f) = -f**3 - 2*f**2 - 2*f - 2. Suppose 5*o = -10 - 20. Let p be n(o). Calculate the highest common factor of d and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*s**3 - 23 + 5*s**2 - 2*s**2 + s**2 + 39*s**3 + 45*s**3 wrt s?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 327\/(-6) - (-4)\/8*1. Let t = k + 151. What are the prime factors of t?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*s + 5*s + 21, 3*w - 16 = 2*s. Let b be 3\/(((-18)\/15)\/((-4)\/5)). Solve -b*q - 8 = -3*p + 5*p, p - w*q = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllccclcclcl?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:52 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14241, 56941, 128107, 227739, 355837, 512401?\nAnswer: 697431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368855408.\nAnswer: 2, 67, 3142589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42784920 divided by 120.\nAnswer: 356541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15293 and 4103.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8930 - 57940 = 3*u. Round u to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 13*b**2 + 4*b - 7. Let i = 175 + -182. Let g be s(i). Sort 5, g, -2 in descending order.\nAnswer: g, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000134581 rounded to 7 dps?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 - d. Let k be r(1). Suppose k*v - 2*v - 16 = 0. What is the highest common factor of 36 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 62 = 14 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/24 + c**3\/2 + 3*c**2\/2 - 1. Let i(v) be the second derivative of z(v). Differentiate i(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 212*w**2 + 5*w - 474. What is the units digit of p(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11115020 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 4*d + 0*d + 15 = -5*d + 2*j, 3*j = 5*d - 2*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874 is divided by 145.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.7*-2.22.\nAnswer: -32.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10*1 - (-2)\/(-12 + 2). Which is the nearest to 6\/53? (a) -2\/9 (b) w (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8500 - -12615. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 100. Let c = i - 40. Suppose 4*j - c = j. Solve -b - 3*b = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(1764)*-3*5)\/(4*(sqrt(1728) - 6*(sqrt(1728) - (sqrt(1728) + 1*sqrt(1728) + sqrt(1728) + sqrt(1728))))).\nAnswer: -35*sqrt(3)\/304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2. Let d(k) = -4*k**3 - 5*k**2 + 3*k. Suppose -4*b + 6*b = 4*h - 10, 0 = 2*h - 6. Determine b*d(r) + 6*a(r).\nAnswer: 2*r**3 + r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*q**2 - 32939 + 32939.\nAnswer: -127*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -4*v**5 + 625*v**3\/6 + 3*v - 6. What is the second derivative of j(c) wrt c?\nAnswer: -480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, y: 1}. Give prob of sequence ycs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 417541462 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 12. Solve 4*a + 17 = 5*j - m*j, 5 = 2*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 48 + 4*j**2 - 8*j + 7*j - 3*j**2 - 11*j. Let d be c(9). Solve -5*x - 1 = -d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 1656?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 3497.\nAnswer: 3496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -0.1 (c) 1\/2 (d) 4\/7 (e) 1\/6 (f) -2 (g) 4157\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29741, -29778, -29815, -29852, -29889, -29926?\nAnswer: -29963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*(o\/(o*o*o*o**(-1\/5)*o)*o)\/o)**(-1\/8) assuming o is positive.\nAnswer: o**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**3 + 105*j**2 - 18*j + 33. Give g(10).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1829, -1832, -1835, -1838?\n\"Answer: -3*s - 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - 0 - (-5 + -367)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 16*t + 2. Let n be u(8). Solve -3*s - 10 = n*j, 7*s - 3*s = j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, 1\/2, 57, 2\/15, -0.12, 0.4?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 30143392.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - l - 19. Let z be g(3). Solve -5*x = j - 15, z*j = -3*x + 24 + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 5*o**2\/2 - 17*o + 598. Suppose 3*c = 2*c - 4*v + 32, 2*c = 4*v + 16. Does 11 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2. Let g be ((-54)\/4)\/3*-2. Suppose 0 = -0*s + s - g. Let v(k) = -2*k + 2*k + 7*k**2 - s*k**2. What is v(n(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 112 + 106 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*h**2 - 3579785*c**2 - c*h**2 + 105*c*h + 16574*c + 1 wrt c.\nAnswer: 4*h**2 - 7159570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p. Let t(w) = 41*w + 3. Let s(f) = -13*f - 1. Let y(v) = -11*s(v) - 4*t(v). What is -11*g(o) + 2*y(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -376 in decreasing order.\nAnswer: 5, -8, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -10\/21 in descending order.\nAnswer: 15, 5, -10\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = -4. Suppose 2*k - 2 = 2, 2*m = 2*k + 80. Suppose x*h - 3*h = m. What is h rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(6\/5)*k**(-2\/7)\/(k**(-2)\/k) assuming k is positive.\nAnswer: k**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*d + 152*d - 63 = 4*x, 0 = 4*d + 4*x - 84 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 34*a**3 - 28*a**2 + 10*a + 37. Calculate k(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = -0*a. Let o be -4 - (-10 - 3) - a. What is the tens digit of -3 - o*(0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-5 - 9 - -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 4:14 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -101628 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - -124. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -19. What is the greatest common factor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*29\/(-8120)*-20.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (39 - ((10 - -18) + -4)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnhphhpnvnhhvdwpnpp. What is prob of picking 1 h, 1 n, 1 v, and 1 p?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-322))\/(((-11)\/(-165))\/(16\/(-12))).\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 234\/((-216)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2002539 and 693.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 3076303 + 1538151 + 5*z + 1538152 + z - 6*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329093.\nAnswer: 3, 59, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-45)\/(-36)*2\/(-5)). Suppose 0 = -4*s + 20. Suppose x*q + 23 = 3*q - 4*m, 0 = -4*q - s*m + 50. Round q to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 2 - 72*f**3 + f - 4*f**4 + 73*f**3 - 4 in the form k*f + p*f**4 + w*f**2 + d*f**3 + s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 3475.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) 0 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 450?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g - 924. Let x be l(44). Solve s + 19 = 4*r, 3*r + 5*s - 7 - 13 = x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 16*f + 51. Let o be s(-3). Solve -2*w + 3*i + 0 = 2, -4 = -5*w + o*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301 times -93.3?\nAnswer: 307983.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiqiqsquqi. Give prob of picking 1 u, 1 s, and 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 7*l**3 + 5*l**3 - 2*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1414070.\nAnswer: -11312560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 658, 1, -25.6, -0.1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 3*z**2 - 5 + 0*z**2.\nAnswer: 3*z**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3866000 to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3758, 3759, 3760, 3761, 3762?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c - 2 + 3*c)*(-25 + 17 - 23).\nAnswer: 62*c + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 - c + 22. Let x be o(0). Suppose -114 = -25*k + x*k. Suppose -37 + k = -q. What is the second biggest value in -6, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90185 - 63146 = -7644*l + 116140 + 201371 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 130 = -2*f, 4*s + 5*f - 283 = 234. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -508, -607, -294, 431, 1568?\n\"Answer: 206*h**2 - 717*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 3*d**2 + 6*d - 7. Let a be -2 - (-8)\/((-56)\/(-49)). What is the units digit of j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 - n**2 + 2 + 2*n**2 with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80303067 by -686351.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {m: 1, t: 3, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -6.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 372696\/267120 + 1\/30?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 520 + 71*z**2 + 80*z**2 + 74*z**2 - 219*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 145, -72, 2, -4 in descending order.\nAnswer: 145, 5, 2, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19727467 > 19727467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*(4 + sqrt(567))*-2 - ((sqrt(567) + 1 + sqrt(567))*2 - ((sqrt(567) - (-2 + sqrt(567))) + -3))))**2.\nAnswer: 5400*sqrt(7) + 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -888 + 587. Is 1\/(300\/q + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 1024.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 4272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 3*t - 3. Let a be x(4). Let m be a + 26 - (4 - 7)*-1. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/(5\/((-10)\/3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 23 = -10. Suppose -3*g + 4*g = b. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0612422 to four decimal places.\nAnswer: -0.0612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62303 = -1209*a - 2784*a + 9571 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -8*m**2 - 8 + 6 - 15. Let q(v) = -v. Calculate q(y(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105864089 to 6 decimal places.\nAnswer: -0.001059","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express -12*u + 21*u - 6*u - u**2 + u**3 - 6*u + 2*u**4 + 1 as j*u**2 + y*u**4 + k*u**3 + w + p*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.434 + -0.376. Let h = v - 0.458. Which is the fourth biggest value? (a) h (b) -0.2 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 13 = -3*t, 2*t - 6*n - 76039 + 76061 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 412 = j, 154 = 13*j - 436*b + 435*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -32124524 (base 6) to base 2\nAnswer: -11100110100110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*c - 3427 - 13148. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x**2 + 7*x. Calculate v(4).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490116636 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(288)\/(sqrt(27)\/sqrt(3)) + sqrt(32) + 1*sqrt(800) + sqrt(32) + -5) + 4))**2.\nAnswer: -58368*sqrt(2) + 300688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 3, t: 1, u: 2, m: 4}. What is prob of picking 1 y, 1 j, and 1 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -58. Suppose -8 = r*a - 344. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 11)*(4 - 6\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, -5*n + 10938 = -s - 25380. List the prime factors of n.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3924 = -282*j + 173*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 320*v**2 + 36 - 26 as g*v + w*v**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/1155 + 49*s**6\/660 + 104*s**5\/55 + 48*s**4\/11 + 2005*s**2. Factor h(w).\nAnswer: 2*w*(w + 1)*(w + 24)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by -718.\nAnswer: 249\/718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/4 + (-1)\/(-4). Suppose -2*u + 3*u = 24. Let t = u + -10. Solve -t = i*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2 - 4726450*a - 1116966480125 = 0.\nAnswer: -472645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 = -2*p. Suppose 0 = -v + 5. Suppose -v*w = p - 125. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 2800776*t + 5601546.\nAnswer: 3*(t - 1867182)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*s + t - 29, -2*t - 36 = 5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -8.2. Let b = s + -8.3. Let n = -41 - -42. What is the closest to n in b, -1, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/((-54)\/(-81))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - v**2 - 3*v**2 + 6*v**2 + 4*v - v**4 - 4*v + (1 - 6 + 2)*(2*v**4 + 0*v**4 + 0*v**4).\nAnswer: -8*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 599.00261 + -599. What is v rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153120 + 1?\nAnswer: 153121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257202 times 0.1?\nAnswer: 525720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 1. Let k(n) = -n - 2. Let x be k(-3). Let l be 0 + -2 + x - -2. Let q be z(l). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 386779835 + 0.084.\nAnswer: 386779835.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let p be -3*4\/(-12) + 1. Let g(y) = -7*y**p + 2*y**2 + 16*y**2. Calculate k(g(u)).\nAnswer: -242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 33987*t + 229.\nAnswer: 33987*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/420 + h**5\/35 - 3*h**4\/28 + 5*h**2 + 19. Factor a(u).\nAnswer: -2*u*(u - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 4. Let x(b) = -2*b - 3. Let k(s) = -4*x(s) - 3*z(s). Suppose c = -4*c + 25. Let p(i) = 3*i**2 + 6*i**2 + c*i**2. Calculate p(k(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 24*w**2 + 58*w - 187. Let x be s(13). Solve -48*n - x = -85 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*w**2\/5 + 8*w.\nAnswer: 2*w*(51*w + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q - 7. Suppose 3*m = q*m - 8. Solve 0 = -5*c - 27 + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7668115 by 80717.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 347614054 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 123. Let w = o + 57.00000035. Round w to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - -4. Suppose -4*g + 8*g = 5*k - 92, 3*k - 3*g - u = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -53. Let l be 8 + 2 + 0 + b. Let k(p) = -1. Let s(m) = 6*m - 3. Let o(c) = -4*k(c) + s(c). Let g(v) = 11*v + 2. What is l*o(d) - 4*g(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 143.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five sixths of a year?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.32 - -9.98. Round i to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32212 (base 9) to base 7\nAnswer: -116066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 - 2)) + 1 + 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + (-107)\/(-3). Let g = 36 - j. Let y be 3 + (-5 - (1 - 2)). Which is the biggest value? (a) 5\/4 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325) + -1 - sqrt(325)))**2 + 5 + sqrt(325) - sqrt(325) - sqrt(325)*2*-2.\nAnswer: 10*sqrt(13) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 + 394 - (-29 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x - 84*x**2 + 135*x**5 - 3*x - 133*x**5 - 53*x**6 wrt x.\nAnswer: -6360*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/119 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 54268356 and 54268355 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/5)*b)**(-13)\/(b**0)**(-40))**(-43) assuming b is positive.\nAnswer: b**(1118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3157602 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let k(g) = -g**3 + 11*g**2 - 3*g - 5. Let i(y) = k(y) - 5*x(y). Let f be i(5). Solve f*c - 11 = 2*n, -c + 13 = -4*n - 0*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7543 + 7573. Solve 5*o + 29*d - 29 = z*d, 10 = -2*o - 5*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:42 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3 + 60*k**2 + 345*k - 400 = 0.\nAnswer: -5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m + 6 - 7*m - 3*m**2 + 3*m. Let v be s(4). Solve -6*r = -v*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -114e?\nAnswer: 114f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(200) - sqrt(50) - sqrt(2)))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27753 - 16604. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 110 - -154) + 30.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -82*m. Let f = 772 - 769. Let l(h) = -478 + 478 - f*h**2. What is j(l(r))?\nAnswer: 246*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382 - 36\/(18\/(-2)) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2\/3 + 10156*b - 2560880\/3 = 0.\nAnswer: 85, 7532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -0.4. Which is the nearest to -2\/5? (a) -0.3 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -1\/6*x**4 - 2\/105*x**5 - 20\/21*x**2 - 16\/21*x - 4\/7*x**3 - 51. Factor a(h).\nAnswer: -2*(h + 1)*(h + 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1720 + 8601\/5. Let n = -119 - -951\/8. Let z = -1 - -6. Which is the fourth biggest value? (a) v (b) z (c) -1\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:56 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1492 + -952. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -81, -329, -743, -1323, -2069, -2981?\n\"Answer: -83*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 73729?\nAnswer: 1\/73729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 22427.755 to the nearest ten.\nAnswer: 22430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 23*r + 9*r + 7*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-4)\/(-8))\/4. Suppose p*i + 3*i - 129 = -3*v, 81 = 2*v + 3*i. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27504 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1713543 at least as big as -1713543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 + 98 = 5*z. List the prime factors of (-4*z\/8)\/1.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*v**3 - 3\/5*v + 33\/5*v**2 - 33\/5 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40890607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 7*h**6\/120 + h**4\/24 + h**3\/6 + 5*h**2\/2 - 4*h. Let v(c) be the first derivative of p(c). Determine v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(128) - (sqrt(128) + -1))**2*-3 + ((sqrt(18) - sqrt(72)\/sqrt(4))*-5 - (sqrt(2592) + (sqrt(2592)*2 + sqrt(2592) - sqrt(2592))))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 11 - 10 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123426, 246848, 370268, 493686?\n\"Answer: -h**2 + 123425*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -4, 1, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02675741 rounded to 4 decimal places?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5070*z**2. Let j(n) = 6*n. Determine j(c(r)).\nAnswer: 30420*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + 3*y - 2. Let l be 9\/(-5) + (-2)\/10. Let k be (3\/l)\/(-3)*0. Suppose k = -2*d - 2*d + 8. Determine m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 62273931*g + 62273931*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 times -431\nAnswer: -20.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261935999*s**5 + 939*s**2 + 145134.\nAnswer: 15716159940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.012 + 50.988. Let i = z - 46. What is the second smallest value in 0.2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzym when four letters picked without replacement from {z: 2, h: 2, y: 8, l: 2, o: 1, m: 2}.\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4454 and 17405446?\nAnswer: 295892582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from iiiiiiibiiiibiibii.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -162560*-0.1617\nAnswer: 26285.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -642 + 646. Suppose 5*z - 28 = -4*c, -17 = -5*c - 5*z + 13. Solve w + 4*x - i = -25, 0 = -3*w + c*x + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10 - 110 - 57*h - 4*h**2 + 34*h wrt h?\nAnswer: -8*h - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 56 = w, -3*w - 19 = 20*d - 22*d. Solve d*z - 12*z + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -267*t**2 + 26*t + 25. Let d(a) = 89*a**2 - 8*a - 8. Let s(q) = 21*d(q) + 6*g(q). Is s(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1083100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 - 79. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 4*j = 64. Solve -5*v + 6 = -j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -44. Calculate the common denominator of 43\/(-8) + 2\/1 and (-9)\/4*z\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(66))\/sqrt(3) + -2*sqrt(1782))\/(-2*sqrt(50)*5).\nAnswer: 57*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20978\/(-72))\/((-10)\/(-30)). Let d = -876 - m. What is the common denominator of (218\/(-88))\/((-1)\/(-2)) and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + n + 4*n. Suppose 3 = -0*v - v. Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 51*n - 3283. What is the remainder when 932 is divided by d(68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -272, -239, -172, -59, 112?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 8 - 8)*(26*l**2 + 674*l**2 + 621*l**2).\nAnswer: 7926*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*y - 5*o, 3*y - o = -6*o + 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pmppmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1732?\nAnswer: 13856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379742?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*h + 5*h + 12, h + 20 = 3*q. Suppose 11 = z + q. Solve -z*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 12192346\nAnswer: -21\/6096173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768621949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 2*n**2 + 5*n + 2. Let y be g(3). Let k be (0 + -12)*(-2)\/y. Solve -19 = -5*b + d + d, 1 = 2*b - k*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 20 = 0, 4*l - 2*j - 18 = 0. Let q = l + -17\/2. Which is the biggest value? (a) -0.4 (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 39.96. Let r = -0.044 - j. Let g = r - -0.00568. Round g to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*v - 2*n + 112, n = 3*v - 193. Calculate the highest common factor of v and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x + 0*x + 4131 = 108*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8168, -32917, -74180, -131969, -206296, -297173, -404612?\nAnswer: -528625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3425274123 to the nearest one hundred thousand.\nAnswer: -3425300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14720*m**2 - 4908*m**2 - 313 - 4907*m**2 - 4899*m**2 to the form w*m + v + t*m**2 and give v.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/5 of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9696, -9705, -9728, -9771, -9840, -9941?\nAnswer: -10080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 15*p**2 - 14*p + 8. Give h(16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -50, 0.2 in ascending order.\nAnswer: -50, 0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 796 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-2)\/7 - (-60)\/63). Let h be ((-3)\/4)\/(1\/(-4)). Suppose v*o**2 + 0*o**2 + 3*o**3 + 2*o**4 - 7*o**h = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 49 = 82. Let j = -13 + m. Is 27 a factor of 267 - (2\/j)\/(1\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/5)\/((-1)\/(-5)). Suppose -16 = 3*h + 5*a, -3*h + p*h - 3*a = 30. Solve -h*o = -0 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 334, 319, 304, 289, 274?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144768 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 20 + 7. Let p = 19 + o. What is the remainder when (-10)\/(-4) - (-4)\/p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-117) - 141\/(-27). Let o(u) = u**3 + 7*u**2 - 7*u + 10. Let l be o(-8). Let n be (-2 - -2*l) + -2. Solve -5*m - 10 = -2*d, d - y = 2*m - n*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2 + 0 + 0). Let y = m - 4. Let h be -3*(-3 - -4 - (1 - 1)). Put y, 2\/5, h in decreasing order.\nAnswer: 2\/5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16139090 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6 - (-12)\/(-18). Let f(z) = 2*z**2 + z - 3. Let w be f(h). Let a be -3 - (w - (-128)\/(-20)). Is a > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -829, -853, -877?\n\"Answer: -24*y - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - 24. Let l = w + 13. Let a(n) = n**3 - 6*n**2 - 6*n - 7. Let v be a(l). Solve 2*c = 3*j - 16, v = -3*c + 2*j - 26 + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c + 2*a, c + a = -a + 4. Suppose -i + 3 = 2*r, -3*i - r + 13 = c. Solve -3*m = 3*h - i, 4*h + 3*m - 2 = m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3881513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20629151\/1450 - -14227. Calculate the common denominator of o and 89\/8.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaz when three letters picked without replacement from {x: 1, b: 2, a: 6, j: 3, e: 2, z: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*s - 378, -4*m - 4*s = -3*s - 300. What is the highest common factor of m and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2334 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2 - 6*v + 4. Determine x(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4893 = o + 3*d - 4857, -186 = -15*o + 21*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/420 + m**6\/60 - m**5\/20 + m**4\/12 - m**3\/12 - m**2. Find v such that o(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 63*c + 2131500 = 0. What is c rounded to the nearest 1000?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 2*j + 6. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -78\/10573319?\nAnswer: -78\/10573319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 1 = 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43 * 154.\nAnswer: 66.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 16)*2\/(-7). Sort y, -1, -3, -5 in descending order.\nAnswer: y, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 89. Let z(r) = -54 - 3*r + 24*r + 5*r + n*r. What are the prime factors of z(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - z + 7. Let w = -71 - -135. Let g = w + -58. Does 17 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 33368?\nAnswer: -33362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 347, 527, 707?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = -2*x. Let h = -187 + 202. Suppose -x = -2*d + h. Calculate the greatest common divisor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.87099 and 427.6.\nAnswer: 425.72901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -114.8807. Round s to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose -u*v + 4*v = 134. Suppose -v = -2*w + 7. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 20. Suppose 3*y - r*y = 8. Let t(h) = -6*h. Let j(m) = -m. Calculate y*j(c) + t(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.846 - 0.054. Let q = f - -6. Let y = 54 - 429\/8. What is the closest to q in -2, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 16, 15, 8, -5, -24, -49?\n\"Answer: -3*m**2 + 14*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4384 - 1965 = 907*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2. Suppose -5*x - 16 = 3*b, x + 10 = -x. Let a be -1 - (-2)\/(-1)*-1. Let z(f) = a - b*f - 1 + 0. Calculate q(z(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33462 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/4 (b) -2\/675 (c) 0.0309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 143?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 - 186. Calculate the remainder when 46 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 + 5152*g**3 + 327228*g**2 = 0. What is g?\nAnswer: -1221, -67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r - 5. Suppose -32*u + 179 + 13 = 0. Let n(z) = 9*z + 6. What is u*n(t) + 7*j(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 445033, 1780012, 4004975, 7119916, 11124829?\n\"Answer: -r**3 + 444998*r**2 - 8*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k + 3 = 2*f + 42*k, 0 = 2*f - k + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9958 - 29880 + 9957 - 44122*x + 9965)*(3*x - 3*x + x**2) to i + h*x + n*x**2 + g*x**3 and give g.\nAnswer: -44122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 10*b - 13. Suppose 70 = 19*h - 177. Let p be a(h). Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*n + 23*n + 3*n - n + 893 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/132)\/((-1)\/(5\/5)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 2. Let s(a) = 4*a**2 + 2. Let u(p) = 6*s(p) - 5*y(p). Calculate the remainder when u(2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 - r - 3. Let i be k(2). What is the second derivative of 9*s**3 - 3*s + s - 2*s**i - 2*s wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7}. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12280 divided by -2\nAnswer: -6140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 183 - 8 = 0. Calculate the remainder when 59 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = 2*z, 5*k - 33 + 69 = -4*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 - 7*l + 9. Determine q(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32415.2236 - 8699.\nAnswer: -41114.2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 458671*z**5\/20 + z**4\/12 - z**3\/3 - z**2. Let w be m(-3). Let k = -8784109 + w. Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.303071 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69383532763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1) + 56*-2. Let q = -111 - g. Suppose 2*l - 477 = -3*k, q*l - 616 - 317 = k. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/3, 0.5, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssk when three letters picked without replacement from sksskkrsrksr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 184*s + 163. Determine k(-6).\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24309737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - ((-161 - -2) + -2). Suppose 3*y = -3*o + r, -4*y + 2*y = -o - 118. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13906690, -27813383, -41720076, -55626769, -69533462?\nAnswer: -83440155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 517 and 47?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16 - -3)\/((-175)\/350).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/16, -0.07, 726, 1\/6, 2?\nAnswer: 726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*k**2*r - k**2 - 576667*k*r + k - 2094*r + 476 wrt k?\nAnswer: -16*k*r - 2*k - 576667*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 5) to base 12.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 6*k + 9. Let z be s(8). Let i(y) = -y**3 - 6*y**2 + 5*y + 4. What are the prime factors of i(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110*6.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*l = -3 - 36, -l = -3*s + 27. Suppose -s + 5 = -c. Solve -2 - 1 = t - 4*r, -4*t + 14 = -c*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 977244681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -16.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 44*n + 53. Determine z(43).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 - 159 = 40*c + 471 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2\/11 (c) 9.3 (d) -1834 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 5. Suppose -2*z + 4*z + 18 = 2*y, -4*z + 2*y = 28. Let r(i) be the first derivative of 7*i**2\/2 + 6*i + 24. Determine z*r(h) + 6*d(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 1613. Let p(q) = 2*q. Give p(z(w)).\nAnswer: -6*w**2 + 3226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483748.\nAnswer: 2, 120937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 4*m, 5*w + 2 = m - 0. Let k = -0.02 - 0.38. Let y = -0.6 + 2.6. Sort y, k, m in decreasing order.\nAnswer: y, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 158, 185, 214, 245, 278, 313, 350?\n\"Answer: d**2 + 24*d + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than 1932.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 36*a + 12523500. Round a to the nearest 10000.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*h**2 + 863*h**2 + 0*h + 0*h + 612*h**2 + h**2 + 5 - 5 + (4 - 2*h - 4)*(-3*h + 5*h - 3*h).\nAnswer: 1329*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 23*k - 25*k + 16, 2*q = 8*k - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192680286 to the nearest integer?\nAnswer: 34535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2 - 2*y + 1. Let d be x(-2). Let i be 1*d\/(-6)*2. Let n = i - -18. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 108 = -8*h, -23*l + 25*l + 63 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*s**2 - 76*p*s - 429*p - 2*s**4 + 205*s**3 + 8*s**2 wrt s?\nAnswer: 4*p - 24*s**2 + 1230*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:33 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776111 - 282534 - 12534867 = -76*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2\/2 + 1620765*v\/2 - 810380 = 0. What is v?\nAnswer: 1, 324152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 4:33 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 3, 2, -16\/147?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + y + 16. Let s(a) = 143*a**2 - 2*a - 64. What is 4*h(w) + s(w)?\nAnswer: 135*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6*g + 33706, 17*i = 5*g + 13*i - 28087. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:29 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (848*x**2 - 35*x**2 + 54*x**2)*(8*x + 3*x - 8*x)*(-2 + 3 - 2)*(2 + 4 - 5).\nAnswer: -2601*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139702 + 139691.0013. Let o = -3 - 8. Let y = o - t. Round y to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 1. Let s(j) = -2*j**2 - 6*j - 1. Let q be s(-4). What are the prime factors of i(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 16*b\/5.\nAnswer: 2*b*(b - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 16954076988.\nAnswer: 16954076987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 3. Suppose v - n = -11, -2*v + 4*n - 54 = 3*v. Calculate the remainder when (-2)\/((-4)\/v*(-35)\/21) is divided by t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 2, i: 1, e: 1, f: 1, l: 1}. Give prob of sequence if.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -1 - (-4)\/(-6). Is m greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12283 + -12278. Let n(v) be the second derivative of 12*v**2 + 9\/20*v**a + 0 + 0*v**4 - 15*v + 0*v**3. What is the first derivative of n(t) wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3082455 and 2\/1484145.\nAnswer: 40071915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/402 and (-266057)\/44460 + 6 - 4\/52.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 42*k**2 - 350*k - 45. What is n(49)?\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*y - 3528009, -y - 2*y = b - 3528017. Suppose -4*t = -2933991 - y. Suppose -t = -4*m + 3772501. Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2601, 153 in decreasing order.\nAnswer: 2601, 153, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 6*b - 61. Suppose 738 = b*m - 422. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1163 = k, k - 34*z = -33*z + 1155. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 496*i + 16066.\nAnswer: -2*(i - 29)*(i + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14430 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10612 and 6800865.\nAnswer: 6790253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 + 19*p - 4. Let j be o(6). Let i be -36 + 1 - (-2 - 1). What is the tens digit of (16\/i)\/(j\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2785110.565 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755292781 + 7?\nAnswer: 7755292788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -228 - 1\/5*v**3 + 0*v + 9\/5*v**2. Factor k(s).\nAnswer: -3*s*(s - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1519703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 1342 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -150. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187b3 + -4?\nAnswer: 187ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((91905\/(-10))\/11)\/((-9)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38937 - -38940. What is the closest to 0.1 in 0.5, -2.4, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10977*l**4 + 226*l**3 + 449032*l**2 + 2*l - 14 wrt l.\nAnswer: 263448*l + 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*v - v = -11, -3*l - 26 = 4*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.08, 3\/11, -5, 1\/3251?\nAnswer: 1\/3251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86384 by -16.\nAnswer: -5399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0+307030771\nAnswer: 307030771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:12 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 565775616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7253\/4 + 1766. Let u = -163\/4 - p. Suppose -11*v**2 + v**5 - 2*v + 4 - u*v**4 + 29\/2*v**3 = 0. Calculate v.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + t. Let y be m(1). Let l be (-1296)\/28 + 4\/(-14)*y. Let o = 54 + l. Solve 0 = -4*n + 8 + o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - 1. Let s be x(2). Let z be ((-2)\/4)\/((-1)\/10). Suppose 0 = -2*k - w + z, 0 = 2*k + w - 6*w - s. Is 4 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 + 2402*g**3\/11 + 5870*g**2 - 4950*g = 0. What is g?\nAnswer: -55, 0, 9\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2439341 - 4800749. Let k = d - -1391400. Let y = 500008 + k. Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1017645 divided by 3.\nAnswer: 339215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t - 12072 - 285940. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-10))\/((h**9*h*h)\/h))\/(h\/((h*h**(2\/13))\/h))**(-4))**(-26\/9) assuming h is positive.\nAnswer: h**(406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/35 - 101\/70. Let v = 3993.5 + -3993.45. Which is the third smallest value? (a) s (b) v (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155, 166, 177?\n\"Answer: 11*f + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 30. Suppose -9 = -3*a - u, -4 = 4*a + u - f. Determine l, given that 14\/3*l**a + 4\/3*l**3 - 11\/3*l + 7\/3*l**5 + 2\/3 - 16\/3*l**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (-12 - -15))*2\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7739\/60 - -388\/3. Let a = -41\/60 + c. Sort a, 4, 0.1, 3 in ascending order.\nAnswer: a, 0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442787 is divided by 776?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 4. Determine u(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.62 - -0.82. Let w be (-4)\/(-2) + 51 + 7. Let s = -182\/3 + w. Sort s, 1\/3, k, -0.4 in decreasing order.\nAnswer: 1\/3, k, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-1 - -5)) + 80. Find the common denominator of 47\/18 and 3\/(-6) + b\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 1494*z**3 + 1414*z**2 - 1518*z**3 - 1414*z**2 + 2.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -37. Let y = 96 + g. Suppose 4*o - y - 208 = 0. Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2419 - -2461.9. What is o rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635359 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Let b = -2.7 + 2.8. Is b > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 101153383?\nAnswer: -7\/101153383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 518\/42 + 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = a - 3, -a = -d - 2. Suppose -3*v - 2 = -2*j, v + j = -j - 6. List the prime factors of (75\/v)\/(-3*d\/18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 32*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - b + 7 = 2*h, -2*b + 69 = 7*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*m**4*t - 26460*m**2*t + m*t + 419*m - 233*t wrt m.\nAnswer: 1080*m**2*t - 52920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/((l**26*l)\/l))\/l)\/l*l**(-4))\/(l**(-21))**44 assuming l is positive.\nAnswer: l**894","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.52043376 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11468356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -23. Let n(p) be the third derivative of s*p**4 + 1\/12*p**5 + 5*p**2 + 0 + 1\/2*p**3 + 0*p. Differentiate n(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quh. Give prob of sequence uh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*v**2 + v - 377*v**2 + v.\nAnswer: -275*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - -0.66. Let d = m + -0.5. Put -4, -5, d in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y + 3. Let q be t(7). Suppose -4*d + c = -10, q*d - c = c + 5. What is the second derivative of -5*i**3 - 2*i + 5*i**d + 2*i**5 wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -87. Let w = b - -65. What is the remainder when 59 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 50\/(3 - 42\/12). Is 105 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 11) to base 13.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - y**3 + 3*y**2 - 3*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2113, 0, -3, -1 in descending order.\nAnswer: 2113, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by 108?\nAnswer: -125\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/6 + j**3\/6 + 7*j**2\/6 - j\/6 - 1 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34022 (base 8) to base 7.\nAnswer: 56564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 774\/135*(675\/(-115) - -5). Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 0*h = -2163. Which is smaller: -310 or h?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a factor of 2970832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -48. Let d be (-4)\/p + 6\/33. Solve d - 2\/3*a**2 - 2\/3*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 2*r**3 + 13*r**2 - 13*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 5*j + 2. Let l be q(-4). Let g = l - -33. Let o = g - -8. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -61*x - 123 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -o, -335*o + 23 = -d - 340*o for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -10?\nAnswer: 59\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zffz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*c + 11 = 0, 5*r + 2*c - 15 + 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 21*i - 3. Let c(q) = 2*q**2 - 10*q - 2. Let t(f) = -7*c(f) + 3*g(f). What is t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2500442 or -2500481?\nAnswer: -2500442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186 or -1670\/9?\nAnswer: -1670\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**2 + 12*h - 12*h + (1 - 1 - h)*(0*h + 4*h - 3*h) + 330*h**2 - 2 - 1108*h**2 - 1840*h**2 + 2.\nAnswer: -2626*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 - 3*n**3 - 3*n + 4*n. Let u be p(1). Solve -5*h = -u*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**3 - 4*u**2 - 3*u. Let k(m) = -14*m**3 + 3*m**2 + 2*m. Give 3*k(o) + 2*q(o).\nAnswer: -16*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -16. Let n = 21 - f. Suppose 6*o - n*o + 216 = 0. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19470000 = -188*b + 182*b. Round b to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 2*d**2 + 2*d**2 + 2 + d**2 - 2*d**2. Let g(k) = k**2 + 2*k + 1. Let s(f) = -f**2 + 2 - 5 - 2 + 4*f. Let y be s(4). Calculate y*g(h) + 2*v(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + c + 10*c - 5*c)*(0*c**3 - 3*c**3 - c**3).\nAnswer: -24*c**4 + 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*s + 59*s - 44*s)*(2*s + s - s) in the form g*s + f + i*s**2 and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/18 - -1)*3. Let y = -8582 + 8580. What is the closest to y in k, 1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 13\/((-26)\/12). Let q be 1\/3 + 52\/(-12). Let t = c + q. Solve t = 3*b + 9, 2*n - b + 2 = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/12 + m**3\/2 - m**2 + 2*m. What is the lowest common multiple of a(-6) and (3 - 4)\/(15\/(-1680)*7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:15 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*u + 30, 18485 = -5*o + u + 18500 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z**2 + 6. Let u(q) = 5*q**2 + 2. Let c(w) = -4*n(w) + 11*u(w). Let l(v) be the first derivative of c(v). Let h(k) = 2*k**2. Determine h(l(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-164)\/(-90). What is the third smallest value in 4, -3, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -45263\nAnswer: -9052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 - 4*y**2 + 2. Let n(a) = -13*a**3 - 7*a**2 + 5. Give -5*b(x) + 2*n(x).\nAnswer: 4*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -13*o - 429. Let x(a) = 8 - 26*a - 5 + 67*a - o*a. Let b(q) = q**2. Determine b(x(h)).\nAnswer: 4*h**2 + 12*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-113 + 106 - -2231)\/(-16)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-12)\/(-4))\/(-3). Which is the closest to v? (a) -2 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 - -119. Is 3 - (-2382)\/4*(-24)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 13*h**3 - 13*h**3)*(-322*h + 116 - 232 + 116).\nAnswer: -644*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + -155. Let u = 3380\/19 - 178. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 128*s**2 - s - 128*s**2 - 1 - s**3. Let u(o) be the first derivative of 3*o**4\/2 - 2*o**3\/3 + 5*o**2\/2 + 6*o - 3. Give -5*q(h) - u(h).\nAnswer: -h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -5)*1*-3. Let x(q) = 15*q - 389*q**3 - q**2 - 16 - 13*q**2 - 1 + 390*q**i. What is x(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a - 286 = -26*a. Is -85\/4 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 3*s + 11 - 11 + (10*s - 18*s - 9*s)*(7*s - 3*s - 3*s - 2).\nAnswer: -18*s**2 + 37*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let m(r) = 88*r - 79. Give c(m(t)).\nAnswer: 15488*t**2 - 27808*t + 12482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 2.7. Let m = -13 + 12.7. Let s = m - -0.8. What is the third biggest value in u, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4765.\nAnswer: 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 12*v - 10. Suppose 2*a - 32 + 81 = -5*x, 5*x + 3*a + 51 = 0. Is u(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -16 - -105 - 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/21*1*-2)\/(100\/(-150)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.15 + -0.2\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l - 4. Let k(j) = -2*j. Calculate 2*k(m) + n(m).\nAnswer: 11*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 56. Suppose -y - 28 = -0*v + n*v, -v - 31 = -4*y. Put -2, v, 5 in decreasing order.\nAnswer: 5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmch when four letters picked without replacement from dlcdlhllmhcldlc.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56020157503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19644 is divided by 1504?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/2*w**2 + 1\/20*w**6 + 5*w - 7\/40*w**5 + 0 + 1\/4*w**3 + 1\/8*w**4. Factor z(t).\nAnswer: (t - 1)**3*(3*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3803, 3810, 3819, 3830, 3843?\nAnswer: 3858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 less than -5249233?\nAnswer: -5250040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 6816?\nAnswer: -6815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 20.5. Let f be (-2)\/(-3) - (-13)\/39. Put -1\/6, f, -1, x in increasing order.\nAnswer: -1, -1\/6, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:10 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*g - 138. Let m be 1016\/30*(-60)\/72 + 16\/72. Is g <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**2 - 35*t**2 - 63 + 7453*t**3 - 7450*t**3.\nAnswer: 3*t**3 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 2 + 2)*(2 - 4*c + 3*c + 6) + (-16*c + 13*c - 28*c)*(-3*c**2 - 3*c**2 + 3*c**2) in the form s*c**3 + b + l*c + d*c**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(34)\/(sqrt(2)*1) - (sqrt(102) - (sqrt(102) + -2*sqrt(102) + sqrt(102)))\/sqrt(6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q - 192*q - 247*q + 87*q - 5092 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 346101 (base 9) in base 10?\nAnswer: 207847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2593 - -2597. Let m be ((-12)\/(-10))\/((-6)\/(-964)). Let i = m - 192. What is the nearest to 0.1 in s, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161b135 (base 12) in base 6?\nAnswer: -240504505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343\/5 + 70. Put 2\/5, -2, -10, k in decreasing order.\nAnswer: k, 2\/5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = 3 - 68 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.24 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + -8 + 2\/2. Suppose 0*y + t*y = 9. Solve 0 = 2*h + y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a + 31. Let g(s) = -205*s + 1228. Let h be g(6). Calculate p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -2 + -4 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -7*j + 340*j + 12489 + 8364 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122011 (base 3) to base 8.\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-151776)\/16800)\/((-9)\/(-14)).\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 27*i - 26. Let n be d(26). Factor 0*m + 2\/7*m**5 + 16\/7*m**3 - 8\/7*m**2 - 10\/7*m**4 + n.\nAnswer: 2*m**2*(m - 2)**2*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 6. Let j be y(-5). Suppose -3*k - 4*p + j = 0, 1 = 5*k + p - 3. What is the second derivative of -t + k*t - t**3 + 2*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 6 = 0. Let v(h) = 4*h**3 - 4. Let p(q) = -q**3 + 1. What is c*v(f) + 22*p(f)?\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(4*(-3)\/90)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50726997301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 3 (b) -96 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - -51. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 31*x**5 + 151*x**4 + 42*x**3 - 628*x**2 - 664*x + 96 = 0.\nAnswer: -3, -2, 4\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11630*n + 151227. Determine b(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 + 148. Let p(h) = s - 4*h + 3*h - 4*h + h. Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from eeeeccee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3763063673 to 5 dps.\nAnswer: -1.37631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - -10. Let u = -23 + v. Let i = u + -23. What is the lowest common multiple of 66 and i?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0546171392 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 247808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(1700)*-1 + 1 + sqrt(1700) + (sqrt(1700) + -2*sqrt(1700)*3)*-2)**2*6.\nAnswer: 2400*sqrt(17) + 1020024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.4, -3, -1.1, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6240 = 27*r + 321*r - 36*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 42, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11107 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 61. What is the second derivative of -11*b + 6*b**5 - 18*b**5 + x*b**5 - 2*b wrt b?\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + p + 4*p + 1 + (-4 - 7 - 5)*(-3*p - 10*p + 3*p) as o*p + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j - 41 = 5*r, -62 = -5*j + 2*r. What is the remainder when 104 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 11529*t**2 + 195126*t.\nAnswer: 3*t*(t + 17)*(t + 3826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t + 58905 = 12*t. What is the common denominator of -10\/9 and (t\/20 + -2)*(-6)\/135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**4 + 34930540*v**3 - 61006118240510*v**2 - 3538442988189780*v - 51307849292758245 = 0.\nAnswer: -29, 3493083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4826*w**3 + 14899*w**3 - 4474*w**3 - 4933*w**3.\nAnswer: 666*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 210 = 101*c + 4*c. Solve z + 4*x = -2, -3*x = -z + x - c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 1.5. Which is the nearest to d? (a) -4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3284 = -4*k + 4*r, 8*r = -k + 1008 - 133. What is the remainder when k is divided by 218?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12580\/(-1190) - -6*2.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 43*p**2 + p. Let o(b) = -b**2 + 12*b - 1. Let w be o(12). Let m be q(w). What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843497?\nAnswer: 843497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 1, b: 1, i: 3, s: 8}. What is prob of sequence ib?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127508.25 months in decades?\nAnswer: 1062.56875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 7, w: 6, i: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g + 4*y + 15, -y + 5 = 0. Let k(w) = -10*w + 5. Let l be k(-5). Suppose 3*n - 8 = l. What is the highest common factor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10*r + 15. Suppose 4*g = 3*s - s + 16, -2*s = -r*g + 11. Find the first derivative of 0 + s - 4 - 3*a wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/8 of a microgram?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -1290884.6 rounded to the nearest one thousand?\nAnswer: -1291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 3. Let b be 5 - (3 + 0) - -5. Let t be (-4)\/(-8)*(b + 1). Let f be r(t). Solve 0 = 4*y + f - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214914 by 294.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x + 38*x - 27*x = 650. Calculate the highest common factor of x and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -31\/7, 3, 2\/19, 0.5, -0.24, 1\/15?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -6aa663?\nAnswer: 6aa661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by 5\nAnswer: -413\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-20)*o*o)\/(o*o**0))\/(o**(4\/9)\/o**(-20)))**(9\/11) assuming o is positive.\nAnswer: o**(-355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 - 1 - 5*v + 7*v - 12*v**2. Give b(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 829 - f - 414 - 421. Let w be t(-9). Solve -w*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -457146, 3\/7 in descending order.\nAnswer: 3\/7, -1\/4, -457146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 - -25)*(198\/8 + -1).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*r + 127*r = -2538. Calculate the highest common factor of r and 5625.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:48 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-225))\/(36\/(-5100))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 bigger than -1670\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5 + 2022*c**4 + 95442*c**3 - 2742422*c**2 - 2835840*c = 0. What is c?\nAnswer: -64, -1, 0, 21, 1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -18\/5*z**5 + 1 - 6*z**2 + 2*z + 3*z**4 + 16\/3*z**3. What is i in d(i) = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1343808 decades?\nAnswer: 1.343808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432e (base 15) to base 5.\nAnswer: 423334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265689547?\nAnswer: 239, 1511, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7782, -16188, -25732, -36984, -50514, -66892?\nAnswer: -86688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2010?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 + 3*t**2 - 3*t - 3. Let w(i) = -i**3 + i**2 - i - 1. Give 5*s(u) - 15*w(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 18. Let i be n(11). Let d = -0.6 + 2.6. Let w = d - 2.2. Which is the smallest value? (a) i (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 times 30?\nAnswer: -9090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583800.\nAnswer: 2, 5, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {n: 1, q: 1, e: 1, i: 1, b: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1526, -0.25, -14\/59?\nAnswer: 1526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 3. Let v(k) = 8*k**2 + 3. Let t(b) = -4*u(b) + 5*v(b). What is the first derivative of t(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 173*m**2 + 84*m**2.\nAnswer: 256*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/2 + 5925*x\/2 - 1403034 = 0. Calculate x.\nAnswer: 788, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 6 = 4*y - 6*y - 0, 7*b - 9 = 4*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + -22641?\nAnswer: -23011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 106 + 246 - 140.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 15. Let c be s(13). Suppose c*v - 3570 = -5*v. What is the tens digit of 30\/4*(v\/18 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 796 by -5858.\nAnswer: -398\/2929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1515415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 + 6*l - 3. What is the tens digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 3*c**5 - c**5 + (-3*c + 3*c + c**2)*(4*c**3 - c**3 - 2*c**3) + 5*c**3 + 2*c**5 - 5*c**3 - 10*c**5 + 7 - 7.\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 527\/6. Let c = 68 + -419\/6. Calculate the common denominator of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 618\/(-42) - 7104\/3108\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*q - 2*u, -10 = -2*q + 5*u + 15. Let y = -13169 - -13175. Solve z + 1 - y = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:02 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8 - 174\/(-624)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/15*(1 + -80). Let v(o) = 84*o - 1. Let n be v(-2). Let b = g - n. Calculate the remainder when b is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 3*p + 18 = -0*p, -5*p = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15387*g**2 - 13349*g**2 + 27260*g**2.\nAnswer: 29298*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 n when four letters picked without replacement from {g: 6, n: 2, c: 9}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -499, -535, -571?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25195 - 25194. Let b(y) = -13*y + 3. Give b(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4898 divided by 15\nAnswer: -4898\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 3 = 111 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569369 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 4*j + 3. Let u be 2*(-9)\/6*-1. Suppose -12 = -h - i, -u*h + h = -3*i - 19. Suppose m - 3 = 2*m - t, -3*m = t - h. Determine o(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 82290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -27, -36, -49, -66, -87?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 147, -5, -1, 0, 0.2 in decreasing order.\nAnswer: 147, 0.2, 0.1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635*d**3 + 6134 - 6134 + 45*d**3 + 1938*d**2 wrt d.\nAnswer: -3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrnrrrwrw. Give prob of sequence wnwr.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8333 by -3.\nAnswer: -8333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 131, 205, 281, 359, 439?\n\"Answer: b**2 + 69*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -2 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - 8) - -20 - 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 104*i - 4*i**3 - i**3 + 10*i**3 + 248*i - 4*i**3.\nAnswer: i**3 + 144*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 5. Let s(f) = -7*f - 7. Let w(b) = -3*g(b) - 2*s(b). Let d(u) = 4*u + 3. Let i be d(3). Let p(l) = 2*l + 3. Calculate i*w(q) + 5*p(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6339554220.000000374 - 6339554364. Let u = k + 144. What is u rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**2 + 4*b**2 + 254*b - 269*b wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -14. Suppose h = -6*m + 12*m - 18. Solve -m*n = 2 + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0))\/w)**(-2\/51)*w**(-5)\/(w\/(w\/w**(-2)))*(w**(-1))**14*w\/(w*(w*(w\/(w*w**(-2)\/w))\/w)\/w)*(w*w**2)\/w assuming w is positive.\nAnswer: w**(-865\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + q**3 - 3 + (-2*q**2 + 2*q**2 + q**2)*(-2*q + 4*q + 0*q) - q**3 + 0*q**3 + 0*q**3 + (-2*q**2 + q**3 + q**2 + 2*q**2)*(52 + 18 - 116).\nAnswer: -44*q**3 - 46*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let n(r) = -38*r**2 + 27. Calculate j(n(f)).\nAnswer: -1444*f**4 + 2052*f**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-2) - 12 - 8\/(-2). Let i(g) = -2*g**2 + 7*g + 15. Give i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 5*k = -8, -k - 18 = -3*g. What is the first derivative of g*c + c - 64 + 46 wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 69 + 214. Suppose 5*x + g = 2*z, 5*z - 20 = 3*x + 5. Solve -2*j = 5*l - 20, -16 = -4*l + z*j + 3*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 1. Let r be p(-1). Suppose 0*j - 4 = -r*j. Find the common denominator of 19\/6 and j + (-2)\/((-132)\/87).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -446\/5 - -89. Let b = 17 + -12. Sort -2\/7, b, t in increasing order.\nAnswer: -2\/7, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t - 1332 + 1332)*(3 - 3 + 4)*(-3 + 4 - 5 + (5 - 2 - 4)*(2 - 3 + 2) + 6 - 3 - 2 - 3 + 3 - 1 - 3 + 0 + 5).\nAnswer: 228*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 961, 1416, 1889, 2386, 2913, 3476, 4081?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-44)\/(-216) + 8\/2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 89854862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*j**3 + 3*j + 239*j**3 - 3*j.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10979.\nAnswer: 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 15. Suppose 4*c + 16 = -6*b + 2*b, -b - d*c = 20. What is the nearest to 0 in 3, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*(-39)\/11700*2\/(-6)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21974 and 0.4.\nAnswer: -8789.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 69*m**2 - 6 + 10 + 0.\nAnswer: -69*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 4*r - 8. Let x be n(6). Suppose h - x*s + 1 - 33 = 0, 52 = 4*h + 3*s. Solve -h = 4*t - 0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460500 (base 7) in base 6?\nAnswer: -24515033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 73\/226 + (-9 - 340\/(-40)). Is v less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by -5180?\nAnswer: -41\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 88\/28) + (-19642656)\/(-672).\nAnswer: 29231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {v: 1, n: 4, u: 2, o: 1, l: 4, x: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74655 bigger than 74655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3355597 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2))**(-2\/7) assuming p is positive.\nAnswer: p**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*33\/110. Suppose -j + 0*j = 0. Suppose -3*f = -j*f - 6. Which is the smallest value? (a) f (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31157 nanoseconds in milliseconds?\nAnswer: 0.00000131157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77924.73 years in months?\nAnswer: 935096.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 14 - 2*q + 0*q + q. Let z(i) = -i - 3. Suppose -4*b - 48 = -0*b. Let g be 28\/b + (-4)\/6. Calculate g*h(t) + 14*z(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/3, 864, 0.1, -1\/4, -2 in ascending order.\nAnswer: -2, -1\/4, -0.2, 0.1, 1\/3, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let r = -1 + k. Let z(l) = 1 - 2*l + 0 - r - 2*l. What is z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3236 = 4*q, 2*i - 1257 = -3*q + 1181. Suppose 0 = -13*o + 7*o + q. What is the remainder when o is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.008, -11\/3, 120 in ascending order.\nAnswer: -11\/3, -1\/2, -0.008, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4539\/7 + 642. Let j = a + 544\/77. Find the common denominator of j and 27\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465479.\nAnswer: 3, 1488493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27433603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 + 237*y**2 + 3*y - 237 = 0.\nAnswer: -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*h + 19141 - 427 = 191*h - 8166 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 66. What is o(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107568*j**3 + 3*j**2 + 2239*j + 454.\nAnswer: -645408*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85441582.\nAnswer: 2, 47, 908953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(16)\/(1*sqrt(8)))**2 - (sqrt(2) - sqrt(20)\/(sqrt(10) - sqrt(90)))).\nAnswer: -6*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*o - o + 2, 2*s + 5*o + 7 = 0. Solve 3*l - s*f = -16, 0 = -2*l - 2*l - 3*f + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 3*c**2\/2 + c + 1. Let v(b) = -4*b**2 - b**2 - 9*b - 3*b**2 - 15 - b**3. Let m be v(-7). Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8398 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 706 (base 10) to base 9\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 54 = 4*m - 5*m, 2*y + 5*m - 36 = 0. Suppose -3*g - 2 = -14. Calculate the remainder when 38 is divided by (y\/(-45))\/(g\/(-130)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(1\/(-84)). Suppose -3*p - p + 2*y + 230 = 0, -4*p - y = -215. Is p greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -2*f + 121. Find r such that -2\/15*r**5 + 2\/15*r + 0*r**3 + 0 + 4\/15*r**2 - 4\/15*r**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 11*y. What is w(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 557944\/11 bigger than 50722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/1760*(-5)\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**0\/v))\/v)**(18\/5))**(-14) assuming v is positive.\nAnswer: v**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000729114 rounded to 6 decimal places?\nAnswer: 0.000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + u + 2 + 1, -3*j = 5*u - 31. Let o be ((-520)\/(-36))\/5 + 1\/9. Solve s - o = -j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -0.8, -1, 5, 1, -0.2 in ascending order.\nAnswer: -42, -1, -0.8, -0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1522.4 + 1523.300072. Let c = l - 0.9. What is c rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 318. Suppose c = -c + a. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 17 = -c, -21 = -5*c - 6. What is the remainder when 34 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 1, o: 1, f: 1, t: 3, r: 5}. Give prob of picking 1 p and 1 r.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -644.\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*w - 7*w = 78, 3*w = -2*g + 67. Suppose -5*i + 2*u = -12 - 18, -3*i - u = -g. Calculate the remainder when 79 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8984490?\nAnswer: 2, 3, 5, 23, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 46. Let f be p(-14). Solve 4*l - 20 = a, -f*l + 1 + 19 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 20*l**2 + 66*l + 5. Let v be o(-4). Let s(h) be the first derivative of -13 - h + h**2 + 1\/4*h**4 + 4\/3*h**3. Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 655, 1008, 1365, 1726?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32127 + 88327 = 19*s - 215846. What are the prime factors of s?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*u = -951*u + 645 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13*3\/9*(-2)\/((1152\/27)\/(-32))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b + 117*b = -120*b - 11186 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (-50)\/(-12). Let a(u) = -u**2 + 8*u - 10. Let d be a(c). Calculate the highest common divisor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371483 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(260\/50))\/(-1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4)\/(1\/4)*-13*-1. Solve -n + 4*q = u, -4*q + 16 = -2*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let a(w) = 23940*w - 1. What is a(h(u))?\nAnswer: -23940*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -17a51898?\nAnswer: 17a51893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*v = i + 21, -28 = -4*i - 4*v. Solve 20 = -i*w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 6}. Give prob of sequence rrrz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 1) + (56 + -90 - -42)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 190 - 108*c**2 + c**3 + 3*c**3 + 187 - 377.\nAnswer: c**3 - 108*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 26 = 2*a, -3*a + 3*h = 2*h - 34. Let j = -16 + a. Let v(g) = 2*g**2 + 3*g + 4. Determine v(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9007, 9012, 9017, 9022, 9027?\n\"Answer: 5*g + 9002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -11*w**2\/2 - w - 4. What is the units digit of c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000071413 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.02, -3, 0.2, 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*y = -0*y + 13, 5 = 3*x + 2*y. Suppose 0*z + 41 = q - 4*z, x*q - 123 = z. Let r = q - 25. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h. Let g be u(-2). Let r = g + 5. Which is the third smallest value? (a) -1\/3 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122416.6 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55419?\nAnswer: 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 1852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357678 and 33.\nAnswer: 3934458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100395 and 26190.\nAnswer: 602370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (24 - (18 - -25))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 650 + -647.03. Let d = k - -0.2. Let p = d + -3.2. What is the biggest value in p, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((2\/3)\/(12\/(-36))). Let u(t) = -t**2 - 9*t + 12. Let n be u(-10). Suppose -4 = -n*w + 6, y - 4*w + 18 = 0. Put y, f, -3 in increasing order.\nAnswer: -3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28914046.999835 - -28914124. Let q = a - 77. What is q rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-366\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**4 - 13*k**2 + 2*k - 1. Let b(m) = 8725*m**4 + 65*m**2 - 10*m - 9838. Let c(p) = b(p) + 5*w(p). Differentiate c(j) wrt j.\nAnswer: 34940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57745850527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 20*o**3 - 275*o**2 - 250*o = 0. What is o?\nAnswer: -5, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from seeesssess?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 52. Let i = -39 + 56. Let c be d(i). Solve 14*w**2 - 54*w + 4*w**4 - 2*w**2 + 38*w + 16*w**3 - c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.5. Let l be (21\/2)\/(((-45)\/24)\/(-5)). Let i be (-1 - 7\/(-3))\/(l\/6). Sort -0.2, q, i in increasing order.\nAnswer: -0.2, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-4 + 4 - 2*i)*(148*i - 181*i - 89*i).\nAnswer: -244*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5163 + 5161. Which is smaller: y or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3*z - 10 - 2.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 295729*f*j**2*s - 14347931*f*j**2 + 4*f*j + 25*j**2*s**3 + j**2 wrt s?\nAnswer: 295729*f*j**2 + 75*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*l**4*r + 2*l**3*r - 93*r wrt l.\nAnswer: -484*l**3*r + 6*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 - 5*l - 6. Let x = -4 - 1. Let o be f(x). Let z be 6\/(-20)*8\/o. Which is the smallest value? (a) -2 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a factor of 1466317580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54 + (44 - 240) + 30\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-25)*m)\/m)\/(m**(-5)\/m)*((m**(-6\/11)\/m)\/m*m)**39)**(-49) assuming m is positive.\nAnswer: m**(42189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 - 6*a**2 - 12*a. Let t(y) = -y**3 + 2*y**2 + 4*y. Suppose 2*w + 20 = -3*w. Let s(k) = w*r(k) - 11*t(k). List the prime factors of s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, 8, 0.4, 148?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -99*d + 1. Let w(o) be the third derivative of o**5\/20 - 11*o**2 - 29*o. Give c(w(j)).\nAnswer: -297*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 (base 10) in base 3?\nAnswer: -112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/358 or 0?\nAnswer: -1\/358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-52))\/((-63*(-8)\/864)\/((-63)\/(-27))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 9*r**2 + 21*r**2)*(r - 2 + 2) + (-4*r**2 + 5*r**2 - 2*r**2)*(r + 2*r - 2*r).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7209 - 3326*x + 7209 as l + d*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -1616 + 501. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 + 98 + 7*u as y*u + n and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y + 0*y = 0. Let l = 413.7 - 414. What is the second biggest value in -0.4, -1, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75528.198 microseconds in hours?\nAnswer: 0.000020980055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaooroooooogo. Give prob of picking 1 a and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*1.342.\nAnswer: -0.12078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87\/2 + -43. Let c be 0 - (2 + 2*-1). Is c <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.84 + 2.1. Round i to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/6 - 295*o**2\/3 - 6940*o\/3 + 17600.\nAnswer: -5*(o - 6)*(o + 44)*(o + 80)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 - (-48)\/10. Suppose -4*y + 51 = p*x - 0, -y - x = -13. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48.7, -82, -1\/62?\nAnswer: -48.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -981317*h - 2427. Let b(f) = -809*f - 2. Determine -2427*b(l) + 2*y(l).\nAnswer: 809*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 - -1603. Suppose -13*a + x = -3443. What are the prime factors of a?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 2. Suppose -h*i + 0*i = 6. What are the prime factors of (-3)\/i + (0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**2 + j. Let f be c(-1). Suppose -f*q = -2*q - 104. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11 and (-454)\/(-48) - (1 - (-5)\/(-3)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 2685956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222220 - 22220102000?\nAnswer: -100000101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3)*u)\/(u**1\/u*u*u))\/(u**(-6)*u**(-5)) assuming u is positive.\nAnswer: u**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**3\/3 - 5*x**2\/2 + 2*x - 11. What is s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 2, l: 5, r: 2}. Give prob of sequence lr.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlce when four letters picked without replacement from vlllfewcflveeelfvlwv?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(2\/99)\/t)\/t*t)\/t)\/t*t*t**(-3\/10)*t*t)**(1\/12) assuming t is positive.\nAnswer: t**(-277\/11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/75? (a) 1\/14 (b) -4 (c) -2\/5 (d) 0 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:46 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2. Suppose 57*s - 59*s = -2. What is q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = 245. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 (base 7) in base 15?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-20) + (-1)\/4. Put 0.4, -3, x in descending order.\nAnswer: x, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35408157.\nAnswer: 3, 1453, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 8. Solve -3*x + i*x - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**8\/420 + k**5\/40 + k**3 - 3. Let d(n) be the third derivative of a(n). What is the second derivative of d(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 955085856 to the nearest 100000.\nAnswer: 955100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18a2e - -151b?\nAnswer: 19f49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2 and 131\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69\/11 in -2, 0.2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.205162 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001099 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138297 is divided by 152.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -36. Does 9 divide ((0 - m) + -1)*(-390)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/21 - 12*g**2\/7 + 794*g\/7 + 9976\/21 = 0. What is g?\nAnswer: -43, -4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.475889 seconds to days.\nAnswer: 0.0007809709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3134988 and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a factor of 1764474521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1)*x))\/x)**45 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.0196, 4?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69180033*i + 69180177*i + 16704 = 0 for i.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*n = 10, x - 2*n - 10 = -4. Sort 12, -1, -3, x in increasing order.\nAnswer: -3, -1, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.06 (b) -1 (c) 1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(169\/(-10918)) + 6\/39.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18040*r - 28418*r + 390546*r.\nAnswer: 380168*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 357*y**2 + 6396*y + 11340 = 0.\nAnswer: -14, -2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.1, -41, -0.2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4014985s in hours?\nAnswer: 0.00150041625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -972, -1454, -1936, -2418, -2900?\nAnswer: -3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 232 = -5*x, 0 = -3*x + 2*b + 41 + 99. Let m = x - 46. Is m*(-4 + 609\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -46. Find the third derivative of 28*i**2 + 8*i**s - 16*i**6 - 38*i**6 - i**2 wrt i.\nAnswer: -6480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171 * -0.08.\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + u**3 - 2*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 232 = -y + 227, 5*y + 16 = -2*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 122064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 - b - 1. Let o(t) = -4*t**4 + 36*t**3 + 12*t**2 + 28*t + 24. Let z(i) = -o(i) - 24*s(i). Determine q so that z(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*y + 5, -4*y = 4*a - 16 - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1527, -3065, -4603, -6141, -7679, -9217?\n\"Answer: -1538*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 35*c + 52. Let g be z(-16). Solve l - 4 = 3*q, -4*l + g = -5*l - q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.019 + 5.419. Let l = r - 5. Let k be (-16)\/30 + (-2)\/(-6). Which is the second biggest value? (a) k (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -16. Suppose -5*i = -p*s - 120, -5*i - 3*s + 5*s + 123 = 0. Calculate the greatest common factor of i and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4704 and 95\/4182.\nAnswer: 3278688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3439, 57, -14 in increasing order.\nAnswer: -3439, -14, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -497514.344 rounded to the nearest one thousand?\nAnswer: -498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615637 is divided by 615624.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 2 - 4)*(100 - 100 - 4*y).\nAnswer: -4*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10.4. Let k(m) = 4*m - 29. Let u be k(7). Let v be (-357)\/(-68) - u\/(-4). What is the closest to 1 in v, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 134*v + 207*v + 558*v as x*v + u and give x.\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -10*n + 9887. Which is smaller: n or 1004?\nAnswer: 1004","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*m + 292*m - 177*m + 29 + 77 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.03. Let i = 11.4 - 12. Let j = i - -0.3. What is the second biggest value in j, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 6)\/((-2)\/(-3)). Let b(k) = 2*k - 1. Let i(w) = 6*w - 3. Let c(a) = -17*b(a) + 6*i(a). Let f(q) = 2*q - 2. What is z*c(y) + 2*f(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*o**3 + 2*o**4 + 8\/3*o**2 + 0*o + 0.\nAnswer: 2*o**2*(o + 2)*(3*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.33606 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - 147. Suppose v = -y + 4*y. Solve -y*z - 16 = -5*t, 3*z - 2*t = -2*z - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 29*i = 12461 - 11361 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1045, 2248, 3451, 4654?\nAnswer: 5857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.65839 - 0.16?\nAnswer: 89.49839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-18)*(-1140)\/(-2850)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 16*w - 13. Let h be v(15). Suppose 0 = 3*k - 4*f - 4521, -2*f = h*k - 3500 + 472. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 8. Let n be y(7). Which is the third biggest value? (a) 3 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 295 = -0*y. Let f be -4 + 3 + (59 - -2). Suppose -q = -5, -4*d + 2*q + 2*q + f = 0. Calculate the remainder when y is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from eeedydeydw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j + 21. Let k(a) = a + 6. Let q be k(-3). Suppose q*l = -2*l - 4*g + 35, -70 = -5*l + 3*g. Calculate v(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 2, 5, -23, -4 in increasing order.\nAnswer: -23, -4, 2, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6212 - 4?\nAnswer: -4.6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 + 2 - 2) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/10045 and -5\/451.\nAnswer: 110495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 778289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) -3 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6028 in 4, 504, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/18 and 5\/845982.\nAnswer: 845982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 7*z**2 + 5*z**2 - 10 - 7*z**2 + 19 - 7*z. Suppose 2*a + 0*a = -3*n + 2, -4*a = -3*n + 32. Let w(s) = -4*s + 5. Give a*w(v) + 3*r(v).\nAnswer: 3*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose 0 = 3*b - 4*b + 16. Suppose -8*o = -4*o - b. Solve d + o = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3960 divided by -6.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 218.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 33*g**3 + 13*g**4 + 42*g**3 - 10*g**4 + 0*g**2 + 2*g**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 42256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c77 + -1?\nAnswer: 4c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4347, 4306, 4239, 4146, 4027, 3882?\n\"Answer: -13*s**2 - 2*s + 4362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -28, -64, -114, -178, -256, -348?\n\"Answer: -7*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9324809 rounded to three dps?\nAnswer: -5.932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577 is divided by 80.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 849*w**2*x**4 - 17*w**2 + 11551*w*x**2 - 58*x**5 wrt x?\nAnswer: 20376*w**2*x - 3480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 579*d**3 - 39276*d**2 + 1051920*d - 7905600 = 0. What is d?\nAnswer: 12, 60, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1210 - -14024132?\nAnswer: 14030342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from {z: 3, d: 1, p: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01692 to four decimal places.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -165. Is 3 a factor of (1576\/(-4))\/g*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*t**2 + 29817*h**2*t + 494*t**2 - 2*t - 1 wrt h?\nAnswer: 4*h*t**2 + 59634*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34c5 - 3?\nAnswer: -34c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s + 6 = 61. Let t = -0.237 - -0.027. Let q = t - 0.29. Put s, 0.3, q, 2\/5 in descending order.\nAnswer: s, 2\/5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 27271*j**2. Let w(c) = -20*c. What is b(w(m))?\nAnswer: 10908400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150909654341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 4. Let t be n(0). Let v = -3 - t. Let j = v + 14. What is the remainder when 28 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378326189 is divided by 1166?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18657 - -0.2\nAnswer: -18656.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/8)*b*b\/b**4)\/(b**(-1\/4)*(b*b**(3\/2)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 2145. Let b(m) = -m**2. What is i(b(x))?\nAnswer: 2*x**2 + 2145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:35 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 y when three letters picked without replacement from {y: 4, s: 1, o: 2, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 211*r**2. Let g(u) = 24147*u. Determine g(a(t)).\nAnswer: 5095017*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 5360852*w\/5 - 3592341770738\/5.\nAnswer: -2*(w - 1340213)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 3 + 0 + 3. Let d(r) = 4*r**2. Give d(c(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3)*u)\/u*u)\/(u*u\/(u*u*(u*u**(-2\/7))\/u))*(u*u\/u**(-3))\/(((u\/(u*u**(4\/9)))\/u)\/u) assuming u is positive.\nAnswer: u**(430\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -68, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 147. Let s = b + -34. What is the highest common factor of 34 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-51))\/(370\/150*-5)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -668, -1002, -1336?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2 + (-3 + 2 - 1)*(-2 + 0 + 0) + 0 - 3 + 5)*(0*l**2 + l**2 + 0*l**2) + 9*l**2 + 47*l**2 + 42*l**2 in the form o + a*l + q*l**2 and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34143327, 34143361, 34143453, 34143633, 34143931, 34144377?\nAnswer: 34145001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 45 + 1275 = 0. Suppose -5*u + 120 = -b. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/5 + 312*k**2\/5 - 8152*k\/5 - 17568\/5 = 0. What is k?\nAnswer: -2, 36, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-35))\/(2\/(-5)). Find the second derivative of 4*o**5 - q*o - 5*o**5 - 3*o - o**5 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 11 - (-8)\/2. Let q be f\/12*-1*-4. Solve -19 = v + q*p, 0 = 4*v + 2*p - 6*p + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**6 - 1206*b**5 + 7*b**2 + 2*b - 1.\nAnswer: -1560*b**3 - 72360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295423040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1031 (b) -5 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*8\/(-3). Suppose 3*s - 3 - 3 = -3*h, 0 = 4*h + 5*s - 5. Let f = p - h. Which is greater: f or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 144 = -14*h. Solve k - 5 = h*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 552*r**2 - r + 524*r**2 + 413*r**2 as z + a*r + g*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -10, 2, 28, 74, 146, 250?\n\"Answer: j**3 - 2*j**2 + 3*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3394856 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10320.6 - 1048.632?\nAnswer: 9271.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 27 = -4*q, -505 = 3*d - 496 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*k - 279 + 3*k + 288 + (-2*k + 5 - 5)*(1 - 1 + 1))*(3 - 4 + 3) to r + c*k and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + (-51)\/7. Let o = -10 - f. Let t = -0.1737 - 0.0263. Put t, 2\/3, o in decreasing order.\nAnswer: 2\/3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 46. Suppose u = d + 6*d. Suppose 4*h - 3*w - 581 = 0, 4*w - 150 = -d*h - h. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + 629\/(-68). What is the lowest common multiple of j\/(-18) + 62\/4 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888770 is divided by 444253?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let a = 0.2 - t. What is the smallest value in 2\/7, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 175, -2 in descending order.\nAnswer: 175, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:46 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -267010322 and -5.\nAnswer: -267010327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/7? (a) 4\/3 (b) -5 (c) 218.954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2 (b) 379 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 416 + -1*(-16)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7403 + -51820\/7. Which is the smallest value? (a) 0 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, y: 10, j: 1}. Give prob of picking 1 p and 3 y.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*2)*-6 - (sqrt(128) + sqrt(128) + (2 + sqrt(128))**2).\nAnswer: -132 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 84402614\nAnswer: 84402613.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 17. Is (27 + 1)*j\/(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.036 + -0.35. Let i = 0.086 - v. Let o be 2\/(-4)*(0 - 0). What is the fourth smallest value in -3, o, i, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270 a factor of 5988251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179208 + -894215?\nAnswer: -2073423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2 + 0*x - 1\/18*x**4 - 2\/27*x**3 + 0*x**2. Find u, given that q(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 12*u**2 - 102. Let o(a) = 5*a**2 - 50. What is 5*o(c) - 2*s(c)?\nAnswer: c**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*g + 21, a - 2*g - 85565 = -85561 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10122913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:47 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 3*f. Suppose 2*t - t - 2 = 0. Let p be 3\/6 + 3\/t. What is g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d + 22*d + 11*d + 0 + 0.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/18)\/11*10\/25\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 2. Let o(h) = 7*h**2 + 5. Let c(b) = 5*d(b) + 2*o(b). Let n(k) = -670*k**2 - 4*k + 5*k + 676*k**2 - k. Calculate c(n(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 555. Let u = q + -82. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s + 4*s - 5 + 12 - 7.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 7*y + 4. Suppose 0 = -5*h + 3*h + 10. What is the tens digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 67*x = -27537. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 0*v**2 - v**3 - v**2 as g*v**2 + w*v + r*v**3 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14 = 4*b, 2*b - 14 = 2*m - 3*m. Suppose -w = 2*r + 22, 0 = 5*r + 5*w + m + 36. What is the units digit of 2\/r*-2 + 16\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 5, i: 4, j: 6}. Give prob of picking 2 j.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = 11. Let f(z) = z**2 + 10*z + 10. Let l be f(s). Sort 2, l, 5 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylv when three letters picked without replacement from ylv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by -4\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*m = -31, -249*h + 25 = -244*h - 5*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**4 + 1\/10*g**3 + 5*g - 3\/100*g**5 + 0*g**2 + 0. Factor j(o).\nAnswer: -3*o*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1475720627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1842*f + 1967*f - 9296*f + 1848*f + 1796*f + 1844*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 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: Suppose 4*g + 3 = g. Let d be ((-2)\/(-4))\/g*-148. Suppose 0*n + 56 = 2*l + 5*n, -5*n = 3*l - d. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 3562. Let m(x) = -1 + 1 + 4466*x - 8932*x + 4464*x. Determine m(k(p)).\nAnswer: -4*p - 7124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2868676, -2868674, -2868672, -2868670?\n\"Answer: 2*y - 2868678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 10:40 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 5*b + b - 3*b)*(-3*b + 4*b + 3*b)*(-59*b - 67*b + 13*b) as r*b**2 + p + d*b**3 + u*b**4 + h*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + s**3 - 15*s**2 + 25*s**2 - 11*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 137*m**2 - 80*m - 466. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, f: 1, l: 2, a: 1, q: 1, u: 1}. Give prob of sequence ll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0\/m*m)**28)**(-41)\/((m*m**0)**15\/(m**1)**(-14)) assuming m is positive.\nAnswer: m**(-1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:08 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2 - 65116*u + 16280.\nAnswer: -4*(u + 4070)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 9*y**2 + 10*y + 1. Let c be a(-10). Sort 2, -3, c in descending order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56626706.\nAnswer: 2, 173, 163661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:24 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 - 7) - (-68 + 125)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -10, 3, -37, 172 in ascending order.\nAnswer: -37, -10, -2, 3, 9, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snqsqtzssqtzsqqnqnqz. Give prob of picking 1 s and 1 q.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1607*u - 98969 = 3340*u + 5880*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = -2*b - 41, -x = -3. Let q = 22221\/2 - 11158. Find the common denominator of q and (-1274)\/(-132) + (-4)\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-77) + 37\/7 + -2. Solve 0 = 4*b + 12, b = r*f - 0*b - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 24. What is the remainder when 187 is divided by b + 0 + (14 - -14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1337*d**2 + d + 10. Let c(o) = -4011*o**2 + 30. Let m(w) = 4*c(w) - 13*s(w). Find the second derivative of m(x) wrt x.\nAnswer: 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -631\/9177?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 + 361. Find the second derivative of 73*j - d*j**2 + 22*j**2 - 56*j**2 wrt j.\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3301*z - 155 = 3305*z - 3*o, 0 = 5*z + 2*o + 165 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 4*f**2 - f + 2. Let g(r) = -r**2 - 1. Let n(m) = -d(m) - g(m). Suppose -68 + 16 = -4*w. Calculate the remainder when n(2) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-660)\/176.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-four fifths of a second?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31894049.72 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.305 + -5.065. What is l rounded to one dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*s - s - 1100, -5*a = -3*s - 1070. Let u = -351 - s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22602443 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -42, -88, -154, -240, -346?\n\"Answer: -10*p**2 + 4*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 55. Let z be v(17). Suppose -2*f - 2*f = -n + z, -n - 7 = 5*f. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 109 - 112, -d = 2*w - 9429. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -3. Suppose -l - b = -2*l. Suppose l + 1 = w. What is the highest common divisor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5993 - -6054. What is the remainder when 431 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105745341551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23812?\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -21. Suppose -w + 10 = a + a, 0 = -4*a + 2*w + 12. Suppose 4*u + 11 = 2*f - 9, 5*u = a*f - r. Solve -4*t + f = 0, 3*p + 2*p - 5*t = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, c: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5701 = 155*g + 14536 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4170?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26416368 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2. Let w(v) be the second derivative of 2*v**3\/3 - 4*v. Determine w(k(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29011 - 86?\nAnswer: -29097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 20. Let z be x(-4). Suppose k - z = -7*k. Suppose 460 = k*i + 3*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 6. Let t = 2829.24 - 2829.14. Which is the closest to k? (a) -4 (b) 1\/2 (c) -1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, o: 3}. What is prob of sequence oouo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let k be ((-2)\/l)\/((-1)\/10). Let j = 10 - k. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*j. Suppose 15 = -a + j*a. Is 16 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = -6*s. What is the third derivative of 2*d**s - 28*d**2 + 213*d - 213*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9cd - -1303d?\nAnswer: 12450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -268\/3, 5, 0.3?\nAnswer: -268\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10188 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6055\/789 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**3\/3 - 11*g**2\/2 + 12*g + 158. Let h be n(-12). Put 5, h, 2, -1 in descending order.\nAnswer: 5, 2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {a: 1, s: 5, k: 1, u: 5, o: 4, g: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860 = -19*q + 9*q. Let y = -183 + q. Solve y = -5*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 33. Let o be a(14). Suppose -t - o*k = -25, -3*t + 2*k + 36 = 4*k. Solve -2*r + 3*l - 1 = 0, -2*l + t - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 31. Let b = g - -57. What is the greatest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 times -0.2?\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.02 - -0.02. Let x = -1.3 + 7.3. Let r = x + t. Is r < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 69. Let u be x(37). Let j(n) = 3*n**2 - 13*n - 7. Let q be j(u). Solve -q*g + 4*d + 0 = 16, -g = 2*d + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 5*w + 4. Let k be f(-4). Suppose 3*x - 2*z + 30 = 2*z, k = -5*x + z - 67. Let g = 3 - x. Solve g = 5*a - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 9*m - 6*m - 210, -2*m = z - 50. Calculate the remainder when z is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 135 + 61 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182225 and 4030817?\nAnswer: 100770425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 30 - 24. Solve 15 = -p*o + 3*j, -j = -4*o - 3*j - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 20 = 0, -16 = 63*q - 65*q - 2*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-9) + (-8)\/36. Factor -16\/3*t**3 + 2*t**4 + 0*t + 0 - q*t**2 + 6*t**5.\nAnswer: 2*t**2*(t - 1)*(3*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1055 (base 6) to base 9\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191160533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1184)\/(-888)*((-1)\/(-3) + (2576\/399)\/(-8)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126109 smaller than 126050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 1. Let u be h(1). Let q(r) be the third derivative of -7*r**4\/24 + r**3\/3 + 14*r**2. Let d(a) = 3*a - 1. What is u*q(j) + 5*d(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2787 + -0.0213. Let u = -257 - -2053\/8. Let d = 0.13 - 0.03. Which is the biggest value? (a) d (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -675*g**2 - 309*g?\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + 41\/(-5). Let q = -3 - s. Suppose 2*y = 4*h - 6 - 40, 5*h - q*y - 70 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 27)\/2*(-2)\/(-4). Suppose i + 28 = 34. Solve -p = q - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 371600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2579805 and 121\/1080?\nAnswer: 61915320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 989.0000788 - 989. What is h rounded to 6 dps?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1159549 + -6?\nAnswer: 1159543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75.09 - 0.91. Let m = 76.087 + o. Let w = 0.213 + m. Which is the nearest to -2\/9? (a) w (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 28426196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 - 2*u. Let n(l) = -4*l**3 - 11*l**2 + 7*l + 3. Let f(i) = -n(i) - 5*s(i). Give f(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*l + 6*l**3 - 4 + 0*l**3 + 2*l**4 + 65*l + 2*l**2.\nAnswer: 2*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/140*10 + -2. Suppose -y + 0*y = 5. Let u(q) = 7*q - 2. Let n(o) = 13*o - 4. Calculate b*n(w) + y*u(w).\nAnswer: -9*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -d. Suppose -26*m + 25*m + d = 0. Is (1169\/m + -6)*1\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 71789436?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109\/23 + -304\/69. Let o = 2 + -1. What is the nearest to b in 3\/4, -3, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -27*r**2 + 52*r - 621. Let s(g) = 13*g**2 - 24*g + 309. What is -13*s(o) - 6*z(o)?\nAnswer: -7*o**2 - 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 104\/6 - 6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050973321.\nAnswer: 89, 11808689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3735406 kilograms in micrograms?\nAnswer: 373540600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 842, 839, 848, 875, 926, 1007, 1124?\n\"Answer: x**3 - 10*x + 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/4*(-10 - -1). Let x(n) = -2*n - g + 10 + 17. Let z(k) = 8*k. Give x(z(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12664 - -557153\/44. What is the common denominator of 19\/16 and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -18)*(-585)\/(-30). Let i = 488 + b. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12875, -13201, -13745, -14507, -15487, -16685?\n\"Answer: -109*p**2 + p - 12767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q. Let g(a) be the second derivative of a**4\/12 + 79*a**3\/3 + 6*a - 56. Give g(v(c)).\nAnswer: 900*c**2 + 4740*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 2. Suppose 3*d = -2*n - 33 + 10, 5*n + 32 = d. Let p(w) be the first derivative of -w**2\/2 - 3*w + 1. Let v be p(n). Calculate o(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/582 and -19\/66?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (3 - 1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13707072*c**2 + 22*c + 417785 wrt c?\nAnswer: -27414144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1835739 smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 1\/10, -3, -4, 0.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.387249 rounded to one dp?\nAnswer: 131.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005856 rounded to 5 decimal places?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 1254.\nAnswer: 52668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(26) + (4*sqrt(650) - sqrt(650)) - sqrt(26))\/(-4*sqrt(12)\/sqrt(6)))**2.\nAnswer: 73125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30 (b) -5 (c) 4 (d) 9 (e) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172\/5 - -34. Which is the second smallest value? (a) 1\/5 (b) q (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/14)\/(2\/7) - -1. Let g be 2 + -5*(-3)\/r. Suppose -g*c - 228 = -9*c. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 429\/5, -1928, -0.4.\nAnswer: -1928, -0.4, 429\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l = -4*v - 246, -214 = 5*l - 4*v. Let i = l - -50. Let o(t) = 4*t + 8*t - i*t - t**2 + 12 + t. What is o(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059719.\nAnswer: 3, 23, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -52. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/146 + 109\/73. Let u be (-2 - -1)\/((-1)\/(-7)). Let p be (-4 - (0 - 4))\/(-1). Which is the nearest to p? (a) u (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1455?\nAnswer: 1\/1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpxxxxxcxxx. Give prob of sequence xp.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 74931506.\nAnswer: 374657530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 107 + 4 = -16*j - 25, 0 = -4*j - 5*v - 16 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1580679 (base 11) to base 7\nAnswer: -31622301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*q - 9 = q, 3*q + 1 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.0159131\nAnswer: 0.0477393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51385356 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((8\/(-72))\/(((-48)\/9)\/(-16)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 472*a + 5680. What is h(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12297 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707255 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 16019 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y + 381506*y**2 - 1790 - 7*y**3 - 381411*y**2 + 2*y wrt y?\nAnswer: -21*y**2 + 190*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745, 14345, 48919, 116573, 228413?\nAnswer: 395545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/10*(-20)\/(-2). Let w be 16\/i - 1754\/(-14). Calculate the highest common divisor of w and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 59*u - 4107. Calculate m(66).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 2*d - 3*d**3 + 3*d + d**3 - 3 - 3*d in the form z*d**3 + u*d**4 + m*d + v*d**2 + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 2305825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) -124.5 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404 - 409. Let a(v) = v**3 + 4*v**2 - 3*v + 37. What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4753 + 4509. What is c rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.4 (b) -36 (c) -2\/5 (d) 0.043 (e) -5 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7198, -7199, -7200, -7201, -7202?\nAnswer: -7203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 59?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 7*v = p - 148, -4*v + 4*p + 168 = 0. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -2 - (-4)\/1. Suppose 4*s - n*s = -3. What is the derivative of -5*w - 1 - s*w + 2*w - 2 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(1005627\/335208 + -3). Let p = -1243400 - j. What is p rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*5*(sqrt(72) + 2*-3*sqrt(72) + sqrt(72))*-3 + -5)**2.\nAnswer: 1036800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 8 - 4 - h - 36*h**3 - 3 + h**2 as g*h**3 + u*h**2 + j + s*h and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3850 is divided by 1912?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n + 8. Let k be s(8). Let b(o) = k - 4*o - o**2 + 6 + 16*o. Let r be b(13). Is r >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2*j)*(2*j - 5*j + 4*j) - 10 + 6*j**2 + 10 + 4*j**2 + j**2 - 3*j**2)*(-2 + 2 - 3*j) as x + z*j**2 + q*j + a*j**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*((-2 - 2 + 2)*(-2*z**2 + 0 + 0) + 0 + 0 - 2*z**2 + 6 + 2*z**2 - 6 + 3*z**2 - z**2 - 3*z**2).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-65)\/(-195))\/(1\/30). Is 1084\/x - (-8)\/120*9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -29*c**2 + 1. Let r be t(1). Let n = r + 30. Factor 1\/2*w + 1\/2 - 1\/2*w**n - 1\/2*w**3.\nAnswer: -(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 3)*(-3)\/9 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 534\/(-1335)*(-60)\/(-14).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.599932 rounded to 1 decimal place?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1)\/sqrt(12) + -6*sqrt(39)\/sqrt(3).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*n + 61647 = 38910 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -39. Let c be 1\/5 + 130\/b. Sort 4, c, -2 in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**2 - 15*v - 9.\nAnswer: 3*(v - 3)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16930\/117 - -1306\/9. Is k != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*g - 79*g + 225*g - 79*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose v*z = z + 8. What is the remainder when 7 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 2, q: 2, p: 3, c: 10, g: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/4 (c) -4\/5 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.649 - 114.551. Round f to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -14. Suppose 4*r - 10 - 14 = 0. Let m be (r + -4)*2\/(-4). Sort v, -4, m.\nAnswer: v, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -0*v - 16. Suppose -x = 3*c - 4 - v, -5*x + 4*c - 8 = 0. Round x to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97.3 or -5?\nAnswer: -97.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**40\/d*d)\/d**(30\/7))\/((d\/d**32)\/d)**(1\/60) assuming d is positive.\nAnswer: d**(4016\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552496 is divided by 2762?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*b - 19 + 1, -w = -4*b - 2. Let r be (-15)\/(-4) + 1\/4. Put 2, r, w in increasing order.\nAnswer: w, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19128 by 9564.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 914, 1643, 2014, 1847, 962, -821, -3682, -7801?\n\"Answer: -30*z**3 + z**2 + 936*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 + 3 + 2 + 6*u. Let n be z(6). Let y = -3 + n. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199368.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*(18 - 18 - 8*d)*(-4 + 4 + 7)*(3*d**2 - 2*d**2 + 2*d**2).\nAnswer: -504*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(4\/3)*f\/f**(-9\/5)*(f*f**(-5\/2))\/f**5 assuming f is positive.\nAnswer: f**(-41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01862667 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9929 is divided by 1407?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(11))*6)**2 + (-6*(0 + sqrt(11)))**2 + ((sqrt(704) - -2*sqrt(704))*5)**2 + sqrt(704).\nAnswer: 152*sqrt(11) + 159336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2\/9 (c) -108 (d) 6 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 14*k - 23976 = 0. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10 and 4*(33\/(-18))\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292 + -188. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - -0.56. Let b = -0.01 + 0.11. Let t be 18\/(-264) - (-4)\/(-22). Sort t, u, b in decreasing order.\nAnswer: u, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451808280 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.215534 to 4 decimal places.\nAnswer: -0.2155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 19*d + 24*d = 105, -m + 5*d - 80 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631269 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854961*-13.1.\nAnswer: -11199989.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) -1\/3 (c) -36 (d) -158\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521811217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n - 4*u + 10491 = 0, 2*u = 3*n - 6299. Let q = n - 1422. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x + 3. Let h be c(3). Let y be (-6)\/4 - h\/(-6). Is 11 a factor of 10 + y + (-4)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24939*i**2 + 24940*i**2 - 149 + 432 - 140 - 143.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*h - 37, -2*h - 10*b + 6*b + 28 = 0. What is the remainder when h\/2 - 570\/(-10) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1838 - 2720*h**2 + 1838.\nAnswer: -2720*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-22) - 3\/66*-15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*a = -1403*a + 4030 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610755?\nAnswer: 3, 5, 19, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(12\/(-1)))\/(-17*125\/(-1700)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -21\/80*o**6 - 194481\/16*o**3 - 1323\/80*o**5 - 3 - 9261\/16*o**4 - 2*o**2 + 0*o - 1\/560*o**7. Factor z(k).\nAnswer: -3*(k + 21)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.7546 rounded to 1 decimal place?\nAnswer: 117.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 5*o**2 - 4*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 19. Let o be q(6). Suppose -o*f - 23 = 32. Let a be 2\/f + 576\/(-220). Is -4 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(162) + -1 + sqrt(162) - sqrt(4)\/(sqrt(98) - (1*sqrt(98) + sqrt(98) + sqrt(98)))).\nAnswer: 24 + 759*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/194 - -323\/12610. Let l = b + 112\/585. What is the third biggest value in 5, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2637142 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -18, -90, -234, -474, -834, -1338, -2010?\nAnswer: -2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose 4*n + 3 = 3*b + 7*n, 2*n + 28 = 4*b. Suppose -4 = o*h - b*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75768873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-60)\/7)\/5)\/((-1)\/(-7)). Is 13 a factor of (-28)\/a*(52 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5029 - 5028. Suppose 4*k - 67 = 13. Let p be 0 + 2 + (k - 3). Solve 0 = 4*a - p - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1142 by -1142.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81319577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598 - 185 = 59*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 - (-214)\/(-212)). Let t = 215\/318 - q. Factor 0 + 4\/3*p + t*p**2.\nAnswer: 2*p*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90672439 to the power of 1\/2, to the nearest integer?\nAnswer: 9522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/408 and -103\/102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4335575 take away 3.1?\nAnswer: -4335578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -12 + (10 - 20) - 9 - -17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2137*j - 21889 = 5892 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {k: 7, p: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/3076 and -67\/12.\nAnswer: 9228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7924140 is divided by 3962068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.21 + 25.21. What is the fourth smallest value in 2, -1\/4, -40, -1\/2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 = -10*i. Let b(d) = 3*d**2 + 2*d + 5. What is the remainder when b(i) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5745*w**3 - w + 1145?\nAnswer: 34470*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m - 2*m)*(m + 3*m - 10*m) + (-2*m + 2 - 2)*(-2*m - 5*m + 0*m).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46 + (-3 - 15\/(-6))*0. Suppose -w = -15*m + 13*m. Find the second derivative of m*v**4 + 32*v - 65*v + 6*v**4 wrt v.\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 13*s - 3. Let l(q) = 53*q - 1 - 2 - 54*q - 5. Let b be l(5). Let r be z(b). What is the third biggest value in 6, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + n - 4*n)*(2*n - 2*n - n**2) - 3*n**2 - 1 + n**2 - 2*n**3 - 5*n**2.\nAnswer: -3*n**3 - 7*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 - 201?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/1333 + -1270249\/6665. Let n = -191 - x. What is the third smallest value in -3, 2, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouuooouooouuo. Give prob of sequence ooo.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.266808kg to nanograms.\nAnswer: 2266808000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 171*-4\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 303*p**2 + 2923*p - 2052. What is j(-293)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155 + 55?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -10*o - 1120. What are the prime factors of 1\/(o\/(-185) - 3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 5:35 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 1208*m - 8488. Calculate p(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070123?\nAnswer: 7, 438589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*i**2 + 88*i**2 - 63*i**2 + 2.\nAnswer: -36*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 120. What is the greatest common factor of c and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49, -114, 29.9?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100751031 + -100750978.000071. Let q = m + -53. What is q rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9617 and 2?\nAnswer: -7.9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.72377 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.930514 meters in centimeters?\nAnswer: 593.0514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(34\/170)\/((-4)\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36*a - 14*a - 23*a. Suppose -3*q = -8*q. Let y(t) = -3 - 1 - 13*t + 2 + q*t. Determine y(b(u)).\nAnswer: 13*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-404)\/(-10) - (-16)\/(-40). Let w = -19 + k. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18.86. Let q = l - 0.14062. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.05 (b) -13\/4 (c) -4\/7 (d) 5 (e) 303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5 - 1. Solve -4*a = x + x + 18, -21 = o*a - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/467100 and 56\/321?\nAnswer: 49979700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.047, -2\/663, 2, 38, 11, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42508316 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (219\/(-730) + (-11)\/30)*(-54)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 76*b - 789. What is a(85)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035425922 a multiple of 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 315.4, -2\/3, 3, -3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 53351.\nAnswer: 480159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:32 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:40 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98475759, 98475762, 98475765?\n\"Answer: 3*t + 98475756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 931*c**2 + 689*c + 2832. Differentiate g(p) with respect to p.\nAnswer: 1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1699 - -1788.7. Let f = p - 90. What is the second biggest value in f, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**3\/3 + 3*w**2 + 8*w - 11. Let f = -75 + 116. Let h = 35 - f. What is c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180300949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i - 901 = 22*i. Calculate the remainder when 592 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 + 0.3. Let w = 10 + -15. What is the closest to b in -0.1, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 49*x + 20 = 52*x, 5*g - 25 = x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v - 12*v - v**3 - 11*v**2 + 5*v - 1. Calculate the remainder when a(-10) is divided by (-2 - 0) + (23 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83433 and 27807027.\nAnswer: 194649189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = 7. Let d = -2\/10577 + 6046\/10577. Let -2\/7*s**z + 2\/7*s**2 - 2\/7*s**4 - d*s + 6\/7*s**3 + 0 = 0. What is s?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*i - 5*a, -3*i = 6*a - 2*a - 30. Calculate the lowest common multiple of 8 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39400 by -4.\nAnswer: -9850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1)\/((-14)\/(-14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 74 (b) 2\/9 (c) -2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(1300)*5*-3.\nAnswer: 750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-7\/6)\/((b*b**(4\/11)\/b)\/b*b**2*b))**(-4) assuming b is positive.\nAnswer: b**(1868\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 700896.\nAnswer: 7709856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 46 = 2*k - 0*k, -k + 29 = -2*n. Solve -y - k = -8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1556 + -14135?\nAnswer: -12357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + j**3 - j**3 + (-4 + 5 - 4)*(-4 + 4 - 2*j**3) - 2*j**3 + 4 - 4 - j**2 + j**3 + j**2 as c + s*j**3 + r*j + g*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -0.7, 183, 4.8, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 1257*m**2 - 17549*m\/2.\nAnswer: -m*(m - 2507)*(m - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125108 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*t - 611 - 156 - 1124. Solve -42*h = 65 + t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*z + 4*f, 3*z - z - f - 24 = 0. Suppose 3*h - 12 = -5*t + z, t = -2*h + 29. Solve 0 = -d + 3*j - h, j + 11 + 5 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 111\/(-30) + 1441\/262.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2071 divided by 6629\nAnswer: -2071\/6629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 + 2*c + 3. Let a(w) = -w**2 + w. Let r = 23 + -18. Suppose -3*f - 15 = -0*m + 3*m, 0 = -4*m + r*f + 16. Let b be a(m). What is d(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 5*v + 2. Let s be t(-4). Let m(c) = -c**3 + 4*c + 3. Let b be m(s). What is the derivative of -2*x**3 + 4*x**b - 2 - x**3 wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 4*v = g + 3*g - 116. Let m be v\/3*(-18)\/12. Let b(h) = h**2 - 8*h + 7. Let d be b(9). What is the greatest common factor of d and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.86628 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**6\/160 - y**5\/40 - y**4\/32 + y**2\/2 + y. Let m(l) be the first derivative of a(l). Factor m(p).\nAnswer: -3*p*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-7 + 3 - -3). Suppose -d = -2*q - q. Calculate the highest common factor of q and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111535871 rounded to the nearest 1000000?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.754867mm?\nAnswer: 0.000754867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 835 - 836 - 837 + 2508.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 11*h + 4. List the prime factors of k(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24683 = -1145*v - 15392 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/7)\/(-6))\/((-25)\/175)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19423\/60 - 971\/3. Let z(v) be the second derivative of -3\/10*v**3 + 0 + 0*v**2 + 5*v + q*v**4. Factor z(l).\nAnswer: 3*l*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -32, -59, -96, -143, -200?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 14 = -582*i + 580*i, 4*i - 42 = 3*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -109 (b) -0.15983 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 10 - 2 - 2*q)*(-8 + 4 - 6 + (7 - 5 - 6)*(3 - 2 + 8)) to the form o + n*q and give n.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 791759219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001682 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 20 + 0*y - 1\/2*y**2. Let o(d) be the second derivative of -d**3\/3 - d. Calculate i(o(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1035)\/(-54))\/(-23))\/((1*-5)\/((-10)\/(-30))).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60705\/356136)\/(10\/11).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 8*h**2 - 10*h**2 + 3*h**2 + 3*h**2 + 10*h**2.\nAnswer: -h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5607 and 186.\nAnswer: 347634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8658475.\nAnswer: 5, 7, 49477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4*-5*3*(-7)\/210)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2252509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*z = -2*z - 4, 2*c = 4*z - 6. Let q(i) = -696*i + 11. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -892*g - 81. List the prime factors of m(-12).\nAnswer: 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206140?\nAnswer: 2, 3, 5, 83, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 6, j: 1, h: 1, f: 3, u: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 4*n + 2. Let f be u(4). Suppose k - 5*o = 0, k + 18 = f*k + 4*o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*t - 13, 13 = -4*d - 4*t + 5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 878 + -485. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x. Let v = -12 + 16. Suppose -7*r + v = -3*r. Let s(z) = -z**2 - 1 + 0*z**2 + r. Determine c(s(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2*x + 2*x + 2*x) + 2*x - 4*x + 3*x + 2*x + 0*x - x + 171 - 31*x - 171 to the form w*x + h and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*d + 420, n - 105 = 2*n - d. Let q = n + 149. Calculate the greatest common divisor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 77.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 16*x = -h + 2932, -11707 = -4*h + x. What is the greatest common divisor of 285 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 14. Let r(s) = s**2 + 4*s - 28. Calculate the smallest common multiple of r(4) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -421.\nAnswer: 210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and 0.4.\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3966 = 277*i + 17640 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let i = -57 + 54.1. Let f = v + i. Sort f, -0.5, 1\/10 in decreasing order.\nAnswer: 1\/10, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -14. What is the nearest to 0.1 in -3, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -1483 - 10599. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47\/3 - 15. Let w(i) be the third derivative of 0*i**4 + s*i**3 + 0*i + 0 - 3*i**2 + 1\/20*i**5. What is the first derivative of w(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 8) to base 4\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -55. Let m(v) = v**3 - 8*v**2 + 6*v - 3. Determine m(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 8553?\nAnswer: 854d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10421*k**2*v**2 - 3*k*v**2 - 31*v**2 - v - 2 wrt k?\nAnswer: 20842*k*v**2 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - m + 5. Let h be w(-5). Let p be h\/10*10\/(-3). Suppose -p*q + 45 = -15. What is the remainder when 22 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(25)\/(sqrt(125)*1))**2 + 1 + (sqrt(320) - (sqrt(320)*2 - sqrt(320))*5 - (-1*sqrt(320)*-2)**2) + -1.\nAnswer: -6404\/5 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = r + 13, 4*f + 2*r + 14 = 5*f. Let u(a) = 6 - f*a - 6 + 3*a - 3. Let x be (-6)\/(-4)*(1 - 7). Let o(s) = 2*s + 7. Calculate x*u(k) - 4*o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -16482?\nAnswer: -52\/8241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/5, -4, -412\/3, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0.3 (c) 5640 (d) 2 (e) -1\/2 (f) 2\/7 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1170862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101101000100 - 11?\nAnswer: 10011101101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/10)\/(5 + (-22)\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(5\/(-2)))\/(-1). Let w be (0 - (-9)\/6)*r. Let b(p) = p**3 - 2*p**2 - 3*p + 2. Calculate b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3)\/(-48)*(854\/(-105))\/61\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(66\/33).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 548*x - 6026. Give j(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -498, -3\/2, -5, 6\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1*-8)\/(112\/8).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -133. Let l(v) be the second derivative of 0*v**3 + 0*v**4 + 2*v**2 + 0 - 1\/5*v**o + v. What is the derivative of l(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147088 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446496, 892849, 1339198, 1785543, 2231884, 2678221, 3124554?\nAnswer: 3570883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.0939 + -0.2061. Let i = v - -85. Which is the fourth smallest value? (a) 0 (b) -3\/2 (c) i (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 46*m**2 - 98*m + 7. Let p(i) = -i**2. Determine w(p(d)).\nAnswer: 46*d**4 + 98*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3308919*y**3 - 29*y**2 + 77179?\nAnswer: 19853514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12851 + 3?\nAnswer: 12854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -113799 at most as big as -113795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 + 17 = 0. Suppose -5*m = 5*z - 75, m + 3*z - 7 = c*z. Suppose -m*a = -a - 8770. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**4 + g**3 - g - 2. Let y(m) = -119*m**4 - 2*m**3 + 329*m + 6. Let k(s) = -2*b(s) - y(s). Find the second derivative of k(w) wrt w.\nAnswer: 1476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -307 (b) -0.5 (c) 0 (d) 0.03 (e) -0.2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/((-81)\/(-540)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -3, -2, -4.\nAnswer: -17, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**4 - 1. Let m(a) = a**4. Let v be 2\/(-4)*(-24)\/6. Let g(d) = v*l(d) + 11*m(d). Find the first derivative of g(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10590 and 14?\nAnswer: 74130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a factor of 2792884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 + 30*q**2 + 12 + 640*q - 622*q wrt q?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*t**2*x**3 + 62*t**2 - 2*t*x - 75050*x**3 wrt t?\nAnswer: 38*t*x**3 + 124*t - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -65, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/2 of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (19 + -13) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - o**4 - 1238*o + 1240*o + 0 - 2*o**3 to g*o + l*o**4 + n*o**2 + f*o**3 + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-42) + (-5459)\/1113 - ((-1 - -12) + 43).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, p: 1, k: 3, f: 1}. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1652 and 7489342?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0 + 3 + v - 6*v. Let l(j) = -20*j + 13. Let p(t) = -9*h(t) + 2*l(t). What is p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12674773 or -12674779?\nAnswer: -12674779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529285466?\nAnswer: 2, 17, 74390749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1332525 (base 6) to base 11\nAnswer: 50a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/241 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 218?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from xddxxdxxxxxxxddx.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 74?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -101416*t. Let d(x) = -36*x + 47. What is d(s(l))?\nAnswer: 3650976*l + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 38\/8)*1. Which is the nearest to z? (a) 1\/2 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q + 26. Give s(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x\/x**(-2)))**29\/((x**(-1\/3))**(4\/13)*x**(-1\/7)*x**6*x) assuming x is positive.\nAnswer: x**(-81014\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*7\/(-28))\/((-89)\/(-6497)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p)**(-1\/24)*p**1*(p*p\/p**(2\/3))\/p assuming p is positive.\nAnswer: p**(29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 881248 and 4?\nAnswer: 881248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 3*j + 13*z - 18, -3*j + 21 = 5*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*m - m - 2*l, 1 = l. Suppose 2 = -b + 3*b - 2*y, -b + 2*y = 0. Solve -w + 3*u - 2 = m, b*w + 5*u = 3*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**5\/15 - 2*j**4\/3 - j**3\/9 + 4*j**2\/3 + 7682. Suppose b(c) = 0. What is c?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 11 = 3*x - 2, 2*z - 21 = 5*x for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, -2 - 3 = 5*r + 2*o. Sort 26, r, -7 in decreasing order.\nAnswer: 26, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*f + 4 + 44, 2*o - 123 = f. Let q = o - 37. What is the third derivative of -7*n**4 - 11*n**2 - 5*n**4 + 7*n**4 - q*n**4 wrt n?\nAnswer: -672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13725 is divided by 136.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -47812*k + 4446525. Calculate b(93).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let r(c) = -2064*c**2. Calculate r(b(v)).\nAnswer: -8256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37056552*u**3 - 1145383*u**2 + 15?\nAnswer: -222339312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733062*k = 1733285*k + 6244 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, -129?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 + 0.08. Let v = m + 4.4. Which is the nearest to v? (a) 0.5 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8320 and 37440?\nAnswer: 74880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10037, -9986, -9903, -9788, -9641, -9462, -9251?\n\"Answer: 16*k**2 + 3*k - 10056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*p**2 - 96*p**2 + 33*p**2 + (3*p - 2*p - 2*p)*(4*p - 18 + 18).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 + 7*t**3 + 10*t**3.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -46.3. Sort u, 2\/27, 0.2 in increasing order.\nAnswer: u, 2\/27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 31*d = -28. Let j(l) = -l**2 - 5*l - 8. What is j(d)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*f + 5752, f - 14404 = -5*l + 2*f. Suppose 9*w = 4*w + l. Suppose -j - 2*m = -123, -5*j + 4*m = m - w. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 10*p - 5*w + 8, 4*w - 1449 = -1413 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287081808.\nAnswer: 2, 3, 13, 491, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p**3 + 2*p**2 - 1. Let r be c(1). What is the third derivative of -5*b**2 - 25*b**6 + 5*b**2 + r*b**2 + 33*b**6 wrt b?\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 t when four letters picked without replacement from tttzztzzzntzzfzn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, o: 1}. What is prob of picking 2 m and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/11*1\/(-2). Solve 0*u + 5*w - 10 = -q*u, 5*u + 2*w + 17 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19724 divided by 4?\nAnswer: -4931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 14185, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, t: 6}. What is prob of picking 2 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 112896*q - 1593188352.\nAnswer: -2*(q + 28224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46990 and 1524.\nAnswer: 281940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165423012 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 188*t**2 - 19*t + 161. Let k be i(7). Let u = 12870 + k. What is u rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32201 and 248723001?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 9:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343390 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16643261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 2. Let u(f) = -f**3 - 270 - 272 + 543. Give -s(n) + 2*u(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74294\/27016)\/(11\/200).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465385345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277 + 278. Which is smaller: q or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 174*d + 1382. Give t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = 0, 2*z + 3*n = -29 + 34. Sort 0, 8, z, 3, 6.\nAnswer: z, 0, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 6*j + 91. Let h be (-6)\/(-4)*(-6)\/j*12. Let a(b) = -4*b**2 + 2*b + 1. Let g be a(-1). Sort 1, h, g.\nAnswer: g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - -35. Suppose 5*f = -3*s + 260, -2*f + j = -5*s - 5. Let m = 35 - 20. What is the remainder when f is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 680 + -675. Which is the second smallest value? (a) 23 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -9*z**2 + 0*z + 1\/30*z**7 + 0*z**6 + 1\/60*z**5 + 0*z**4 + 0 + 0*z**3. What is the third derivative of v(l) wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-8*3)\/(4\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 22 = 2*q - 10*j, 4*q = 3*j + 16. Let f(l) = -35*l**2 + l. Give f(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1599*i - 8. Let x(r) = 120*r. What is x(b(c))?\nAnswer: 191880*c - 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - g**2 + 1. Let r(i) = 5*i**3 + 6*i**2 + 7*i - 6. Calculate -6*b(o) - r(o).\nAnswer: o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2671737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*i - 50*i + 24*i)*(7 + 12 - 3).\nAnswer: -1088*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(120)*-1 - sqrt(120) - sqrt(120)) + sqrt(120) + sqrt(120))\/sqrt(4))\/(sqrt(6) + sqrt(72)\/(-3*sqrt(12))).\nAnswer: -3*sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 149*g - 225. Determine z(73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -36. Suppose b + 4*z + c = 4, -2*z - 110 = 4*b. Let h = 59 + b. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -11*y + 7*y, 4*y + 50 = 3*w. Solve 5*j - g + 16 = -1, -w = 5*j - 2*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0 + 0 + (-19*l - 5*l + 2*l)*(6 + 5 - 3) - 2*l - 2 + 2.\nAnswer: -177*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**3 - 6*o**2 - 47*o + 94. What are the prime factors of b(8)?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 2\/7 (c) -1\/11 (d) -17\/5 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k + 2\/3*k**3 + 0 - 1\/24*k**4 + 1\/30*k**5 - 4*k**2 + 1\/120*k**6. Calculate q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38194\/9 + 4238. Is -6 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = 2*v - 2*u, 14*u + 980 = -3*v + 15*u. Let t = -330 - v. Let s(b) be the first derivative of b**2\/2 + 2*b - 3. Calculate s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -w + 0*y - 22 = -4*y, w + y - 3 = 0. Is w - -1*(119 + u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15175 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/47 - -88\/141. Which is the smallest value? (a) -4 (b) q (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2582*i - 173056. Determine u(-67).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384546375.\nAnswer: 5, 19076371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*v + 299 = 239*v - 106 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-20))\/((165\/(-44))\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:32 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5371889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 2471 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 200485700 rounded to the nearest one hundred thousand?\nAnswer: 200500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/(-7) - -3)\/((-3)\/63). Suppose o = 8*r - 6. Solve 0 = r*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k + 13. Let l be v(-5). Let x = 19 + l. Suppose x*r - 128 = 138. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869097761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4225 + 2010. Let n = 2214.9097 + u. What is n rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 77, 3, -92, -4 in increasing order.\nAnswer: -92, -5, -4, 2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41907323 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12903 - -12908. Solve q - 13 = -12, 0 = -z*k - 2*q + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*o - 2*o**2 - 3*o + 2*o**6 - 659*o**5 + 789*o**5 wrt o.\nAnswer: 240*o**3 + 7800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109348*f**2*z - 606*f**2 + 61*f wrt z.\nAnswer: -109348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 15*w + 14*w, 5*w + 12 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 664*l**3 + 42*l**3 - 621 - 17*l**3 wrt l.\nAnswer: 2067*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33649 - -53894. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 0 + 3*d - 13 - d. What is the tens digit of w(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003503677174 to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*z = -41, -f + 0*z = z + 1. What is the smallest common multiple of 46 and f?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 29*f = 28. Suppose 4*d + r - 3 = -17, 0 = -3*d + 4*r - 1. Let u(l) = -2*l - 1. Let s(h) = 2*h + 2. What is d*s(o) + f*u(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a + 280*h - 276*h, 2*a - h = 6. Solve a*b = b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950*u - 88274 - 13767 = 580*u + 21929 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s + 20. Suppose -2*u - h + 2 = 0, 0 = -2*u + 3*h + 6 + s. Differentiate -2 + 6*l**2 - 1 - 2*l**u - 3 wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/64 + 13\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 3. Suppose 0*p = -p. Suppose p = -2*s - 0*s + 6. What is the units digit of t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 2*y**2 - 2*y**2. Let q(g) = 106 - 51 - 55 + 13*g**2. Determine u(q(r)).\nAnswer: 507*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3)*h*h)**(-5)*(h**(-1\/2))**(-6\/7))**22 assuming h is positive.\nAnswer: h**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - s**2 + 3*s - 3. Determine u(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*u - 230 + 60 - 260 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**2 - 4*t**3 + 2*t**3 - 7*t**2 - t - 6*t**3 to the form d + f*t**2 + i*t**3 + h*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 8.8. Let q = -10.4 + b. Let i = 0.6 - q. Put -1\/2, i, -2 in descending order.\nAnswer: i, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**2*u**3 + g**2*u**2 - g**2*u - 113*g*n*u**2 + 97*n*u - 2*u wrt u.\nAnswer: 30*g**2*u + 2*g**2 - 226*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 1.6. Is b at least 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w - 5. Let a be o(4). Let b = -33.9 - -34. Is a >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -92*a - 503. Let h be c(-8). Is h at least 227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 3\/2*m**3 + 3\/4*m**4 - 8*m + 1\/20*m**5 + 7 + 9\/2*m**2. Let x(j) be the first derivative of t(j). Give x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -146, -136, -104, -44, 50?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 0*q**2 - 72 - 1\/5*q**3 + 0*q - 3\/20*q**4. Factor f(a).\nAnswer: -3*a**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*c - 17128 = 919*c + 4517 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 13*b**4\/2 - 189*b + 54. Find the first derivative of y(l) wrt l.\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.531 + 0.031. Let s = -5.5 - r. Which is the second biggest value? (a) 4 (b) 2\/23 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38399 = 2969*c - 56609 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, c: 3}. Give prob of sequence xxx.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6840000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = 3*w, 2*r + r - 2*w = 21. Let k(f) = f**2 - 5*f + 4. Let l be k(r). Suppose 0 = l*o - 3*o - 3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from bwdbwbbdbwwbbdwb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12.8, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let v = 628 + -311. Suppose l = 0, -5*o - q*l = -798 - v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 30, 2 in decreasing order.\nAnswer: 30, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:32 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 12*l. Let w(v) = -v**2 + v. Let y(d) = -i(d) - 2*w(d). Let a(f) = -2*f**2. Give y(a(b)).\nAnswer: 12*b**4 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgllggllgdllgvddl. What is prob of sequence vdg?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124402?\nAnswer: 2, 62201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-281)\/(-20))\/((-16)\/(-192))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020101 (base 3) to base 16.\nAnswer: -937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(342)\/sqrt(2))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 310614 smaller than 310536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -36, -121, -240, -393, -580?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -35, -89, -165, -263, -383?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 773318 by 158.\nAnswer: 386659\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26166 and 2136?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25550394 and 17033596.\nAnswer: 51100788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 39 + 292 + q**2 + 18 + 11 - 303.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 = 41. Suppose d*m = 3*m + 15. Solve m*w + 10 = 2*n, 0 = w + w - 4*n + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from zjt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7991 and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13123 is divided by 651?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.5 plus 4751873345?\nAnswer: 4751873220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*(1*sqrt(200) + -5))**2*-4 + 0)*-4.\nAnswer: -14400*sqrt(2) + 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - 386. Let n = 441 + w. Suppose 2*f + 11 = 5*y - 2*f, 2*f + 6 = 2*y. What is the second biggest value in -0.04, 0.2, y, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, y: 11}. Give prob of picking 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -8.1. Let t = v + 2. Let q = -1.8727 - 0.1273. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 28*i**2 - i + 3. Let u(h) = 136*h**2 - 5*h + 15. Let d(l) = -4*u(l) + 20*x(l). Let o(g) = -344*g. Give o(d(w)).\nAnswer: -5504*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 - 15*u + 8. Let f(x) = 8*x**2 - 15*x + 7. Let j(h) = 3*d(h) - 2*f(h). Factor j(a).\nAnswer: 5*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*((-728)\/(-39))\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 157*w**6\/24 + 254*w**3\/3 - 13*w**2 + 19. What is the first derivative of i(j) wrt j?\nAnswer: 2355*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7437, -14897, -22357, -29817?\n\"Answer: -7460*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1567*d + 171 = -3*r - 1570*d, -5*r - 281 = 4*d. Let z(f) = -3*f**3 - 158*f**2 + 57*f + 216. Give z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7756\/5 - 1542. What is the common denominator of (11 - (-940)\/(-84))*(-35)\/(-6) and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -48. Suppose -m*k - 2*i = -7892, 2*k - 3946 = -30*i + 31*i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0 in descending order.\nAnswer: 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 9*s**2 - 15*s - 6. Let m be h(-7). Let z = -10 + m. Let j = -25\/3 - z. Which is the second biggest value? (a) j (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54226 to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 260*g**3 - 12000*g**2 + 792000*g.\nAnswer: 4*g*(g - 60)**2*(g + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4879524618, 4879524619, 4879524620, 4879524621, 4879524622?\n\"Answer: u + 4879524617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x + 813 + 240 = 61*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1128605516 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229074273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 - 5*s + 5. Let f(a) be the third derivative of a**5\/30 + a**4\/12 - a**3\/3 + 1541*a**2. Determine 2*d(z) + 5*f(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 3, i: 1, h: 2, z: 1, j: 2}. Give prob of sequence iff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.95, 2\/9, 3, -134, 0.12, 0.4 in descending order.\nAnswer: 3, 0.4, 2\/9, 0.12, -4.95, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (27 - -49) - (6 + 6)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1300) - (-1 + sqrt(1300))))**2*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*f + 68, 202*f + 4*g + 16 = 200*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**2 + 340*h - 160.\nAnswer: -4*h + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-1)*71\/1136?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364.31 + 364.31086044. Round m to five decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.3 plus 7?\nAnswer: -53.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -87*w + 90. Let a(r) = -45*r + 43. Determine -9*a(y) + 5*c(y).\nAnswer: -30*y + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 1, x: 4, n: 3, h: 4}. What is prob of picking 1 x and 1 h?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*p - 2986*p = 37349 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1068 and -101\/4272.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5210\/50922 - (6\/(-10))\/(1104\/(-160)) and -79\/60.\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 0.2, -33, -2\/21, 5.\nAnswer: -33, -10, -5, -2\/21, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2*a**6\/3 - 8*a**5 - 22*a**4 + 112*a**3\/3 + 110*a**2 - 200*a - 243. Suppose o(i) = 0. Calculate i.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181 + 3*d**4 + 173 - 50*d + 182 + d**3 - 537 to the form k*d**3 + l*d + u*d**2 + i + q*d**4 and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let s = 649.7 - 650. What is the second biggest value in s, 0.2, t, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 83. Put -3, -4\/5, z, 0.5 in increasing order.\nAnswer: -3, z, -4\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-25)*q**(-2\/19)*q*q\/(q\/((q*q**(-3\/23))\/q))*q*q**24 assuming q is positive.\nAnswer: q**(334\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 - -7. Let y = -0.3 + b. Let m = y - -3.5. Which is bigger: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 - 5*k**4\/12 + k**3 + 17*k**2\/2 - 16*k. Is g(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8662644204 to four dps.\nAnswer: -0.8663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 0.35. Which is the nearest to 0? (a) m (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -556 - -1365. Let l = v - 241. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/16)\/((-33)\/306*-1) and 3\/12 - (-97)\/(-60)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -74*v + 60*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 28 = b. Calculate the greatest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4)*2\/4. Let q(s) be the second derivative of 5*s**4\/3 - 3*s. What is the tens digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 61. Let n(f) = -1244*f**2 - 651. What is p(n(m))?\nAnswer: -1244*m**2 - 590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from bbrbrsbssbbbbbbbbbbb?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ybydyibyipydiiyyb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15451713\/34762 - 2\/17381. Let z = i - 1285\/3. Let o = 1139 + -2359\/2. What is the common denominator of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1*sqrt(117)*2 + sqrt(117))\/(sqrt(81)\/(sqrt(36)\/sqrt(4) + sqrt(9))))**2*1.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k**(-1\/2))**(4\/5) assuming k is positive.\nAnswer: k**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 16 = -h, -4*a = 4*h - 36. Suppose 8*o + 5*z - 10 = 3*o, 2*o + h = -4*z. Calculate the remainder when 21 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255936 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4172 and -243001?\nAnswer: 238829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 - 821\/4. What is the nearest to -1\/4 in -2, -0.1, -3\/5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k - 12. Let c(f) = f - 2. Let l(i) = 2*a(i) - 13*c(i). Let y(d) = -d**2. Calculate l(y(p)).\nAnswer: -9*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/1620 + n**5\/540 - n**3\/6 - n**2. Let h(s) be the first derivative of v(s). Suppose h(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-7)\/(-7))*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 8*u**2 - u + 6. Let z be (0 - 4\/(-3))*-6. Let m be y(z). Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 11. Let k be q(8). Let p be (k + 1)\/(4 - 3). Let r(i) = -5*i**2 + 3. Let t(o) = 4*o**2 - 6*o + 6*o - 2. Calculate p*r(u) - 3*t(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 7*c + 5. Is (0 - 6)*(4 - c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 210630.9 millilitres?\nAnswer: 210.6309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 7. Let x be i(4). Let c be 2 - -7*(x + 5). Suppose 4*y - c = 116. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h - 29 = 0, -3*i + 0*i = h - 4. Let k(p) = -p**3 - 8*p**2 - p - 4. Let b be k(-8). What is the closest to i in b, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59636006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72048596453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -482 + 486. Suppose -12 - 192 = -2*c - v*a, -5*a = 3*c - 310. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190.6 - -190.1. What is the nearest to 39 in -3\/7, 1\/7, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 763*g. Let f(r) = r. Give f(n(b)).\nAnswer: -b**2 + 763*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i - 15691. Give z(923).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**3 + 10956*s**2 + 4384*s = 0. Calculate s.\nAnswer: -2\/5, 0, 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/10 + i**4\/12 + 2*i**3\/3 - i**2\/2 + 4*i. Let w be y(-3). Suppose -2*n = 3*n - w. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-29)*n**(-4))**(7\/4) assuming n is positive.\nAnswer: n**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*t - 40 + 239 = 0, -t = 5*i - 4*i + 40 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5878*z + 103596 wrt z.\nAnswer: 5878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -243, -499, -777, -1089, -1447?\n\"Answer: -2*f**3 + f**2 - 245*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 + 6*h + 9. Let g be u(-6). Let q = g - -74. Suppose -248 - q = -4*i + 3*c, -2*i + 178 = -4*c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(63))**2*4 + sqrt(7) - sqrt(7)).\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-58292)\/(-78)*17\/5. Let a = -2540 + g. Suppose 0 + 4\/15*k + 2\/3*k**3 + a*k**2 = 0. Calculate k.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 12108.\nAnswer: -1\/4036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, x: 5}. What is prob of sequence ixxx?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g = 285*g - 2346 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 108.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 22*p + 5. Let m be o(23). Is 0.1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s**9\/s*s**(-1\/6)\/((s**2*s)\/s))**(-36))**28 assuming s is positive.\nAnswer: s**(-7896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-1)\/(69\/(-6)) + (-3051)\/(-621)). Solve -3 = -k - 5*z, -u*z + 48*z = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-16)\/(-10))*(-145460)\/(-25975)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -3 in descending order.\nAnswer: 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4664*s**2 + 2681*s**2 + 3370*s**2 + (-2*s + 2*s + 2*s)*(-3 + 3 - 2*s) - 5*s**2 + 2*s**2 - 2*s**2 in the form q*s**2 + x + t*s and give q.\nAnswer: 1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 554.671764 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - 536\/(-16). Let n = -18 + q. Find the first derivative of -n*p**2 + 4 + 15*p**2 - p**4 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 6 - (1012\/(-18) - (-14)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 581?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16750\/65739 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(-3*n + 0*n + n) + 0*n - 2*n + 0*n)*(3*n + 2*n - 3*n)*(210*n + 195*n - 420*n).\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 678859 = 3*k - 5*v, 2*v = 2. Let a = k - 119427. Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 2:52 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.433 - 0.357. Let m = n + 1.8345. What is m rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 2086283 and 2.85.\nAnswer: 2086285.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15674807 divided by -6\nAnswer: 15674807\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35560002 by -37119.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*z**4 + 17*z - 35*z + 19*z + (-2*z - z + z)*(-z**3 + 0*z + 0*z).\nAnswer: 48*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 34*w - 10 = 0. Let j be (75\/(-12))\/w*48\/(-12). Let u(p) = 12*p**3 + 4*p**2. Let x(b) = 6*b**3 + 2*b**2. Determine j*x(d) + 3*u(d).\nAnswer: 6*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 963 - 963.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, -19 in descending order.\nAnswer: 3, 2, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/91 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.97559 to two decimal places.\nAnswer: 10.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/6*(-18)\/108)\/((-4)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3665000.27 to the nearest one thousand.\nAnswer: 3665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -43010?\nAnswer: 43011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 - 8 - -10. Put -4, q, 14, 3 in descending order.\nAnswer: 14, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {j: 6, f: 5, r: 2, x: 1, z: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Let y be -3*6\/63*(-49)\/42. What is the closest to -0.1 in y, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n. Let c(a) = -74*a. Calculate c(k(o)).\nAnswer: 370*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 41, 89, 155, 239, 341, 461?\n\"Answer: 9*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132888 times 110\nAnswer: 14617680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) + 300483\/(-1502490). Let w = l - -13841119\/100166. Let g = w + -138. Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.8, 0.4, 1\/27, 14\/25?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 887560 - 304440. What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/551 + 1060\/11571. Let n = 1480 + -19238\/13. Put n, -1\/3, l in decreasing order.\nAnswer: n, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 1. Suppose -285*u + 963 - 2388 = 0. Give j(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -3, 0.32, -5\/31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -3*c - 129, 2 = -2*c. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 3. Let x be y(-7). Find the first derivative of s + 4*s + x + s wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*b - 57 = 0, -41*b = 2*c - 44*b - 35 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 1, w: 2, d: 1, l: 1, f: 1}. What is prob of sequence lw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2. Let a(u) be the first derivative of u**2\/2 - 3. Let g(i) = -4*i. Let r(v) = 5*a(v) + g(v). Determine r(x(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -25*d + 1085. What is the greatest common factor of d and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1992941*1\nAnswer: -1992941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*s + 228*s**3 + 25*s + 27*s.\nAnswer: 228*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, f: 4, c: 2, k: 3}. What is prob of sequence faak?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*v - 144 = 0. Let d be (-11)\/(-3) + (-8)\/v. Suppose -q + 3*w = -26, q + 0*q - d*w - 29 = 0. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyynn. What is prob of picking 1 n and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 55 - 53 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -636614 + -32035?\nAnswer: -1001652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25191 and 45.\nAnswer: 125955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, e: 1, r: 4}. What is prob of picking 2 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*p = -5, 0 = 3*w + 37*p - 34*p. Let x be (-167)\/(-692) + 10\/(-200)*w. Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10*-1)\/((-84)\/1890*-279)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5074, -10175, -15270, -20359, -25442, -30519, -35590?\n\"Answer: 3*y**2 - 5110*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -419 - 30*n + 48*n - 10*n + n**3 + 202*n wrt n?\nAnswer: 3*n**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1956 + 769. Let z = -1191 - d. Suppose -f = -4*f. Put z, f, -11 in descending order.\nAnswer: f, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -3 - (-17)\/(-4). Let c(x) = x**3 + 2*x**2 - 2*x - 2. Let f be c(2). Let v be f\/20 - 3\/(-2). Sort 0.1, v, k in decreasing order.\nAnswer: v, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.965*-0.105777\nAnswer: 0.102074805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 271*k**3 - 17*k**2 + 5*k + 5. Let c(p) = -136*p**3 + 9*p**2 - 3*p - 3. Let j(i) = 5*c(i) + 3*y(i). Find the third derivative of j(q) wrt q.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.84 and 3.\nAnswer: 29.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 7. Calculate i(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26776539?\nAnswer: 3, 2975171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 10. Let p be k(4). Let i(y) = -9 + 1 - 5*y + 0*y**2 + y**2. Let h be i(p). Sort h, -5, 0.5 in ascending order.\nAnswer: -5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 287 - 568 + 280. Let o(l) = -l + 7. Let j be ((-21)\/(-3))\/((-2)\/4). Let p(k) = j*m(k) - 2*o(k). Let f(b) = -3*b**2. Calculate p(f(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -418235*f*g**2 + 3058869*f*g - g**4 - 2*g wrt g?\nAnswer: -836470*f - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2.289\nAnswer: 4.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 3072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.516 to one dp.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/19 + 2268*f\/19 + 4528\/19.\nAnswer: 2*(f + 2)*(f + 1132)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 432 = -2*a. Suppose a*f = 68*f + 36. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 471853275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (4 + (-7 - -26))) + -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8 = d, -2*d + 5*q - 197 = -231 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 0.054?\nAnswer: -1.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504561419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 j when four letters picked without replacement from {f: 3, b: 1, j: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736211121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and (-60 - -67)*(-432)\/(-14).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 421 = 5*x, 3*x + 4*n + 0*n - 270 = 0. Suppose 3*h = 4*i - x, -14*i = -4*h - 11*i - 124. Is -139\/4 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28333069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - c + 2)*(1 - 4 + 2).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047400 rounded to the nearest ten thousand?\nAnswer: 2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 337 = 2*c + 307, c = 3*h. Solve -20*b + 12 = -c*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -584*v + 216 wrt v.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, -102, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*p**2 + 114*p**2 + 7223*p**2.\nAnswer: 8124*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -22\/9 (c) -0.05 (d) 1 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 615390 and 5.\nAnswer: 615390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 10030303?\nAnswer: -10030304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 1. Suppose -2*z = -0*z - 54. Let g = 49 - z. Let u(p) = 358 - 368 + 5*p**2 + 5*p**2. What is g*m(y) - 2*u(y)?\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 14. Let f be p(11). Suppose 4*z - f*g + 4 = 3*z, -3*z + 2*g - 19 = 0. Is -6 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 71124?\nAnswer: -71122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32970000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 90 - (-120 - (-124 - -8)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 14 + 14 - 21*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 41*o - 35. Let u be a(-7). Let x = u + 324. Sort 0, -4, x, -3 in decreasing order.\nAnswer: x, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -12. Let o be (-43)\/(-7)*1 + (-3 - 3). Let x be -8*(-1)\/(-16)*(-1 + 11). Which is the second smallest value? (a) i (b) -0.1 (c) o (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:28 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.5646 times 5\nAnswer: 22.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2136 - (68\/20 - (-4)\/(-10)). Let d be -6 - -5 - (0 + c). Suppose -x - d = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 - 4*y + 7. What are the prime factors of h(3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v - 3. Let k be h(2). Suppose 4*r - k*r - 7 = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(1\/5))\/o))**7 assuming o is positive.\nAnswer: o**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 625 + -616. Suppose -l*g = 25*g + 97104000. Round g to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 68. Let i = 0 - -1\/5. What is the closest to d in 1, i, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1*q)**(1\/2))**17 assuming q is positive.\nAnswer: q**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 9*z**2 - 8*z + 5. Let b be k(8). Suppose b*j = 3 + 17. Let o = -45.96 - -46. Put o, 0.2, j in decreasing order.\nAnswer: j, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7540.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddiddiiddiid. Give prob of sequence idid.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1226375865.999489 + 1226375275. Let i = k - -591. Round i to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*u + 1118. Suppose -3*l - 4*l = -u. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1882 - -5618. Let b = -555 + s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -t - 6*o + 5*o, -t - 2*o + 50 = 0. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {k: 3, d: 3, o: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437775 and 186225?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -17. Let i = z + 8. Let r(k) = 2*k**2 - 4*k + i*k + 0*k**2. Let d(o) = o**2. Give r(d(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1) + -9 - 492\/164. Let b(w) = -2*w**2 + 7*w - 6. Let r be b(4). Let x be (-4 - -2)*(-1)\/r. What is the second smallest value in -5, 0.2, c, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a + 2. Let w(b) = 389*b. What is w(y(l))?\nAnswer: -2723*l + 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810242914 divided by 3?\nAnswer: 936747638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5460.631ml to litres.\nAnswer: 5.460631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278299?\nAnswer: 7, 83, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17716*q**3 + 18774*q + 2 wrt q?\nAnswer: 106296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, -5 in ascending order.\nAnswer: -28, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351360399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-42) + 12400\/336 + -15. What is the greatest common factor of p and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(196)*4)\/sqrt(7)*6)\/((sqrt(1960)*-2)\/(sqrt(50)\/(sqrt(5)*-2))))**2.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4*c + 2 + 1\/2*c**2. Let j be u(3). Solve -j*q = -2*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15673 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n + 96. Let x(l) = -4*l + 16. Let o(a) = -6*h(a) + 34*x(a). Let w be o(-9). Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {c: 1, l: 3, u: 1, k: 1, d: 3, j: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 1\/3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 20 = 1. Is 4 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:48 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(40) + sqrt(120)\/sqrt(3)))\/(3*sqrt(128)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.0095 - 0.1425. Let t = 0.152 + f. Which is the fourth biggest value? (a) t (b) 3\/5 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.3, -8, -3, -15 in descending order.\nAnswer: 2\/15, -0.3, -3, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 1. Let s be m(1). Suppose -5*l = s*u + 3072 + 562, l + 710 = -5*u. What is l rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -812, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 7 + 39574331*m**2 - 39574331*m**2 - 4*m + 9*m**3 - 7.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-20))\/1*((-171)\/76)\/(-9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 64*l - 5.\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 64 = -14*x. Calculate the remainder when 58 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -25*j. Let r(l) = -38*l**2 - 6*l - 4. Calculate n(r(s)).\nAnswer: 950*s**2 + 150*s + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20411874 is divided by 10205927?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chrhsuurjjcuuu. What is prob of picking 1 j, 2 h, and 1 c?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 25*z**2 + 24*z + 2. Let y be i(24). Let l(w) = -y*w + 5*w + 4 - 6 + 7. Let k be l(0). Calculate the highest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*q = 2*q, 15 = -4*f - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*i = -0*l - 333, -l + 85 = i. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13002319333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75796 is divided by 824?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-24)\/(-15))*16. Suppose 3*o - t = -2*o. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - k = -52 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 15272*l - 199212.\nAnswer: 4*(l - 13)*(l + 3831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 61133632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/9, 2\/69953, -0.5 in ascending order.\nAnswer: -22\/9, -0.5, 2\/69953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*c - 23 = 0, 2*c - 7*c = -2*j - 17. Solve q - j = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/19 + 34\/19*a - 2\/19*a**5 - 16\/19*a**4 - 4\/19*a**2 - 32\/19*a**3 = 0. What is a?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 1001?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.5 and 17.\nAnswer: -1045.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121209 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15159729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/270?\nAnswer: -1\/270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-5 - (-3 - 3)). Solve -4*x - 2*v + 2 = 0, -5 = -x + m*v - 2*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 21*v - 3*d + 703481, 2*v - 703488 = -2*d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 13951.\nAnswer: -23\/13951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 349b7 - -173?\nAnswer: 34b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 611*x - 615*x + 21 = 0, -188*z = -204*z - 3*x - 403 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3 + 3)*(-5*y + 5*y + y)*(30*y**2 + 6 - 6).\nAnswer: -60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l + 117. Let i be x(0). Suppose -5*w = -2*w - i. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b + 33. Calculate a(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5107450.95 milliseconds?\nAnswer: 0.008444859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35610.68ml to litres.\nAnswer: 35.61068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6184, -24621, -55326, -98299, -153540, -221049, -300826?\nAnswer: -392871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4719787979 from -3.\nAnswer: 4719787976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 31311210?\nAnswer: -31311155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282453545*t**3 - 564907100*t**3 + 282453554*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -94\/3, 0.54, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-330)\/80)\/(-33))\/((-3)\/(-108)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(1 + 0). Suppose -2*m - q - l = 0, 5*q = 2*m + 3*m - 35. Suppose 10 = -5*a, 3*z - 2*a = -4*a + 5. Solve -5 = m*s - z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19048\/85797 + -2\/9533. Let i = 2.06 + -0.06. Which is the biggest value? (a) r (b) -0.2 (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:50 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -5, 40, 0, 17\/4 in descending order.\nAnswer: 40, 17\/4, 0.9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 8510566. Let h(o) = -5*o. Determine h(m(u)).\nAnswer: -15*u + 42552830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d3 (base 15) in base 12?\nAnswer: 11a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23561*t**5 - 51441*t?\nAnswer: -471220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1273561 and 2.\nAnswer: 2547122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 11*m**2 - 3*m - 8. Calculate the remainder when k(-11) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2 - 7 + 2 + 21*u**2.\nAnswer: 5*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 1. Let z(r) = 3*r**3 - 17*r**2 + 5*r - 2. Let j(d) = 5*d**3 - 26*d**2 + 8*d - 4. Let v(b) = -7*j(b) + 11*z(b). Determine 5*a(i) - v(i).\nAnswer: 2*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5350 and 40350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 - (-5 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10293*r + 211049 - 197295 = -819979 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 861408.8 tonnes?\nAnswer: 861408800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -4, 3, -2\/11, 164\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 227 = -2*o, -m + 3*m + 5*o = 114. Does 19 divide -4 - (-1 - 2 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-6)*-4*1\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (-35)\/(-3))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-41) + (-1339392)\/(-15744).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 2. Let j = z + 5. Suppose -o = j*k - 16, 3*k - 42 = 4*o - 16. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1351*i**2 - 683*i - 10. Let w(j) = j + 2. Let n(h) = s(h) + 5*w(h). What is the second derivative of n(t) wrt t?\nAnswer: -2702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401 - 135. What are the prime factors of u?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -2)*(-5 + 6). Let g(t) = 1 - w*t - 28 - 6 + 6. What is the remainder when 27 is divided by g(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyaoyhdd. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309496 and 3256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 87650768174474?\nAnswer: -87650768174463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.3, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/11 + 174*s**3\/11 - 16*s**2 = 0?\nAnswer: -88, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -40 + 4 + -17 + -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15 - 10. What is the smallest value in -1\/2, 2\/13, -2\/11, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 107641758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/3 + (-88)\/(-132) + 4. Sort 9, 0.09, x, -4\/9.\nAnswer: -4\/9, x, 0.09, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n. Let c(k) = 26*k. Let j(b) = -8*b. Let s(d) = 3*c(d) + 10*j(d). Determine s(q(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-127)\/(-254)*(1 + -5 - (-6460)\/1610)\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 - 181. Let l(j) = -3*j + 88. Let y be l(h). Let v(d) = 8*d. Let x(o) = 1. Let t(g) = -v(g) + 5*x(g). Let k(i) = 7*i - 4. Give y*t(u) + 5*k(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 3980*i**3 - 31672839*i**2\/2 - 31684780*i - 63377521\/4.\nAnswer: -(i - 7961)**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.079 (b) 1\/2 (c) -3\/11 (d) 2\/9 (e) -4 (f) -26 (g) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/(232\/24)*(1 + 188332\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 16. Let r be n(-7). Let l = r + 14. Solve 3*q - l = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, -0.3, 3.18, 4 in decreasing order.\nAnswer: 24, 4, 3.18, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/201 (b) -0.5 (c) -1\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 50 = 3*u. Suppose -h - u = -9. Solve 3*j + 12 = -d, -d - j - h = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*f*j**4*r + 2*f*j*r - 4*f*r + 90*f - 16052*j**4 - j*r + 66*j + 2 wrt j?\nAnswer: -3084*f*j**2*r - 192624*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 13. What is the first derivative of -w*d**4 + 4 + 10 - 6 + 11 + d wrt d?\nAnswer: -84*d**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7314 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -489369.6 and -0.006.\nAnswer: 2936.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(178\/445)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852, 818, 770, 708, 632, 542, 438?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15159 and 93.\nAnswer: 15159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724.6338m to nanometers.\nAnswer: 724633800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 14993 = 10*y + 5*h, -3*y + 15049 = 2*h. Is y a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 11. Let k be u(-8). What is the remainder when (1\/3)\/(k\/387) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**2 - n - 7. Let h be g(4). Suppose -3*j = 2*x - h, 4*j + 100 = -4*x + 404. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by 95?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(6\/13)*b**(-1))**(-14\/3) assuming b is positive.\nAnswer: b**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from {m: 7, o: 6, d: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -643.094 and -4?\nAnswer: 2572.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2)\/4*-16. Suppose 28 = 5*z + a. Find the third derivative of -h**4 + 5*h**2 - h**z - 3*h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 190*f**2 - 4610*f - 179. Calculate g(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)\/w)**2\/((((w**(-21)*w)\/w)\/w*w)\/(w*(w\/(w\/(w\/(w*w**(-28)))))\/w)) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886900615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*1*(-30)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -135. Suppose -3*y + 0*y - 5*l = -t, -2*l = -4. Suppose 0 = -2*z - z + 36. What is the remainder when y is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67093023243 minus 654?\nAnswer: -67093023897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 114*m**3 - 43*m**3 - 42*m**3.\nAnswer: -199*m**3 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10899108 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 743 (base 8) to base 13\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-4))\/(2457\/(-33696)))\/(2\/(-21)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*(30\/36)\/((-10)\/6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-74)\/(-5) + (-3)\/(-15). Suppose u + 1 = h. Let a = -78 + 103. What is the remainder when a is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/17, 1\/5, 1.394, -0.1, -4\/3?\nAnswer: 1.394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3062*y + 14414. Determine r(5).\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*t + 33. Suppose 2*u = -2*s + 6*s - 720, -3*u - 2*s - 1096 = 0. Let c be (-20)\/30 - u\/6. Calculate the highest common divisor of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 0 - ((-2 - -2) + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4215995\/36 - 117110. Calculate the common denominator of 14\/40*46\/24 and g.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6906 rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786 = 283*i - 277*i. Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112183420 divided by 4877540?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 168 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5205726 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34841022 + -1580.2\nAnswer: -34842602.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o**2 - 43*o - 8. Let g(j) = -31*j. Give g(d(s)).\nAnswer: 434*s**2 + 1333*s + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i - 50. Let a(l) = 13*l - 76. Let x(d) = 5*a(d) - 7*g(d). Let c(m) = -4*m. Determine c(x(q)).\nAnswer: -8*q + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3652*z = -3873*z - 3094 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4 - (-1 + 0)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -67. Let a(w) be the third derivative of -w**5\/4 + w**4\/3 + 2*w**2 + 42*w. Let l(b) = b**2 - b. Calculate n*l(g) - a(g).\nAnswer: 9*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6*b**2 + 6*b + 9. Determine y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/270 + m**4\/108 + 6*m**2. Factor h(g).\nAnswer: -2*g*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -10*i**3 - 13*i**2 + 25. What is the second derivative of k(c) wrt c?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 5) in base 16?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 d when three letters picked without replacement from {y: 5, w: 2, x: 1, d: 3, j: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*a = 2073*a + 3*c - 51, 5*c - 33 = -4*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 40, 43, 46, 49?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095.56 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*j = 1864, 1401 = -4*y + y - 3*j. Let i = 1265 + y. Suppose -8*f = -280 - i. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6537167.3 rounded to the nearest 1000?\nAnswer: 6537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 76 + 8*d**2 - 76. Let a(t) = 5*t. Calculate v(a(o)).\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/6 + 15*k**4\/2 + 81*k**3 - 486*k**2 - 8748*k.\nAnswer: k*(k - 9)*(k + 18)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 50 = 56. Let z be x\/((-20)\/235)*1*2. Is z less than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*u = 15, 5*b + 3*u = 168 - 9. Solve 5*s + z = -z + 35, -5*z = s - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:16 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -109757, -109781, -109815, -109865, -109937, -110037, -110171?\n\"Answer: -n**3 + n**2 - 20*n - 109737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 4 (c) -1 (d) -4\/5 (e) 3 (f) 12\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 637356 - -6?\nAnswer: 637360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n - 18*n + 8*n. Let l(y) = 9*y**2. Determine l(j(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 232\/(-174)*(-11)\/(-2) - -10\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-12283)\/2130 + (1 - (-11)\/(-10)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnynyd. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) -1\/5 (c) 4 (d) 0.0477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/((6 - 11)\/(-5)). Suppose p = 5*g + g - 828. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i + 8*i - 71*i)*(-i**2 - 3*i**2 + 6*i**2 - 3*i**3) to the form u + g*i**4 + j*i + s*i**2 + a*i**3 and give a.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) 4 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let q = 0.3 - f. Let t = 452 - 453. Sort 1\/2, q, 1\/8, t in descending order.\nAnswer: 1\/2, q, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(6\/(-2))\/(-4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**4\/4 + 15*g**3 + 225*g**2\/2 + 375*g + 91. Factor k(j).\nAnswer: 3*(j + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291 + 19787\/68. Let c = 129\/476 - m. What is the nearest to 1 in 3, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 7 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((144\/10)\/3)\/(4\/120). Suppose -12*h = -3*h + l. Put -3, -1, h in descending order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -354, 2, -6, -8 in descending order.\nAnswer: 2, -3, -6, -8, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6\/19, -4.3, -2\/9, -3, -2\/7 in decreasing order.\nAnswer: 3, -2\/9, -2\/7, -6\/19, -3, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473096 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 156?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.57 (b) -0.3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 2 + 17*f + 25*f + 0. Let o(d) = -d**2. Give n(o(i)).\nAnswer: -40*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 5 (c) 447010\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 + z**2\/2 - 6. Suppose w(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663 - -665. What is the third derivative of -87*l**4 - 36*l**k - 77*l + 182*l**2 + 77*l wrt l?\nAnswer: -2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137689246?\nAnswer: 2, 2459, 27997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*m = 16, -2*s + 7*m = 3*m + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.6 + 51.6. Let q = 105\/8 + -13. What is the nearest to 0 in b, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17780*l**3*m**3 - 6*l**3*m**2 - 2*l**2*m**3 - 40024*l*m**3 wrt l?\nAnswer: -106680*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-1)\/2). Suppose q = 2*g - 7. Suppose -j + 314 = 4*y, g*j - j = -6. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**(-6\/11)*v)**(-27)\/((v**(2\/5)*v**1*v)\/(v**(-4\/9)\/(v\/v**(-6)))) assuming v is positive.\nAnswer: v**(15782\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*x + 100. Let t = -40 + x. Let a be ((-8)\/10)\/(t\/(-27137500)). Round a to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104596 + -52403. Is u a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2*j**6\/15 - j**2 + 3*j - 3. Let x(z) be the first derivative of i(z). Differentiate x(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 10*l**2 + 11*l**2)*(21*l + 12*l**2 - 21*l)*(3 - 12 - 2).\nAnswer: -2640*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -76. Let l = 6.1 + -6. Which is the smallest value? (a) v (b) 0 (c) l (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2191*x - 17704 = -346*x + 368*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/4)\/(11\/(-4)). Let x = 61\/44 + r. What is the closest to x in 2, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**4 + 104*w**3 - 32*w - 216047.\nAnswer: -4*w**3 + 312*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*g = -8*g + 12, 0 = 5*r + 4*g + 11. Let t(y) = y**3 + 3*y**2 - 3*y - 5. Let o be t(r). Solve 0*a + 4 = -o*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 1006, 994, 978, 958, 934?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 5*j - 6*j - 7*j**3 + 5*j**2 - 2 - 8*j**2. Let w be h(-1). Solve -4*o = w*i - 11, -2*i + 5 = 3*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y**2. Let t(q) be the first derivative of 4*q**3\/3 - 94. Determine t(k(z)).\nAnswer: 784*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265845 and 1762375.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1095 + 1098. Let u(i) be the first derivative of -2\/17*i + 1\/17*i**4 - 2\/17*i**2 + 8 + 2\/85*i**5 + 0*i**h. Factor u(d).\nAnswer: 2*(d - 1)*(d + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 23*s**3 + 8*s**2 + 5*s - 5. List the prime factors of v(6).\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 18. Let x = k - 20. Solve x*i - 6*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b*b**(3\/8))*b)\/b)\/b**12*(b\/(b\/((b*b*b*b**(-1\/7)\/b*b*b)\/b*b)))**38)**(-25))**(3\/2) assuming b is positive.\nAnswer: b**(-559425\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(768)*-1 - sqrt(768))\/(-1*sqrt(96) - sqrt(96) - sqrt(96) - -4*(sqrt(6) - sqrt(24)\/sqrt(4))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 22*b**2 + 170*b + 59. Let h be o(-28). Let x(p) = -p**2 + 2. Let z be x(-2). Let i be ((-5)\/z)\/(4\/8). Solve h + 17 = -i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 9713?\nAnswer: -93\/9713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 900*w**4 + 37725*w**3 + 248350*w**2 + 511500*w + 345960.\nAnswer: 5*(w - 93)**2*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, u: 2, z: 2, g: 2, e: 1, s: 2}. What is prob of picking 1 z, 1 g, and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 104196*l - 63*l**2 - 216*l**2 - 104198*l.\nAnswer: -270*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/45 - (-1 - 19\/(-10)) and -91\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38.4 in 1, -3\/4, -84, -0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12174 is divided by 238.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91024114 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: Simplify -4*(-6*(-4 + 0 + sqrt(1584) + 5 + -2))**2.\nAnswer: -228240 + 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: d1 (base 16) to base 11\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**6\/3 - 68*j**5\/5 + 115*j**4\/2 + 100*j**3 + 2964. Find a, given that c(a) = 0.\nAnswer: -1, 0, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-5154)\/(-36) + 2\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(-b**4 - b**2 + b**2 + (4 - 4 - 2*b**3)*(-4*b + b + 4*b) + 8*b**4 + 0*b**4 + 2*b**4) as x*b**3 + j*b**4 + s*b + i + v*b**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:56 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6032262 (base 7) to base 2\nAnswer: 10101110010011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:23 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 12*q + 5, 0 = -4*h - 5*q + 467. Let f = 152 - h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1157408 and 104.\nAnswer: 15046304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 235?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4810 - 3.269\nAnswer: -4813.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 - 4*p - 5. Let w(u) be the first derivative of u**2\/2 + u - 19. Calculate h(c) + 4*w(c).\nAnswer: -7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3166747, 6333497, 9500259, 12667039, 15833843, 19000677, 22167547, 25334459?\nAnswer: 28501419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/15 (b) -3 (c) 14\/3 (d) -1\/5 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131692*q**3*s**3 - 62*q**3*s**2 - 4*q**3*s + 5039*q**2 - 14063*s**3 wrt q.\nAnswer: 790152*s**3 - 372*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50444?\nAnswer: 2, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4460 and -15\/28.\nAnswer: 31220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(104) - 1*sqrt(104))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 152*-0.051\nAnswer: -7.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {w: 5, m: 2, c: 8, l: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 116650 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -56, -768?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose -y - y = -k. Is (-4802)\/(-154) + y\/(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1)*v)\/v)\/v)**23)**(-21) assuming v is positive.\nAnswer: v**966","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*d - 3*z, 2*d - 2*z - 5 - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16729*l + 2860583. Determine j(171).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 2511*h + 2511*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13714211.\nAnswer: 7, 1959173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/20 + 422*l**3\/5 - 267126*l**2\/5 - 1250*l. Find i such that j(i) = 0.\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -0*h + 4*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 2*k**2 - 1\/8*k**4 + 0 + 0*k + 1\/40*k**6 - 1\/2*k**3 + 1\/20*k**5. Factor m(i).\nAnswer: 3*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 306 - 16*q**2 - 132 - 57 - 59.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.027? (a) -6\/5 (b) 0.3 (c) 0.4 (d) 2 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 - 633*a**2 + 22 + 40 in the form v + u*a**2 + b*a and give u.\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-3)\/48). Let q be (-6 - j) + (2 - 1). Solve 0*w - w - 5*v = 23, 5*v + 29 = -q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + s**2 - 33*s**3 + 0*s**2 + 42*s**3 - 4*s**2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243 + 234. Let n be (-16)\/24*1\/(2\/b). Solve -2*t - 5*w = -5*t + 20, 3*t + n*w + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 0*u + u)*(21670 - 21670 + 547*u) - 6*u - 9*u**2 + 6*u in the form i + x*u + r*u**2 and give r.\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 2*d**2 + 8*d**2 + 443 - 443 + d**3.\nAnswer: d**3 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(9)\/sqrt(3) + sqrt(3) + -3 + ((sqrt(72)\/sqrt(3))\/sqrt(2))\/sqrt(4))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 802 + 1063. Suppose -5*a + 487 = -t. Suppose 0 = -7*x + 11*x - a. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -349*a - 9. Let j(p) = 13*p**2. Determine j(v(g)).\nAnswer: 1583413*g**2 + 81666*g + 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 982872.4mm?\nAnswer: 982872400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/12 - 4*a**2. Let j(v) = 2*v**2. Suppose o - 18 = -3*u + 4*o, 3*u - 4*o = 17. Let k(l) = u*j(l) - 3*y(l). Factor k(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 0 - -2) + -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5057 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.255 to 1 dp.\nAnswer: 38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/2 + 10*r**2 + 25*r. What are the prime factors of u(8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 25ad?\nAnswer: -25ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, k: 3, j: 1, r: 5, i: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(3\/48)\/(-1)*1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2 - 1)*0)\/(-2). Suppose r = 2*c + c - 81. Suppose -3 - c = -z. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 599034062 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2840372.\nAnswer: 2, 179, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-124 - 106 - 1211*r + 229) in the form d + j*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Let o = 2.26 + -2.06. Let d be (2 - 0)\/(10\/3). Put d, m, o in decreasing order.\nAnswer: m, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by 390?\nAnswer: 137\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 6*v**2 - 4. Let i be h(-5). Solve 2*m - o + i = -2*m, -3*o = -2*m - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 357918050.35 - 2357592.35. Let r = 355560460.00000027 - v. Let t = r - 2. What is t rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/120 - c**5\/15 + 19*c**4\/12 - 6*c. Let q(d) be the third derivative of y(d). What is the tens digit of q(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35009617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d6 (base 14) to base 7.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:26 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-145)\/7 + 2\/(-7). Let o = -16 - x. Solve -16 = -4*n + h, 2 = o*n - 5*h - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -54. Let n(u) = 3*u - 1. Give n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200221002 (base 3) to base 10.\nAnswer: 151580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3 + (-5 + 1 + 2)*(-3 + 0 + 1) + 2 - 1 + 0)*(0 + 2 - 1)*(9 + 7*n - 9) to k*n + y and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:48 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*280\/(-196)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 336603844*i + 28325536948894084 = 0 for i.\nAnswer: 168301922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 22*d + 91. Let b be z(17). Solve s - b*s + 5*a + 15 = 0, 0 = -3*s - 3*a + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 - 25*t - 30 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (1 - (-20)\/(-2)). Suppose 0*v + 5*n + 10 = -4*v, 0 = 4*n + 8. Let i = v - q. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 - -4771723136095.\nAnswer: 4771723136045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003227639 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 36*c + 68.\nAnswer: (c + 2)*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:03 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m**2 - 5 + 5)*(-6*m + 5*m + 6*m) + (-4*m + 4*m + 2*m**2)*(-m + 0*m + 2*m) + 4*m**3 + m**3 - 3*m**3)*(134*m + 3815 - 3815).\nAnswer: -804*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 1. Let x be g(0). Suppose -3*a - x = -4, -2*u = 2*a - 4. Let w(d) = -d + 8. Let h be w(4). Sort u, h, 3 in ascending order.\nAnswer: u, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/15 - r**4\/24 - r**3\/6 - 675*r**2. Let p(d) = -7*d**2 - 2*d - 2. What is -11*f(c) + 6*p(c)?\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 43\/108, 0.1, -4 in descending order.\nAnswer: 43\/108, 0.1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154080 equal to 1153988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1872) - (sqrt(1872) + 1))*5 + 4)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2615293.9 or -1\/2?\nAnswer: 2615293.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 1, m: 3, z: 2, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-228 - 97 + 600)*(3 - 3 + 2)*(-2*h + 4 - 4)*(-2*h**2 + 7*h**2 - 3*h**2) to the form u*h**3 + l + k*h + g*h**2 and give u.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -48. Let f = m - 58. What is the greatest common divisor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 11 = 5*q, -p - 4*q + 6*q = 0. Suppose 0 = -4*c - 7 - 1, -5*h - 4*c + 7 = 0. Calculate the remainder when 26 - (3 + p) - h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13052143 and -1.\nAnswer: -13052144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 917 + -496. Does 100 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, 6730, 18174, 34206, 54832, 80058, 109890, 144334?\n\"Answer: c**3 + 2285*c**2 - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1270*s**2 + 5*s + 29. Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169461*i**4*s**3 + 31*s**3 - 32060 wrt i.\nAnswer: -677844*i**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28713062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4062812*u**2 - 8125626*u**2 - 1 + 1 + 4062819*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q - 1. What is c(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4 and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150748, -150228, -149318, -147982, -146184, -143888?\nAnswer: -141058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 0*w + w + (-4 + 0 + 0)*(0*w + 4*w - 2*w))*(-64*w + 104 - 104) + (-3*w + w + 0*w)*(-3 + 2*w + 3) to t*w + p*w**2 + l and give p.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 2. Suppose -f + 13 = 2*l, -2*f + 22 = -3*f + 5*l. Solve f*o = v*b + 16, 0 = o - 0*b + 3*b + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from ooooooaoao?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29.33 or -6\/7?\nAnswer: 29.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46034009 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5) + 5 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5521504850 rounded to the nearest 1000000?\nAnswer: 5522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -39.\nAnswer: -61\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.7 + 9.5. What is the second biggest value in o, -5, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 57, 59, 63, 69?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12667 - -14203. What is the remainder when t is divided by 761?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**3\/3 + 10*b**2 - 9*b. Let k be p(4). Suppose k = -j + l + 119, 2*l = -j + 118. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5855 - -5855. Suppose -40 = 5*r + 5*z, -13 - 8 = 2*r + 3*z. What is the third smallest value in -2, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 + 5 = 2*s, -3*s + 12 = 3*t. Suppose 5*a = 2*d - 21, -a + 1 = 5*d + 16. Put t, a, 0 in increasing order.\nAnswer: a, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576259, 576377, 576495, 576613?\nAnswer: 576731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 bigger than -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85820441 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -33*j + 6. Suppose 3*d - j = 57. What is the second derivative of -8 + 17 - 9 + d*m - 15*m**3 wrt m?\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3290 and 308350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 4*j - 5 = 0, 0 = -2*p + j - 2. Let a be (p + 0)\/((-6)\/30). Suppose -a*v + 23 = -77. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321075?\nAnswer: 3, 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i + 157 = 72*i - 47*i. Let g = 7 - 15. Let y = -2 + g. What is the nearest to 0 in i, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6047 + -6046. What is the closest to m in 16.4, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*n = -10, -4*n + 3 = 4*g - 5. Solve 0 = 2*s - 2*i - 5 - 9, -2*s = -g*i - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-792)*(-66)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 + 864 = 100*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1358313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116775266 (base 8) to base 5.\nAnswer: -20300124042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -123?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 15103*r - 151005\/2.\nAnswer: -(r + 5)*(r + 30201)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 (base 10) in base 5?\nAnswer: -4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + b643?\nAnswer: b64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 - 2 + r**2 + 0*r**3 + 2. What is the remainder when 25 is divided by a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -105, -121, -149, -189, -241, -305, -381?\n\"Answer: -6*w**2 + 2*w - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1)\/((-6)\/(-42)). Suppose u*k - 6*s = -5*s + 35, -2*s - 7 = -k. Is 11 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/1120*16)\/(8\/(-6))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10459641, 20919283, 31378925?\nAnswer: 41838567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {t: 5, f: 1, d: 1, j: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 26*f**2 - 48*f + 1. Let q be s(-24). Let l be 2 - (0 - (4 - 2)). Suppose 2*g = 4*g + l. Put -3, g, q in decreasing order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/21060 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 9:38 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*y + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4.3, 31.9, -146 in descending order.\nAnswer: 31.9, 4.3, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127 = -176664*u + 176615*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 1. Let d be r(-1). Suppose -5*q + 5*z = -5, -d*z = q - 2*z - 21. What is the greatest common divisor of q and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 4*w - 4. Let k be f(2). Sort k, -2, 3 in increasing order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 89 = -2 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -281727.906 to the nearest 100.\nAnswer: -281700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0 + 3\/2*o**6 + 0*o**5 + 0*o**3 - 45*o + 0*o**4 + 5\/2*o**2. Differentiate j(p) with respect to p.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15213*x - 7602*x - 3509 - 5427 - 7608*x + 926 + (-2 + 2*x + 2)*(2 - 1 - 3).\nAnswer: -x - 8010","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086770909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-11\/8))**42\/(((v*v**(4\/11))\/v)\/((v*v**(-7\/5))\/v))**42 assuming v is positive.\nAnswer: v**(-4074\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2. Let k(u) = -356*u**2 - 399*u**2 + 787*u**2. Give k(x(c)).\nAnswer: 6272*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.228 - -586.328. Let m = 543 - b. What is m rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23982*o**5 + 4*o**4 + 10*o**3 + 18*o - 34039 wrt o.\nAnswer: 479640*o**3 + 48*o**2 + 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 63581 (c) -0.4 (d) -36\/23 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -27*s + 4. Let x be a(14). Let k = -351 - x. Calculate the highest common factor of 161 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 272\/(-204)*((-55)\/(-2) + -2). Is 0 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.6 - 12.1. Sort 146, -0.4, p in decreasing order.\nAnswer: 146, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)\/(d*d**(-3)))**(-5\/7)\/((d\/(d*d\/d**2))**(-35))**(2\/27) assuming d is positive.\nAnswer: d**(145\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12177 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/3)*i\/i**6)**(7\/8))**30 assuming i is positive.\nAnswer: i**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:07 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(((-108)\/52)\/(-27))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/7))\/(-23)*-56*(-82)\/32144?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44244, -44245, -44246, -44247?\n\"Answer: -t - 44243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.032 + 0.93. Let v = q - 0.398. Which is smaller: v or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*y - 385*y + 4*y**2 - 5*y**2 + 553*y.\nAnswer: -y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-236)\/(-22))\/((-4090)\/22495)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(160\/(-90))*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -1231, -1846, -2461, -3076?\nAnswer: -3691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 (base 7) in base 8?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ghshsshgsssgusssgs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*o - 252*o - 16*o - 675*o.\nAnswer: -1413*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 819929739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436 + 23. What is the greatest common divisor of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - 4*z**3 + 2*z + z**3 + 4*z**2 - 4*z**2 + 4 - z**3 - 4 + (4*z**2 + 2*z**2 - 4*z**2)*(-2*z + z + 2*z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 46*d + 1. Let b be a(1). Let v be -1 + (-3)\/((-3)\/b). What is the second derivative of -46 + 6*s**2 + v - 5*s wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 3*z**2 - 5*z + 4. Calculate the remainder when 107 is divided by q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4*u + 41730*o**2*u**2 + 18151*u**2 - 4 wrt o?\nAnswer: 8*o**3*u + 83460*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**26*c**(4\/3)\/c*(c**(9\/4)*c)\/(c\/c**(-18)) assuming c is positive.\nAnswer: c**(127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822*j - 1639*j + 615*j.\nAnswer: -3846*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -6) + -52 + 55\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {b: 1, v: 12}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/20*5\/(-15))\/(8\/(-140))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6321130)\/(-4615) - 4\/(-13).\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-82713)\/(-7268)) + (-49)\/28.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10264*m**2*p**2 + 2*m**2*p - 5*m + 7*p wrt p.\nAnswer: 20528*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhhfhfhhh. What is prob of picking 1 f and 2 h?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -798288*g**3*s - 137*g**2 - 158398289*s wrt g?\nAnswer: -2394864*g**2*s - 274*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 34. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzmppcumpppppmtm. Give prob of sequence pc.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466595*k**4 - k**3 + k - 17671?\nAnswer: -5599140*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(704) + -2) - (sqrt(704) + sqrt(704) + -1 + 2))**2*6.\nAnswer: -1152*sqrt(11) + 67638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3\/2 - 176105*x**2\/2 + 758187180*x + 303442477830 = 0.\nAnswer: -383, 17802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d - 12. Let b(l) be the second derivative of l**4\/12 - 5*l**3\/6 - 13*l**2\/2 - l - 26. List the prime factors of b(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - -3 - 4 - (6 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 170.59+-16339\nAnswer: -16168.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 9. Let v be o(7). Calculate the highest common factor of 95 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23238440?\nAnswer: 2, 5, 367, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 + 3 = 0. Solve -g - 2 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 77 in descending order.\nAnswer: 77, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, f: 3, x: 1, h: 4, r: 5}. Give prob of picking 2 h, 1 x, and 1 f.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(208) + -2 + sqrt(208) + sqrt(208) + -1)**2.\nAnswer: -72*sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 22*r + 26. Let y be f(21). What is the highest common divisor of y and 610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -56. Is -1*(g + -1159) - 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + j - 5. Let h be 2\/3 + (-26)\/39. Let l be d(h). Let r be -4 + 21\/3 - l. Solve -19 = -5*c + 4*w, -3*c - 3*w + 2*w + r = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1886*w**2 - 170*w**2 + 503*w**2 - 1629*w**2 - 1577*w**2 to c*w + r + b*w**2 and give b.\nAnswer: -4759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 10. Let i be d(5). Let v be 3\/(-21) - 118\/7. Let s = i - v. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + (sqrt(256)*3 - sqrt(256)) + sqrt(4))\/sqrt(2))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 28 - 5*s**4 + 62 - 36 - 12*s**4 - 8*s**4 + 8*s**4 + 0*s**3 + 0*s**3 - s**4 + (-3 - 2*s + 3)*(0*s**3 + 0*s**3 + s**3) + 4*s**2 - s**4 - 4*s**2.\nAnswer: -21*s**4 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 19. Let o = -18 - x. Let m(f) = -f**3 + 19*f**2 + 20*f + 3. Let p be m(20). Solve o = -3*i - k, p*i + 13 = -0*i - 2*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 38. Let g = 22 + d. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17861 or -17862?\nAnswer: -17861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/21)*a**(1\/15) assuming a is positive.\nAnswer: a**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3644 - 22?\nAnswer: -3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3 - 1. Let w be (10 - 7) + -2 + z. Suppose w = -5*i + 1461 + 764. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 1. Let m(s) = -s. Let n(r) = -6*r - 1. Let h(g) = -4*m(g) + n(g). What is 7*h(y) - 6*q(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 37 = 4*u, 84*r - 145 = 38*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.042 - 0.142. Sort -0.3, d, 9 in descending order.\nAnswer: 9, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 + 6*r**2 + 15*r**2 + 11*r**2 - 8*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, p: 3, t: 2, k: 6, j: 1}. Give prob of picking 1 n, 1 j, and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5482 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -43*n + 684. Solve -x - 5 = t, -2*x - n = 2*t + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i**2 - 75*i**2 + 151*i**2 - 6*i**3 + 4*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 + 122*f - 520 = 0. What is f?\nAnswer: -65, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -49*j - 981. Determine w(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*j = -22, -435*r = -438*r - 8*j - 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*g**5\/4 + 24*g**4 - 105*g**3 + 335*g**2\/2 - 213*g\/4 - 63\/2 = 0. What is g?\nAnswer: -2\/7, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 2, 5, -745 in increasing order.\nAnswer: -745, -1\/45, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -282.3 * -0.0431\nAnswer: 12.16713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000487380299 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.55 + -4.55. Let m be (-27)\/42*8\/(-12). Which is the nearest to -5? (a) m (b) u (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 2.03. Let o = p + -2.4. Suppose 0 = -z - 0 - 3. Sort z, 0.2, o in descending order.\nAnswer: 0.2, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 4, k: 1, w: 6, e: 3}. Give prob of picking 2 e and 2 q.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -949477\/54 - -17585. What is the common denominator of -113\/12 and t?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2179*z**4 - 629*z**2.\nAnswer: -52296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -2*y**5\/5 - 2*y**4 - 2*y**3 - 45. Factor p(x).\nAnswer: -2*x**2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:02 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i + 660. List the prime factors of (-102450)\/i + (-6)\/(-11).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - u + 3 + (-7 + 2 + 8)*(9*u - 17 + 17) to the form h*u + f and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22*(((g*(g*g**(9\/4))\/g)\/g)\/g)\/g*g)\/((g\/g**(-1\/2))\/g)**(-1\/5) assuming g is positive.\nAnswer: g**(467\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19925 - -34985. List the prime factors of i.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169738901 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -1206, -2782, -4996, -7842?\nAnswer: -11314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*t - 2*c, 3*t = 5*c - c + 32. Calculate the highest common factor of 32 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-1)\/(-2)*-2. Suppose -3*n - 2*t = -9, -z*n - t = -2*t - 9. Solve -5*h - 3*f + 21 = -3, -5*f = -4*h - n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -66. Let g(t) = -9*t**2 + 27*t - 27. Let m(j) = j - 1. Let n(u) = k*g(u) - 54*m(u). Let w(p) = -2*p**2. Determine n(w(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472*b = -1492*b + 138 - 758 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50355 and 1485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3861 = -257*d, -4*n = -15*n + 15*n + 2*d - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 216, -5 in decreasing order.\nAnswer: 216, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 4*q. Let z = -8 + 11. Suppose -z*j - 237 = -q*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009809108 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -172*j + 1952. Calculate r(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 5, 17.2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2703 + 4985. What are the prime factors of f?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -388679 - 165455. Let o = 107198 - t. Suppose -5*w - o = 5*i + 2438668, 2*i - 4*w + 1240000 = 0. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -153*q + 136*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from jijwwjjjwijjw.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 8*r**2 + 5*r + 9. Let l be z(7). Let u(o) = -3*o + 5. Let i be u(l). Solve i = -3*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4057602 centuries in decades?\nAnswer: 4.057602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + y + 1 - 3*y + (0 + 2 - 1)*(-1247*y + 571*y + 492*y) to the form i + c*y and give c.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -174 and 2.531?\nAnswer: 176.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -3574a13?\nAnswer: -3574a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 42*u + 95. Calculate c(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 6:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76286880 - 30433866. Let a = -916845951\/20 + p. Let d = a - 10719. Find the common denominator of d and -119\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164205 divided by -267.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-20)\/((-880)\/1572)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -926*l**3 - 8*l**2 - 11*l + 40. Let i(c) = -309*c**3 - 3*c**2 - 4*c + 15. What is -8*i(v) + 3*o(v)?\nAnswer: -306*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 4\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/6 + 3*y**4\/2 + 10*y**3\/3 - 10*y**2\/3 - 16*y - 32\/3 = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6616, -13173, -19730, -26287, -32844?\n\"Answer: -6557*q - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -28. What are the prime factors of (-5)\/c*(-11 + -3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 7*x + 10. Let l be a(9). Let p = 30 - l. Solve -4*n + p*r = 14, 2*n = -5*r - 12 - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -48037?\nAnswer: 48015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-710)\/284)\/(30\/396)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -461 and 869853?\nAnswer: -401002233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by -2898.\nAnswer: 47\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 - 2.59. Let l = a - 0.0456. Let b = 0.059 - l. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25637 + 0.6.\nAnswer: 25637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -5*c, -2*c + 2*y + 6 = -2. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*w + 7449, 0 = 3*w + 4*s - 5046 + 551. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(1\/(-2)*(2 - 4)). Which is greater: 4\/19 or v?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2589.71 minutes to microseconds.\nAnswer: 155382600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-468)*636 - (-13 + 2)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by (-2226)\/(-24) - 8 - 1\/(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i = -11*i + 4240. Calculate the greatest common divisor of 901 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h**3 - 13*h**2 + 14*h + 6. Let g(o) = -2*o**2 + o + 1. Let v(t) = d(t) - 5*g(t). What is the second derivative of v(b) wrt b?\nAnswer: -132*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-297)\/(-15))\/(14\/20))\/(-5*(-90)\/(-2100)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0379 - -41.1379. Let x = f - 41. Which is the closest to -0.07? (a) 3 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 2*i + 6. Let j = 33 - 28. Let d be y(j). Find the second derivative of c - d*c**5 - 6*c + 7*c**5 + 2*c**5 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 773*x**3 + 3 - 175*x**3.\nAnswer: 598*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -35*d. Let l be v(-3). Suppose 5*t - 4*s + s - l = 0, -34 = -3*t - 4*s. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 16. Let s be x(-7). Suppose 0 = -s*b + 9 + 11. What is the third derivative of 5*z**b - 19*z + 6*z**2 + 19*z wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, 36, -4 in decreasing order.\nAnswer: 36, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 8. Calculate the remainder when 2\/6 + 34\/6 is divided by f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10887795.\nAnswer: 3, 5, 241951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.72935 micrometers to meters.\nAnswer: 0.00008572935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/(w\/(w\/(w*w**(-2\/3)*w))))\/(w**12*w*(w\/w**(-1\/38)*w)\/w) assuming w is positive.\nAnswer: w**(-8641\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111246 + -3?\nAnswer: 111243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.008 and -215134786956.\nAnswer: -215134786955.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-618)\/(-10197) - (-1002)\/(-6732).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/60*12\/(-231). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/138416 and 53\/380644.\nAnswer: 1522576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2 + -1 + (-559)\/(-65) + -15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.60173664 * -2.\nAnswer: 3.20347328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4745 and 975.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/(3\/30). Suppose 2*o + 2 = m - 10, 16 = b*m. Let q be o\/(-6) - 1\/(-12). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(20) - (sqrt(20) - sqrt(180)\/(sqrt(9)*-3) - sqrt(20)) - sqrt(20)) - 6*3*sqrt(20))\/((sqrt(144) + -1*sqrt(144)*3)*-5).\nAnswer: -13*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 16. Let c be o(-12). Let u be (-38)\/(c\/(-8)*-4). Let t = -19 + u. Solve 0 = -4*l - t*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 816, 1678, 2568, 3486, 4432?\n\"Answer: 14*k**2 + 820*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 34*m**2 - 105*m + 1176. What is x(36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -141. Suppose -4*y = 3*t + 4, y + 2*t = 3*t - 1. What is the remainder when f is divided by (86\/6 - 3) + y\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-2162)\/129 - ((-12665)\/255 - -42))\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-21))\/(208\/60424*-83).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, -7, -5\/7, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 22*i**3 - 54*i**3 + 3*i**2 + 36*i**3. Let q = 29 - 27. Let x be h(q). What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 61 + 103 + -101\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8. Let f(b) = b - b - b + d. Let l(n) be the third derivative of n**4\/6 + 3*n**2. Calculate l(f(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 2. Let c(p) = -4*p**2 + 5 + 6*p**2 - p - 1. Let z = -6 + 3. Let b be 5\/1*(-3)\/z. Determine b*n(y) - 2*c(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 3*l**2 - 3*l**3 + (3*l - 3*l - l)*((2*l + 2*l - 3*l)*(2*l + l - 5*l) - 5*l**2 + 4*l**2 - 2*l**2 + 111*l**2 + 218 - 218).\nAnswer: -109*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/11 (b) -1 (c) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435996 and 4048.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 10. Let n be q(-3). Suppose 3*u = n + 11. Solve -5*l - u = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 10 = 13*o. Let y(q) = o - 1 - 2*q**2 - 4. Let i(v) = -2*v**2. What is i(y(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 371*c - 6486. What is s(16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 5*t**2 + 3*t - 10. Let r be w(5). Let b(v) be the first derivative of 8\/27*v**3 + 2*v**4 + 0*v + 18\/5*v**r + 0*v**2 + 3. Factor b(f).\nAnswer: 2*f**2*(9*f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50.214 or 723?\nAnswer: 50.214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 27, 1, 4, 0 in decreasing order.\nAnswer: 27, 5, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.57 - 4.57. Let t = 1.04 - 1. Sort a, -0.1, t in descending order.\nAnswer: a, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100101111101101?\nAnswer: -100101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3 + 1 + 126*z**2 - 63*z**2 - 60*z**2 + 12*z - 5. Let s(q) = -q**2 - 6*q + 4. What is -4*r(t) - 7*s(t)?\nAnswer: -5*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00578775 to four dps.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let t be r(6). Suppose -4*g = -t*g. Suppose g = f + 3*f - 48. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -277*d + 274*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 5*b - 3 - 3 + 4. What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x - 18. Let d(v) = 6*v - 5. Let i(j) = -407*j - 3645. Let m be i(-9). Give m*d(h) - 5*f(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 + 1\/20*f**5 + 1\/6*f**3 + 0*f**2 - 7*f + 0*f**4. What is the second derivative of r(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2275 or 7840?\nAnswer: 2275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210174 + 420364 - 210190 + 24*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeegggeggeeg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(154)\/sqrt(11) + sqrt(14)))\/((sqrt(54)\/sqrt(9))\/sqrt(3))*-6 + -3.\nAnswer: -12*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000769 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(4\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -91 - (12 + 7 + (-2 - -2) + -11 + -1)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6306 - 2511. Let x = o + -3841.81. Round x to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3429 and 3821049?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -490698?\nAnswer: 490699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1)**2 + 0.\nAnswer: -18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38892668 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 1 - 6 + 5*j.\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3735462 and 3735462.\nAnswer: 3735462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -47, -1\/12, -1, -0.08 in ascending order.\nAnswer: -47, -1, -1\/12, -0.08, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/360*a**6 - 25*a - 1\/24*a**4 - 1\/45*a**5 - 13*a**2 + 0 + 0*a**3. Let b(f) be the first derivative of v(f). Factor b(u).\nAnswer: -u*(u + 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000193459633 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q. Let s(a) be the first derivative of a + 49. Let o(y) = -y + 11. Let f(h) = -2*o(h) + 22*s(h). Calculate t(f(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 - 11 = 0. Let r(v) = -3*v - 5. Let q(z) = 5*z + 12. Let p(g) = 5*q(g) + 9*r(g). Determine p(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 - 16*g**2 - 13\/4*g**4 + 6*g + 0*g**3. What is the derivative of l(q) wrt q?\nAnswer: -78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -495 or -155?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1947758\nAnswer: 779103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)**(-50))**(-26)\/(((l**(1\/4)\/l*l*l)\/(l**(-3\/5)*l*l))\/(l*l**1)**45) assuming l is positive.\nAnswer: l**(79803\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**2 - 17*s**3 - 6*s**2 + 8*s**2 wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 5\/3436 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 3. Let x be l(8). Let s = -9 - x. Sort -1, -2, s in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(30)\/sqrt(6))**2.\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705396 and 8700?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-l + 0*l + 2*l) - 2523 + 832*l + 2523 + (6 - 2 - 2)*(2*l - l + 0*l).\nAnswer: 832*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160980 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 1578*j + 16080.\nAnswer: -3*(j - 536)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4639.266ml?\nAnswer: 4.639266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 - 243*j - 465. What is t(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 205, 294, 383, 472, 561?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 17422\/248)\/(36\/16)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and 717609.\nAnswer: 717618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -464072, -464075, -464078?\n\"Answer: -3*w - 464069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1300) - (-1 + sqrt(1300)))*3)**2 + sqrt(325) + 0 + -5 + 1.\nAnswer: 5*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (14 + -4 + 61 + 0) - -12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a51 (base 12) to base 16\nAnswer: 5dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5 - 25. Let z(i) = -i**2 + 4*i - 1. Calculate the remainder when k is divided by z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -1 - -37996 - (2 + -18)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 - 3)\/(-3 + 5). Let d be (r\/(-2) + 3)\/2. Let y = d - -1. Let c(m) = 7*m - 1. Calculate c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 46. Let x(r) be the second derivative of 1\/6*r**4 + 1\/10*r**6 + 0 + u*r + 0*r**3 + 0*r**5 + 0*r**2. Find the third derivative of x(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y*y*y**(-1\/4))\/y))**(-2\/27))**(2\/59) assuming y is positive.\nAnswer: y**(7\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z - 4*z)*(-1 + 3 + 0)*(4 - 4 + 14 + (0 - 1 - 1)*(-4 - 5 + 4))*(-2*z - 2*z + 6*z).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7126 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -9*s**5\/5 - 49*s**3 - 108. What is the third derivative of k(j) wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -1 - -9)\/2. Solve -3*c + 2*g = -2 - 3, -15 = u*c + 3*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.894 - 35.969. Let h = u + -0.137. Let i = -64.9999808 - h. What is i rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -4*o - 58, -6 = -2*o. Let a(d) = -6*d**2 + 21 - 12*d + 11*d + 7*d**2. What are the prime factors of a(k)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**2*g**3*h - 3*b**2*g**3 + 22*b**2 - 189*b*g**3*h + 91*b*g wrt b?\nAnswer: -16*g**3*h - 6*g**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(162) - (-1*sqrt(162) + sqrt(162)))\/sqrt(6) - sqrt(27)))\/(sqrt(90)\/sqrt(160)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 118*j - 48*j - 57*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {l: 1, w: 1, u: 1, g: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + 10 + (-8 - -1771)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-5)*(-1)\/(-2). Let g(l) = l**2 + 7*l + 4. Let y be g(m). Solve -4*n + 10 = -2*j, -j = -y*j + 3*n - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23703 and 23053.1.\nAnswer: 46756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4902 by -30.\nAnswer: 817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*j + 4, -20 = 8*j - 3*j. Let u be 56\/x*(-4)\/(-7). Solve 2*y - u*c - 2*c = -20, -4*y = -4*c + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + 0. Let i = -346 - -348. Which is the second biggest value? (a) s (b) 2\/13 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 + -3?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k + 14 - 18 - 13*k + 7 + 5. Let t(p) = 6*p - 4. What is 3*j(x) + 7*t(x)?\nAnswer: 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 34 + 3*f - 16 - 14 - 2*f.\nAnswer: f - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -5)\/(3\/2). Suppose 108 = 5*x - v*o, -o + 47 = 2*x + 2*o. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**3 - 2*q**2 - 7. Let l be h(5). Let n be (0 - (-36330)\/39) + 0. Let a = l + n. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:42 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8854 + 4428 - 6*x**2 + 4427.\nAnswer: -6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -59 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/162 + (-28)\/18 - -2. Suppose 0 = -r*w - 5*w + n + 15, 5*n = 5*w - 35. Solve 3*c - 13 = -3*o - 4, 18 = -w*o + 4*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-8)*64\/72?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1)\/((-236)\/(-116) + -2). Suppose 61 = r*m - 32. Solve 0*z + 2*j = -m*z - 25, j - 10 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12361650?\nAnswer: 2, 3, 5, 7, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -38.7.\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(-2*(sqrt(475) + -1) + -5) + 0) + 0 + -3.\nAnswer: -250*sqrt(19) - 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r - 9. Suppose 2*l + 0*l - y = 1, 1 = l - y. Solve l = -3*m - q - 6 - 4, 2*q = r*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 600353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67145, -133610, -200075, -266540, -333005, -399470?\nAnswer: -465935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (132\/99*(-11)\/2)\/(212\/954)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -214426 (base 7) to base 10\nAnswer: -37603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38788062 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(18\/7)*m*m*((m\/((m\/(m*m**(-28)*m))\/m))\/m)\/m)**15 assuming m is positive.\nAnswer: m**(-2355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 215, 200, 177, 146?\n\"Answer: -4*p**2 - 3*p + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 10. Let g(l) = 5*l + 1. Let q be g(-1). Let j = 17 + -19. What is the biggest value in r, q, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Let w(c) be the first derivative of c**2\/2 + 10*c + 1. Let o be w(-7). Let u(m) = o*m**2 + 3*m**2 - 5*m**2. Determine n(u(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 7*v - 6. Let k be (-2 - 2) + 2 + 1. Let y(r) = -7*r**3 - r**2 + r + 1. Let s be y(k). Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.697 - -15.6. Let w = k - -7.997. Let f = w + -8. Put -1, f, -4 in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 3*m - 9.\nAnswer: -(m - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 4*d**2 - 2 + 11*d**3 + 2*d - 10*d**3 + 0*d. What is i(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -5*u - 57. What is the highest common factor of 95 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 5*t + 11, -4*f - 16 = f - 4*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.5 + 175.5. Let z = -279 + s. Is z != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1351660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 1592*z - 12704. Let g be a(8). Calculate the highest common divisor of g and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6943 or -9063?\nAnswer: -6943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01372 - -0.10372. Which is the biggest value? (a) -0.02 (b) x (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001100011010 (base 2) to base 14\nAnswer: -4aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47003 - 47000 + 94003 - k**2 + 0*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4*x**3 + 42 + 2*x - 26 + 27. Find the first derivative of a(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(3\/(-444)*2). Let q = r - 58. Calculate the remainder when 168 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 27*f - 357. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/152 + (-11)\/(-20).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-22 + 0 + 0 + (-213 - -216)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:37 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(5850\/756) + -8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 1.3. Let d = -156.3 - -156. What is the third smallest value in i, d, -3, -1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -168*a**3 + 49*a. Let d(n) = -n**3 - 24*n**2 - 10*n - 12. Let m(s) = -s**3 + 4*s**2 + 2*s + 2. Let u(w) = -d(w) - 6*m(w). What is -147*u(x) - 6*y(x)?\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 25. Suppose -4101 = -c*j + 4*f, 0 = -f + 4*f - 3. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57688 = -3*g + 5*y, 5*g = -2*y + 35956 + 60139. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62050486 to the nearest integer?\nAnswer: 7877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 716353 (base 12) in base 3?\nAnswer: 10100002200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 66 = -2*i, 3*i - g = -2*g + 99. Calculate the greatest common divisor of 132 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0*g - g + 2*g) - 1 + 1 - 2*g + (36*g - 14*g + 42*g)*(-4 + 2 - 4) + (-2 - 2 + 3)*(-4*g + 4*g + g).\nAnswer: -389*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.2, 2\/41, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, -0.68, -1\/3 in increasing order.\nAnswer: -3, -0.68, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**4 - 8*d**2 + 3*d + 25. Let i(o) = -29*o**4 - 23*o**2 + 8*o + 75. Let b(u) = 3*i(u) - 8*j(u). Differentiate b(l) with respect to l.\nAnswer: -28*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-105)*-10*(-11880)\/264?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**7\/14 - u**6\/6 + u**5\/20 + u**4\/12 + 10*u. Determine h, given that a(h) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*u - 39 - 1, 0 = 3*u - 12. Suppose 6*w = g*w + 192. Let y = -81 - w. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and -4*(4 - 5) + 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:09 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1908 and 9742248?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9 - 184\/(-6). Let x(c) = -2*c - 12. Let z be x(-9). What is the greatest common divisor of z and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -663546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1577 and -49\/8?\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/8111 or -1?\nAnswer: 2\/8111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) + 9\/4. Let v(c) be the first derivative of c**5\/10 - c**4\/6 - c**3\/6 - 2*c + 19. Let d(o) be the first derivative of v(o). What is d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119008 rounded to 4 dps?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*h + 7, 2163 - 2173 = -5*h - p. Solve -59*c = -56*c - 3*w + 3, 3*w = 5*c + h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -6*k + 2, -36 = 7*k + 44761*t - 44764*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -601, 8, 2, 24, 9.\nAnswer: -601, 2, 8, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16794.37971 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099.25821 rounded to the nearest integer?\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113343329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 311676 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1168 - 640. Let x = 10025 + d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.805 times 15446\nAnswer: 12434.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -60358, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzz when three letters picked without replacement from mzdvtmz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j = 54*j + 5585 - 3245 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22031 - 22076. Which is the third smallest value? (a) i (b) -0.1 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, f: 4, v: 1, g: 3}. Give prob of picking 1 h and 1 v.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 9883543460.\nAnswer: -9883543458.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10550, -42215, -94990, -168875, -263870, -379975, -517190?\nAnswer: -675515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*k + 52, 3*k + 27347 - 27372 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, m: 7, j: 4}. Give prob of picking 1 m and 2 j.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 2*g**3\/15 - 13*g**2\/5 - 12*g + 812. What is h in i(h) = 0?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1190 - -11931\/10. Let b = w + -41\/60. Find the common denominator of b and 123\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.5 + -4.5. Let s = w - 6. Let g = 28 - s. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.5591175 to one dp.\nAnswer: -287.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -191. Sort p, 1\/4, -3 in decreasing order.\nAnswer: 1\/4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 31 = -49. What is the greatest common factor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let f(i) = 13*i**2 - 6*i + 1. Let t be 8\/18 + (-286)\/117. Let p(h) = -78*h**2 + 39*h - 6. Let b(x) = t*p(x) - 13*f(x). Calculate q(b(d)).\nAnswer: -169*d**4 - 26*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 1 - (-8628 - -8620)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j + j - 3*j**5 + 8*j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, -5, -102, 4, -13 in descending order.\nAnswer: 21, 4, 2, -5, -13, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9305\/16296 + -1\/2328. Sort v, 2, 10, -0.04, 3 in ascending order.\nAnswer: v, -0.04, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -34*b. Let y(x) = -43*x + 4239. Determine y(z(l)).\nAnswer: 1462*l + 4239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (360\/(-33))\/(-5) - (-6)\/(-33). Let m = -6 + 15. Suppose -l*b = -5*b + m, x = -b + 68. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 16 = 0. Suppose 4*c - 1 - 11 = -2*r, 0 = -q*r - 5*c + 12. Let x(w) = -w**3 - 6*w**2 - w - 3. Let n be x(-6). Put r, -1, n in decreasing order.\nAnswer: n, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67d + 581f?\nAnswer: 51a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -3912, -15324, -38078, -75954, -132732?\nAnswer: -212192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.02 and 9?\nAnswer: 9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let v = 5 + b. Let l(m) = 1 - 9*m + 1 - v + 3. Determine l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3780495187?\nAnswer: 7, 29, 2660447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543249.6 millennia to decades.\nAnswer: 54324960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18490041*o + 18490144*o - 2472 = 0 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-73)\/3 + 32\/(-48). Let k = n - -35. Let o = 5 + k. Calculate the remainder when o is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 129*s + 1663. Let c be n(-10). Solve c*a - 382*a = 54 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 383, 1, -2 in descending order.\nAnswer: 383, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - v - 11*v - 3 in the form h*v + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - 8. What are the prime factors of 18*-4*q\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1836.835ng to micrograms.\nAnswer: 1.836835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**11*q*(q\/(q*q**3))\/q)\/(q\/(q\/q**(-5)*q))**(-4\/3))**(-35) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 510\/8*(-7200)\/(-108). Let y = -5 - -9. Suppose 6*i + 4*t - p = 4*i, -y*t + 6373 = 3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 34453*b**3 + 5 + 108*b - 34453*b**3 to s*b**3 + o*b**4 + m*b**2 + i*b + p and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2*l*p - b**2*p - 3*b**2 + 283*b + 119*l + 7997*p wrt p.\nAnswer: 4*b**2*l - b**2 + 7997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -273 (b) 2\/7 (c) -0.1 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-6))\/(10\/(-30)). Suppose -a*i = 13 - 233. What is the smallest common multiple of i and 5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -32. Let y(h) = -34*h - 235. Give y(q) - 3*z(q).\nAnswer: -34*q - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*y - 242*y + 41 = -2*h, 2*h + 61 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2325538*j**3 + 1177*j**2 + 1177*j + 1177. Let q(t) = 7910*t**3 - 4*t**2 - 4*t - 4. Calculate 4*o(u) + 1177*q(u).\nAnswer: 7918*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -2*b**6\/15 - b**4 - 7*b. What is the third derivative of t(j) wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 4*u - 3*u + 3*u**2)*(2 + 4 - 1).\nAnswer: 20*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, 62432 in ascending order.\nAnswer: 0.1, 3, 62432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -6, -28.\nAnswer: -28, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 46145.\nAnswer: 7198620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**(-4\/9)))\/k**(7\/4))\/(k**(2\/17)\/k*k*k*k*k**(1\/7)*k))**43 assuming k is positive.\nAnswer: k**(-1025335\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1032)\/22 - (76\/(-11) + 7). Is 3*r*16\/((-720)\/255) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-17\/2)*c)**26\/(c**(-5)*c*c**5\/c*c) assuming c is positive.\nAnswer: c**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let n(w) = -5 + 2*w + 4*w**2 - 6*w**2 + 4*w**l - w**2. What are the prime factors of n(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*c**3*v**2 + c**3 - 85*c*v**2 wrt c?\nAnswer: 612*c*v**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4\/3 + 30*g. Let o(q) be the third derivative of -q**5\/4 + 24*q**2. Determine m(o(v)).\nAnswer: -900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19361.151 months?\nAnswer: 1.61342925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1374*d**6 + 1400*d**2.\nAnswer: -164880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 3*w - 5. Let u be 2*1 + (3 - 1). Suppose u*k - f = -5*f - 32, 5*k + 4 = 4*f. Let z(n) = n**3 - 2*n - 4. Give k*z(g) + 3*j(g).\nAnswer: 2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 331552483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i - i - 2 + i + 2 - 3 - 2*i + 3 + (4 - 4 - 2*i)*(3 + 1 - 5) + i - 2*i + 2*i + i + i + 0*i + i - 3*i + 0*i)*(518 - 1235 + 202).\nAnswer: -1545*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - x, -8 = 2*m + 15*x - 19*x. Solve 0*p - 4 = m*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)*3\/(-1) + -2178. Let p = 4334 + n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1863*p**3 + 1035*p**2 - 1035*p. Let u(b) = 2*b**3 + b**2 - b. What is -t(o) + 1035*u(o)?\nAnswer: 207*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -166 (b) -4 (c) -3\/5 (d) -5 (e) 0.2 (f) -196\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 67*i**2 + 35*i + 309. Let o be c(-17). Let z(v) = -27*v + 3. Let t be z(-7). What is the greatest common divisor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33*(-22)\/90992*(-206)\/6 and -29\/94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 6*x**3 + 10*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z + 2661 + 827. List the prime factors of z.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 2, j: 1, k: 1, q: 1, i: 2}. Give prob of sequence dqij.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4414107*k**2\/7 - 511133940*k\/7 - 14796758700\/7 = 0.\nAnswer: -70230\/1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 26*y**2 - 16. Let c(r) = -65*r - 2. Determine a(c(b)).\nAnswer: 109850*b**2 + 6760*b + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -19043*d + 57131. Calculate j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.168+0\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345501372 and 0.1.\nAnswer: 34550137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 13*p - 9. Let l be q(11). Let j(t) = -t**2 + 15*t - 18. Let x be j(l). Suppose 28 = 5*r + x. Solve -r*k - z = 8, -4*k + 4*z + 10 = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16246*h**2*p**2 - 74*h*p**2 - 8*h wrt h?\nAnswer: 32492*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10020021220120210?\nAnswer: -10020021220120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9884 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.199909. Round q to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k - 5*k - 3 - 2*k + 3 + (3*k - k - 3*k)*(-4 + 3 + 3) + 4*k - k - k + 8*k + 3*k - 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8072581 + -123821.\nAnswer: -8196402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z - 3 + 3)*(-3*z**2 - 3*z + 2*z - 2*z) to r*z**3 + n*z + o + w*z**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/6 + 6*c - 37\/6 = 0. Calculate c.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3668600833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 754 divided by 1028988\nAnswer: 377\/514494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 152*m\/3 + 2120.\nAnswer: -2*(m - 106)*(m + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and 23\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261 divided by -133?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*z**4 - 2908832*z**3 - 460714622 with respect to z.\nAnswer: -20*z**3 - 8726496*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 8*k**3\/3 - k**2 - k - 2. List the prime factors of g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -28*n. Let g(c) = 13 - 2*c - 14 + 1. What is l(g(u))?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 + 10?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2*c**3\/3 + 35. Let a(x) = x**2 + 10*x. Give f(a(y)).\nAnswer: -2*y**4 - 40*y**3 - 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(136)\/sqrt(2).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1 + sqrt(405) + sqrt(405))*6 + 4 + 2)**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-6))\/(3\/4). Suppose 8 = -r*x + 6*x. Solve a = -a - x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11269098 to the power of 1\/2, to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771970525?\nAnswer: 5, 31, 439, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3417 times -1409\nAnswer: 4814553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**2 - 2624*i + 7 - 12*i**2 + i**3 + 2622*i + 10*i**2. What is the remainder when h(-6) is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = t + 4, -t - 6 = 4*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -333, -500, -667, -834, -1001?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:32 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15849, -15458, -15067, -14676, -14285, -13894?\nAnswer: -13503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278068578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 7*c**4\/3 - c**3\/6 + 372*c**2 - 2. Let m(x) = -21*x. Determine m(k(b)).\nAnswer: -1176*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - k - 1. Let w = 184 - 185. Let d be l(w). Suppose 3*b + 0*b = c + 9, 5*b - 4*c = 15. Solve -5*v + b = -d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let d(o) = -3*o + 6. Let q(t) = d(t) - 2*x(t). Let b = -15 - -19. Let g be 1*(b + 4\/(-1)). What is q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/144)\/(954\/2862).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -254*q - 10. Let j(g) = -253*g - 6. What is 3*j(b) - 2*m(b)?\nAnswer: -251*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 not equal to 0.8726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u**2 + 0 - 2*u + 1\/3*u**3. Let g(x) = -x**3 - 6*x**2 - 3*x + 6. Let i be g(-5). Calculate z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372))**2 + (sqrt(112) + -1*sqrt(112) + sqrt(112))**2 - ((sqrt(7) + (-5 + -1*sqrt(7))**2 + sqrt(7) - (sqrt(7) + (-2 + sqrt(175))**2)) + 5).\nAnswer: -31*sqrt(7) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -4*r + 17, 3*r - 12 = 2*p. Suppose 0 = r*z - 0*z + 16, 2*y - 5*z - 46 = 0. Solve 5*u + 3 = y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) 1.82 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40602 is divided by 383.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 3*r**2 + 3*r - 3. Let s(a) = 5*a**3 - 10*a**2 + 10*a - 10. Let c(t) = t**3 + 6*t**2 - 13*t - 45. Let x be c(-7). Calculate x*s(d) + 10*i(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 28*g**2 - 128*g - 192.\nAnswer: -2*(g + 4)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2477.805 kilograms to milligrams.\nAnswer: 2477805000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -645*w - 5144. Let o be d(-8). Solve -3*k = 54*n - 55*n - o, -4*k = n - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)\/sqrt(2) - sqrt(288)*3)\/(1*-1*sqrt(324)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10) + (4 - 2 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5106, 40934, 138188, 327582, 639830, 1105646, 1755744, 2620838?\n\"Answer: 5119*a**3 - a**2 - 2*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - l - 2977 + 911, 0 = t - 2*l - 1030. Suppose 0 = 8*f - t - 366. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t + 1. Let l(m) = -m**2 - 4*m - 3. Let d(u) = -12*g(u) + 3*l(u). What is the first derivative of d(o) wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14863 + -14859. Solve -8 = -2*f + s - 13, 4*s = -g*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1114 bigger than -1019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v - 6 = 0. Suppose 8 - 32 = v*i. Sort 0.2, -4, i in ascending order.\nAnswer: i, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30279736, 30279738, 30279740, 30279742, 30279744?\nAnswer: 30279746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10513970 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/3 + 554*t**2\/3 - 28768*t\/3 = 0. What is t?\nAnswer: 0, 58, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-195)\/(-3 - 0)*16. Let h = 2697 - x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496245153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 - a**2 - 25 + 43)*(5 + 0 - 4).\nAnswer: -7*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208682.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2872, 2886, 2910, 2950, 3012, 3102, 3226, 3390?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 9) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 892, 1128, 1474, 1966, 2640, 3532?\nAnswer: 4678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2\/4*-1). What is the second derivative of -2*r + 7*r**4 - 3*r**4 - r - 2*r**c wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200.783 meters in kilometers?\nAnswer: 2.200783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.04. Put -2\/3, 5, l in decreasing order.\nAnswer: 5, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -448568 - -816841. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.07, 2\/21, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1, -0.7, 2\/11, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1620, 1\/3, -5, 0.3, 3, -1 in decreasing order.\nAnswer: 1620, 3, 1\/3, 0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5)\/j**(3\/14)*j**(-1\/5)\/(j\/(((j**(-16)\/j*j*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-869\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294806, -589484, -884058, -1178528, -1472894, -1767156?\nAnswer: -2061314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.8 + -41.615. Let g = 0.185 - m. What is the third smallest value in -5, 2\/9, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*k - 8*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 609.06 + -604. Let l = -0.5 - -0.56. Let j = l - a. What is the nearest to -1\/2 in j, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4734 in -0.05, -6, 0.203?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f + 5*c - 1, 5*c = -4*f + 5. Let u be 5*-25*(-9)\/f. Calculate the greatest common divisor of 50 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -5, -32 in descending order.\nAnswer: 9, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4))\/1*(-30)\/(-770)*11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let h(b) = -177*b - 1. What is h(q(x))?\nAnswer: 177*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 + 15*y**3 - 10*y**3 + (-2*y - 2*y + 6*y)*(0*y**2 + y**2 + y**2) - 2210*y + 2210*y + 117*y**3.\nAnswer: 131*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 29. Let f be i(-6). Let p be 1\/4 - 33\/(-12). Let u = p + f. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 231365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5431 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 3*v - v, -5*s + 13 = 3*v. Let q(f) = s*f + f + f + 13 - 3*f. Give q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-58)*4*(-9)\/66 - 0?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -f - 5*l - 1164, 5*f - 69*l + 33*l - 239 = -33*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278 + 503. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.34 - 23.34. Put -6, 1\/5, 3, f in descending order.\nAnswer: 3, 1\/5, -6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1527 times -1\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1364 - -1366. Let w(n) be the first derivative of -15 + 13\/2*n**u + 0*n + 2*n**3. Find the second derivative of w(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbzzecjq. Give prob of picking 1 j and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14aacc (base 14) to base 12\nAnswer: -2a9350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -253*u + 24. Let o be h(-14). Let w = -64229\/18 + o. Find the common denominator of (34\/42)\/((-2)\/(-9)) and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 5, 2, 1.\nAnswer: -41, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -495263 - -358.48191\nAnswer: -494904.51809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19140384 divided by -6.\nAnswer: -3190064","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*u - m, 2*m - 10 = -3*u + 1. What is the highest common factor of u and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -4\/3*m**3 + 0 - 1\/120*m**6 + 0*m - 1\/12*m**5 + 1\/6*m**4 + 3*m**2. Let p be l(-6). Solve 0 = 4*i, f - 2*f - p*i = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1646.05 (c) -1034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -585.3 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 7, 5, -11 in descending order.\nAnswer: 7, 5, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202\/7 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 4 - 288*b**3 + 285*b**3 + b.\nAnswer: -3*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*1)\/(11 - 9). Suppose 3*n - 2*k = -2*n + 68, b*k = -12. Let l be n\/(-28) - 108\/(-154). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y + 54*y + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21649, 21643, 21605, 21535?\nAnswer: 21433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:15 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016 and 5216274.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 3*h**2 - 2*h**2)*((2*h - 5 + 5)*(6*h**2 - 3*h**2 - h**2) + 7*h**3 + 3*h**3 + 6*h**3).\nAnswer: -80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57366246 + 31976246. Round g to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from owwowwowwwww.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 216, 472, 830?\n\"Answer: 51*x**2 + x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -10 - 14) + -14 + 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-434)\/(-105) - 4) + 1379\/(-105)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 9\/4, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*x + 95, -5*x + 2*l + 125 = -2*l. Suppose 0 = -3*i + 165 - x. Suppose -5*b + i = -32. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + -3 - (sqrt(112) + sqrt(7) + 1)) + 4*(sqrt(7) + sqrt(14)\/sqrt(2) + -2))**2 + -4.\nAnswer: -96*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.45 + -71.45. What is the second biggest value in 3, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -c - h + 2536, c - 3*h = 2539. Suppose 4*k = 6*k - c. Let r = -778 + k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6174 - -6174.5. What is the nearest to -2\/7 in 0.08, y, 35?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*f - 4*g - g, -5*g = -5. Let w = f - 12. Suppose w*d + 4*d = 364. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 7*m + 8. Let x be p(-6). Let w be (-11)\/(-14) + x\/(-4). Which is the nearest to w? (a) -0.5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 + 5414*g**2 = 0. What is g?\nAnswer: 0, 2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479658, -479782, -479906, -480030, -480154, -480278?\nAnswer: -480402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + -5 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*m - 17, 5*m = 11*h - 10*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2871 = -683. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, p: 11}. Give prob of sequence epee.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - (-8 + -10 + 20 - 11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08716 - -7.91284. Let k = -18 - -21. Which is the third biggest value? (a) k (b) -7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (2 - -3) + 6 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75, 147, 219?\n\"Answer: 72*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 190.12 and 0.38686?\nAnswer: 189.73314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:53 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 546, 726, 962, 1254, 1602?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -11*u**4\/4 - 1357*u**2. Let m(y) = 20*y**2. Calculate d(m(k)).\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + -60. Let n = l - -129. What is the nearest to n in 1.5, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4*l - 3. Let i = 21 - 9. Suppose -4*d + i = -4. Suppose c + 7 = -2*o - d, -o = -5*c - 22. Give u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -207, -301?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-1) + 12\/(-4). Suppose 3*p - 43 = -5*c + 32, -g*p + 68 = -4*c. Suppose -3*s + 43 = -p. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + sqrt(5760)*-2 + sqrt(40))\/((sqrt(80)*1 + sqrt(80))\/sqrt(10)).\nAnswer: -11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 841259.172 to the nearest one thousand.\nAnswer: 841000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28843 is divided by 71.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 179*g**2 - 24*g - 10066. Give p(-89).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 - 94404*i**3 - 1321650*i**2\/7 - 660824*i\/7 = 0. Calculate i.\nAnswer: -330412, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 458 - 6538. Find the second derivative of 1216*v**2 - 3*v + 28*v**3 - j*v**2 wrt v.\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 84?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-20)*4*5\/1. Let c be ((-6)\/s)\/(3\/10). Determine k so that 3\/5*k**c - 3\/5 + 6\/5*k**2 - 6\/5*k**3 - 3\/5*k**4 + 3\/5*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(55)\/sqrt(5) - sqrt(11))*-2 + sqrt(11) + (sqrt(11) + -3)*3 - (-5 + sqrt(1584)*4 - sqrt(1584) - sqrt(1584))*-1)**2.\nAnswer: -840*sqrt(11) + 10096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 29 = -5. Let o(i) = 0*i**2 - h*i**2 + 4*i**2. Let v(n) be the first derivative of -n**2\/2 - 725. Determine o(v(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242 or -2000?\nAnswer: -1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5827 + 34*s - 33*s - 1945 - 1942 - 1940.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 414, 1524, 3694, 7278, 12630?\nAnswer: 20104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9376? (a) -3 (b) 0.2 (c) 14 (d) 3\/7 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 + 10*k. Let m(d) = -d**2 - d. Determine -5*m(j) - z(j).\nAnswer: -j**3 - j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-52)*(-16)\/(-20). Let n = 0.3 - 1.3. Let i = n + 1.2. What is the second biggest value in -4, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 49*d + 1870. Suppose 2*b = 4*r + 46, 3*b + 2*b - 175 = -5*r. Calculate the remainder when h(-22) is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 15) to base 3\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*h + 180550 + 3745 = 1699*h - 58900 for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, -4, -10, -28, 3, 1, 0 in decreasing order.\nAnswer: 215, 3, 1, 0, -4, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -54*a - 147. Let k be q(-9). Let j = -327 + k. Solve 5*f + y - 2*y + 21 = 0, j = -3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13641 (base 13) to base 7.\nAnswer: 210411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (-1 - (-245)\/7). Let o be (-120)\/(-2)*(-3)\/(-6). Let a = o - w. Solve -29 = a*d - m + 4*m, m - 2 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4 - 19, k = -2*g + 11. Suppose 20 = -5*l, -4*v - l = 3 - g. Solve v*w = -4*r, 5*w = 2*r - r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7981.48 * 4.8.\nAnswer: -38311.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -1\/7, -0.03, -2\/9 in ascending order.\nAnswer: -97, -2\/9, -1\/7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 1, w: 1, h: 1, r: 3, x: 4}. What is prob of sequence xpzx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12971*r - 172053 = 10240*r for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*s - 1438 + 362 - 828 = 0. Suppose 0 = 5*w + 15, -5*l + 3*w - 10 + 49 = 0. Suppose 2*p - s = l*u - 11*u, u - 2 = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 - r**2 + 7*r. Let h(n) = n**2 - 6*n - 87. Let j be h(-16). Let l = -262 + j. Let m(u) = -6*u**3 - u**2 + 8*u. What is l*m(s) - 4*k(s)?\nAnswer: 2*s**3 + s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109915099.\nAnswer: 7, 15702157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/8))**(13\/3))**33 assuming z is positive.\nAnswer: z**(429\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/9 + (0 - 1). Let h = -2 - -2.1. Let y be (-11)\/((-165)\/36) + -4 + 2. What is the nearest to y in h, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + ((-10)\/8)\/(14\/56). Let b = -2 + 4. Let r be ((-3)\/b*2)\/94. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -48*b + 46*b - 17 - 14 + 12. Let x(a) = a + 9. Let s(r) = -6*o(r) - 13*x(r). Determine s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m. Let z(y) = 11*y. Let p(o) = -7*x(o) - 2*z(o). Let i(l) be the second derivative of -17*l**3\/6 + l**2 + 3*l. Calculate p(i(k)).\nAnswer: 17*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 3*u + 6, -5*u + 8*u - 15 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -6. Let f be 2 + -1 - (12 + -23). Suppose f*o - 15 = 7*o. Solve 13 = -o*g - i, -z*i + 0 - 1 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15214542 rounded to three dps?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-481)\/37 + (-5)\/(-1) + 20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/4 + 25*q**3\/6 - 30*q**2. Let f be v(4). Let z be 119\/98 - 3\/2. What is the second smallest value in 2, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 10*g + 10. Let l be f(8). What are the prime factors of (-2)\/(-12) - 11\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -9 (c) 5080 (d) 0.2 (e) 10 (f) -0.2 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 55*r**2 + 13. Let s(o) = -7*o**2 - 22 - 4 + 30 + 25*o**2. Determine -2*d(m) + 7*s(m).\nAnswer: 16*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*534\/(-1344) + (-3)\/(-7) and 27\/(-32) - (-3)\/(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004406143947 rounded to six dps?\nAnswer: 0.004406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 3*g. Let p be y(-2). Let j be -3 - (-4)\/(3 - p). Let d = 173 - 167. Put -3, j, d in descending order.\nAnswer: d, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*s - j - 4, 0 = -4*s - 3*j + 21. Suppose 0 = 2*l + 3*x - 28, 24 = 2*l + 2*x + s*x. Let k(p) = -p - 1. Let i be k(-6). Solve -i*t + l = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75401 and 177.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -116. Calculate the lowest common multiple of u + 1 - 56\/(-4) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16826 + 45511. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*sqrt(125)*-2 + (sqrt(125) + sqrt(125) + -2)*3*-6)**2.\nAnswer: -18240*sqrt(5) + 289444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153603*k**3 - 27510?\nAnswer: -460809*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 395*i**4\/4 + 251*i**3\/3 - i**2\/2 + 511. Find the third derivative of s(u) wrt u.\nAnswer: 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681185801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 64 + 41. Let z be ((-18)\/15)\/(((-6)\/a)\/2). Let r be 6\/(3*(z - 5)). Solve -2*g - 16 = r*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 + m - 3. Let q(b) = -3*b - 6. Let u be q(-4). Let v be j(u). Suppose 31 + v = 2*n. Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 3)*(5*u - 2 + 2)*(0 + 4 - 1).\nAnswer: 105*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 3*g**2 + 8*g - 1. Let a(i) = 2*i**2 + i - 3*i**2 + 0*i**3 + i**3. Let v(h) = -5*a(h) + r(h). Let s = 0 + 3. Determine v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and (-144)\/(366\/42 - 9).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:21 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*v + 4*v. Suppose 523*z = 524*z - 5*x - 80, 122 = z + x. Calculate the remainder when z is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 4*i**2 + 15*i - 16*i - 3*i**2 - 3*i**2 + 4*i**2 + 0*i + 2*i**2 + 0*i + (-5*i + 4*i + 2*i)*(3*i - 3*i + 2*i).\nAnswer: 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6194475, -12388945, -18583413, -24777879, -30972343, -37166805?\nAnswer: -43361265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 307*f**2 + 24.\nAnswer: -307*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 240.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 304196*m\/7 + 86912.\nAnswer: 2*(m + 2)*(m + 152096)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**11*j*j\/(j\/j**(-3)*j) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -26 + 8 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 9. Suppose -3 + 78 = 5*w. Let z = -6 + w. Calculate the least common multiple of z and n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 0 + 0 + (1 + 2 - 4)*(1 + 2*j - 1) + j - j + j - 3*j - 3*j - j + (-2*j + 4*j - j)*(3 - 7 - 10).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 197321 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let d(v) = 2*v**2 - 58*v. Determine a(d(p)).\nAnswer: 4*p**4 - 232*p**3 + 3364*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17))**(1\/19) assuming x is positive.\nAnswer: x**(-2\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 8)*(15 + -14)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - -164 - (131 + -97)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 80920 = -2*x, -4*x - 17037 = 3*c - 77771. List the prime factors of c.\nAnswer: 2, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57.17967 kilograms?\nAnswer: 57179670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/9, -3\/5, -189, -0.1.\nAnswer: -189, -3\/5, -2\/9, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 9*y + 222 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-3)\/6)*-6. Sort -1, b, 1 in descending order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/22 + (-2009)\/(-1232) and 61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 13*y + 7. What is v(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*g = 0, -2*i = g - 4*g. Suppose 8*l + 4*j = 6*l - 12, i = -3*l - 2*j + 2. Suppose -20 = -l*c + 92. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (1 - -10 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132) - (sqrt(132) - -3*sqrt(132))) + sqrt(132))\/(2*(sqrt(12) + 4*sqrt(12)) - sqrt(12)).\nAnswer: 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*v - 24 - 24, -2*v - 4*t + 24 = 0. Suppose -5*w = 5*f - 35, 3*f - 65 = -2*f + 5*w. Is v at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14271.195282 to 1 decimal place.\nAnswer: 14271.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(102\/238 + 946\/(-2191)).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 12 - 12. Let i be z(-2). Solve 0 = -a + i*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 0*v = 1805. What is the lowest common multiple of v and 1?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4\/14) + -33 + 34. Let b be 41 + (0 - (s - -5)). Suppose 4*a - 1339 = -i, -5*a = 8*i - 4*i - 1660. What is the greatest common divisor of b and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -798*p**2. Let o(a) = -2*a**2 + 9*a - 9. Let z(h) = -h**2 + 6*h - 6. Let d(r) = 2*o(r) - 3*z(r). Determine k(d(q)).\nAnswer: -798*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o**2 - 2564*o + 9 + 2564*o in the form w*o**2 + i + m*o and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1834180 times 34\nAnswer: -62362120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, -2, 1 in ascending order.\nAnswer: -5, -2, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3855 - -12\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/11)\/(-1 - -3). Suppose u - i*u = -12. What is the remainder when 23 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -83. What is the greatest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*l + v = 3, 5*l = -4*v + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let p(v) = 1 - 3 + 1 + d*v + 12*v. Is p(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*w + 12, 2*w - 2*i + 6 = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*z + 3*z + 27, -5*s + 5 = -4*z. Let x(c) = 1 + c**2 - 185*c + 93*c + 93*c. Calculate x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 882, 1759, 2634, 3507, 4378, 5247, 6114?\n\"Answer: -c**2 + 880*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/5 + -19\/45. Which is greater: s or -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2 + 298*r - 200 wrt r?\nAnswer: 2*r + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -4, 3, -15, 24 in ascending order.\nAnswer: -15, -4, 3, 24, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -920074 divided by 8?\nAnswer: -460037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 7*b - 6. Let l be n(-1). Suppose 3*z + 3*a + 33 = 0, 3*z - 4*a + l = -7. Let u be (z + 5)\/3*4. Is -5 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) - -3*sqrt(550)*-5)\/(sqrt(539) - (sqrt(539) - sqrt(539)*2)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 3*j + 0*j)*(5*j - 4*j - 2*j) + 43*j**2 - 3*j**2 + 8*j**2 + j**2 + j**2 + j**2 + (-7*j - 1892 + 1892)*(-2 - j + 2) as g*j + s*j**2 + a and give s.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 40*y**2 + 39*y - 101. What is w(-41)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -23. Suppose 0 = 3*a - 3*j - 21, -9*j + 4*j = -2*a + r. Solve -2*t + a = -4*d + 1, 3*d + 12 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 52 + 608. Let k(x) = 3*x - 6. Let z be k(7). What is the greatest common factor of g and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 28 = -0*s. What is the nearest to 6 in s, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -32 + 48. Suppose 2*h - 12 = -q. Suppose -2*n + 7*w + 4 = 2*w, 0 = -3*w. Solve -h*g + 4 = n*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (0 - 3) + 12. Let t = k + -8. Suppose -o + u - 2 + 1 = 0, 5 = 4*o - u. Solve o*m - 3*c - 23 = 0, 0 = -t*m + 2*c - c + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.5963969941 and 2.\nAnswer: 4.5963969941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*z - 249 = 0, -z = -3*x - 5*z + 779. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h*l**3 - 62996*h*l - 1730454*h - 2*l**3 wrt l.\nAnswer: 9*h*l**2 - 62996*h - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 - 48*s**3 + 128*s**2 + 192*s - 576 = 0. Calculate s.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*((-173)\/(-20) + 370\/3700).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(2\/2))\/((-5)\/175). Let z = x - -368. Let k = -7 - -12. Solve 0 = 5*b - 3*b - 6, m - k*b + z = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.10525 + -0.00525. Let v = -6.96 - 0.04. What is the biggest value in v, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 135375 in ascending order.\nAnswer: 2, 3, 135375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4 + 30*x**3 - 57*x**2 + 28*x = 0.\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(128) - (0 + sqrt(128))) + 1*sqrt(4)\/sqrt(2) + -1)**2.\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28400 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 156494281.3 to the nearest 100000.\nAnswer: 156500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84700000 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let r(h) = 396*h**2 + 14*h - 4880. What is m(r(s))?\nAnswer: 792*s**2 + 28*s - 9760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/7, 1, -425?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -1\/20*v**5 + 1\/2*v**2 - 1\/3*v**3 - 1\/3*v**4 + 2 + 4*v. Let j(k) be the first derivative of d(k). Calculate j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, -3, 2\/9, 4\/3, -377785?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10*r*r*r\/r**(2\/17))\/((r*(r\/(r\/(r*r*r\/(((r*r*r**6)\/r)\/r))))\/r*r*r)\/r*r\/(r\/r**14*r)*r*r*r) assuming r is positive.\nAnswer: r**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463359859.\nAnswer: 19, 461, 52901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)\/5*(-200)\/(-48).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*r - 43. Let c be (-3)\/(-3 + 0) - -16. Let p = c - r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = 4*z, 0 = 4*g + 3*z + 1. Suppose -4*c = -4*d - 32, 7*d - 2*d + 36 = 4*c. Let b be -1*(78\/(-18) - d). Sort b, g, 2 in descending order.\nAnswer: 2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*h = -4*h + 2, 5 = -5*i - 5*h. Suppose -f - 319 = -0*o + i*o, 4*f - 344 = 3*o. Round o to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 22, 56, 108, 184, 290?\n\"Answer: g**3 + 15*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - 10\/(-1). Suppose 0*x + 2*x = n. Find the second derivative of 6*o**2 + 4*o - 3*o**x - 6*o**2 wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1))**(-41)\/(j**(3\/2))**(-5\/2))**(2\/17))**50 assuming j is positive.\nAnswer: j**(375\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -27, -74, -129, -186, -239?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/170 and 115\/6?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7595, -7249, -6903, -6551, -6187, -5805, -5399, -4963?\nAnswer: -4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020a (base 14) to base 13.\nAnswer: -14890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4 - 25\/4*k**2 - 5\/2*k = 0. Calculate k.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:31 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(34)\/sqrt(2) + -3)*5*5 - (sqrt(119) + sqrt(119)*-2*-1 + sqrt(119) + sqrt(119))\/(sqrt(70)\/(-2*sqrt(10))))**2.\nAnswer: -9000*sqrt(17) + 66826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8292 divided by 6\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25029 and 4131.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 4*s**2 + 2*s + 5. Let u be o(-4). Let a be 4\/(-26) - (-35)\/u. What is the closest to 1\/4 in -2, a, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-3))\/(300\/360). Let n = 4.6 + -4. Let x = 107\/3 + -36. Which is the closest to -1\/2? (a) z (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -18.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2151 - 1633. Calculate the greatest common divisor of 222 and y.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143103 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:18 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 3, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(sqrt(1584) + 0 + -2))**2 + 2 + 3.\nAnswer: -576*sqrt(11) + 14325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295 - -297. Determine l, given that -l**a + 3\/2*l - 1\/2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let w(m) be the first derivative of m**2 - 4*m + 6. Let n be w(8). Solve 4*l + n = -5*o, 5*l - 2 = z*l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 528*y**2 - 176*y**2 - 1 - 173*y**2 - 155*y - 177*y**2 + 2*y**3 to g*y + u*y**2 + z*y**3 + a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*p - 24, -9 = 3*p - 12*q + 15*q. Is p + -634*(-10)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**5 - j**5 + j**5)*(-135 + 558 + 104 + 117) - 3*j**5 + 9*j**5 - 4*j**5.\nAnswer: 1290*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 + 181. Let q(g) = 3*g + 51. Let n be q(y). Calculate the highest common divisor of 40 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-11))\/c**(-24))\/(c**(-33)\/c**(4\/21)))**24 assuming c is positive.\nAnswer: c**(7928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + -52. Let m = 128 + c. Let f = -1719\/7 + 245. Sort -0.5, m, f in decreasing order.\nAnswer: m, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:22 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*d - d - 39, 5*d - q - 65 = 0. Let p be -1 + -1*(-12)\/(-2). Let c = d + p. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/26, -5\/71, 2\/21 in decreasing order.\nAnswer: 3\/26, 2\/21, -5\/71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*j + 32, 2*k - 5*k + 27 = -3*j. Suppose 5*f - 9 = -k. Let w(s) = -2*s**2 + 2*s + 3. Let y(p) = p**2 - 1. Calculate f*w(q) + 4*y(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 + 87*q + 202. Give j(21).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10325?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-18) + (54272\/36)\/32 + -17. What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14755943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4180 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53387563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 2. Let u be o(-1). Suppose u*d - 3*y - 2*y - 1 = 0, -4*y + 4 = 0. Suppose 0 = -d*s - s + 96. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*-2)\/(17*8030\/(-14892)))\/(34\/11).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + c + 2. Suppose 34 = -7*w + 20. Give q(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0 + 0 + (1 + 2*i - 1)*(-3 + 4 - 2)*(15*i + 27*i - 11*i)*(-i + 0*i + 0*i).\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 2\/2 + (-4 - -12). Let y(s) = -s**2 + 16*s - 33. Determine y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(7*v - 4*v + 4*v)*(246*v + 243*v - 322*v**3 - 489*v) to z*v**4 + g + r*v**3 + c*v + p*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 111 = n, 582*n - o - 144 = 605*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-108 + 469 - 361) + (2 + -61 - (1 + -2))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 4. Let r be c(0). Suppose t = 5*k + 5, -6*t + 10 = 3*k - r*t. Solve -2*n + 5*n - 9 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -50664*c**2 - 303988*c - 24 = 0.\nAnswer: -6, -1\/12666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.03 (b) 0.4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250101 - 2?\nAnswer: 250055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27319 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000472 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 581*x**2 - 5 - 12*x**3 - 581*x**2 + 5.\nAnswer: -12*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 21*c + 144. Determine m(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2. Let k(a) = 24430*a**2 + 35. Give k(s(q)).\nAnswer: 219870*q**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1161, -4586, -10189, -17904, -27665, -39406, -53061?\nAnswer: -68564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071*v - 1015*v = 24472. Calculate the least common multiple of 322 and v.\nAnswer: 6118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 371*u + 1857. Let g be a(-5). Let -3\/4*x**5 + 6*x - 15\/4*x**4 - 21\/4*x**3 + 3 + 3\/4*x**g = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - c = -2*c - 3027, 2*b - 1218 = 4*c. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 8*f - 6. Let n be z(-7). Let c(v) = -v - 3. Let a be c(-8). Let k = a - n. Is k greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 2*o**2 - 2*o**2)*(3 - 5 + 0 + (-3 + 3 + 1)*(-2 - 2 + 3))*(-83 + 2*o - 37 + 29)*(-1 + 0 - 1) in the form k*o + q + x*o**3 + m*o**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 6*a - 48. What is n(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2. Let k(b) be the second derivative of -b**4\/6 + 28*b**2 + 39*b. Let d(o) be the first derivative of k(o). Give d(r(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*1 - sqrt(2) - (sqrt(10)*-1)\/sqrt(5))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - p + 2. Let g be i(-3). Let u be (180\/45)\/(2\/(-4)) + -66. Which is bigger: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/12)\/(114\/304). Which is the closest to f? (a) 0.01 (b) 0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6086 times -1.9?\nAnswer: -11563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4307886 = 4307884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11000000 (base 2) to base 8\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - -1 - -8 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 7*o + 8. Let t = -147 - -152. Suppose -t*p + 36 = 71. Calculate g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 5\/3*d**3 - 11 + 0*d**2. Let v(a) = -3*a**2. Calculate v(s(p)).\nAnswer: -75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:48 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (4 + -1 + sqrt(3))) + sqrt(300) + 1 - (-4*(sqrt(3) + 0 - sqrt(3)) - (1 + sqrt(3) + 5)))**2.\nAnswer: 88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8929679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 42*v + 3. Put -0.03, 0, v, 4 in decreasing order.\nAnswer: 4, 0, -0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.8 and 0.048?\nAnswer: -0.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from ucuccuxlccucenlunuuu.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 13\/(117\/(-6)). Solve 1\/3*d**2 - j + 0*d = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (57 + -63 + -29)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11281609 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 9*j = -175. Let y be 10\/(-4)*28\/j. Solve y*a + 2*a = 4*u + 16, 3*a = 2*u + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4529646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = -f, -5*f - 3*a - 2*a = 0. Suppose -3*w = -f*w + 32. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23622413, 94489654, 212601723, 377958620, 590560345, 850406898, 1157498279?\nAnswer: 1511834488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 10648*g**5\/3 - 166980*g**4 - 3306358*g**3\/3 - 2848349*g**2\/3 - 291158*g - 90895\/3 = 0.\nAnswer: -5, -7\/22, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*z**4 + 6163*z**3 + 53*z**2 - 4445168*z wrt z.\nAnswer: 948*z**2 + 36978*z + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 66?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 8*o. Which is the nearest to -0.1? (a) 3 (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.158292 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 + 3*b**3 + 9*b**2\/2 + 8*b + 4. Let n be q(-8). Solve r - 2*i - 4 = n, -3*r = 4*i + 3 - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1.9 (c) -9 (d) -2 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3, 4*a + 2*z = 5*a - 10. Suppose -3*t - 6*f - 579 = -3*f, 5*f = -4*t - 771. What is the common denominator of -65\/6 and t\/a*3\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 + -539. Let p = -256 - b. Is p at least as big as -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**3 - 1 - g**3 - 6*g**3)*(19*g + 15*g - g) - 2*g**4 + g**4 - g**4 as t*g**4 + a*g + b + k*g**3 + s*g**2 and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28397654651 - 65594?\nAnswer: -28397720245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/40749 and -79\/59925?\nAnswer: 1018725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (66\/4)\/(33\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let u(r) = -60*r**2 - 162*r**2 - 4*r**2. What is x(u(o))?\nAnswer: 51076*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3645, -14676, -33061, -58800?\n\"Answer: -3677*y**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*c - 27 = 0, 0 = -13*l + 9*l + 5*c + 21 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*s**3*t**2 + 4*s**3*t + s*t**2 + 10411271*s + 1268144*t**2 + 3*t wrt t.\nAnswer: 36*s**3 + 2*s + 2536288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x - 90. Let r be 21\/x - 3\/(-9). Let i = 85 - 83. Which is the third smallest value? (a) -0.3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/13 or -954?\nAnswer: -954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3273.29985671 - 3273.3. Round c to 6 decimal places.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:09 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254657, 509399, 764141, 1018883, 1273625, 1528367?\nAnswer: 1783109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - (19 + (-1617)\/84). Sort -9, x, 12, -2 in descending order.\nAnswer: 12, x, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - 2*q**3 + q - 365. Give s(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6*c - 2. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 3061 = 38*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)*i*i**(-1\/2)*((i\/(i**(-3\/2)*i))\/i)**17 assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 371*6\/(-21)*-1. Let a = p - 64. Calculate the common denominator of 2\/19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3*1)\/(959\/(-274)))\/(81\/(-42))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 0*z)*(31*z**3 - 6*z**3 - 12*z**3).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 14*s**2 - 15*s - 18. Let h be x(-13). Let k = h - 8. Let u be k*(22\/(-6) + 4). Solve -5*i - l - 15 = u, 0*i - 21 = 3*i + 3*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7208 + -7206. Let l(o) be the first derivative of 19 - 2\/5*o**5 - 2*o**2 + o**4 + g*o + 0*o**3. Factor l(j).\nAnswer: -2*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u**2 + 28*u**2 - 2*u**3 - 17 + 39 - 22 to the form y*u**3 + c*u + n + g*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c + 1. Suppose -5*u + 30 = l, -55 = 2*u - 7*u + 4*l. Suppose -3*j = g - u - 13, -5 = -g. Suppose -j = -7*p + 2. Determine v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2187) - sqrt(2187) - sqrt(2187))*6 - 4*(-2*sqrt(2187) + sqrt(2187)))\/(3*sqrt(9)*-3 + sqrt(324)*-2).\nAnswer: 60*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6330609, -6330610, -6330613, -6330618?\nAnswer: -6330625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -17*q**2\/2 + 1. Let u(o) be the second derivative of 2*o**3\/3 + 26486*o. What is u(a(f))?\nAnswer: -68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 244, 481, 670, 793, 832, 769?\n\"Answer: -3*b**3 - 6*b**2 + 276*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {z: 1, d: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from nsrnssnnsrnnnsnnrrsn.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpz when three letters picked without replacement from kgpzdpv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by -6.\nAnswer: -170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102291 is divided by 33973?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(48) - sqrt(117)\/(-2*sqrt(9)) - ((-4 + sqrt(26)\/sqrt(2) + (sqrt(156) + 2*sqrt(156))\/sqrt(12))**2 + -5).\nAnswer: -219 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3 - 1) + 510887\/39. What is p rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/(-5)*1010\/1312. Let u = -12\/41 + d. Find the common denominator of u and 0 + 2 - ((-339)\/30)\/(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -849*t - 505*t - 207*t - t**2 + 5228*t**3 wrt t?\nAnswer: 31368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125232 and 4?\nAnswer: -500928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17622281 to 3 dps.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -4 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11c544 (base 14) in base 16?\nAnswer: 94fa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) - 1*sqrt(72)) + 5 + (2*sqrt(72)*-3 - ((sqrt(72) + -1)*-1 + sqrt(72))) + 2)**2.\nAnswer: -216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -192040.60489 less than -20.58?\nAnswer: 192020.02489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -27 in ascending order.\nAnswer: -27, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189865)\/(-6604)*(3\/4)\/(60\/(-32)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1556502921 + 12*t**3 - 1556502922 + 3113005843.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 162. Let b = o - 117. Let m = b + -50. Solve 5*k - 1 = -m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 387456972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 + 57*o + 1. Let i(d) = 8*d**2 + 2*d. Calculate i(l) + n(l).\nAnswer: 16*l**2 + 59*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510711232*a**2 + 43*a - 2392880.\nAnswer: 1021422464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187471800 to the nearest 100000.\nAnswer: -1187500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggewegggeee. Give prob of sequence eg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*u - 5 = -4, u - 7 = -4*w. Let n be 0 - ((-2 - -3) + -3). Differentiate 1 - 4 + x**4 - 2*x**n + 2*x**w with respect to x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3390 and 780830?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 77777*z**2 + 5*z + 18. Let j be a(9). Suppose j = -13*t + t. Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -345, 18, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/7 - 969*v**3 + 194346*v**2\/7 - 361584*v\/7 = 0. Calculate v.\nAnswer: 0, 2, 27, 2232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 30\/11, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*24\/(-9). Let d = w - -6. Suppose 0 + 2 = d*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2880 + 501 = 0. Suppose -p - 12*p + o = 0. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 387, 3, 10, -0.5 in ascending order.\nAnswer: -25, -0.5, 3, 10, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:45 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + 2*o**4 - 3*o**4 + (2*o**2 + 2*o**2 - 3*o**2)*(-7545 + 3776 + 3769 + 2719*o**2) in the form y*o**4 + b*o + a*o**3 + r*o**2 + f and give y.\nAnswer: 2720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((18\/(-81) - 114\/(-27))*(-9)\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*s - 0*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 158844250, 317688505, 476532760, 635377015?\n\"Answer: 158844255*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -15620, 43, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/27 and -83\/276?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10302 + 10?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 - 16. Let x(g) = -g**3 + 3. Give 2*m(u) + 11*x(u).\nAnswer: -u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -9 (c) -3 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 7*m. Let z be p(3). Sort -2, -11, z, -1 in ascending order.\nAnswer: -11, z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, o: 1}. Give prob of sequence nnnn.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -18 + -18 + 51 - (-2 + 0 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1590 + 2734. List the prime factors of o.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in -10, 2\/5, 1, -2\/7, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 + 6*k**2 - 9*k - 4. Let r be l(5). Let p = -65 - r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 248681\/5007 + -53 + 1\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + 5, i = -2*r + 11. Let w = 299 - 299. Suppose 36 = 3*u - w*u + 3*v, 0 = -i*u - v + 40. Calculate the remainder when 81 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3*f**3*r**2 - 5*b**3*f**3 - 144*b**3*f*r**2 + 45*b**2*f**3*r - b*f*r + r wrt r?\nAnswer: 56*b**3*f**3 - 288*b**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*n = -28, 5*t + 2 + 84 = 11*n - 66 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 1475750729?\nAnswer: 1475750729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225738 is divided by 75235?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 + 13*o**3\/3 - 13*o**2\/2 + 29*o + 7. List the prime factors of y(-14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q - 26. Let t be 10*(36\/10)\/6. Let u be p(t). Let v be (-42)\/u + (-4 - -8). What is the smallest value in -0.3, 0.4, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*s + 319 + 62, -5*i - 4*s + 1923 = 0. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + 9)\/((5 + 3)\/4). Suppose 0 = f*s - 74 - 86. Calculate the remainder when 90 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205950989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 8. Suppose -2*t + 3*b = -0*t - 19, 3*t - 2*b - 16 = x. What is the second derivative of 3*q - 2*q + t*q - q**5 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11336 divided by 26\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - j**2 - j + 1. Let v be p(-1). Suppose -v*d - 17*i + 15*i = -62, 4*i = -5*d + 79. Solve 20*b - d*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-40) - -7 - (-117)\/810?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13168 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) + -2))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.1 - 12.6. Let p(d) = -d**2 - d + 1. Let l be p(0). Which is the nearest to 1\/10? (a) l (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13*h - 337. Let w be k(27). Suppose 1672 + 428 = w*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1699*t**4\/6 - 3589*t**3\/6 - 24*t**2 + 106*t. What is the first derivative of b(u) wrt u?\nAnswer: 6796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 42*j + 204 + 374 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -328295 at least -3611254\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*r**4 + 147*r**4 + 8284274*r - 8284275*r + r**3 to the form o*r**2 + u*r + z*r**3 + l + b*r**4 and give b.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 357050 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*((v*v**(-6))\/v)\/v)\/(v\/(v*v**(-2\/7))))\/(v**(-2)*v*v*v**(-3\/4)))**(-1\/77) assuming v is positive.\nAnswer: v**(155\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153748 and 6384.\nAnswer: 1844976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 190787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 86, 93, 114, 155, 222, 321, 458, 639?\n\"Answer: b**3 + b**2 - 3*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/3)\/(-2) - (-36 - 279\/(-9))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(320) + sqrt(320))**2.\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 56 = 5*w + 4*v, 2*v - 4 = 0. Let y(h) be the first derivative of -5 + w - 2 + 3*h**3. Let d(l) = l. Determine d(y(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:41 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.1 + 15.1. What is the fourth biggest value in 5, q, 3, 97?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:40 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78554 divided by -2\nAnswer: 39277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from jppqqfjpwwqtwfptpjf?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 277? (a) -14 (b) 1\/5 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.478 not equal to -3977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*x**2 + 552*x**2 - 94*x**2 + 366*x**2.\nAnswer: 1372*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 1, -2\/9, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l = 340. Let h = 86 + l. Is h equal to 6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20559.62 centuries in millennia?\nAnswer: 2055.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/4 (c) 1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 + 6*r - 2. Suppose 18 = -18*c + 21*c. Suppose m + 2 = c. Is u(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 4569*j**2 - 5239440*j - 46785600.\nAnswer: -(j + 9)*(j + 2280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 - 1*-36). Let i = a - 2. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 25 - 16*w**4)*(-35 + 15 - 39) as c*w + x*w**4 + n*w**3 + r + t*w**2 and give x.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118328 + -118322.7407. Let p = a - -0.0407. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.9 - -52. Let x = -6.53 + 0.53. Let u = x - -31. Sort u, j, -1\/7 in ascending order.\nAnswer: -1\/7, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**2 + 0*u**3 - 1\/25*u**5 + 0 - 4*u - 1\/5*u**4. Find d such that k(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10087936 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:42 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 - 2*n. Let q be l(-3). Let f(s) = -7*s**2 - 12. Let t be f(q). Let j = -79 - t. Which is the smallest value? (a) j (b) 12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -34.4. What is the fourth smallest value in 2\/25, -11, c, -3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336964970 to the power of 1\/3, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5940, 5932, 5920, 5904, 5884?\nAnswer: 5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -66396526 divided by -119\nAnswer: 557954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*h - u, 0*h + 5*u + 7 = h. Let r(v) = -2*v + h + 2 - v - 3. List the prime factors of r(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*(-1)\/2. Let n = 0.441 + -0.001. Let c = 0.24 - n. What is the biggest value in c, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257 and 81212.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/60 - 7*m**2 + 69*m. Let u(d) = 1180*d. Calculate p(u(l)).\nAnswer: -1392400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 75, 4, 195, 6, -92 in ascending order.\nAnswer: -92, 0, 4, 6, 75, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122728 by -6.\nAnswer: -61364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2\/7 (c) 2\/59 (d) 0.3 (e) 2\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 2. Let c(d) = 5. Let n(w) = 2*c(w) - 5*v(w). Let z(h) = 392*h**2 + 404*h**2 - 789*h**2. Calculate n(z(g)).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + -2?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 + -143.5. Let k = 2\/15 - 53\/60. Which is the third smallest value? (a) k (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 505 = -3*t, -3*o = -118*t + 114*t + 669. What is the highest common factor of t and 5460?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(20) - 4*sqrt(20)*-2) + sqrt(20))\/sqrt(10))**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 + m - 4*m + m**2 + 4*m. Let h be i(0). Let j be -4*((-7)\/h)\/7. Solve 8 = x - 3*g + j, -g = -5*x + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1558 - -1558.2462. Let c = -6.25 + 6. Let v = c + s. What is v rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 41.5163, -5.\nAnswer: -5, -1\/2, 41.5163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6561045*u**3 + 81269 wrt u.\nAnswer: -19683135*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 1894?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.11103 months in years?\nAnswer: 4.2592525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5954793?\nAnswer: 3, 13, 179, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 9*a + 34. What is y(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 5 + 6 + 0 - 3*h wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-8) - 95\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.275, 0.1, -2.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 2 + 0*l**2 + 0*l**2 + 2*l**3 - l**2 as k*l**2 + i + n*l**3 + d*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -915*j + 26991. Calculate w(30).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 407 (b) 7\/6 (c) -2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39272062?\nAnswer: 2, 439, 44729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 15*j + 13. Let b be t(16). Let o be b\/(((-81)\/(-6))\/(-9)). Sort -2\/9, 2\/5, o, 5 in ascending order.\nAnswer: -2\/9, 2\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1930*o - 108157. What is i(-57)?\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 23*u - 20. Does 12 divide m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85450*s**2*v + 2*s**2 - 84500*s with respect to v.\nAnswer: 85450*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = 9*x + 6*x + 153. What is the nearest to x in -0.2, -4, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -679 + 4?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-81))\/((-2)\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207296 divided by 103648.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2953416*k**2 - k + 446720.\nAnswer: 5906832*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + n + 11. Calculate y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*n*p*s**2 - 2*n*p - n*s**2 - 2*n*s + 19829*n + 329*p*s**2 + p + 3*s**2 wrt p.\nAnswer: 83*n*s**2 - 2*n + 329*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - -20. Suppose -2*f - 11 = -p. Let j = 37 - f. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49ad53 (base 14) to base 15.\nAnswer: -34db86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22617841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.43067 years?\nAnswer: 0.0143067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - -1 - (153 - 142).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79695.\nAnswer: 3, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 5601844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82124, -82139, -82164, -82199, -82244, -82299, -82364?\n\"Answer: -5*d**2 - 82119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 0, -2\/6423, 0.06 in increasing order.\nAnswer: -2\/6423, 0, 0.06, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208106 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73395 by 8155.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 2*z**2 + 3*z + 3. Suppose -h - 7 = -2*h. Let a = h - 9. Calculate j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77493 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2, 5*a = -i + 41 - 0. Solve 3*f + a = -5*s, 3*s - 4 + 12 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12036 is divided by 984?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -24 + 32 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*y + r, 0 = -5*y + 2*y - 4*r + 20. Suppose y = -5*h + 14 + 26. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -922*v**2 + 456*v**2 + 374*v**2. Let q(b) = 2*b**2. Give q(s(t)).\nAnswer: 16928*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1216\/121600*(-2 + -22).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1379 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 52. Let i be (-15 - -13)*2\/(4\/h). Solve -5*q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = 21. Let v be ((-9)\/6)\/((-9)\/d). What is the third biggest value in -0.3, 0.5, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 - -31094\nAnswer: 31093.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 232875. Suppose 5*r = -0*r + d. Suppose 15 = -3*w - 0*w, -3*w - r = -3*l. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 = 44*y - 48 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 14*p**2 + 156*p + 4. Let v be a(6). Suppose 0 = -5*l + 24 + 101. Find the third derivative of -7*k - l*k**2 - 20*k**v + k + 6*k wrt k.\nAnswer: -480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuuuuwuuu. Give prob of sequence wu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6660, -26557, -59682, -106029, -165592, -238365?\nAnswer: -324342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -45*p + 800. Let j be b(17). Solve -j = -11*v - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 56*g - 14. Give y(25).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.44 + -0.24. Let a = o + -19.099. Round a to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 99*q + 1. Let w be k(2). Find the second derivative of 5*i**4 + w*i + i**5 - 5*i**4 - 1 - 207*i wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 26. What is the closest to -1 in 0.3, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 4. Give i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - 98)\/(7\/70*2\/5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -18 + r + 7\/2*r**2 + 1\/3*r**3. Determine s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7289 and 0.3.\nAnswer: 2186.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16b0169 (base 12) to base 11.\nAnswer: 2725731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2 - 364*g + 361*g - g**4 + 10*g**3 - g**2 - 7*g**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239769370 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553.477 times -0.278?\nAnswer: -709.866606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (24 + -9 + -14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1806 - 1920 = 0. Which is the third smallest value? (a) -4 (b) 1 (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 91*n - 49. Let v = 19 + -15. Let m(s) = -45*s + 24. Let g(h) = v*r(h) + 9*m(h). Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111212 (base 3) in base 15?\nAnswer: -12ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1533 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0092 (b) -41 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -313391.383 to the nearest 1000.\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*(u**(-2\/43)\/u)\/u*u**(-9)*(u*u*u**(-19))\/u assuming u is positive.\nAnswer: u**(-1421\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56, -2 in decreasing order.\nAnswer: 56, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 + 5 = 0. Solve 8 = -l*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - 6 - (-56)\/(-2). Let a = m - -32. Let k(x) = x**2 - 7*x + 2. What is k(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -18. Let g = -501 - -216. Let k = -265 - g. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 0 + 4 + 2*d**3 + 2 - 3 in the form i + l*d**3 + u*d**2 + c*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 <= 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -70238 (base 9) to base 13\nAnswer: -17cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwbwww. What is prob of sequence bww?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814 is divided by (-249830)\/(-1909) + (-15)\/(-115).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 9*p = 36 + 168 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 1\/5*y**5 + 0*y + 7\/3*y**3 + 14 + 3\/2*y**4 - 1\/12*y**6 + 5\/4*y**2. Factor a(h).\nAnswer: -h*(h - 5)*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*l**2 - 30*l**2 + 46*l**2 + 1557*l - 90*l**2 - 21 - 21.\nAnswer: -3*(l - 14)*(37*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u - 3. Give k(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 x when four letters picked without replacement from {u: 1, j: 2, x: 11}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + -5 + -1*(sqrt(343) + (sqrt(343) - (sqrt(343) + 3*sqrt(343)))))**2.\nAnswer: -112*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 231\/16940*264 + (-157)\/(-5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 4*y + 4. Let c = 1452 + -1443. Calculate the remainder when t(5) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 21 = 0, 182*m = -i + 177*m + 259056. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*m - 11, 2*o + 7 = -m + 8. Find the common denominator of 32\/3 and o\/(-29) - 388\/(-8990).\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 79*s**4\/12 - s - 3. Let j(k) = k**2. Determine j(g(d)).\nAnswer: 6241*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4*v - 3. Determine s(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16481*x + 39360 = -15866*x for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 133*i - 637. Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:47 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008144 rounded to the nearest ten thousand?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -397?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -1\/4, -503, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 83 = 2*z - 325, 204 = z + 4*t. Is z greater than 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - -5.03. Let s = u + -5.3. Let d = s - -0.4. Sort d, -1, -3 in increasing order.\nAnswer: -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268? (a) -7 (b) -2\/13 (c) 5 (d) -0.122 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3759013718 and -0.5.\nAnswer: 3759013717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18218244977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*c - 8206 = 1839 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + -1)*(1 + -2). Let w = a + -1. Suppose -14 = -5*b + w*b. What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612078, 1224165, 1836252, 2448339, 3060426, 3672513?\nAnswer: 4284600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.6 and -0.4.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-11)*w)\/w)\/w**(-3\/4))**(-28\/3) assuming w is positive.\nAnswer: w**(287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**2 + 2*x**2 + 962 - 485 - 475 - 226*x - 111*x**5 - 68*x**5 wrt x.\nAnswer: -3580*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177084 and 150.\nAnswer: 4427100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*q - 15115, 5*l - 6*q + 3*q = 25213. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.99 + 3. Let y = s - 0.41. Let b = -0.4 - y. What is the second smallest value in b, 3\/2, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5572?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let f(w) = w. Give -3*f(n) - 2*t(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276.9651 - 277. What is o rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 2. Let s(g) = 3*g + 7. Let a = -21 - -36. Suppose -r + 2 = o, 4*r = 3*o - 8*o + a. What is o*i(y) - 2*s(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -30*n**3 + 2*n**2 + 2*n + 1. Suppose -3*o + 6*o = -3. Is m(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -42 (c) -0.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*t + 26, -80*j + 78*j = t + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12952.0578 to the nearest 10.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 4. Suppose 2*n - 6*n = 4*o - 16, -11 = -5*n + a*o. Let c(m) = -2*m**2 + n + 0*m + 3*m**3 - 2*m**3 - 2*m. Calculate c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from yfdddydfyadfyfyfy.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - (-10)\/(-6). Let n(t) be the second derivative of t**4\/12 + t**3\/2 - 5*t**2 + 13*t. Let d be n(-5). Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16896, -16898, -16900?\nAnswer: -16902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/360 - k**5\/20 + 7*k**4\/24 + 2*k**3\/3 + 2. Let y(j) be the third derivative of s(j). Is y(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 6*z - 6. Let t(w) = 3*w**2 + w + 3. Let j(f) = 10*f**2 + 4*f + 10. Let h(o) = 2*j(o) - 7*t(o). Determine -a(n) + 6*h(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i + 2*i + 7973. Suppose -15*f + i = -8*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-10) - (-252 + 250). Which is the third biggest value? (a) 3 (b) -49 (c) -165\/8 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41467.86 millimeters?\nAnswer: 4146.786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37221\/18 + 1\/6. Let z = l - 10386\/5. Let r = -199\/20 - z. Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 86, 118, 150, 182?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, -1\/10, -0.4 in descending order.\nAnswer: -1\/10, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2\/2 + 788*q. What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3786.\nAnswer: -1\/1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8319130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 626169, 1252373, 1878577?\n\"Answer: 626204*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + q + 3*q + 152, -5*r - q = -220. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2091023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-57))\/((-21)\/(-63)) + 1594922\/133.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-14)\/((-196)\/(-14)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 106*b**3 + 3*b**2 - 3*b. Let j(a) = 15792*a**3 + 448*a**2 - 448*a. What is 3*j(m) - 448*t(m)?\nAnswer: -112*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.99 - -0.39. Let c = a + 7.9. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:02 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 19 + -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*u - 6, 70*u + 27 = 72*u + 5*n for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -29*v**4\/48 - 165*v**3\/8 - 17*v**2\/4 - 418*v - 4. Factor i(s).\nAnswer: -(s + 17)*(29*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30156 + -49365336\/1637. Do h and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86832 and 202809?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:14 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10365 + -10316. Calculate the remainder when 10924 is divided by t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -19*x**2 - 308*x + 257. Give u(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Which is the nearest to -1? (a) -1\/2 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-5))*p*p\/p**(-9)*p)\/((p*p\/p**(-1)*p*p)\/(p*(p**7*p)\/p*p)) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5 - -3)\/2)\/(1 - 0). What is the least common multiple of 6 and ((-2)\/(-4) + q)\/(4\/(-96))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005879806841 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -14467.\nAnswer: -14467.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 1. Let p(u) = -2*u + 2. Let t(s) = -9*j(s) - 4*p(s). Let g(q) = -q**2 + 2*q - 4. Let m(d) = -g(d) - 2*t(d). Differentiate m(z) with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42730*z = -42687*z + 1290 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 + 7*y + 1. What is the units digit of z(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173208469 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169*h**2 - 199*h.\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1858869.8 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36795960 divided by 1720.\nAnswer: -21393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94\/3 - -98\/3. Let j = -12 + 17. Let u = -8 - -8. What is the nearest to -2\/11 in r, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114)*2 - sqrt(114))\/(sqrt(18)\/sqrt(3)*-3))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = j. Let r be 217\/56 - (-1)\/8. Suppose -5*q + 60 = r*y, 0 = 4*q + 2*y + 3*y - 57. Calculate the smallest common multiple of q and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4460 and -0.2.\nAnswer: -4460.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 4. Let n(q) be the first derivative of q**3\/2 - 9*q**2\/2 + 126*q - 183. Let f(z) be the first derivative of n(z). Calculate -4*f(v) + 9*g(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00171 and 64.\nAnswer: 0.10944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 453805599 > 453805595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362 + -355. Let s be z\/(-3) + (-372)\/(-9). Let r = -70 + 343. What is the greatest common factor of s and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-5))\/(2\/16). Solve -4*y + 5 = -5*h - 0*h, 0 = -h - y + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 17 + 74 = 0. Let g(h) = h + 1. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = o - 5, 4*o + o - 3 = w. Let a be 10 + o*9\/(-3). Let y(s) = -s**3 + 8*s**2 - 4*s - 5. What is the tens digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, -146, -253, -404, -605?\n\"Answer: -b**3 - 13*b**2 - 23*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r - 3. Calculate the common denominator of ((-328)\/(-6))\/r - (-1)\/1 and (-16)\/3 - (-6)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6964228, -6964234, -6964240, -6964246?\n\"Answer: -6*c - 6964222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**6\/6 + 3*p**2\/2 - 9. Find the second derivative of z(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-2)\/(36\/(-6)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 27*b - 17. List the prime factors of u(-18).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*m + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4300 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12372*a - 74190. Calculate i(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/4)\/(69\/(-2) - -35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + h**2 + 2*h + 1. Let t be p(-1). Suppose -t*c + 50 = -12. Suppose 2*k = 5*m - c, 4*k - 8 = -4*m - 0*k. Is m less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3588*v - 49438. What is w(-14)?\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1947\/707059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -139. What is the third smallest value in -1, -2, q, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -276.8.\nAnswer: -260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26599?\nAnswer: 67, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/5)\/(3 - (-204)\/(-120)). Let v = 43 + -39.2. Let w = -4 + v. What is the fourth biggest value in 3\/2, w, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q + 4*t - 152 = 108*q, -767 = -0*q - 22*q + t for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose -o - o - 6 = t. Let p(u) = -u**3 + 2*u**2 + u + 4. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4405 - 2?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -295*x - 1974. Let z be d(-7). Solve -6*r + z = 55 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose h*m = 8 + 56. Suppose 2*n + 0*b = 2*b + m, -b = n - 6. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -5*y**7\/231 + 8*y**6\/165 + 19*y**5\/110 - 17*y**4\/33 + 4*y**3\/33 + 8*y**2\/11 - y - 18. Suppose q(j) = 0. What is j?\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 + 6*o**2 + 15473*o - 15492*o + 2*o**3 to the form k*o**3 + c*o**2 + p + q*o and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/15*10\/4. Suppose -2*z + l*z + 42 = 0. Is z*((-12)\/(-9))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*w - 4141 = -225*w + 11639 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*j - 1101 = -12*j, -3*b + 4*j = -3335. What is the remainder when b is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 69*q**3 - 2*q**2 - 22*q + 2998. Let p(y) = -y**2 - 2*y + 1. Let r(a) = -h(a) + 4*p(a). What is the derivative of r(x) wrt x?\nAnswer: -207*x**2 - 4*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*l*w**5 - 17*l*w**3 + 6*l*w - 114*l wrt w.\nAnswer: 2240*l*w**3 - 102*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44297, -88676, -133057, -177440, -221825, -266212?\nAnswer: -310601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9289, 18579, 27869, 37159?\nAnswer: 46449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 93 + 7*a**2 - 356 + 88 + 88 - 3*a**3 to the form c + w*a**3 + b*a**2 + n*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 124*v**5\/15 + 786*v**4\/5 + 9958*v**3\/15 - 816*v**2 - 40*v\/3 = 0. What is v?\nAnswer: -10, -1\/62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 4, 0, -2\/9, -32, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8845*y + 3601. Is 144 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 + -6116719?\nAnswer: -6116812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 less than -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 845 + -845.0629. Let c = 5.0499 + g. Let u = 0.087 - c. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20264989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 310.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25087 from -7570529.\nAnswer: -7595616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -90. Suppose -3*h + 5*y = s, y - 8 = -3*y. Suppose 0*f + h*f = 388. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 4*p - 8, -2*p + 2 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38\/13, -3, -0.03317, -5?\nAnswer: -0.03317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 3) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27285234.7 and 4?\nAnswer: 109140938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 5 (b) -3\/4 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 - 41*n**2 + 425*n - 10. Let w(v) = -6*v**3 + 40*v**2 - 340*v + 10. Let i(g) = -4*d(g) - 5*w(g). Give i(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3987 (base 11) to base 9.\nAnswer: 7082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2422*b - 784788. Calculate f(324).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 + 4. Put 5, u, -3 in decreasing order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*u + 29*u - 24*u)*(-4 + 4 - 2)*(19*u - 3*u + 9*u).\nAnswer: 900*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -168, 4, 2\/7, 1304, 1 in ascending order.\nAnswer: -168, 0.2, 2\/7, 1, 4, 1304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34308171581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 2*b + 8. Let t = -13 + 17. What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.5355l to millilitres.\nAnswer: 273535.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**2))\/s**(-7))\/(s*(s*(s**(-1\/5)*s)\/s)\/s*s*s**4))\/(s*s**(-7)*s*s\/(s**(-3\/7)\/s)*(s**(-3\/2)*s)\/(s\/(s**(-4\/5)\/s))) assuming s is positive.\nAnswer: s**(127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5911 + 21328. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/(4\/(-6 - -10)). Does g = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2247199369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 26*h**2 + h + 19. What is the least common multiple of f(26) and (-20)\/(-8)*132\/10?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -139a1?\nAnswer: 139a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 64, 81?\n\"Answer: 17*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58829886 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14142 and 24?\nAnswer: 56568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4903?\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 4*i + 5. Let v be k(-4). Differentiate -s**4 + 9*s**4 + 11 + v*s**4 - 12 with respect to s.\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2055830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65) + 2*sqrt(65) + sqrt(65) + sqrt(65)))) + sqrt(65)))\/(-6*sqrt(45)).\nAnswer: -7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + 10?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/(-475)*-5 - 2\/(-19). Let n = 2.3 + -2. What is the third biggest value in i, -2\/3, n, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 7 (c) -428 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttk when three letters picked without replacement from wpkjtwpbt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.6 + 5.2. Let r = g - -3.9. Suppose -4*u = -a + 6, 2*u + 1 = a + 3*u. Sort r, -2, a.\nAnswer: -2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/318 and 37\/198.\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 40, 116, 262, 502, 860, 1360, 2026?\n\"Answer: 4*s**3 - s**2 + 5*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2293 * 4.326.\nAnswer: -9919.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -357, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -5, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 16 = -5*c + 5*g, -c = -4*g + 17. Let s(y) = -123*y**3 - 2*y**2 - 3*y - 1. Is 12 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:47 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + (4 - 11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 9*o + 58, 3*p + 64 = 4*o + 170 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 less than or equal to -466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:36 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14917*o + 11202674. Give v(751).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, 2, -2\/13?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.649 from -650.\nAnswer: -645.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 12*t - 14*t + 57 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1620444 - 72?\nAnswer: 1620372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2. Let g(o) be the first derivative of 240 - 12*o**3 + 245 - 516. Calculate z(g(b)).\nAnswer: -1296*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2123*m + 1477*m + 406 = -156836 - 76758 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.312908km to centimeters.\nAnswer: 731290.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {l: 1, r: 1, w: 1, a: 1, h: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2966 - -9938. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 3*v - 3. Let a be n(-4). Let k = a + 16. Suppose -3*b - x = k - 33, 4*x = -4*b + 40. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1 - (3 + (-1 - 49))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193219, 386509, 579799, 773089, 966379, 1159669?\nAnswer: 1352959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 18. Which is the nearest to 0.1? (a) -0.4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-576)\/382 - (-3)\/2. Let m = d - 1501\/3438. Suppose -14 = 44*q + 30. Which is the third biggest value? (a) m (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = 4. Let f(q) = 6*q**2 + 2*q - 2. What is the remainder when 49 is divided by f(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5\/3 - 2050*q**4\/3 - 989648*q**3\/3 + 6496232*q**2\/3 - 11023232*q\/3 + 4011392\/3 = 0. What is q?\nAnswer: -308, 1\/2, 2, 4, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5)*i**(-20))\/((i**(1\/5)\/i)\/(i*i**(-1)*i)))**48 assuming i is positive.\nAnswer: i**(-4416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(204)\/((sqrt(72)*5)\/sqrt(6)) - -1*sqrt(187)\/(sqrt(11) - 2*sqrt(1331))).\nAnswer: -58*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145690*k**5 - 57273*k**2.\nAnswer: 8741400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -990 + 989.9. Put 3, 14\/3, y, -1 in increasing order.\nAnswer: -1, y, 3, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 9, -68, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111010111100100100110001?\nAnswer: -111010111100100100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1116*m - 4038 + 2033 + 1999)*(-3*m + 4*m + 0*m) in the form o + y*m + k*m**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 15. Let s be u(0). Suppose 3*a - 4 + 1 = 0, -5*a = 5*w + s. Let f = 1 - 2. Put 4, f, w in decreasing order.\nAnswer: 4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37740 from -3.\nAnswer: -37743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/30 + 5*q**4\/24 - q**3\/2 + q**2. Let w = 112 - 116. What are the prime factors of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 3, v: 3, a: 1, z: 1}. What is prob of sequence bvb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 9*z - 10. Let k be 4\/(-8)*14\/(-1). Let g be q(k). Suppose -2*u = -g*u + 56. What is the remainder when u is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64388, -128796, -193202, -257606, -322008, -386408?\nAnswer: -450806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379533144?\nAnswer: 2, 3, 1213, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + 0. Let r be -4 + 1810\/(-8) - 5\/(-20). Let k = r - -235. Which is the biggest value? (a) 2 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275 - (0 - 0\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*a + 827393526 - 827393526.\nAnswer: 220*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 274 + 199*n)*(0 + 2 - 3)*(2 - 2 - 2).\nAnswer: 398*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435044 is divided by 6239.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -40, 6 in ascending order.\nAnswer: -40, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 6*x**2 + 2*x**2 - 159*x + 9*x**3.\nAnswer: 9*x**3 - 159*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 + 22*v - 74. What is the least common multiple of l(5) and 8014?\nAnswer: 88154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - -0.6. Let w = u + 0. Let m = 4.96 - -0.04. What is the biggest value in m, w, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 3*n**2 + 10. Let h be g(5). Calculate the greatest common divisor of 12 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/225*5)\/((-85)\/425)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*r - 211 - 569 = -262 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5201 (base 11) to base 10.\nAnswer: -6898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*g + 980*g - 4 + 4 + 982*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46017579 to the power of 1\/2, to the nearest integer?\nAnswer: 6784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*j + 11451 = 28313 + 57310 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 11. Let d = 7 - 15. Let c = d - -5. What is the smallest value in c, n, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84 - (23 - (12 + (-33 - -22 - -4)))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (1241\/153 - 15)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 + 1 - 5 + 2*c**2 + 1 + c**2 to the form w*c**2 + q*c**4 + h*c**3 + a + m*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.52, -11, -7, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, -2, 2 in descending order.\nAnswer: 3, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 8 - 17*w + 1\/3*w**3 + 4*w**2. Is z(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/120 + 7*h**4\/72 - 11*h**3\/36 + 5*h**2\/12 + 16*h + 6. Let r(j) be the first derivative of b(j). Factor r(y).\nAnswer: -(y - 5)*(y - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 6*u - 6. Let m = -22 - -10. Suppose -2*b + 35 = 3*b. Let n = m + b. Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f = -f + 44976. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -13. Let q(s) = s - 15. Let y be q(l). Suppose 4*c + 28 = -0*c. Is c greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.22 (b) 2\/303 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(76 - 76 + 65*s + (2 - 2 + s)*(4 + 1 - 1)).\nAnswer: 138*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*6\/4*(-176)\/110.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 31. Let p be w(-16). Let q be 6*(-2)\/(-6)*(2 - p). Is q*(0 - (-3868)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72611.9848 + 72535. Let m = u - -77. Let n = m - 0.02. 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: What is the value of 38\/12 + 1*(2 + -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 2, 0, -21, -1, 0.05?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f + 34. Let i be (3 - 2)*-2 - 780\/(-5). Let y = i + -143. Does 19 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 30. Suppose -2*j = -3*j - 5*v - q, 2*j - 4*v = 16. Find the first derivative of h - j + 3*h - 5*h wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (7 + 2) - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(385)\/sqrt(7) - sqrt(55)*4*-2)\/((sqrt(704) - (5*4*sqrt(704) - sqrt(704)))*5))**2.\nAnswer: 5\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9979*k. Let t(m) = -2*m**2. Give b(t(n)).\nAnswer: 19958*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*m**4)*(3*m + 3 - 3) - 2*m**5 + 6*m**5 + m**5.\nAnswer: 26*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1998 - 1750. What is the highest common factor of 296 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -0.11.\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (6 - 3) - 118. Sort 0.4, j, 0.3 in descending order.\nAnswer: 0.4, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 - 12?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-27)\/2) + 0. Suppose -2*n + 4*g = -30, -14*n + 5 = -11*n + 4*g. Suppose n*w + 11 = -4*w. Is j at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 3. Suppose 17 = 4*w + 1. Let r = -5 - -1. Put w, r, u in descending order.\nAnswer: w, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 5)*6\/(-2). Let n = 3 + h. Let v(b) = -b + 1. Let g(i) = 4*i - 6. Let c(q) = q**2 + 4*q + 1. Let f be c(0). Calculate f*g(p) + n*v(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393877247 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - j - 7, 9 = -3*j. Suppose o*t - 90 = 12. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = -o, 3*h - o - 1 = 2*h. Suppose -294 = -h*f + 302. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3321443 (base 5) to base 10\nAnswer: 57748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -10487.15402489.\nAnswer: -10487.05402489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 72 + 6 + -3 + -30 + 5 + 19.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8239220 divided by 121165?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 106922+0.5\nAnswer: 106922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 202002000021 (base 3) to base 4\nAnswer: 1200131311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -85, -166, -269, -400, -565, -770, -1021?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*s - 3589 - 11907, 4*j + 2*s - 30972 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02245 * 135.\nAnswer: -3.03075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/364 and -64\/117.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011101 + -1?\nAnswer: -1000010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 4*a + 19*r + 27, 5*a - 81*r + 78*r + 50 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1091\/8 - 136. Which is the biggest value? (a) -3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111021 (base 4) in base 11?\nAnswer: 7198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3538 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s**(2\/17)*s)))\/(s*s**(-4)\/s))**(-47))**48)**(-7) assuming s is positive.\nAnswer: s**(1373904\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431, -4, -5, -8, 3 in increasing order.\nAnswer: -8, -5, -4, 3, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6314394 is divided by 6314385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 4)*(-1 + 3). Let a(j) be the second derivative of 0 - j**o + 2*j - 1\/3*j**3. Find the first derivative of a(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 3:33 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 415*x**2 + 1517*x - 8430. Give u(211).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.15591 - 13.\nAnswer: -11.84409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Suppose -x + 1 = 0, -2*w + 9 = 4*x + x. Let a(o) = 2*o + 0*o - 3*o - w*o. Give a(v(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. What is the second smallest value in 1\/7, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1136.026 and 13.3.\nAnswer: 1149.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6*i - 3*i - 22, t = i + 1. Let p = -4 + t. What is the nearest to p in 2\/7, -0.3, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2932, 6562, 10074, 13474, 16768?\n\"Answer: z**3 - 65*z**2 + 3818*z - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + q - 6. What is the tens digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 20. Differentiate -1 - 66*a - 9*a**4 - d*a**4 + 66*a wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -837 - -840.87. Let o = -0.13 - s. Let r = -4.000004 - o. What is r rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 102*r - 975. Give d(8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -164 in descending order.\nAnswer: -1, -9, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8114997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55777423 is divided by 1067.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxj. What is prob of sequence xx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 2*x - 1. Let f be o(2). Suppose 4*m - 9 = 7. Let i be (-4)\/(-14) - m\/14. Put f, i, 5 in descending order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15 = 2*w. Solve 8 - 3 = w*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 28*g - 21*g. What is the second derivative of 45059*m**4 - 45294*m**4 + g*m + 43*m wrt m?\nAnswer: -2820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.63 + 10. Let h = 0.13 + z. Which is the second biggest value? (a) 1 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 0 + (-3 + 3)\/(-1). Which is smaller: 14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -4.2.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/480 + 23*q**5\/240 + 57*q**4\/32 + 135*q**3\/8 + 1336*q**2. Factor p(d).\nAnswer: (d + 5)*(d + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from orrlroonorr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -374*i**3 - 16*i**2 + 16*i - 126. Let g(z) = -75*z**3 - 3*z**2 + 3*z - 25. Let k(h) = -16*g(h) + 3*w(h). What is the first derivative of k(n) wrt n?\nAnswer: 234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431, 0.4, 651 in descending order.\nAnswer: 651, 0.4, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/7))\/i)**(-17\/2)\/(i**(1\/14)*i**(-5\/6)))**(-36) assuming i is positive.\nAnswer: i**(-804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*p + 128*p = 254*p. Sort p, -3, -5, 5 in descending order.\nAnswer: 5, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920256 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -30. Calculate the least common multiple of f and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59777963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 2, h: 3, u: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1078, 2155, 3232, 4309, 5386, 6463?\n\"Answer: 1077*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20))\/(180\/(-480))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1261230 by 85.\nAnswer: -14838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 66 = -5*b + 9*b + 12*n, 2*b + 8 = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 5272142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/141, 0.5, -1\/3.\nAnswer: -1, -1\/3, 2\/141, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1216)) + sqrt(1216))**2 - 4*((sqrt(171)*-2)\/sqrt(9) - sqrt(19))**2.\nAnswer: -960*sqrt(19) + 29860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + o - 8, 0 = 3*g + g - 3*o - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20545720.14 rounded to the nearest one thousand?\nAnswer: -20546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0 - 3 + 5)*((0 + 1 + 0)*(x + x - x) - 5*x - x + 4*x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) 14234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Let b(r) = 0*r**2 - m*r + 3*r**2 - 2*r**3 + r**2. Let x(a) = 17*a - a**2 - 20*a - 2*a**3 + a**2 + 3*a**2. Give 3*b(y) - 4*x(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -11. Suppose -11*l - 4*c + 28 = -7*l, -2*c - w = -3*l. Let b be (24 - l)*(-550)\/(-35). What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18516 is divided by 638?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79307*v + 105 + 79300*v + 184)*(v - 2 + 4 - 3*v) in the form t*v + r*v**2 + z and give z.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4451*h**5 + 59277*h**3 - 628281512*h**2 wrt h.\nAnswer: -267060*h**2 + 355662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140780 - 140779.999809462. What is w rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 0, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(0 + sqrt(72))*4)**2*-1.\nAnswer: -1036800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 9*z**2 - 7*z - 9. Let r be i(8). Let u(g) = g**3 + g**2 - 2*g. Let f be u(-2). Suppose 7*n - 3*n = f. Put r, n, 1 in ascending order.\nAnswer: r, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -415, -1 in decreasing order.\nAnswer: -1, -137, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*g - 3*n + 42, 3*n = -2*g - 39. Calculate the remainder when ((-2)\/(-2))\/(g\/(-2070)) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, 224, 648, 1070, 1490?\n\"Answer: -q**2 + 429*q - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/6815 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrhrrhrrerhr. What is prob of sequence rerh?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azza when four letters picked without replacement from azzzzazaaz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 1 + 2*r**3 - 2*r**4 + 3*r**4 - 3 to b*r + c + f*r**4 + n*r**3 + t*r**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1869647 and 851.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(819\/(-108))*98\/28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 12)*(-5 + 7). Let g be (25\/(-5))\/(1\/i). Which is smaller: -122\/3 or g?\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60634 - -124749. List the prime factors of f.\nAnswer: 5, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.09 (b) 4 (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4\/13, -107, 2, -2\/7 in decreasing order.\nAnswer: 2, 4\/13, -2\/7, -1, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/4 - 597*b**2\/4 - 16425*b + 50625 = 0. What is b?\nAnswer: -450, -150, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 10:24 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(65) - (-2*2*sqrt(65) - sqrt(65) - sqrt(65)))\/(sqrt(5) + sqrt(5) + sqrt(180)*2))**2 + 4.\nAnswer: 5*sqrt(13) + 129\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209214419 to the power of 1\/4, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -11 + 14 + -7 - 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 153 and 11354.\nAnswer: 11507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111010000 + -11?\nAnswer: -11001111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18451*i**3*n**4 - 198424*i**3 + i**2*n**4 wrt n.\nAnswer: 73804*i**3*n**3 + 4*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(144) + sqrt(144)*2)\/(sqrt(1089)*-1 + sqrt(1089) + sqrt(1089)))\/(((-2*sqrt(60))\/sqrt(6))\/(sqrt(500) - (sqrt(500)*-2 - sqrt(500)))).\nAnswer: -120*sqrt(2)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)\/p)**(2\/9)\/(p\/p**(-1\/4))**(-1\/19))\/(p\/(p\/((p*p*p**(-1))\/p)*p)*p*p**(-2\/17)*p)**(-4\/3) assuming p is positive.\nAnswer: p**(88195\/81396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 107, 19, -101, -247, -413, -593?\n\"Answer: d**3 - 25*d**2 + 18*d + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79236 and 432.\nAnswer: 950832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*j = -2*j + 236, -4*j = 20. Let c = y + 92. Let p = c - -94. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6292411um in centimeters?\nAnswer: 0.00006292411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17131308 = -297*j - 177*j. List the prime factors of j.\nAnswer: 2, 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -26 + (-19 - (-31 + -11)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y**3 - 18*y**2 - 9*y + 659. Let n(f) = -13*f**3 + 10*f**2 + 5*f - 330. Determine 9*n(o) + 5*q(o).\nAnswer: 3*o**3 + 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/5, 1\/100, -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4671*g + 206. Let o(k) = 2336*k + 102. Let y(m) = 7*o(m) - 3*r(m). Is y(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 3702285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -296, -300, -304?\n\"Answer: -4*m - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -4) + 472\/14392*61. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27102 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -313?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 12. Let r be p(8). Let h(j) be the first derivative of -2 + j - 3\/5*j**5 + j**r + 2\/3*j**3 - 2*j**2. Suppose h(y) = 0. Calculate y.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402107674.\nAnswer: 2, 103, 733, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 5, -5, 0.6, 1.4, -1\/10 in decreasing order.\nAnswer: 5, 1.4, 0.6, -1\/10, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(2268))**2.\nAnswer: 9071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27804316 a multiple of 2516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 20 - 52. Suppose 9 = w - 4*n - 0, 3*n + 23 = u*w. Solve -h = -6*h + w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 164. Solve 1 = -2*z - 1, 3*f = -u*z + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.15444 to 2 dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10554 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -58*s - 331. What is p(-8)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p + p + 3*p + (-1 + 0 + 3)*(p + 5*p - p) + (2*p + 4 - 4)*(2 + 0 + 1).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/(-21) + 5\/(-35). Suppose q = 4*d + d - 635. What is d rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011010011100001001111 (base 2) to base 12\nAnswer: -3123a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/(-2))\/(168*(-4)\/(-112))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-18)*(8 + 1). What are the prime factors of q*(-3 - 58\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1140 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 6*l)*(4*l + 0*l + 0*l + (l - 2*l - l)*(1 + 1 - 4)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 94059?\nAnswer: 8\/94059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -2\/3, -0.6, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10396 in 8.4, -2\/5, 3?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 h when three letters picked without replacement from {o: 5, h: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13904, 13905, 13906, 13907, 13908?\n\"Answer: n + 13903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135002474 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2347 * -2468.\nAnswer: 5792396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9821 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/62018 or 0?\nAnswer: 3\/62018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/5 (b) -1\/5 (c) -0.4 (d) 4 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2683708219 to the nearest integer?\nAnswer: 51805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 5:12 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3703*a**2*v**3 - a**2*v**2 - 7*a**2*v - 2*a**2 - 9*a*v**3 - 8585219*a*v + v**3 wrt a?\nAnswer: 7406*v**3 - 2*v**2 - 14*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6199 divided by -6199\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06364 times 1004?\nAnswer: -63.89456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13047723 and 8029368?\nAnswer: 104381784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6924 - 6708. What is the least common multiple of c and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.121?\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 694 + -493. Let n(f) = -578*f + 39503. Let o be n(68). Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/471885 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1526 + -1526.3. Which is the smallest value? (a) -0.02 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -1\/23 (c) -0.1 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4433*q**5 - 71*q**4 - q**2 - 10994*q + 7 wrt q?\nAnswer: -265980*q**2 - 1704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 5*l + 3. Let a be t(-3). Let w be (2 + -5)*8\/a. Let m(c) = -7*c**2 - 5*c + 5. Let z(h) = 6*h**2 + 4*h - 4. Calculate w*m(j) - 5*z(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -60\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.32 + -0.18. Let r = c + 5. What is the nearest to 0 in r, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/((i*i*i**8)\/i)*i)\/i)\/i*(i*i**8)\/i)**(5\/12)*(i**(2\/3))**(-1\/11)*(i\/i**(-1))\/(i*i**(-2\/11)*i) assuming i is positive.\nAnswer: i**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 132. Let a = w + 86. Solve a*y + 6 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-9) - (-4)\/(-6). Let a be 3 - 1*((-52)\/20)\/(-1). What is the fourth biggest value in y, 1\/5, 0.3, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.159? (a) 284 (b) 2 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 5. Let c be r(-2). Let v(b) = b**3 + 5*b**2 + b + 2. Let p be v(-5). Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/11 + 1586\/143. Let x(c) = c**2 - 15*c + 12. Calculate x(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -0.3 (c) 3\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/114555 and -88\/114555?\nAnswer: 114555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22103243 (base 5) to base 2.\nAnswer: -101110101001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33311634 - 3?\nAnswer: -33311640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1499*y - 282*y - 44525 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/9311 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 145 = 14*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.47188 to one decimal place.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1060*z + 935. What is the thousands digit of l(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - -4 - 5 - (0 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 o, and 1 c when four letters picked without replacement from omcmokmkycomomommoom?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 16391?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24204 - 4?\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 11:51 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -180, -135, -88, -39?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - 2*w + 82. Let y = -6 + 6. What are the prime factors of g(y)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 31, 37, 43, 49, 55?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3\/3 - 5*o**2\/2 + 3*o + 119. Let a be (-11 - 2)\/((-2)\/4). Suppose -6*s + s - a = -4*r, -5*s + 5*r = 25. Determine v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1365 smaller than -1365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.015 + -0.245. Let o = -0.185 - k. Let a = o - 0.0349. What is a rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452124?\nAnswer: 2, 89, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 20. Let x(z) = -z - 1. Let k(a) = p(a) + 3*x(a). Let u be -38*(-3)\/(-15) - 15\/(-25). Calculate the remainder when k(u) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-110))\/(2\/(-15))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220947553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 32*n - 17. Give o(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3\/3 + 2*j**2 + 4*j - 1. Let t(f) = -4*f**2 - 89*f + 268. Let s be t(-25). Is b(s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1625 (base 7) to base 15.\nAnswer: 2db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h - 53. Is g(10) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 4) + (3 - -8). Let u = 0 + 0. Solve u = 2*a + 3*a - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1224 and -20?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -131*k**6\/60 + 3*k**5\/10 + k**4\/4 + 13*k**2 + 3*k. What is the third derivative of d(h) wrt h?\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/5)*l)*l)\/(l**(-15)*l))\/((l*l**8)\/(l*l*l*l*(l\/((l\/l**(-11))\/l)*l)\/l)) assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-3 + 13\/4)) + 3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 2 + 2 - 4*w**2 - 1.\nAnswer: -4*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -79*o - 24. Let n be k(-7). Suppose 0 = -4*h + m + 907, 366 + n = 4*h + 3*m. What is the least common multiple of h and 16?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283.856 millennia in decades?\nAnswer: 128385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3 + 5*q + q - 2. Suppose -3*l - 3*i + 36 = 0, 2*l + l = -5*i + 32. Let z(d) = 4*d + 2*d - 9*d + 14 - l*d. Give -11*b(g) - 4*z(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 5*w**2 - 3*w + 5. Let t = -17 - -12. Is a(t) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(-9 + 1). Let g be 6\/f + (-11973)\/6. Let m be (g\/(-6) + 1)*17700. Round m to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*h = 275*h. Solve h + 3\/2*l**3 - 9\/2*l**2 + 3*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -6.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 62*q - 3. Let i(a) = 8*a + 7709. Determine i(c(f)).\nAnswer: 496*f + 7685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116 + (-49198)\/(-425))*5*3\/21.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -586962 divided by 6\nAnswer: -97827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + 112. Let t(m) = -2*m**3 - 9*m**2 - 7*m - 7. Let x be t(-6). Let v = x + -125. Calculate the greatest common divisor of v and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*n + 12 - 7, t + 2*n = 4. Solve 2*l - 4*l = 4*z - 8, t*z + 4 = 3*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - m**2 + m - 43. Let a(w) = w**3 + 2*w**2 + w - 41. What is 4*a(y) - 3*u(y)?\nAnswer: -2*y**3 + 11*y**2 + y - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 41158518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/2 (c) 21079\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -22. What is the biggest value in 2, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssp when three letters picked without replacement from ssssppssss?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/4*48\/54.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3316.80503 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50, 236, 538, 962, 1514, 2200, 3026, 3998?\n\"Answer: b**3 + 52*b**2 + 23*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21)\/(135\/(-162)*3\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69179328 divided by 480412\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*g**5 + 3659*g**3 - 14411371*g**2?\nAnswer: 1920*g**2 + 21954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 66 - 23*g**2 - 46 - 96*g.\nAnswer: -23*g**2 - 96*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457 divided by 1.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -1132082?\nAnswer: -79245.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 6*d)*(6*d**4 + 14*d**2 - 14*d**2 + d**4 + 0*d**4 - 5*d**4 - 9*d + 9*d - 5*d**4 + (2*d**2 - 4*d**2 + 0*d**2)*(3*d - 2*d**2 - 3*d)).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5141184, -5141135, -5141086, -5141037, -5140988, -5140939?\n\"Answer: 49*c - 5141233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631710 to the power of 1\/2, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = h - 7, 8 = 3*h + 4*f. Suppose h*v - 79 = 3*v. What is the remainder when v is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 17*k**2 + 31*k + 3. Suppose -2*q - l + 8 + 3 = 0, 4*l = 20. What is the remainder when m(15) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j**2 - 17*j - 9. Let p(n) = n**2 - n - 8. Let q be p(-3). Let u(i) = 25*i**2 - 15*i - 10. Let r(v) = q*u(v) - 5*f(v). Factor r(k).\nAnswer: -5*(k - 1)*(6*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112586 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 + -1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-17)\/4. Let x(f) be the third derivative of 0*f - 1\/300*f**6 + 1\/60*f**i - 1\/15*f**3 + 1\/150*f**5 - f**2 + 0. Factor x(y).\nAnswer: -2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 2*q**5 + 6*q**5 + (2*q + 4 - 4)*(-2*q**4 + 0*q**4 - q**4) - 2*q**5 - 3*q**3 + 3*q**3.\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001185?\nAnswer: 5, 200237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2089499278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33497237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21344\/1392*-3*1\/(-2). Solve f - v = 4*j, 4*f + 4*j = 3*f - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3401 (base 5) to base 11.\nAnswer: -3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34792608 or -34792609?\nAnswer: -34792609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:38 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1764\/15876)\/(1\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/9 + -1 + (-184)\/(-18). Suppose h*l = 49 + 41. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436781810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/7 + 144*r**2\/7 - 1536*r\/7 + 5120\/7 = 0. What is r?\nAnswer: 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*c = 413*c + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(288\/330))\/((-76)\/228).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**38*k\/(k**40\/k)*(k\/(k\/(k\/(k*k**(-46)))))\/(k\/(k**41*k)) assuming k is positive.\nAnswer: k**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 5*k - 3. Let s be d(4). Let x(y) = -s + y - 3*y - 6 + y. Suppose 5*a - 798 + 838 = 0. Calculate x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 20*z**3\/3 + 69*z. Let o(j) = 3*j**2. Determine o(k(l)).\nAnswer: 4800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 13 - 3. Let z(a) = 4*a + 2. Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1193, 14936, 41219, 80042, 131405?\nAnswer: 195308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 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: Is 101 a factor of 4067085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 464.6 (b) -5 (c) -9 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 949 - 191. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 5417.503537.\nAnswer: 5421.503537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 + 17 = -5*k, -5*j + k + 14 = 0. Let r be ((-1)\/j)\/((-5)\/(-40)). List the prime factors of ((-6)\/r)\/(1\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 0 - 0\/3. What is the first derivative of 169 - a*l**2 - 148 + 27*l**3 + 6*l**2 wrt l?\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 1 - -5) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 45. Let w = k - 15. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -44?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*m - 143*m - 132 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2773*s + 2778*s - 95 = 5*u, 2*s - 20 = 5*u. What is the greatest common divisor of 11 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 10. Let t be 9\/(-21) - (-1368)\/(-42). Let m = 27 + t. Let n be i(m). Which is the third smallest value? (a) -2\/5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36924 divided by 3.\nAnswer: -12308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8 - 4*x**2 + 27*x**2 - 2*x**2 + 4*x + 0*x. Let k(o) = -1450*o**2 - 275*o - 550. Let u(m) = -4*k(m) - 275*w(m). Let p(q) = q. Give u(p(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84647, 85873, 87097, 88319?\n\"Answer: -q**2 + 1229*q + 83419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 - 67*m**2 - 417*m**3 + 15*m**2 + 411*m**3 + 2*m**2 + 32*m**2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76217 is divided by 2245?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*k**3 + 516*k**3 + 515*k**3 - 2125*k**3 + 561*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + -4 + 0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -46.93. Let c = w - -0.0805. What is c rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/167, 0.5, -4\/7, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13229080.41 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451\/240147 or 0?\nAnswer: 451\/240147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tem when three letters picked without replacement from {m: 5, t: 1, e: 3, z: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 5*x. Let b(f) = f**2 - f. Let z(i) = 20*b(i) + 4*g(i). Factor z(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 0)*(0 - 6 - 1) + (2 + 1 - 1)*(-3 + 3 + 2))*(3 - 1 + 1)*(-49 + 49 - 9*a).\nAnswer: -1053*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 656 and 1543609?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from rlm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 9. Let b(a) = 4 + 133*a**2 - 136*a**2 + 9. Give 5*b(p) - 7*w(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -163535796.2?\nAnswer: 163535797.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x + 112*x + 57 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5. Suppose 5*i = -2*h + 4*h + 25, 2*h - 20 = -4*i. Calculate v(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 16\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9950, -9954, -9960, -9968?\n\"Answer: -h**2 - h - 9948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-392 + 0)\/(6\/17526). Let f = -755032 - i. What is f rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000110 - -11?\nAnswer: 1111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6 - 5*p**2 + 4*p + 6*p**2 + 0*p**2. Is x(-8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 33*h = 2. What is the hundreds digit of (-6649)\/(-5) + 7 - h\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -4. What is the first derivative of -5 - 5 + 4 + 3*y**k + 4 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 1025, 1518?\nAnswer: 2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-8))\/(140\/(-520))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 944*h**7\/21 - h**4\/3 - 35*h**3 - 6*h - 90. Find the third derivative of l(i) wrt i.\nAnswer: 113280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9905, -34501, -75485, -132857, -206617, -296765?\n\"Answer: -8194*a**2 - 14*a - 1697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 237, 1\/4, -5, -37?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 540 (base 12) to base 2\nAnswer: 1100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177843437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0.4. Let d = 1.8 - l. Sort -5, 0.5, d.\nAnswer: -5, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose -a*o + 174 = -162. Is 14 a factor of ((-16)\/(-6))\/(4\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.018 and 1011.\nAnswer: 1010.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from txxpmmqmxptkmxxtxtpt?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, n: 1, r: 1, z: 1, t: 1}. What is prob of sequence tz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -72 (c) -192\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 25. Let g = 17993 + -53981\/3. What is the second biggest value in -1, 0.5, k, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110100?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 3*r + 3. Let d be z(0). Suppose a - 3*y + 399 = -2*a, -651 = 5*a + 2*y. Let p = d - a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 5*a + 4*a - 4 + 2*a**2. Let f(n) = n**2 + 4*n - 3. What is -4*f(t) + 3*p(t)?\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116911 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86772.\nAnswer: 2, 3, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14234 - 232?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4)*12\/(-18))\/(198\/1056).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670986.\nAnswer: 2, 41, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2\/4 + 15666237*s + 31332477 = 0.\nAnswer: -2, 20888318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:48 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -58686984 divided by 19562328?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 94, -4\/5, 0.3, -0.3, -235 in increasing order.\nAnswer: -235, -5, -4\/5, -0.3, 0.3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 566*q**2 + 12*q**3 - 566*q**2 - 7*q**3 + 11*q**3 + 0*q**3 + (q + q**2 - q)*(0 - q + 0) + (q - 5*q + 3*q)*(-2*q + 2*q + q**2).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqtkr. What is prob of picking 1 r and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 250*g**4 + 18700*g**3 - 363000*g**2.\nAnswer: g**2*(g - 110)**2*(g - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 12*f - 31. Determine u(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, 244947 in ascending order.\nAnswer: -24, 4, 244947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/41 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -1)\/(-5 + 2). Let p(a) = 59*a**2 - a + 1. Is p(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 30 - 30 - 43033*f**2 + 43033*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let b be f*(-15)\/(-6)*-2. Solve 3*y = 4*j + 18 + 14, b*y = 4*j + 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvqrzrqlvqr. What is prob of picking 2 q, 1 z, and 1 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 10*x - 8. Let p be h(6). Suppose -312 = -p*n + n. Suppose -4*d + 0*d + n = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1502?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24285 + 4.68.\nAnswer: 24289.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {v: 1, w: 3, r: 7, p: 1}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - o + (-5*o + 21*o + 3*o)*(4 + 1 - 4))*(2*o**2 + 2 - 2).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2251 - 2251. Let j = 2 + 0. Let l = j - 1.7. What is the nearest to -1 in -0.2, l, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j + 3. Let h(r) = 7*r - 4. Suppose -5*z + 237 = -0*z + l, -5*l = 15. Let p be (-4 + z)*9\/12. Let x be (88\/p)\/((-2)\/3). Give x*h(f) - 5*y(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 385348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4554 and 70.\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and 16\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20659197.\nAnswer: 3, 13, 529723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(((-225)\/1890)\/(3*(-160)\/648)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 take away 968?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3994274989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*o + (-o - o - 3*o)*(4 - 1 - 5) + 20 - 20 + 29*o in the form y + g*o and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215974305 to the nearest integer?\nAnswer: 14696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/13 + 12*p**3\/13 + 2*p**2 + 24*p\/13 + 8\/13 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 - 116*y**2 - 228*y + 6. What is w(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**5 + 2\/75*q**6 + 0*q**3 + 0 + 7*q + 0*q**4 + 0*q**2. Find d such that u(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.4, -2\/901 in ascending order.\nAnswer: -14, -2\/901, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6547.855 to the nearest ten.\nAnswer: -6550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + h + 2*h + (2 - 2 - 2*h)*(-1635 - 2356 + 3321) + (-h + h - 2*h)*(-1 + 5 - 6).\nAnswer: 1342*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -9743, -2\/5, 1024?\nAnswer: -9743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 24\/(-5 - -2). Suppose 5*h = 2*w + 205, 2*h + l*w = -2*h + 141. What is the remainder when 170 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/65, 0.0558, -1\/3, 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -9, 24 in increasing order.\nAnswer: -9, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - b**4 + 3*b + ((-5 + 1 + 2)*(0*b - 3*b + 5*b) + 3*b + b + 2*b)*(b**3 - b**3 - 2*b**3) to i*b + o*b**4 + z + y*b**2 + d*b**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194081475 to the nearest integer?\nAnswer: 13931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 34 + 8)*(1 - m + 1 - 1)*(m**2 - 2*m**2 + 0*m**2 + (-m + 2*m + m)*(1 + m - 1)) in the form j*m**2 + p + g*m**3 + n*m and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 6) to base 12\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (1 + 3) - (10 - (-24 - -25))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 + 5 + -5 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-54)*-18*(-5)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2896000 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 24. Suppose 3*h - x = -2*u - 2*u, h = 0. Let -5\/3*v**4 + 2\/3 - 3*v**2 + 13\/3*v**u - 1\/3*v = 0. Calculate v.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, 3\/4, -4, -20, 156?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = p - 15 + 13, -2*w + 20 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 39*i - 5 - 7*i.\nAnswer: -38*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 646?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 + b**4 - 10*b**2 - 8*b + 8*b**3 - 2*b**4 + 14*b**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 586 or 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.974 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 562?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-7)\/(-9))\/((-7)\/3). Let b(c) = c**2 - 1. Let f(p) = p**2 - 7*p - 9. Let j be f(8). Let s(z) = 4*z**2 - 1. Calculate i*b(l) + j*s(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28072 at most 28070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(1331)*-3*4 - -3*sqrt(1331)*2)**2)*-3.\nAnswer: 143751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(((-2)\/(-3))\/(7\/21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.515 and 0.5.\nAnswer: -13.7575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582417033.\nAnswer: 3, 11, 17649001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1200048 + 1936331. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71407 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 + 2*u**2 + 0*u**2 + 4*u**2. Let b(x) = -12*x. Determine b(k(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -2746, -7485, -15618, -28009?\nAnswer: -45522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-7 + (8 - -11) + -27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 4258591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 0*i + 2 - 13 + 9. Suppose 5*s + o = -45, -4*s = o + 52 - 16. Give m(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from ujjxxjajumjjjja.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 713 - 371?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37885\/(-1950) + (-1)\/5. Let l be (-1)\/(-13)*19 + -1. Let z = l + g. Find the common denominator of 47\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -2, -61, -5, 3, 95 in descending order.\nAnswer: 95, 3, -2, -5, -61, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 11*m**2 + m - 9. Let y be p(11). Let n be 3*(5\/(-30) - (-55)\/30). Which is the third smallest value? (a) 7 (b) y (c) n (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*i + 2*t, 5*i + 40 = -0*i - 5*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114) - (sqrt(4114) + (sqrt(4114) - 3*sqrt(4114)*-6) + sqrt(4114)) - sqrt(4114))\/(sqrt(242)*-3*6).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 5.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 536051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:28 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -235, 2367, 4957, 7529, 10077, 12595, 15077, 17517?\n\"Answer: -u**3 + 2609*u - 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:03 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44\/9 in -11, -1, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-10232.\nAnswer: -1841.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 159, 646, 1459, 2598?\n\"Answer: 163*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 27 = -3*r, 4*i = -0*i + 5*r + 37. Let g = 28 - i. Let k = 46 - g. Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 3, g: 2, x: 5}. Give prob of sequence xdg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 57. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539098658 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144294783 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*v**2 - 3*v - 66*v**4 + 67*v**4 + 2*v**2 + 2*v**3 + 2*v - 6*v**3 to f*v**2 + o*v + j*v**4 + u*v**3 + h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/3 less than or equal to -41815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t. Suppose t = -4*r + r. Solve r = -z + 3 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiqq when four letters picked without replacement from {i: 4, w: 5, q: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4899*-0.4.\nAnswer: -1959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/(w*w*w**(3\/29)))\/w))**(-24)\/(w**(22\/7)*w*w**(3\/16)))**2 assuming w is positive.\nAnswer: w**(-333937\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.043438 + -0.056562. Let g = 28\/51 + -2\/3. Sort x, g, -4 in increasing order.\nAnswer: -4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - 22*a + 1. Let d be j(5). Solve 33 = -4*o + d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 75. Let n(y) be the first derivative of y**4\/4 + 13*y**3\/3 + 5*y**2 - 10*y - 7. Let c be n(-8). What is the highest common divisor of c and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10521030*0.03.\nAnswer: -315630.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0 - 1\/30*n**5 + 0*n + 0*n**4 + 0*n**6 - 1\/336*n**8 + 0*n**3 - 3*n**2 + 0*n**7. Find the third derivative of x(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 66. Sort -1\/2, r, -1, 6.\nAnswer: r, -1, -1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43448 by 14.\nAnswer: 21724\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 400865, 801745, 1202649, 1603589, 2004577, 2405625, 2806745, 3207949?\n\"Answer: 2*k**3 + 400866*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2736) + -4 + 0 - (1*sqrt(1539)*-6 + 3 + 0 + sqrt(1539)))**2.\nAnswer: -462*sqrt(19) + 20740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 7*j**6\/6 - 9*j**2\/2 - 34*j. What is the derivative of p(u) wrt u?\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2607 + 2761. What is the remainder when 713 is divided by s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let j(y) be the third derivative of 11*y**5\/3 + 53*y**2. Does 50 divide j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-8)\/96*(-8)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5467*u + 5684*u + 748440 = -2457*u for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 7*d - 4. Suppose 9 = 4*i + 45. Let t be o(i). Is (-40)\/(-3) + t\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from oooooooqioo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbihhddddkkbdib. Give prob of sequence id.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 259*o + 16566. Calculate w(-64).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 398, 798, 1198, 1598, 1998?\n\"Answer: 400*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -3*p + 3*z - 178, -15*p + 2*z = -14*p + 74 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(28\/3))**(2\/47)\/(p\/(p*p**7\/p))**(6\/13) assuming p is positive.\nAnswer: p**(4426\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 52*j + 12*j - 10 - 4*j**2 + 5*j**2 - 51*j. Calculate h(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:01 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65417052451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160479441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/392*15\/(-5))\/((-5196)\/(-3464)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 2)*(2 - 2 - 2) + (-2 + 2 + 2*b)*(4 - 2 - 1) + 2*b + 3*b - 3*b + 5*b + 3*b - b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 2960375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -367. Suppose -5*c + v = -c. Let b = -19 + c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43510112 (base 6) to base 7.\nAnswer: -14022614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = -3*i, 4 = -3*q - 4*i + 13. Is 6 a factor of 2*q*30\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44995, -44996, -44997, -44998?\n\"Answer: -s - 44994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Let w(c) be the third derivative of 0*c**3 - 5*c**2 + 0*c - 11\/24*c**4 - 10. What is w(f(q))?\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82155 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*z - 36*z - 41 + 17 - 20*z wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -3.2. Let k = -479.97 - -478. Let d = 0.03 - k. Sort d, w, 3\/4.\nAnswer: w, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m + 7. What is t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -89111108 divided by -22277777\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(24)\/sqrt(2)) + -5 + 2*(-4 + sqrt(125)).\nAnswer: -13 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m - 92760*m**2 + 92818*m**2 - 13*m + 1.\nAnswer: 58*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57168741 from -85.\nAnswer: -57168826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 368506165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.83 * 0.2.\nAnswer: 0.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*y - 11, -5*y + 15 = -0*u + 5*u. Let z(f) = u*f - 238*f**2 + 3 + 237*f**2 - f. Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -759 - -871. Calculate the greatest common divisor of r and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {v: 3, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19785.64077 rounded to the nearest ten?\nAnswer: -19790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(69*g - 5*g + 2*g).\nAnswer: 198*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*k + 387*k + 364*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) 63\/20 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 140 = 2385. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-224)*(-14)\/(-4) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (-3 - (3 + -4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/10 + 6\/(-3). Let t = -366 - -366.1. Let d = 0 - -1. Put t, d, k in ascending order.\nAnswer: t, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.69 + -2.7. Put 2, 3, w, 0.4 in descending order.\nAnswer: 3, 2, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) - sqrt(36)))**2 + sqrt(468) + 1.\nAnswer: 14 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2*i**2 + 8*i**2 - 5 + 16 + 4*i**2 as d*i + f*i**2 + q and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61.5 - 42. Let z = b + -13.7. Is 2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))**(-3\/10)*(r**1*r)**(5\/13))\/((r*(r\/((r\/r**(-1\/3))\/r))\/r*r)**(-43)\/((r\/(r*r**0))\/r)**6) assuming r is positive.\nAnswer: r**(12838\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-18)*2\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 108*x + 2916.\nAnswer: (x - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (802\/(-3))\/(-2*(-3)\/(-81))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2483.4261 months to years.\nAnswer: 206.952175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.2. Suppose -4*m + 0*m - 24 = 0. Let s be 6\/9 + 7\/m. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53 and -2.6.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -870605, -870625, -870689, -870821, -871045, -871385?\nAnswer: -871865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and -95\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14811448 divided by 9292.\nAnswer: -1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 526*z**2 + 17*z + 7. Determine w(-1).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(63)\/sqrt(324) - sqrt(7)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*a**3*k**3 + 2*a**3*k + 574*a**3 - 49*a**2*k**3 + 3*a**2 - a*k wrt k.\nAnswer: 2130*a**3*k - 294*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2385211 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2*1 - -2). Suppose 6*j - j - 45 = d. Let w = -2 + j. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 31. Let o be 708\/(-40)*-2 + 2\/t. Calculate the greatest common divisor of o and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = n + 14, -2*n = 4*x - 2*x + 16. Let i(z) = z**3 + 4*z**2 + 2*z + 1. Let f be i(x). Suppose -f*c + 2*c + y = -18, -3*y - 46 = -5*c. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 2*z**3 + 2*z + z**2 - 49473*z**4 - 1 + 49434*z**4 to the form r*z**3 + p*z**2 + b + f*z**4 + o*z and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5\/4, -0.3, -45 in ascending order.\nAnswer: -45, -5\/4, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + v + 9, 0 = -4*r - 3*v + 5*v + 6. Let k be -2*5\/((-10)\/9). Solve k = -f + r*g - 0*g, -5*f = -3*g + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30839334 and 42.\nAnswer: 215875338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-22)\/(-4))\/((-3)\/(-6)) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 17*s - 57. Let t be h(-10). What is the tens digit of (-17 + t)*353\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**4*t + 16*q**3*t + 3*q*t**2 + 630*t**2 wrt q.\nAnswer: 8*q**3*t + 48*q**2*t + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/8 - 447*b**2\/8 - 1419*b\/4 + 930.\nAnswer: 3*(b - 155)*(b - 2)*(b + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 188. Let i = 96 - k. Find the third derivative of -20*g**2 + 53*g**2 - 16*g**2 - 20*g**i - 34*g**3 + 3*g wrt g.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 326366*w**4 + 2*w**3 - 378237*w.\nAnswer: 3916392*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 44. Suppose 52 = -5*y - 4*r, 0 = 5*y + 14*r - 13*r + 43. Calculate j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 55 + (2 + 0 - -11) - (2 + 2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*8\/(-128)*(-50)\/(-3) and -64\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = -3*d, 4*a - 7 = -3*d + 33. Suppose -d = 5*s - 8. Solve s = -2*k + 7 + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(3\/8))\/g)\/((g*g*g\/(((g*g*g**(-4)*g*g)\/g)\/g*g))\/g*g))**(-5\/6)*(g*g**(2\/5)*g)**(11\/7)*g**(-4\/3)*g\/(g**5*g) assuming g is positive.\nAnswer: g**(257\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/39)*s\/((s\/s**11)\/s) assuming s is positive.\nAnswer: s**(509\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 597505889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 2096 = 5*s + 20*c, 0 = 4*s - 4*c - 1648. Calculate the highest common factor of s and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 29093?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463736?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539874.\nAnswer: 2, 7, 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u - 0*u. Let v(f) = 0 - 1 + 4 - u*f. Let i(h) = 2*h + 3. Let y(d) = 6*d + 7. Let n(j) = -8*i(j) + 3*y(j). Calculate 3*n(l) + 2*v(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -122 (b) 0.08 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -30487163.\nAnswer: -121948652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 450, -13, 0.3, 2, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 6817307932*f**2 - 3*f**3 + 6817307932*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -21*b - 58. Determine l(1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 1, i: 5, h: 3, o: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -13 in descending order.\nAnswer: 7, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 62 + 4 = 0. Suppose -9 = -5*n - a. Is -1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*sqrt(126)\/sqrt(3))\/sqrt(6) + -1 + (sqrt(2268)*1 - sqrt(2268))**2 + -5).\nAnswer: -12 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12931306 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(2\/3)))\/a*a)\/(a\/(a*a**(3\/7)*a))*((a*a**(2\/5))\/a*a)**(1\/22))\/((a**(-1))**(3\/7))**(2\/47) assuming a is positive.\nAnswer: a**(13087\/15510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1106241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 1, k: 1, u: 2, n: 1}. Give prob of sequence nsk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -1837, -4612, -8487, -13456, -19513, -26652, -34867?\nAnswer: -44152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575 and 1400.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*n = 534 - 7758 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4065 and 218760?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -921176737*m*s**3 - 10384*m*s**2 + m - 3162 wrt s.\nAnswer: -5527060422*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12542?\nAnswer: 2, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 44*p**3 + 34*p - 51*p**3 - 34*p + 30*p**3 - 10*p**2. Let w(y) = 11*y**3 - 5*y**2. Determine -2*j(q) + 5*w(q).\nAnswer: 9*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*161\/(-63) + 7 + 0)*15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 13*v**2 + 9*v + 71. Let z be a(14). Let g be 6 + 0 + (-3 - z). Let q be (3\/2)\/((-1)\/(-12)). Solve -g = -4*l - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/7 + s**3 + 12*s**2\/7 - 4*s\/7 - 16\/7 = 0. What is s?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -25, 3 in increasing order.\nAnswer: -25, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kghhhkk. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*z**3 + h**2*z + 39*h*z + 4*h - 126*z**4 wrt z?\nAnswer: 6*h**2*z - 1512*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 165675335 divided by 31769\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.4 less than -5\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 + 288*v**2 - 14292*v - 45360 = 0.\nAnswer: -105, -3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1.249.\nAnswer: -2.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 13)*(-5)\/4. Suppose 132 = 3*k + 4*v, -f*v + 226 = 5*k + 6. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -701.5 - -702. Which is the biggest value? (a) 4 (b) 3 (c) -0.1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 3. Let p(z) = -z**3 - z**2 - 6*z - 3. Let r be p(-4). Suppose -4*u + r = -19. Calculate the remainder when u is divided by y(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*i + 457*i = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(2\/(-4)). Let i = 2 + u. Let d(q) be the first derivative of -9*q**4\/4 - q + 6. Give d(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoa when three letters picked without replacement from aaoaaaaoaoaoaa.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226\/5 - 1572\/35. What is the closest to -6 in 2\/5, k, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869047 is divided by 2086?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*n**3*r*u - n**3*r + 2*n**3 - n**2*r + 59*n**2 + 20*n*u + 2*r*u - 3*u with respect to r.\nAnswer: 181*n**3*u - n**3 - n**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 345*u + 188. Is m(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t - 7*t**2 + 2*t**2 + 0*t**2 + 2 + t**2. Let f be b(5). Suppose f*g + 20 = 100. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r. Suppose -3*s - 8 = -20. Let x be l(s). Suppose x = -q - 0*q. Is q greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 times 125?\nAnswer: -60500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2957 and 5?\nAnswer: -14785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-7)\/(-84) + (-1)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2120724, 4241445, 6362168, 8482893, 10603620, 12724349, 14845080?\nAnswer: 16965813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:18 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/3 + 41*z**2\/2 + 189*z - 107. List the prime factors of r(41).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + 0 + -2 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.0377 - -0.0377. Let n = -4.3 - u. Let f(w) = w**3 - w**2. Let o be f(-1). What is the second smallest value in -13, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7845 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:14 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t + 4 = 2*m - 57*t, 4*m + 3*t - 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-126) - 30\/(-35). Let u be ((-2704)\/(-20) - 3)*1. Let z = u - 133. What is the nearest to 2\/5 in z, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*o - 6*o + 4*t, t = 5*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9016\/(-28))\/(-46)*132\/(-28)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6. Suppose -4*b = 7 + v. Is b\/9 + (-803)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 + 3*h - 4. Let x be -1*(-4)\/(4\/(-5)). Let p = -18 - -12. Let m(k) = -k**3 + k**2 - 2*k + 4. Let v(b) = p*m(b) + x*z(b). Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.94327585.\nAnswer: 3.7731034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**46\/(z**(-3\/14)\/z)*(z*z**(-8\/7)*z)**(3\/38) assuming z is positive.\nAnswer: z**(12577\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let y(d) = 0*d + 0*d - w*d + 24. Let m(h) = 106*h + 196. Let t(i) = 38*i + 70. Let b(s) = -5*m(s) + 14*t(s). Calculate b(y(z)).\nAnswer: -4*z + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(637) - ((2*sqrt(637) - sqrt(637))**2 + sqrt(637))) - (sqrt(637) + 0)**2*2.\nAnswer: -1915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 1. Suppose 2*z - 24 = 6*z. Let r(g) be the second derivative of -98*g + 0*g**2 + 1\/6*g**3 + 0. Calculate z*r(m) - p(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9, -0.04, -570, 1, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12943, 25746, 38547, 51346, 64143, 76938?\n\"Answer: -f**2 + 12806*f + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2937 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -79*r**2 + 2*r - 2. Let m be b(1). Let f = -65 - m. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328441.9099956 - -328442. Let y = 0.21 - 0.3. Let l = c + y. Round l to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -21*v. Let q(s) = 248*s**2 + 7*s + 17. Let z(m) = 123*m**2 + 3*m + 7. Let a(g) = 3*q(g) - 7*z(g). Calculate i(a(n)).\nAnswer: 2457*n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 8) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*b, 0 = b - 3*b - 2*r + 8. Suppose j - 82 = -b*k, 5*k = j - 5*j + 331. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2388, 437, 0 in decreasing order.\nAnswer: 437, 0, -1, -5, -2388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -57, -0.3, -24, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:51 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -33*d + 101 + 3 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.409 + -0.109. Let d = -1.7 - w. Which is the closest to -2? (a) 0.5 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-25))\/((-3)\/(-5)))\/((-1168)\/5256)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-4)\/(-8)*(-6)\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 1. Let h be l(-2). Let w = -4 + 8. Let n = 0.084 + 0.316. Which is the third smallest value? (a) n (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/3)\/6 + 0)\/(700\/(-35))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852293 is divided by 121.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 23*q**4\/12 - 144995*q. Let y(o) = -13*o + 5. Let t(a) = -20*a + 7. Let p(v) = -5*t(v) + 7*y(v). Give p(i(w)).\nAnswer: 207*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -5, -208 in decreasing order.\nAnswer: 40, -5, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-24)*28*2565\/9310.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -63. Suppose 12*f - 8*f - 8 = 0. Suppose -2*z - f*z = -c. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1747*j*m*r**3 - 8*j*m - 64*j*r**3 - 1028*m*r**2 wrt r?\nAnswer: 10482*j*m - 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 7) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -d8?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*p = -16, 2*b - 5 = -3*p + 72. Let o(f) = 33*f + 0 - b*f - 3. Let c = -11 + 17. What is o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**2\/7 + 3449650980*x\/7 - 495837161825623350\/7 = 0.\nAnswer: 287470915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*k, 4*v + 0*k - 4 = 2*k. Let h(s) = -13*s + 2. Let m be h(v). Solve o - m = 2*g + g, 0 = -3*g - 3*o - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 485*r**4 + 785*r**3 + 876965*r**2 + 9883440*r + 16272900 = 0 for r.\nAnswer: -63, -10, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 6*t + 48, -t + 25*g + 7 = 27*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 19*f - 4. Suppose 0 = -f*l - 2*t + 50, -l + 36 = 5*t + 3. Calculate the highest common factor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -372097.\nAnswer: -5\/372097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -7*r**5\/120 - 7*r**4\/12 + 7*r**3\/6 + 8*r**2. Let u(t) be the first derivative of l(t). Does 7 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*2)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -2.4. Let b = -5 + k. What is the smallest value in b, -3\/2, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47809 - 11?\nAnswer: -4781a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 28 = -4*a, 4*x = -x - 25. Let r be (18\/(-12))\/(a\/(-4)). Let d(f) = 3*f**3 - f**2 + 0*f**2 - 4*f**3 + 1 + 2*f + 4*f**2. Determine d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2, -50 in decreasing order.\nAnswer: 2, -27, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let s be n\/((-3)\/4 + 1). Let c be s*(-5 + -2)*1. What is the greatest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 21*v + 9. What is the tens digit of l(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284192 and 504557.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20436 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 229? (a) 0 (b) 2\/3 (c) -1.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Let o(v) = -v**3 - 10*v**2 + 12*v + 14. Let t be o(-11). Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:56 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*n - 13 + 3 = 0, 0 = -3*w + n - 6. Let p(u) = u**2 + 3*u - 2. Let f be p(w). List the prime factors of (-3)\/4 - 179\/f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = 2318*x - 2323*x - 29*g - 7, -36*g - 146 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(3033*u + 2686*u + 230 - 230) + 3*u - u - u + (0*u - u + 0*u)*(-5 + 3 + 1) - 1 + 1 + u.\nAnswer: -5716*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b59a9 (base 15) in base 2?\nAnswer: -10001100100110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 33. Suppose 1 = 2*n - 3*r - 1, n + r = x. Solve d - n = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 247812*b\/5 - 5117565612\/5.\nAnswer: -3*(b + 41302)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 1. Suppose -3*o = -2*q + n, -6*q = o - 4*q - 7. Let h = 1 + o. Which is the nearest to h? (a) -3 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 155685, 311499, 467313, 623127?\n\"Answer: 155814*x - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1297761\nAnswer: 1\/1297761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296238547?\nAnswer: 11, 89, 302593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + m - 2. Let f be v(-2). Suppose f*c - 25000000 = 3*c. Round c to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let d = -31\/21 - -8\/7. Put y, -0.5, d in descending order.\nAnswer: y, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k - 3. Suppose k*d = 7 + 29. Suppose 65*z - 69*z + 4*l + 128 = 0, 42 = 2*z - 4*l. Calculate the remainder when z is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1367218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/20 + 2\/5. Calculate the remainder when (-1 + -1)\/(-1) + g is divided by (-9)\/(-6) - 1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:48 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-11*f - 3 + 3) + 9 - 3 - 20*f - 5 as x + w*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 8. Let d be r(-5). Let h be (3 + d)\/(1*-1). Let b be -2 + h + (-2)\/6*0. Let p(j) = 2*j + 2. Determine p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1578648 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -42. Suppose y = -4*l + g, 0*l - y = 3*l - 13. Suppose -2*w + 3*w - 1 = i, l*i = w + 8. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20860.9 litres in millilitres?\nAnswer: 20860900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1066195, -4264737, -9595639, -17058901, -26654523, -38382505?\n\"Answer: -1066180*w**2 - 2*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340 - -536. Let n = i - 124. What are the prime factors of 2\/10 + n\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 28. Calculate the common denominator of 1\/4 and (-188)\/(-28)*v\/(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-1))\/(80\/160))\/(620\/(-15))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 66, 232, 492, 834, 1246, 1716, 2232, 2782?\n\"Answer: -2*h**3 + 59*h**2 + 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1850 = -2*d, -g + d = -0*g - 367. What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/3)\/(2\/6). Does 3 divide (6 - -1)*7\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -532 or -0.198?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 2 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -41*p**2 + 1561*p - 37. What is c(38)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/28*30 - (-1)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*l = -4, n + 3*l - 1 + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 245471 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6786708 < -6786709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let h be ((-1)\/u)\/((-3)\/174). Is h smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25859 + -24441. What is the remainder when l is divided by 237?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182918 or -181677?\nAnswer: -182918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -44*r**2 + 280*r - 5. What is b(5)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -724 + 540.87. What is p rounded to the nearest integer?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 1 + 1 + 3194 - 105*p**2 - 3194 - 2*p + p**2 + 2*p + (-2*p + 3*p + p)*(-2*p + 1 - 1) - 4*p**2 + 4*p**2 - 2*p**2 - p**2 + 0*p**2 + 2*p**2.\nAnswer: -113*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17769580?\nAnswer: 2, 5, 888479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 4\/3 (b) 0.04 (c) 11 (d) 1\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - p**2 - 4*p + 3. Let m(r) = 4*r**3 - 5*r + 3. Let n(w) = -5*k(w) + 4*m(w). What is n(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 a factor of 137176795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9144)\/(-324))\/((-6)\/(-8) - 5646\/(-24)) and -29\/108.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhaa when four letters picked without replacement from hnfnnlmnafal?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142897 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11250 is divided by 3737.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 19*m**2\/5 + 266*m\/5 + 696\/5.\nAnswer: -(m - 29)*(m + 4)*(m + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/138384 and 23\/3009852.\nAnswer: 12039408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111241 (base 7) to base 10.\nAnswer: 137327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 766515*d**2. Let v(t) = 3*t**2 - 59. Calculate v(u(o)).\nAnswer: 1762635735675*o**4 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112\/(-10)*950\/(-76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -5 - (15 - 16 - (5 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.5 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14aa4 + 787?\nAnswer: -14319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:30 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 52884933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971, -223, 525, 1273?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*r**5 + 1293*r**4 - r**3 - 4*r**2 + 5*r - 30308 wrt r.\nAnswer: -22920*r**2 + 31032*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 168. What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*z = 3*g - 37, 2*z = 2*g - 68. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 752*i + 35344.\nAnswer: 4*(i + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 1192 + 1254 - 2446.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71049 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/185760 and -25\/103248?\nAnswer: 44396640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22021?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 620693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -46. Let c = y + -11. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-6))*l**(9\/5)*l*(l*l\/(l*l*l**(-5\/8)*l*l))\/l*l\/((l\/(l\/((l\/(l*l\/((l*l**(-16))\/l)*l*l*l))\/l))*l)\/l)*l*l assuming l is positive.\nAnswer: l**(1217\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1009, 2065, 3121, 4177, 5233?\n\"Answer: 1056*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tafaufimm. Give prob of picking 1 u and 1 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1668 divided by 139\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340706 is divided by 8424.\nAnswer: 7258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, -6, -31, -66, -117?\n\"Answer: -l**3 + 4*l**2 - 26*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60707650 and 10410?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.453 - 0.053. Let u = s - 2.1. Let d = 3.3000019 - u. What is d rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(90)\/sqrt(3) + sqrt(30)))\/(sqrt(6) + -1*sqrt(96)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/36*(1 + 3)*-12. Suppose -5*x = -3*b - 25, -11 + d = -4*x - b. Is 18\/17 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/2 (b) -3 (c) 486 (d) -2\/21 (e) 0.7 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/270*(-11 - -1). Let a = -8 - -6. Let x be (a\/(-12))\/1*-2. Put x, 3, f in decreasing order.\nAnswer: 3, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)*h\/(h**(3\/14)*h)*((h*h*h*h**(-2))\/h*h)\/(h\/(h\/h**(6\/13))))**1 assuming h is positive.\nAnswer: h**(349\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 4*g)*(-15*g**3 + 4*g**3 - 19*g**3) - 12*g**3 + 189*g**2 - 188*g**2 - 22*g**4 + 11*g**3.\nAnswer: -82*g**4 - g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8)*36\/(-54). Is -9 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1326)\/(-117) + 7\/(-3). Let p(o) = 100*o**2 - 54*o - 11. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/15 + 5*k**2\/2 + 30*k - 2245. Factor s(w).\nAnswer: -(w - 30)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163781 is divided by 163743.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -1 in increasing order.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21)\/(90\/(-210)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 55*z - 56*z - 5, -4*x - 4 = 5*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/(-1480))\/(1\/(-8)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - 6*w**2 + 9*w + 6. Let o(u) = 11*u**3 + 4*u + 17 + 0 + 22*u - 17*u**2. Let k be (20\/(-3))\/5*9. Let b = k + -5. Give b*l(c) + 6*o(c).\nAnswer: -2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -33 + 8846*j**2 - 12 - 8841*j**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - (67 - (-40 + 126))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwwfvlunwfvvlnln. Give prob of picking 2 v, 1 n, and 1 w.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*q - 256*q + 96 = 221*q. What is the second biggest value in q, 1.114, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107563671?\nAnswer: 3, 11951519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167843 - 45*s + 167843.\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 693 + 1479. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/18 and -1\/4491585.\nAnswer: 8983170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27408 + -27409. Which is smaller: p or -79\/99?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599681680 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 19*m + 55. List the prime factors of j(-12).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 20. Let x be n(-10). Let r be x - (145\/(-45) - -3). Let c = -1 + 0.5. What is the smallest value in -5, r, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 2\/11 (c) -1\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(76) - -1*sqrt(76))\/sqrt(4) + sqrt(19) - (-5 + sqrt(19)*1)).\nAnswer: 30 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5\/9 - 1354*m**4\/9 - 128902*m**3\/9 - 2373926*m**2\/9 - 2664016*m\/3 - 833112 = 0.\nAnswer: -567, -87, -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 5*w - 10*w + 8 + 3*w. Suppose 0 = -9*b + 307 - 235. Let k be x(b). What is the greatest common factor of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/34*1 - (-624)\/102. Suppose -5*r = 4*l + o, -24 = -6*r + 2*r + 4*l. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a + 12*a + 14*a)*(4*a + 1 - 1)*(-63*a - 42*a + 31*a) in the form w + b*a**3 + d*a**2 + h*a and give b.\nAnswer: -5032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeffedffhcdhff. Give prob of sequence fehc.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 41 = w - 4*y, -53 = -4*w + 5*y. Find the second derivative of 4*p - 19*p**4 + 19*p**4 + w*p**5 wrt p.\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/208 and 79\/6?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10.3, -34.3, 0.065?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - z + 3*z + 20, -10 = 2*h - 4*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 6. Let l be x(7). Suppose -3 = -n + l. Solve -2 - 2 = -n*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05337 * 0.5\nAnswer: -0.026685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.944575 micrograms to grams.\nAnswer: 0.000003944575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1584) - (sqrt(1584) + 1)) + -4 + sqrt(1584) + -4 + 4*(sqrt(77) + sqrt(77)*-1 + sqrt(77))\/sqrt(7)*3)**2.\nAnswer: -2592*sqrt(11) + 38502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 u when three letters picked without replacement from {m: 2, q: 9, i: 1, u: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q\/q**(-1\/3))\/(q**(-7)*q**14) assuming q is positive.\nAnswer: q**(-125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6815 and -103\/248530?\nAnswer: 11680910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 66*p + 15696. Let w be k(-237). Let t = -156\/7 - -22. Which is the third smallest value? (a) t (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 3*m, -2*o + 12 = o + 2*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 323*y - 346?\nAnswer: 323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**7 - 6*v**3 + 6. Find the third derivative of s(t) wrt t.\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 87, -2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85645*l**3 - 203810*l**2 wrt l?\nAnswer: -513870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 1165\/12. Let y(c) be the third derivative of p*c**5 - c**2 + 0*c - 1\/120*c**6 - 1\/6*c**3 + 0 - 1\/8*c**4. What is y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 4, -0.2, -4131?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/44 - (-2)\/(-4). Let j = 9\/4 - 7\/4. Let g = -96 - -862\/9. What is the biggest value in g, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 20. Let k be t(10). Suppose 5*i - 293 = -4*u, -3*u + 5*i = -k*u - 246. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7*i - 3. Let a be g(8). Solve -2*w = -w + 2*v, 0 = -a*w + v - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 5*c - 5. Let x be o(5). Suppose -2*f - 21 = 2*d + 3*d, -d = 4*f + 33. Let g = f - x. What is the closest to -0.1 in -1\/5, g, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2240\/1540)\/(8\/(-44)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*q - 3*u, -4*u - 35 = -5*q - 9*u. Suppose 13*x - 15*x + 2*c = -198, q*c - 291 = -3*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*y - 2, 68*y - 70*y - 5*q = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 6*g = 15. What is the remainder when 29 is divided by (g - (2 + -3))\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52713366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4 + (-46)\/(-2). Let c be (-4)\/(-10) + t\/(-70). Suppose 2*z + c*z - 74 = 0. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 35. Suppose 4*l - 5*g + y = 0, 4*l - 11 - 6 = -3*g. Let t = 3 - l. What is the greatest common factor of 9 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39381 - 21664. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438395 divided by -9.\nAnswer: 438395\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:45 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3) - 2)\/((-176)\/132).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.280000605 + -0.28. Round z to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*r**6 - 7*r**4 - 36*r**3 - 563*r**2 - 12*r + 2.\nAnswer: -3480*r**3 - 168*r - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515658 + 257829 + 257829 - 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-108) - 6\/8)*-12. Which is the closest to 0.1? (a) v (b) -0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74538812 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 9*q**2 - q - 24. Calculate o(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 1, b: 1, y: 1, x: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24563.2788 from -0.666.\nAnswer: -24563.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -7*f + 19 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ccccmmmmmccmmccc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8525 - -23328?\nAnswer: 32854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - y - 2*y + (-2*y + 0 + 0)*(-1 + 0 - 1).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/(2 + 0) - 1. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d - 2. Let f be h(-6). Suppose -4*b - 5 = 5*i, 2*i = -b - 2 - 3. Suppose -2*l = 0, f = b*w + 5*l - 3*l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:14 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39171050 to the power of 1\/2, to the nearest integer?\nAnswer: 6259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15085 + -10364. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 143 + 10)*(-s - 5*s + 5*s)*(-19 - 12 - 5) in the form a*s + t and give a.\nAnswer: -6012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 + 37*n + 15. Let f be z(-6). Solve f + 3 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -4, -9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + -1*1. Let t(j) = -j**2 - 3*j + 1. Let n(d) = -1. Let m = -4 - -6. Let v(u) = m*n(u) + t(u). Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 4*r = 5*b - 15, 0 = 5*b - 5*r + 20. Let p be -1 + ((-40)\/17)\/(-2). Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2 + 2*x**2 - 3 + 3*x - 3. Let b(s) be the third derivative of -s**6\/120 - s**5\/6 - 3*s**4\/8 + s**3\/2 - 7*s**2 + 2. Let o be b(-9). Give t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 84 - 34 = 0. Solve -4*p - 5*i = 45, 3 = z*i + 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156635 is divided by 51904?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from xhxxxhhbsxhh.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 57. Let h be 1\/2 + (-5 - 1585\/q). What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15509\/11 + 19\/209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g - 1\/6*g**4 - 19*g**2 + 0 + 0*g**3. Let h(k) = 9*k**2. Give m(h(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*n + 16 = 1, 5*z = 4*n + 42. Suppose 0 = 4*r + 2 - 10. Find the third derivative of -3*d**z + 9*d**r + 20*d**6 + 7*d**2 wrt d.\nAnswer: 2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 8 = 4*x, -2*y = 3*x - 5. Suppose 0 = y*z - 7*z - 18. Let o(b) = -2*b - 6. Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -467.\nAnswer: 186.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7768836 is divided by 642.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/1855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0, 2\/11, -0.06, -4, -44 in decreasing order.\nAnswer: 2\/11, 0.01, 0, -0.06, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 12, k: 6}. What is prob of sequence gkkk?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584403 = -22566*b + 15525*b for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8604.85 and 16.\nAnswer: -8588.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.07 and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2*w**3\/3 - 3*w**2 - 223*w - 220. Let i(c) be the first derivative of n(c). What is i(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*l + 187 = 0, 6*y - 2*y + 186 = 2*l. Let w = 48 + y. Let x be -2 + (-1 - -7) + -1. Sort w, x, -5.\nAnswer: -5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:02 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7445621, 7445630, 7445639, 7445648?\n\"Answer: 9*r + 7445612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*6\/12*0 - -2. Let z(f) be the second derivative of 9\/2*f**c - 1\/3*f**3 + 0 + 5*f - 1\/20*f**5 + 7\/12*f**4. Give z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1)\/(7\/9) + (77 - 73))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6420, -25345, -56780, -100731, -157204, -226205, -307740?\nAnswer: -401815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -124, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.35642 and -0.007.\nAnswer: -0.00249494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 14*u - 11*u in the form w + y*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 543 - 544. Find the common denominator of 2 + m - (-368)\/(-72) and (71\/6 - -1) + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 272, 0.7 in descending order.\nAnswer: 272, 14, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6890577*s**3 - 5931243 wrt s?\nAnswer: -20671731*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41411 (base 5) to base 8\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*n)*(-32 + 215 + 81 + 208).\nAnswer: -1888*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3710 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 22*g = 23*g + 2014, -2006 = 3*c - g. Let t = c - -670. Solve -3*d + 5*d + 13 = -5*p, 3*d - 5*p - 18 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 48*q**2 - 63*q + 424. List the prime factors of b(29).\nAnswer: 5, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6*l = 4*l - 13445, -5*l + 13445 = -5*k. Let h = 1422 - k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let b be 4*f\/(-2)*6\/9. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*p**3 + 41*c*p**2 + 255*c*p + 5*c - 33131*p**3 - 422*p + 1 wrt p.\nAnswer: -12*c*p + 82*c - 198786*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13 + 0*o**2 + o**2 + 35. Let s be g(0). Suppose -3*q + 39 = -v, -3*q + s = 5*v - 3*v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/8*(-19400000)\/(-6). What is x rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(288) + (2 + sqrt(288))*3).\nAnswer: -144*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((2 - -9) + (-6 - 2)) - 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**4 + 524*x**3 - 6*x**2 + 4*x + 8. Let t(d) = 2*d**3 - d**2 + 9*d - 3. Let k(r) = n(r) + 2*t(r). Find the third derivative of k(u) wrt u.\nAnswer: 72*u + 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 - (4 + 16\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1010?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -2184, -3264?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 3*x. Let p(f) = 9*f**3 + 8*f. Let u(z) = 6*p(z) + 17*w(z). Determine y so that u(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/10)\/(1\/(-10)*2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -854441 - -854453.00057. Let w = -2.7 + -9.3. Let r = w + j. Round r to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -426.2.\nAnswer: 127.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059114 to four dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*m + 5*w - 67, 3*w = 2*m - 14 + 64 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = 5*s, -3*s - 2 = 4*f - 20. Let r = -248 + 251. Suppose 4*p + 2*n + 0*n = 24, -r*n + 6 = 0. Solve -23 = -f*h - 4*i, -14 + p = -3*h + 3*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24560299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/6365 and 137\/5300772?\nAnswer: 26503860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 703331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.361636l in millilitres?\nAnswer: 7361.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:40 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11595384*q**3 - 4620221*q**2.\nAnswer: 69572304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -123158, -246317, -369476, -492635, -615794?\n\"Answer: -123159*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12*j - 10 = 0. Suppose 0 = j*t - 4*y + 3*y + 1, -2*t - 21 = 3*y. What are the prime factors of 1998\/30 - t\/(-5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1164.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - j + 3*j + 90 = 0, 22192*y + j = 22186*y + 131 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q. Let p = 4 + q. Solve 0 = 3*c + c, a + 4*c + p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -360 and -7.\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 50. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -3, -30 in increasing order.\nAnswer: -30, -3, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873080*i**2 + i**3 + i**3 - 2873133*i**2 + 5746213*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 - 2290*g**3 - 2*g**4 - 2009*g**3 + 309*g**2 + 3838*g**3 wrt g?\nAnswer: -24*g - 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/5 + 814\/5*o**2 - 242\/5*o**3 - 272\/5*o = 0. Calculate o.\nAnswer: 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 - 16. Let q be z(-5). Solve -q + 186 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22765 (base 16) in base 3?\nAnswer: 21011122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378 + 366. Is 16 a factor of (1 + 7)*(-429)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 4*d - 273. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, a: 2}. Give prob of picking 1 p and 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 451 + 280 = -469 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 261 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172.2 + -173. What is the nearest to p in 0.1, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99890660 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40110 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose 0 = -x*l - 7 + 1. Is (0 - l) + 0 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Suppose 0 = -5*j - 2*y - 39, 3*y + 50 = -5*j + 9. Let v(k) be the third derivative of k**5\/20 - k**4\/24 + k**2. Give j*i(w) - 2*v(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 - -0.051. Which is the nearest to -2? (a) -4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 4. Let i be k(-4). Suppose 3*l - i - 6 = 0. Solve 4*t + 4 = 0, 2*m + 1 = 5*t - l*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1089, -20, -4, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -5\/1012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 3*a - 3*a + 6*a. Let r(b) = -15*b. Determine r(g(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/294 and 43\/2436?\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = 4*f + 29, 0 = 5*f - 5*w - 15. Let o = 516 - f. List the prime factors of o.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 13*b**2 - 31*b - 1. Let n be w(-15). Let o be (-44)\/154 + 22670\/n. Let y = -972 + o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10513174001 to the nearest one hundred thousand.\nAnswer: -10513200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103257*z = 102834*z - 40608 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 25 = 75. Let x(p) = -p**3 + 11*p**2 + 3*p - 6. Let g be x(6). Suppose -4*d = 76 - g. Calculate the remainder when d is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -3, 1 in decreasing order.\nAnswer: 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 35390241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955140691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let w = t - 6. Let d be 2\/6 - 98\/168. What is the nearest to -1 in w, d, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*26\/195*6\/(-18).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 2*x + 12, 549*q - 519*q - 4*x = -136 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in 4, 2\/3, 911?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**5 - 3*i - 2*i**5 + 0*i**5 - 2*i**5 wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24813*f + 2*f**3 + 24813*f + 4*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6032\/15 - -402. Which is the closest to -1? (a) t (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5700\/(-67080) - ((-8)\/28 - (-216)\/903)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-54) + (-2)\/3)\/((-1494)\/332)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/45*6*2\/(-8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -999709 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279 divided by -5.\nAnswer: 279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 139\/((-11259)\/(-18))*(1 - 2105\/(-10))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 1)\/(-2 + 1). Suppose -x - 21 = -8*x. Suppose -x*r + r = -5*s + 1861, 5*s + d*r = 1871. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(40)\/sqrt(32))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144970632 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 1491?\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/((i\/(i**(-3)\/i*i))\/i))*i**(-30))\/(i**(-3\/13)\/i)**27 assuming i is positive.\nAnswer: i**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 69072191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 48 (c) 4480\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003110280.\nAnswer: 2, 5, 25077757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 12. Suppose 0 = 4*s + 4, o*i + 0*s - 5*s = 0. Let x be (i + (6 - 0))\/1. Let k(b) = 2*b. Calculate k(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslsl. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 4, e: 1, d: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 3, 4, -5.\nAnswer: -51, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6147971559488 + -0.05.\nAnswer: 6147971559487.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-183*1*(-54)\/(-162))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010110000110 (base 2) to base 6.\nAnswer: 143234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g + 25\/2*g**2 + 2 + 5\/3*g**3 + 1\/12*g**4. Let j(z) be the first derivative of u(z). Factor j(c).\nAnswer: (c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.5 (b) -6 (c) 102\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 4*h - 13. Let d be j(7). Calculate the greatest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17)*-3*3)*-3)**2 + 5.\nAnswer: -162*sqrt(17) + 12407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 + 7*v**3 + 180*v**2 + 848*v + 1216 = 0.\nAnswer: -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 - 50 + 9*i**2 + 3*i**2 + i**2 - 5*i**2 + (-1 + 3 - 3)*(-3*i**2 + 2*i**2 + 2*i**2).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3618 and 46644462?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8540655 - 0.4\nAnswer: -8540655.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + (2 - 20\/16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 4200 = 9*s. Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2 - -3*1)*40. Let j = s - 450. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129 + 2101*h**3 + 377 + 2*h**2 + 79 wrt h?\nAnswer: 12606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -3496\nAnswer: -21\/3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q + 3*q**3 + 178*q**2 - 2*q**3 + 26*q.\nAnswer: q**3 + 178*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 343569.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 16 = -4*f, f - 78709*b - 19 = -78713*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36139 + -36140. Let i = -169\/5 + 34. What is the nearest to 2\/3 in 1, i, 8, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:36 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6 + 5)*(-3*j + 5*j + j) as v*j + o and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -13420?\nAnswer: 13420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 186*t + 2033. Give c(11).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20 - 0 - (-52)\/((-2080)\/(-92))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:15 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725*d**3*v + 219713*d**3 - 1528*d**2*v - 118035*d**2 wrt d?\nAnswer: -4350*v + 1318278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*y**5 - 3*y**3 - 62*y**2 + 935590*y.\nAnswer: -4840*y**3 - 18*y - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*h + 119*h + 2158 = 63*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 0*g - g)*(-2 + 2*g + 2) - 256*g + 256*g - 67*g**2 to w + u*g + m*g**2 and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 104\/1 - -3*1. Suppose -2*p + 103 - t = 0. Let g(l) = 3*l**2 + 3*l + 2. Determine g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 - 25*f**3\/2 + 745*f**2\/2 - 2015*f\/2 + 825\/2 = 0. Calculate f.\nAnswer: -11, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 15. Suppose 2*q - 15 = -x*f + 10, 3*q + 5*f - 25 = 0. Let o(t) = t**2 + 23. Is o(q) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4093591 in -0.4, -6, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184364039 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(12)\/sqrt(4) + 0.\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54043817 + 54043814.69999916. Let l = 2.3 + y. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 24.17?\nAnswer: 12.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 13. Let s be f(-3). What is the closest to 1\/4 in s, -3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 - -1 - -2). Let h(v) = v**3 - 5*v**2 + 3*v + 2. Let s be h(t). Let q = s + 11. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-450)*-60*25\/(-45).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 1. Let b be (-9)\/(-27) - 2\/6. Suppose b*t + 2 = 2*t. What is p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 16. Let f(h) = 855*h - 24. Let z be f(i). Let l = -1963 - z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 42. Let u be (q\/(-6))\/((-3)\/(-747)). Let w = u + -87. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 104. Differentiate -16*i**2 + 51*i**2 - 16*i**2 + n - 17*i**2 with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 1673*r + 639*r + 11 in the form h*r + b and give h.\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 152, 620, 1400, 2492, 3896?\n\"Answer: 156*j**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/9, 0.3, 2, -5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 14180709.6786 and -0.0134.\nAnswer: 14180709.6652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1964 = 92*m - 398*m - 484. Sort m, -3, -32, 0.\nAnswer: -32, m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -2*v + 5\/6*v**3 - 1\/120*v**6 + 16\/15*v**5 + 0 + 1\/6*v**4 - 6*v**2. Find the second derivative of i(b) wrt b.\nAnswer: -6*b + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + b = -8, 355*b - 172 = 4*f + 306*b for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j*j*j**(-3\/7)\/j*j*j)\/((j\/j**(2\/5))\/j*j*j**(2\/9)) assuming j is positive.\nAnswer: j**(761\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55093, 110209, 165325, 220441, 275557, 330673?\n\"Answer: 55116*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 62, -1, 3 in ascending order.\nAnswer: -1, 3, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 divided by 13?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84960727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:48 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1850*j + 264 = -1938*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-18)\/30 - 88\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 377784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-61)\/(-3). Let q = a - -45. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0 + 2*c**2 + 16*c - 15 - 5*c**2 + 4*c**2. Let y be j(-9). Is (-5 - -3)\/(3\/y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101000001011 (base 2) to base 11.\nAnswer: 636a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 - 39 = 2*q - 5*o, -5*o = -5. Let a be q\/48 + (-2)\/16. Let r(k) = -4 - a + 6 + k. Let h(f) = -13*f**2. Determine r(h(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3\/8, -5, 2\/5, 13\/8 in descending order.\nAnswer: 13\/8, 2\/5, 1\/5, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 358800 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 2364 = -4*j, 2*s + 5*j - 1182 = 0. What are the prime factors of s?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095940491 rounded to six decimal places?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 2741\/16. Find the common denominator of 115\/6 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 0 - (64 - (55 - -28)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000156972 rounded to 6 decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 66 = -s, -5*s + 162 = 3*j - 154. Solve -162 = -s*w - 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1 - 3*t - 3 + 2 + 5. Let n be a(3). Let m(r) = r**2 + 4*r - 6. What is m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d - 12 - 10*d - d - 3*d + 5*d + 0*d - 4*d + d + 2*d + (0 + 2 - 4)*(-d - 2 + 2).\nAnswer: d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 1. Let z be (o\/(-2))\/((-3)\/(-4)). Let f = z + 15. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6873 - 6010. What are the prime factors of k?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, v: 15, c: 2}. Give prob of picking 1 v and 2 c.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -58 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -7, -33, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 9*z + 7. Let m be q(0). Solve -9 = -2*p - m*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*k - x, 2*x - 5*x = k - 49. Let d = -10 + k. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:35 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(1\/(-6)*-7). Which is the closest to -3? (a) 0.5 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8686*y**3 + 2282*y**3 - 1701*y**3 - y.\nAnswer: -8105*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2071 divided by 10\nAnswer: 2071\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 79*x. Let l(c) be the second derivative of -c**4\/6 + 37*c**2\/2 + c + 344. Calculate l(b(q)).\nAnswer: -12482*q**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 2, o: 3, p: 2, l: 4, r: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 10.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3401?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625942 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 4*j - 5 + 4. What are the prime factors of p(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(-6))*n\/(n*(n**(-5)\/n)\/n*n))\/(n*n**(-2\/5)*n*n*n**(-3\/2)*n))\/((n**(-12)\/n)\/n*n**(1\/4))**(-4\/21) assuming n is positive.\nAnswer: n**(-781\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 274, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202170, -404341, -606512, -808683, -1010854, -1213025?\n\"Answer: -202171*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 6 - 16) + 6 + -7 + -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964693?\nAnswer: 83, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6056\/168 - (-55 + 91)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3751824 divided by -3\nAnswer: 1250608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + 15\/10 + 1. Let s(y) = 2*y - 5. Let z(w) = w - 2. Let t(u) = -6*s(u) + 14*z(u). Determine t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 - 2*b - 1. Let p = 508 - 500. Let i be ((-6)\/(-2))\/(12\/p). Give d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3 + (-3 + -1)\/12. Suppose 0*c = 4*c, c - 15 = -h*s. Suppose -s*k = -2*k - 69. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347854 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 841148 minus 12.5?\nAnswer: 841135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 = -2*w, -2*a + 26 = -0*a - 5*w. Solve 7*t - a*t = -2*s + 8, 0 = 3*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 190*b**2 + 141904*b\/5 - 6377056\/5.\nAnswer: 2*(b - 196)**2*(b - 83)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -36231?\nAnswer: -11\/36231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413.8 + 414. Which is the nearest to 0? (a) -7\/6 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 349.21?\nAnswer: -104.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w + 5. Let b(o) = -o**2 + 9*o + 5. Let x be b(9). Suppose x*g = s + 17, -8 = 4*s - 0*s. What are the prime factors of d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 - 6492904*a**3 + 2634849661236*a**2 + 10539476559920*a + 10539502531600 = 0. What is a?\nAnswer: -2, 811615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4\/4 - 120*f**3 - 9837*f**2\/2 - 9480*f - 18723\/4 = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3190253 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 + 2 = 0. Find k, given that -3*k**4 + 5*k**2 + 5*k**4 - 9*k**2 + 2 + 4*k**3 - w*k**5 + k - 3*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.012, 2\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026*r**2 + 10*r**3 + 52*r**2 - 35*r**3 + 16*r**3 + 10*r**3.\nAnswer: r**3 - 974*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/3*u - 4\/3*u**3 + 0 - 32\/3*u**2.\nAnswer: -4*u*(u + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -8\/3*d**5 + 0 + 0*d + 0*d**3 + 35\/6*d**4 + 29*d**2. Find the second derivative of k(c) wrt c.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123269586?\nAnswer: 2, 3, 11, 137, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 48*d**2 + 155*d - 123. What is i(51)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 981 + 171. Does 48 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/228 and -35\/418.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/132)\/(-1)*33\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwqqnwwqnnnnnq. Give prob of picking 3 q and 1 w.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 4*g**2 - 8*g - 3. Let x(s) = -s**2 + 10*s - 11. Let j be x(8). Let y(m) = m**3 - 3*m**2 - 9*m + 1. Let u be y(j). Does 17 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p - 12*p - 8*p - 32. Let c be h(0). List the prime factors of (-1)\/(-4) + (-1112)\/c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 727284*h**2 - 1287*h + 16.\nAnswer: 1454568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 63. Let v(g) = 1 - 5*g**2 - y*g**2 + 6*g**2 + 5*g**2 + 3*g. What is v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013375 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b1c - a?\nAnswer: 7b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 585006203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62531222 (base 7) in base 13?\nAnswer: -1125c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259 + 1663 = 160*q - 1418 + 820 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -82. Let o(z) = -z**3 - 5*z**2 + 2*z. Calculate o(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktj when three letters picked without replacement from dtkjkdkjknpnjkn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10126889 is divided by 1249?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -95)*4\/5. Let h = k + 244. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*65\/(-520)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674846628?\nAnswer: 2, 7, 13, 29, 158663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313285072, -313285071, -313285070, -313285069?\nAnswer: -313285068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:48 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -63. Differentiate -13 - 5 - 12*o**4 - c*o**4 with respect to o.\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(152) + -2*sqrt(152)) - 4*(sqrt(152) - -1*sqrt(152)))*-3)\/(sqrt(16)\/sqrt(98) - sqrt(648)*3).\nAnswer: -63*sqrt(19)\/188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 22*p - 6. Let q be (-3 - -2)*(-5 + 16). Let w be g(q). Let h(l) = -l - 10. Calculate h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309672.\nAnswer: 2, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3622222 by 691.\nAnswer: 5242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96030 and 30?\nAnswer: 96030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 11 = -5*k - 9, 4*k = 4*s - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0404, 2, 6, -5, 0.09?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -4.7\nAnswer: 0.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 73177.2 nanoseconds?\nAnswer: 0.0731772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**6 - 2*n**2 + 35*n**2 - 6*n**6 + 5*n**6 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377 + -384.95. Let k = r - -7.95953. Round k to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:39 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1, -3, -40 in ascending order.\nAnswer: -40, -3, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 10:34 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -455.495 and 26333428?\nAnswer: 26333883.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*q + 52 + 23 = 1290*q + 5*t, 3*t - 69 = 4*q - 0*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 76*d**3 - 416*d**2 - 704*d = 0. Calculate d.\nAnswer: -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318049575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -299315, -299317, -299357, -299453, -299623?\n\"Answer: -3*d**3 - d**2 + 22*d - 299333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 4*f + 4. Let y(z) = z**2 - z + 2. Let j(x) = -i(x) + 4*y(x). Suppose -l + 39 = 3*l - 3*k, 9 = -l - 3*k. Suppose -l*r = -r. Give j(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 2. Let o be b(4). Let n be o\/(-4)*80\/24. Let t(w) = w + 4. List the prime factors of t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22405.5 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443278 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q - 4818 + 292*q**2 + 7*q - 643*q**2 - 269*q**2 + 0*q wrt q?\nAnswer: -1240*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c067 (base 14) to base 3.\nAnswer: -1200021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 12:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f**2. Let h be u(1). Let r be (5 - 2)\/((-21)\/h). Solve i = -4 + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 174\/(-24) + 6\/(-8). Let d be x\/(-20)*(-10)\/(-2). Let c = 2 + d. Solve 3*s - 1 = -c*z, 0 = 3*s - 5*s - 3*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 13. Let i be r(-11). Let j(p) = p**3 + 3*p**2 - 1. Let b be j(i). What is the common denominator of (-305)\/105 - 2\/b and -13\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245132?\nAnswer: 2, 11, 131, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-33\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 11*m**2 + 13*m - 3. Let o be (0 + 10)*(-6 + (-108)\/(-15)). Let w be i(o). Solve 14*a - w*a + 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2 + 3 + (sqrt(275) - (sqrt(275) + sqrt(275) + 0))**2.\nAnswer: -2*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 24*j + 2649124. Let l(v) = -3*v. Calculate l(b(w)).\nAnswer: -72*w - 7947372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 8, -2*t = 5*g + 59334996. What is g rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 2. Let g(b) = b + 10. Let s be g(o). Let a be (3\/18)\/(s\/(-4)). Sort 0.2, 2\/9, a in decreasing order.\nAnswer: 2\/9, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g\/(g**(6\/7)\/g))*g**4*(g**0*g)\/g**(-4) assuming g is positive.\nAnswer: g**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/102)\/((-114)\/171).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(-2))\/(6\/(-8)). Let z be (x*1)\/(4\/(-16)). Let n = z + 109. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/100 - a**4\/20 + a**3\/10 - a**2 + 4*a. Solve x(b) = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 t when four letters picked without replacement from mjtejjmemmteemttm?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133 - -367?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1329, -3049, -4769, -6489?\n\"Answer: -1720*c + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from {b: 3, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*w - 179 = 0, 2*x - 175 + 72 = -3*w. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erllmwdwmlrlew. What is prob of sequence lemr?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvvwvfvwsssvsf. Give prob of sequence sv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 5*z. Let r(x) = x**3 - 9*x + 11 - x**3 - 2 + 10*x**2 - x**z. What are the prime factors of r(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (0 - (-3 - -2 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/19, -0.218, 2\/9, -3?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 24 = 3*z, 5*f - 20 = -z - 0*z. Solve 3*x + 5 = -z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641846 is divided by 32193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 4*w - 4. Let c(a) = a**2 - 5*a + 5. Let k(p) = 4*c(p) + 5*f(p). Let n(d) = 148*d**2. Give k(n(r)).\nAnswer: -21904*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 3, c: 5, n: 1}. What is prob of picking 1 c, 1 p, and 1 n?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31674212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**6)**(7\/3) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 864 + 403. Suppose -8*z - j = -15*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = y, 2*r + y = 0. Suppose 2*c - 8 = -r*c. Suppose -c*j = -j - 9. Solve 4*i = j*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l = -10*l - 17*l - 8*l + 6468 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from {v: 1, c: 1, b: 2, l: 1, h: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -14 - 13. Suppose 0 = -4*b + 3*v + 91, -3*v - m - 63 = -3*b. Solve b*q = 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -49. What is the remainder when c is divided by (-9)\/(-15) - (-282)\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103102111 (base 5) in base 4?\nAnswer: -1223221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 113\/3. Calculate the common denominator of m and -55\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -3, 2, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 7. Let m = y - 7. Sort m, 5, 0 in descending order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/21*-1*9 + -4. Solve -a*b + b = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610\/(-61)*(-54)\/315\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + e9b7?\nAnswer: e99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3243*i + 287024. Determine n(91).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 14*d**2 - 13*d + 19. Let k be n(-13). Suppose -2*l + v + k = -3, -46 = -2*l - 5*v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l - l**3 + 8 + 4 - 3*l**2 - 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 - 223.7. Let q = -80.2 - y. Which is smaller: 2\/25 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -253525*u. Let n(q) = -30*q. What is n(k(w))?\nAnswer: 7605750*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69809717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 95*p**3 + 30*p**2 - 60*p - 50. Let v(o) = -3*o**3 - o**2 + 2*o + 1. Give -b(j) - 30*v(j).\nAnswer: -5*j**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.161513nm?\nAnswer: 0.000000000161513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26416 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1325 - -458?\nAnswer: 177d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920862312?\nAnswer: 2, 3, 113, 457, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*c - 180 = -167, -u + 2*c + 19 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/85 and 119\/65208?\nAnswer: 5542680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.24 + 62.044. Let b = 0.804 - i. What is the third biggest value in 3, 3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*a + 20 = 0, -4*a = -x - 4*x + 4. Let j(p) = -3 + x + 10*p**2 - p - p. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 471*j - 1. Let a(y) = -y - 5. Let t be a(-6). Let i be k(t). Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 91*x - 7. Let a be r(2). Suppose 0 = -174*y + 181*y - a. Solve -y*d = -24*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxxxxxxxrx.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.19457\nAnswer: -0.097285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r - 31. Calculate the remainder when 6\/(-8)*(-9 - -1) is divided by i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -26. Let y = j - 13. What is the nearest to 0 in 4, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbivp. Give prob of picking 1 p and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80 + 46 - -17) + (1 - -40).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1489 and 1624 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 30. Let v be (2 - 45)*-1 - (2 - 2). Let o = v + l. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332, -2\/25, -0.3, 811.\nAnswer: -332, -0.3, -2\/25, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45890 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0656 times -0.3?\nAnswer: -0.01968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 145778982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -12*j**3 + 32*j**2 + 20*j - 24 = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 133*s**3 + 6*s**2.\nAnswer: -133*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:01 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + 43.8.\nAnswer: 43.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 149315*o**2 + 74669*o**2 + 74646*o**2 - 1 + 151*o**3.\nAnswer: 151*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + 3. Let s = -1969\/12 + 164. What is the biggest value in 5\/6, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*d**2 - 7*d - 11.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3587188.2 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*w = w - 25, 0 = -5*p - 4*w + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 3\/2, -15, -0.9, -2\/245, 4 in increasing order.\nAnswer: -39, -15, -0.9, -2\/245, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 399*p**2 - 207*p + 1499. Calculate s(199).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-99 - -3)*(-2)\/4. Suppose 0 = 3*k - 0*k - n. Let x be 24\/k + (0 - 3\/18). Is 0 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*v - 425 = 4202 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60790.\nAnswer: 2, 5, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.76499 - 0.03501. Which is the nearest to x? (a) -3\/2 (b) -13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izxi when four letters picked without replacement from xzxixxzxzxxxxxxziixi.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 112?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 18*v + 17.\nAnswer: (v - 17)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 16*q - 38. Let o = -211 - -199. Is d(o) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 107216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 24 = 0. Let g = -349798 + 349811. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**9\/25200 - s**8\/11200 + s**7\/4200 + s**6\/1200 + s**4\/24 - 3*s**2. Let j(t) be the second derivative of u(t). Factor j(n).\nAnswer: -3*n*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 828.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11838 + -7914. Suppose 3*l + t = -l. What are the prime factors of l\/(-36) + (-1)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 3, u: 4, j: 3}. Give prob of sequence su.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1 (c) 224 (d) 0.2 (e) 9 (f) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-25 + 20) - -16 - 50\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + -1*(-3 + sqrt(720)) + ((sqrt(120) + sqrt(120)*1)\/sqrt(2))\/(-2*sqrt(588) + sqrt(588)).\nAnswer: -86*sqrt(5)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -259850.\nAnswer: 25985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -1.11?\nAnswer: -0.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*q - 18277 - 44616 = -16895 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71584 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 14 = -2*i, -3*j - 2*i + 49 = 7. Suppose 0 = -3*l - 2*q + j, l - 7 = -q - 1. Solve 1 = l*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 3440?\nAnswer: 3440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 744 in decreasing order.\nAnswer: 744, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 35. Let c be a + -1 - (-38 + -3). Suppose c = p - 51. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578181046 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/4)*a)\/a*(a\/a**(-6))\/a)\/(a**(-3)\/((a**(-1\/8)*a)\/a)) assuming a is positive.\nAnswer: a**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2926816.\nAnswer: 2, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 14, -3\/19, -4\/9?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10470*z**2 + 325*z + 22?\nAnswer: 20940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*u - 2*u**2 + 223*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0, 27, -14?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z + 3. Let m be q(-4). Suppose -j + 3 = 0, a - 6*a + 4*j = 17. Let t = a + m. What is the smallest common multiple of t and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -33. Let u = 26 - h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16249, 61938, 137055, 241600?\nAnswer: 375573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 5. Sort s, -3, 1 in descending order.\nAnswer: s, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12221 + -7968. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -971427*x**3 - 25*x**2 + 228*x - 3 wrt x?\nAnswer: -5828562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -715764703*p**5 - 1093348687*p**2 wrt p?\nAnswer: -42945882180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 7*c. Let m be (1 - 14\/(-4))*66\/(-99). Let t be (115 - -1)*(m + 4) - 2. Let s = -105 + t. Give h(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 + 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -3*a**5\/5 + 27*a**4\/4 - 75*a + 282. Find the first derivative of v(h) wrt h.\nAnswer: -12*h**3 + 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-6 - 0) - (22 - (42 + -20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4*(-3*sqrt(64) + sqrt(64)))\/(1*sqrt(32)))**2 + -2.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/w*w**(4\/7)\/w assuming w is positive.\nAnswer: w**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 + 19*i - 21. Determine a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4794 - -28849\/6. Find the common denominator of 485\/(-60) - (-1 + 1) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let f(l) = 4*l**2 - 39*l + 6. Let s be f(10). Let j = s + -3. What is the smallest common multiple of j and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 167. What is k(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 2*t**5 + 3*t**4)*(-1 - 1 - 4) + 3*t**3 + 2*t**5 - 3*t**3.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 4 = -6*y + 5*i, 5*y - 2*i - 19 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2112, 1877, 1566, 1179, 716, 177?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s + 28*s - 80. Let z be (224\/s)\/(4\/(-10)). Calculate the greatest common factor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 418\/(-99))*1\/21. What is the closest to -2 in -2, 1, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-12)\/(-2106))\/((-4)\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36532 by 18.\nAnswer: 18266\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + o**2 + 2*o**2 - o**2 + 0*o + 0*o + (-4*o + 3*o - 3*o)*(4 + 11*o - 4).\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g. Let s(m) be the third derivative of -1\/6*m**3 + 0 - 11\/24*m**4 - 13*m**2 + 0*m. Suppose b = -39 + 36. Give b*s(o) + 8*i(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/11, 1\/2, -4\/5, -0.2, 0.27 in descending order.\nAnswer: 1, 1\/2, 4\/11, 0.27, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2016)\/180)\/(-70*(-10)\/6000)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvd when three letters picked without replacement from {u: 1, d: 1, v: 7, n: 4}.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9421309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959417130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 1. Let u(c) = 3*c + 18. Let y(g) = -6*p(g) - u(g). What are the prime factors of y(22)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/10 - 1\/(-2). Let p be 1*o - (-17 + -4). Let f(d) = -p + 23 - d. Let i(h) = -2*h. What is i(f(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) 23\/50 (c) -333 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**3 - 2*i**2 + i + 2. Let a be b(2). Let d = 84 + a. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Let t = -0.24 + 0.2. Let v = t - 0.26. Which is the nearest to -2? (a) v (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 43*u**2 + 9*u**5 + 21*u + 35*u**5 - 16*u - 41*u**4 - 4 + 2 - 49*u**3 = 0. Calculate u.\nAnswer: -1, -1\/4, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, h: 1, e: 1, c: 1, j: 1}. What is prob of picking 1 w and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g**3 - 9*g**3 + 161*g**3 + 6 - 6.\nAnswer: 246*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*l + 64 = 22, -2*j + 3*l + 26 = 0. Suppose 2*s - j = s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874515 (base 9) to base 4.\nAnswer: 1333112312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3533*u - 67323 - 42200 = 0 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13789 is divided by 82.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -521.4 - -521.9. Which is the third smallest value? (a) w (b) 0 (c) -1\/62 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -12, 4, -5, 5 in ascending order.\nAnswer: -12, -5, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 220\/9 (b) 0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 27.5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0054 and 117.\nAnswer: 117.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 16.\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9a00 (base 11) to base 3\nAnswer: -200002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000723428 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/176*4)\/(35*31\/2604)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1773 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-63)*651\/(-35))\/(4\/(-6))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056 + 493 = 31*p - 1082 - 1678 for p.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 30*b**3 - 24*b**2 + 24*b - 6. Let a(d) = -35*d + 2*d**3 + 34*d + d**2 - 3*d**3. Let l(j) = -24*a(j) - m(j). What is the derivative of l(c) wrt c?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 8*s - 23. Let b(z) = z**2 + 21*z - 16. Let g(j) = 3*j**2 + 59*j - 45. Let q(p) = -14*b(p) + 5*g(p). Calculate m(a) - 6*q(a).\nAnswer: -2*a**2 + 2*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(6)*2))\/(sqrt(28)*3) + (sqrt(108) - (sqrt(108)*1*5)**2)*3 + -4.\nAnswer: -8104 + 217*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(8)\/sqrt(4))**2 - (sqrt(2) + (sqrt(2) + 0)*6).\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25411, -50932, -76563, -102310, -128179, -154176, -180307, -206578?\nAnswer: -232995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4262936289 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73597 is divided by 121.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4 - 4 - 4 + 4 - x - 2*x + x + 2*x + (0 - 4 + 3)*(x + 5*x - 4*x) + 0*x - x + 0*x + 101 - 6*x - 101)*(-14 - 26 + 0).\nAnswer: 280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.6891km to micrometers.\nAnswer: 788689100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -11*g + 24. Solve -g*r + 0 = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 29 = 4*l, -3*l + 6*f = f. Suppose 0 = -7*p + 2*p + l*n + 100, -4*p = 4*n - 88. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 102*o**3 + o**2 + o - 1. Let l be v(1). Suppose l = 4*d - 305. Calculate the remainder when d is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.34451 - -9.34. What is f 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 xth term of 9069, 21828, 34587, 47346, 60105?\n\"Answer: 12759*x - 3690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (0 - 3) - 2. What is the lowest common multiple of -12 - (48 - 46)\/((-1)\/14) and (1 - 31)*c\/6?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122000212001 + 1000?\nAnswer: 2122000220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/120)\/((-114)\/(-48)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 - 30 - 1 + 2 + 0 + (1 + 1 - 3)*(3 - 1 - 1) - 3 + 5 - 4)*(0*i**4 + 4*i**4 - 5*i**4)*(-1 - 2 + 2).\nAnswer: -41*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**19)\/x*x*x**(-17))\/((x**(-4)*x)\/x*x*x**(7\/5)\/x))**(2\/15) assuming x is positive.\nAnswer: x**(56\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - 2*y + 7. Let b(o) = -25*o**2 + 10*o - 30. Give -2*b(f) - 9*r(f).\nAnswer: -4*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/3 (c) 1\/9 (d) 0 (e) 34\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10232103 + 10?\nAnswer: 10232113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3375*r + 1681*r + 1689*r - 562*r**2 in the form u*r**2 + a + y*r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21825 divided by -7?\nAnswer: 21825\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -20215700 to the nearest one hundred thousand.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -392101, -392085, -392071, -392059?\n\"Answer: -d**2 + 19*d - 392119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 2\/9 (b) -14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 26*q**2 + 90*q - 1098. Determine r(24).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2)*4\/8. What is the second biggest value in 1\/7, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143 + 147.7. Let z = a + -5. What is the second smallest value in 1, -7, z, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let s(g) be the first derivative of 0*g + 2*g**2 + 62 - 13\/3*g**3. Calculate s(x(t)).\nAnswer: -52*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(236\/16 - 4\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1338275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*(-1215)\/180 - 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s - 152. Let b be y(8). Which is smaller: b or -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9792020, -9792013, -9792006, -9791999, -9791992, -9791985?\n\"Answer: 7*f - 9792027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1565104255 divided by 5\nAnswer: 313020851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191.92 + 191.929789. Round n to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivie when four letters picked without replacement from ivievdeiwwiwidevdie?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.4558 + 49.4. Let z = 6.0558 + r. Sort 2, z, 0.01 in ascending order.\nAnswer: 0.01, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 0.6251?\nAnswer: -0.056259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82185 is divided by 231.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-9 + -8 + -4 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*w + 27, -160*f - 1 = -164*f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6242894 and 11221?\nAnswer: 1429622726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w + 1337. Let r(l) = 15*l + 1. Determine -p(d) + r(d).\nAnswer: -d - 1336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100 - 110100011111?\nAnswer: -110001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(18)\/((sqrt(18)*4)\/sqrt(6)))\/(sqrt(22)\/(5*(sqrt(11) - -4*sqrt(11)) + sqrt(11))))**2)*-1.\nAnswer: -499\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -28332*b**2. Let n(i) = 431*i**2. Calculate n(p(a)).\nAnswer: 345964658544*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 264143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 + 15\/(-9)*1254\/(-190) is divided by 234.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7 - 19*g + 10*g + 5*g**2 + 15*g. Let q(s) = -4*s**2 - 7*s + 8. Let h(j) = -6*q(j) - 5*v(j). Calculate h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:43 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14*(63\/(-90) - (-1)\/5). Let a be 2\/4*0\/(l - -15). Suppose -2*j = -a - 102. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5559443 is divided by 163513.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*o, 16*u - 2 = 19*u - o. Let k = -6 + 2. Let r = 0.3 - -0.7. What is the nearest to 0.1 in r, u, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9686 and 667.\nAnswer: 222778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60663979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (-232 + 103 - 70)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + 0.03. What is the smallest value in -2, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(76)*-2*6)\/(4*(6*(sqrt(4) - (sqrt(4) + -2*sqrt(4)) - sqrt(4)) + (-2*sqrt(256) - sqrt(256))))*3.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0778 - 0.077801319. What is i rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(6 + 19\/(-3)). Let m(c) be the third derivative of 0*c + 1\/120*c**6 + 0*c**h + 0 + 3*c**2 + 1\/24*c**4 - 1\/30*c**5. Find s such that m(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3202172 milligrams to grams.\nAnswer: 0.0003202172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -29*q**5\/5 - 37*q - 1. What is the derivative of f(h) wrt h?\nAnswer: -116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(-a + 0*a - 2*a)*(2 - 9 - 5).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-2)\/(-120))\/(4\/(-8))*10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a + 2*a**2 + 63*a - 23*a.\nAnswer: 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330518.\nAnswer: 2, 59, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 63547, -2 in decreasing order.\nAnswer: 63547, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -822*b**4 - 4*b**3 - 133*b**2 - 4. Let t(z) = 824*z**4 + 3*z**3 + 128*z**2 + 3. Let p(l) = 3*s(l) + 4*t(l). Find the third derivative of p(i) wrt i.\nAnswer: 19920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 3, 0.4, 0.1, -52, -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19429427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 128 = y - 3*y, 4*y + 3*u = 266. Let b = y + -172. Let l be (-2)\/(-1) + (2 - b). Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (-12 - (-72)\/9). Is ((-3)\/d)\/((-154978)\/77492 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5, 0.1, -204272?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, p: 7}. Give prob of picking 1 p and 1 o.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*t**2 - 1358*t**2 + 681*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211221011100 (base 3) to base 11\nAnswer: 289135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let u = -3 + y. Let j be (-80)\/44 + u\/11. Which is the nearest to -1\/7? (a) -0.4 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i - 17*i - 23*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -448 - -5?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 32*u - 68*u + 35*u)*(-6 + 3 + 2) to the form v*u + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -490008815?\nAnswer: -490008819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184644, 184662, 184680, 184698?\nAnswer: 184716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:57 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -464, -688, -902, -1106, -1300, -1484?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.135 and -4.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 divided by 359268?\nAnswer: -59\/59878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 2\/13 (c) 655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1172.\nAnswer: -1\/1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 666 = 2*a, -a + z + 3*z + 343 = 0. What is the remainder when a is divided by 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2 - 9*q + 2. Let b = 92 + -96. Let w be k(b). Let g = w + 42. Solve -2*o - 5*r + 12 = 0, g = 2*o - 5*r - 2 + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/278 in -2\/3, 2\/9, -51?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 0 = 5*q, 3*g + 4*q + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101574072.\nAnswer: 2, 3, 23, 83, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 100001100011010010100?\nAnswer: 100001100011010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137078\/23 + 5959. Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/455*5*(12\/(-3))\/8\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769 + -757. What is the smallest common multiple of 60 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047534 + 28.9389032.\nAnswer: 28.8913692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.0453 to 0 dps.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 7:57 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 990, 168, -4240, -14028, -30990, -56920, -93612?\n\"Answer: -299*r**3 + r**2 + 1268*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56213753.9 rounded to the nearest 10000?\nAnswer: 56210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -6 (b) -5 (c) 0.4 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53467462 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 2. What is b(-12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -85855.\nAnswer: -17171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 2145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9004 + 9110. Solve -6 - p = 16*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266748374 to the nearest integer?\nAnswer: 16332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6284756, 25139027, 56562810, 100556105, 157118912, 226251231?\nAnswer: 307953062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.279 - -2.479. What is the closest to -3.2 in -2\/5, -2\/7, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*k - 3 = 0, -4*k = -5*l - 0*k + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210694 is divided by 274?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-567)\/(-4))\/(-21))\/((-6)\/16). Suppose 0 = -3*n + x + 18. Solve -4*d - n = 0, 3*u + 6*d - d + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -477\/2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + 10)*4\/(12\/3153).\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182168, -182388, -182608, -182828, -183048, -183268?\n\"Answer: -220*j - 181948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22926*y - 114845*y - 15357*y + 27268*y.\nAnswer: -125860*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Let t(d) = -2*d**2 + 4*d + 4. Let g(m) = -m**3 - 4*m**2 + 2*m + 4. Let n be g(-4). Let c(a) = n*r(a) + t(a). Let b(q) = q. Determine c(b(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = -28. What is the hundreds digit of 441 - 0 - (5 + (q - -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -262557\/619?\nAnswer: -262557\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 20 - 8. Is 199 - 2\/q*0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -103517281 and -103517284 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46464 = -81*f - 610*f + 163*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:58 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443 (base 6) in base 16?\nAnswer: 4e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6693358\/342 + 2\/(-9)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849 - 35 = -126*u + 880 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {m: 1, k: 1, q: 1, w: 2, l: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmum. Give prob of sequence mu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 6 - c + 4*c**2 - c**2 + 3*c**2. Let x(b) = -6*b**2 + 3*b - 17. Determine -11*q(a) - 4*x(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**3 - 3. Let n be -1 - -1 - (4 - (4 - -1)). Let z(t) = -1. Give n*m(l) - 3*z(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.487993 rounded to 2 decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from mdjmdkkkddhkdmjmmjj.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -22. Solve h + 12 = -f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 763, 639, 207, -683, -2181, -4437?\n\"Answer: -25*k**3 - 4*k**2 + 63*k + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-36) + 0 - (-9)\/(-54). Sort 3\/13, -0.01, z in descending order.\nAnswer: 3\/13, -0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (8 - 2)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 less than -325584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 3*w = 19*w. Is -19\/156 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, -38035, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -14. Let o(y) = 166*y + 8. Let m be o(h). Round m to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllllllyl. Give prob of picking 3 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.6 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 2\/7 (c) -15 (d) -1\/6 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62748 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o**4 - 2)*(-1 + 6 - 3) + (2*o + 0*o**3 + o**3 - 2*o**3)*(-2*o + 3 - 3).\nAnswer: 6*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1915 = m, -3*m - 432 = -456. What is the remainder when 663 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8950*a - 83898 = 106497 + 239205 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 0.9. Let y = -46 + 44. Suppose 4*d + 6 = -5*i, 5*d - 25*i + 29*i + 3 = 0. What is the nearest to d in b, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 37. Let f = -9 - h. Solve 2*u - 2 = 4*i, 0 = -5*u - 4*i + 11 + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 3*a + 18, -112 = -4*p - 2*a. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15500014.74ms to weeks.\nAnswer: 0.02562833125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 509*g + 56. Calculate l(0).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/19 + -25\/57. Which is the third biggest value? (a) 2\/7 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704) + sqrt(704)*2 + -4 + (2 + sqrt(704) + -3)**2 + 5.\nAnswer: 8*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:51 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(4\/13))\/p)**13*p**(-15)\/p*p**(-29)*p*p assuming p is positive.\nAnswer: p**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1519 or -1520?\nAnswer: -1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541790018 to the power of 1\/2, to the nearest integer?\nAnswer: 39266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - 132\/(-16))\/(-2). Let j = d - -107\/24. Suppose 0 = 2*q + 3 - 11. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bababiuiiibaaqb. What is prob of sequence bba?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -535. Suppose k + w = 4*o, k + k = 5*o - 450. What is the remainder when 166 is divided by o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {d: 6, v: 3, h: 4, w: 2, j: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/((d*d**(-3\/2)*d)\/d)*d**(-6)*d**(-1\/9))**39 assuming d is positive.\nAnswer: d**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 3 + 6*a**4 + 15 wrt a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*(-3)\/4)\/3)\/((-20861)\/1814)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7255506 - 70?\nAnswer: 7255446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, h: 5, f: 1, c: 1, y: 1}. What is prob of sequence fscy?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6696?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224013 + 112214?\nAnswer: -111244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3 + (-17)\/(-5)). Let g = 8 + 2. Let r = g + c. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/12*84\/42*(-21)\/14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135\/12*28\/21. Suppose g = 61*u - 60*u. Suppose 19*q - 332 = u*q. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 5 = 4*y + 2*s - 4*s, 2*s + 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxixxxixxixiixx. Give prob of sequence ixi.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/17, -0.24, 0?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -4, -51, -98?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.3. Let h = -12.8 - 16.7. Let q = h + 29.7. Which is the nearest to -0.1? (a) 4\/3 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 7 = k, 4*g - 4*k - 2 = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471294599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134789.\nAnswer: 134789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142589.\nAnswer: 142589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 1)\/(2\/(-8)*2). What is the highest common factor of 248 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (2 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*v**4\/3 - 349780*v**3\/3 + 279776*v**2\/3 - 55952*v\/3.\nAnswer: 4*v*(v - 3497)*(5*v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11843251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -62*j + 555. Let r(m) = 47*m - 555. Give 3*a(k) + 4*r(k).\nAnswer: 2*k - 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3262)\/(-11184) + (-3)\/27*-3. Sort a, -2, -1 in increasing order.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000010010111101 (base 2) in base 15?\nAnswer: 91445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 345.5407 centimeters?\nAnswer: 3.455407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 2*h + 15. Let j(c) = -c**3 - 3*c**2 + 5*c + 29. Give -2*j(y) + 5*p(y).\nAnswer: 2*y**3 + y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((8\/10)\/4). Let g = c + -12. Does 11 divide 9\/(-21) + (-143)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64253, -128503, -192753, -257003, -321253?\n\"Answer: -64250*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34174643585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.19 - -0.46. Let j = 0.7 + s. Let h = -0.37 + j. What is the second biggest value in h, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.528?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 12*n - 10 = -16*n, 2*n = -4*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(((-4)\/(-5))\/((-2)\/23))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0 + 4 - 2)*(0*d - d + 2*d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:16 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.3 + -24. Sort 1, 0.09, p.\nAnswer: 0.09, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-5\/3)*m)\/m)\/m**4)\/((m**29\/m)\/(m\/(m\/(m*(m\/(m*m\/(m*m*m**(-3)*m)*m))\/m)))) assuming m is positive.\nAnswer: m**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945307879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/84*-3*(-6)\/(-45).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 1\/60*i**6 + 21 - 1\/40*i**5 + 0*i**2 + 1\/12*i**3 - 1\/24*i**4 + 32*i. Let l(c) be the first derivative of y(c). Factor l(p).\nAnswer: p*(p - 1)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2784.929 + -2785. Round b to three decimal places.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(52))\/sqrt(4)*-4)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -133 + 169 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 14076259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/7 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*m + 4657 = 0, 0 = -385*z + 381*z - m + 9391. Calculate the greatest common divisor of 1311 and z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 p when four letters picked without replacement from pppcpcpcpppppppcpppp?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 20 - 5 = -w + 6, n + 32*w = -288 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/((-4)\/(-4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g - 2 = 0, 4*w + 2 = -5*g. Let q be (-6)\/(-4)*(w - 0). Suppose q - 209 = -2*s. What is the remainder when s is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 + 177 = 3*v. Let b be ((-2)\/7 - v\/28) + -2. Put -0.2, 0, 0.2, b in decreasing order.\nAnswer: b, 0.2, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(1*sqrt(441)))**2.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-1)\/h))**31)**(-2\/3))**(-5\/6) assuming h is positive.\nAnswer: h**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2 - 3*u - 76. Determine t(0).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3428 - 3429. Which is the nearest to 2? (a) -0.08 (b) -0.8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -29*z**9\/504 + z**6\/20 - 133*z**5\/15 - 619*z**2. What is the third derivative of r(h) wrt h?\nAnswer: -3480*h**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/((n**(-1\/5)*n*n)\/n))))**(6\/23))**(-7\/5) assuming n is positive.\nAnswer: n**(-252\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3 - 167*g + 9229.\nAnswer: 9*g**2 - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 1 - 1)*(-r + 0*r + 0*r)*((0 + 0 - 1)*(-1 - 2 + 4) - 2 - 2 + 0)*(-3 + 4 - 3)*(19 - 44 - 23) as j + k*r + h*r**2 and give h.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from yyyyysyyyyysyysysyyy?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*m**4 + 43009*m**3 - 46511926*m**2 wrt m.\nAnswer: 6216*m + 258054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n + i, -2*n + 2*i = -2*i - 16. Solve 0 = -4*z + 4, n = -w + 5*z + 3 - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*4\/((-8)\/6). Suppose v*b = -20 + 92. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 39, 44, 35, 6, -49, -136?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/(-153)*3*3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from iqqqjrhqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 4.\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -813151 + 2056*r**4 + 812479 - 583*r**4 wrt r?\nAnswer: 5892*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/66 + 16*w**3\/33 - 5*w**2 - 99*w + 3. Solve s(d) = 0 for d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*(-150)\/(-120)*12\/(-30).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236149 times 0.11?\nAnswer: 135976.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4145400 (base 7) to base 14\nAnswer: cdb70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6708, 13316, 19670, 25644, 31112, 35948, 40026, 43220?\n\"Answer: -21*q**3 - q**2 + 6758*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396189 is divided by 81?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -623282\/9 or -69253?\nAnswer: -69253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/11)\/((-35)\/((-770)\/(-4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/6 + (-496)\/(-24) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:49 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*g + 379*g - 133*g - 153*g = 2881 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 7*j**2 + 6*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/12 + (-3)\/(-4). Let n be -1 + (3\/2)\/(21\/42). Suppose -2*i - n*p - 2*p + 8 = 0, -2*p = -i. Put i, -4, v in descending order.\nAnswer: i, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/25738 and 75\/1342918.\nAnswer: 22829606","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7018 and -24.\nAnswer: -168432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:07 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.1787cm to millimeters.\nAnswer: 2711.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08197 less than 0.056?\nAnswer: -0.02597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Suppose 0 = 4*i - 88 - 68. Let t(a) = -i + 39 - 4*a. What is t(h(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18)\/(4\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 606444, 608147, 609850, 611553?\n\"Answer: 1703*l + 604741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/39688 and 15\/610736.\nAnswer: 73899056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 20 = 0. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56414140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v - 3*v)*(-2*v + 2*v - 2*v**2) - 7*v**3 - 2*v**3 + 8*v**3 as l + q*v + w*v**3 + t*v**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-8)\/10 + 1). Let n(u) = 4*u**3 - 2*u**2 - 2. Let h(k) = 0*k**2 + 3*k**2 + 2 + 1 - 7*k**3. What is f*n(s) - 3*h(s)?\nAnswer: s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275.2 + -305. Round a to zero decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1609 or -1613?\nAnswer: -1609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153712 is divided by 2831.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 101 - (1 + (3 - 2)). What is the greatest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178587 = -32*o + 195602 - 46541. What is the remainder when o is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.052, 1\/4, -0.5?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4 + 0 + 0*a - 1\/5*a**3 + 1\/5*a**5 - a**2 = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:01 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 16. Suppose -3*n + 23 = -3*d - 1, -2*d - 26 = 3*n. Does 17 divide x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13622 - -535?\nAnswer: -13054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -728 from -0.0255.\nAnswer: 727.9745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 34 = 324*m - 319*m, -5*m = 0. Solve -68 = -q*o + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2457*d - 89. Let a(l) = -2458*l + 60. Give -3*a(k) - 2*q(k).\nAnswer: 2460*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**3 + 24*q**3 + q - 312*q**2 + 311*q**2 + 4*q - 4*q to the form l + n*q**3 + a*q + z*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-8)\/(2 + -130))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1)\/(-2) + (2 - -1844) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -5*b + b**3 + 4*b**2 + 3*b**2 - 4*b**2 - 6*b**2. Let k(r) = 4*r - 4. Give -7*k(o) + 5*w(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from zyyzyyynnzznnznyzyyz.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 rounded to the nearest 10?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*11\/(-4)*(-19)\/209?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-68)\/(-16)))\/((-32)\/72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4. Let h(i) = 0*i - 11 + 6*i - 5*i. Let s(a) = a**3 - a**2 - a + 1. Let b be s(2). Let y(c) = b*h(c) - 8*f(c). Differentiate y(v) with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3.5. Let a = -0.56 + s. What is a rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -152*a - 1531. What is m(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32635)\/(-122)*6\/5. Let y = v - 319. Solve l + 2*l - 4 = y*t, -11 = -5*l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p + 13*d - 81 = 408, -4*p - 2*d = 3*d - 210 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4 + 4022079*c**3 - 24132402*c**2 + 48264756*c - 32176488 = 0. What is c?\nAnswer: 2, 1340687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1384 + 1378.955. Let l = s + 5. Let b = 0.04523 + l. What is b rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -m - 5*w + 28, -m + 4 = -5*w. Let r(b) = m*b + 17 - 33*b + 13*b. Let n be r(15). Solve h + 6 = -n*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1328 + -1303 - (-1 - -15)) + 2 + -1 + 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -307, -668, -1173, -1822, -2615, -3552?\nAnswer: -4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:32 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, o: 4, r: 1, z: 2}. What is prob of sequence zd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 - -8a?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -206*-354\nAnswer: 72924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/70*4\/(-14)*(-100)\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-401 + 408)*(-376)\/28)\/2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:23 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, g: 1, a: 3}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 284, 321, 358?\n\"Answer: 37*i + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4257, -17044, -38405, -68382, -107017?\nAnswer: -154352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 12*q + 3. Let i(s) = 44*s + 7. What is the hundreds digit of i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**7\/105 - l**4\/12 + l**2 + 3. Let j(q) be the second derivative of k(q). What is the second derivative of j(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-1683)\/(-170) + -10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-575)\/23*(21\/42)\/((-10)\/(-12))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 24*p**2 - 7*p + 708. Determine v(23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 19*y - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n - 24 - 4 + 30 + 5*n.\nAnswer: -12*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426 + -426. Suppose o = -5*m - 0*m + 5285. List the prime factors of m.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 124.\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224\/6 + (-6)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 9*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 4. Let q be a(4). Let b(g) = -11*g + 11 + 26*g - q*g. Let l be b(12). Which is smaller: -32 or l?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*w - 145 = -2*w - 33 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72216 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.6739 times -3?\nAnswer: 311.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:35 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 24 (b) 0.2 (c) 0 (d) -1 (e) -27 (f) -0.1 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8051203 and 0.258552.\nAnswer: 8051203.258552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 5*x. Let y = -23 - x. Let i = -1 - y. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3914911 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50134 is divided by 1167.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 26 = -3*g, 0 = g + 18*f - 23*f - 27. Let h = -93 + 95. Which is the nearest to g? (a) -1 (b) h (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 8 = -w + 3*l, 5*l - 24 = -w. Suppose -6 = -5*j + w*j. Find the third derivative of -2*y**2 + 0*y**2 - 3*y**6 + 5*y**j wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030879428?\nAnswer: 2, 103, 1667, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 11 - 2) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -24\/7 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131, -112, -93, -74, -55?\n\"Answer: 19*y - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15980230\/61 at most -261972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.029618599 rounded to 1 decimal place?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-13 - -7) - ((6 - 5) + -27 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 13*s - 1. Let a be x(6). Suppose -2 = 4*k - 5*v + 3*v, -k + 3*v = 13. Let z be (1 - -1)\/k + 0. Sort a, z, -3 in descending order.\nAnswer: a, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 243*f - 57986. Give q(-120).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f - 2. Calculate the least common multiple of w(1) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgstsnat. Give prob of picking 1 a, 1 q, 1 g, and 1 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m**3 + 13*m**2 + 3*m + 3. Let s(u) = -26*u**3 + 38*u**2 + 8*u + 8. Let h(l) = 8*r(l) - 3*s(l). Find the third derivative of h(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 2, v: 1, z: 1, y: 3, n: 3}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.11 (c) -15\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - h**4 + 4*h**4)*(4*h - 2*h + h) + 0*h**5 + 3*h**5 - 2*h**5 - h**5 - h**3 + h**3.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*o - 142, 5*u - 222 = 5*o + 83. What is the greatest common factor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2. Let n(t) = -3*t**2. What is h(n(z))?\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6676089569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38668239 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3\/4 + 2841663*s**2\/2 - 34100037*s\/4 + 12787524 = 0.\nAnswer: -1894448, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -5)*(2 + -1). Let q be (-2 + 6)\/((-2)\/l). Solve -q*o + 2*v = -2*o - 4, 4*v = 2*o - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52379 - -5?\nAnswer: 52382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(475) + 3).\nAnswer: 9 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + d - 24 = 0, 4*m - 2*m - 6*d + 44 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*g - 49 = 0, -2*m - g + 120 = -0*g. Suppose -m + 63 = 2*w. Find the third derivative of -f**3 - 12*f**w + 18*f**3 - 13*f**2 + 23*f**3 wrt f.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1870320*m**2. Let f(a) = -2*a. What is d(f(p))?\nAnswer: 7481280*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 - -0.04. Which is the biggest value? (a) -3 (b) q (c) 1\/6 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 13 + 2. Let j(b) = 4*b**r - 3*b**3 - 3*b**2 - 1 + 0*b**3 - b. What are the prime factors of j(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, i: 2}. What is prob of sequence yyi?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*i**2 + 577*i**2 - 196*i**2 - 191*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/10)\/(13\/(195\/(-18))). Let m = 0.09 + 0.51. Let q = 0.1 - m. What is the second biggest value in -0.4, d, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 + -205. Let f = -4 + 4. What is the nearest to -1\/5 in z, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -2 (b) 0.04887 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 793371 or 793375?\nAnswer: 793371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 202 + 3 = 0. List the prime factors of g.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1918 - -1931. Solve 0 = 3*d - 4*r - t + 19, -3*r = 2*d + 21 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472 + 971. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 1352 + 4 + 10 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 1\/2 (b) -0.052 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30145584814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 882 or 884?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1493\/21838 + 1\/358. Let o = 805\/183 + q. What is the common denominator of -47\/6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 55 (b) 29 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 19. Let u(k) = -5*k - 18. Let y(d) = 2*g(d) - 3*u(d). Let r(x) = -x**2. What is r(y(v))?\nAnswer: -9*v**2 + 96*v - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 6 + 7*a + 3 - 2. Let u(r) be the second derivative of 11*r**3\/2 - 21*r**2\/2 + 799*r. Let n be ((-40)\/(-32))\/((-3)\/12). What is n*u(s) + 21*m(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-496)\/186)\/(5\/(30\/(-4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -27. Suppose -4 = j + 2*s, 2*j + j = -2*s. Suppose -c + 4*k - 12 = -0*c, 4*c = j*k + 8. Calculate the remainder when o is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1150, -743, 1218, 4733, 9802?\nAnswer: 16425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47151?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n = b + 462, -73 = 4*b - 167*n + 168*n for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299370096 to the power of 1\/3, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 at most as big as 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/195 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -736.928 + 733. Let a = q + 4. Round a to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415317 less than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1133?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109242 and 27455.\nAnswer: 10377990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/13))\/c)**(-8\/7)\/((c*c\/c**10*c*c*c)\/(c**(-2\/5)*c*c)) assuming c is positive.\nAnswer: c**(2923\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*b**2 - 3*b**3 - b**3 + 8*b**2 + 13*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t + 55. Find the common denominator of 29\/6 and (-23)\/40*(-9 - t).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 951785 in descending order.\nAnswer: 951785, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -1\/93, -3\/4, -0.2, 0.3, -1388?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 53 + (-13 - -23 - -20 - 24).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Suppose -5*b - c - p*c = 5, -2 = -2*b + 2*c. Find the third derivative of b*r**2 + 2 + 3*r**6 + 3*r**2 - 2 wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*1)\/(48\/(-456)). Sort 2\/7, -0.2, 2\/11, x in descending order.\nAnswer: x, 2\/7, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/14)\/((-23)\/(6578\/2600)*(-44)\/56).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(5\/(2 - 77)). Let a(p) be the second derivative of -5\/2*p**2 - 1\/6*p**3 + 0 - p. Calculate a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + 13 + -6 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/21 - 844*d\/7 + 98080\/21 = 0. Calculate d.\nAnswer: 40, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:33 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -127780305 divided by 25556061?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 295, 491, 701, 931?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/27, -0.4, -0.3, 9\/8?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y - 3*y + 0*y)*(8 - 8 + 3*y + (-8*y - 10*y + 9*y)*(1 + 0 - 2)) to the form s*y + l + h*y**2 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.624 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7731 is divided by 221?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(3\/27). Let r = d + -1. What is the units digit of (4 + -3)*6\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 139*i - 214. Calculate u(4).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5978*j**2 - 17939*j**2 + 5976*j**2 - 68*j + 9 + 5982*j**2 to the form w*j**2 + l + c*j and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 4, 1, 2\/3, -1793?\nAnswer: -1793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6199502 is divided by 464.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {q: 4, f: 4, y: 9, s: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2203*i**4 + 1432*i**2 - 2*i + 6598. Find the second derivative of h(p) wrt p.\nAnswer: 52872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*q = 16721, 3*q - 8055 = -2*l - 24794. Do -8365 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.98832 + -0.02332. Let b = p + -14. Let h = b + 0.03582. Round h to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (2\/(-8) + (-21)\/(-84)). Let l(u) = 2*u. Let s be l(-3). Let w be (-2 - s) + 2\/(-1). Solve g*n - w*n = -12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose z = -q + 5*q. Let i(o) = o + q*o + o. Let s(n) = -n. What is s(i(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23278.009931 + -23278. Round d to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144229 = 40*d - 73611. What are the prime factors of d?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62453118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:26 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 + 19721540*s\/7 + 48617392496450\/7 = 0.\nAnswer: -4930385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or -65485?\nAnswer: -65485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/73 and -26\/138885?\nAnswer: 10138605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -67*j**9\/56 - j**5\/30 + 17*j**3 + 4706*j**2. What is the third derivative of n(g) wrt g?\nAnswer: -72360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -89\/5, -54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 112*v**2 - 111*v + 48. Let m be b(55). Suppose 91*k = 98*k + 56. Is k greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1122 + 1122 + 1397*q - q + 0*q + 0*q + 2*q - 4*q + 0*q + (-2*q - q + 5*q)*(2 - 1 - 3).\nAnswer: 1390*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4878*o**2 - 9801.\nAnswer: -9756*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n + 2*r + 1088 = 0, 3*n + 5*r = -1640. Let y = -405 - n. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/4, 1, 4\/7, -6, -3\/5, 40?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 18. Let w = 5613 - 5591. Calculate the smallest common multiple of a and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5468 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 89, 0, 0.06, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(152) + sqrt(152) + -3*(-1*sqrt(152) + sqrt(152)) + sqrt(152) - sqrt(152) - -4*sqrt(152)*1)\/(2*sqrt(512) - (sqrt(128)*2 - sqrt(8))))**2.\nAnswer: 20*sqrt(19)\/3 + 301\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -1\/5, -0.7, -6, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -86*h**2 + 215*h. Let d(m) = m**2 + m. Determine -430*d(v) + 2*r(v).\nAnswer: -602*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5\/13 (b) 2\/9 (c) 0.009 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**3 + 7*s**2 + 22*s + 9. Let r be p(-3). Solve -29*c = 10*c - r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*i**3 - 4*i**2 - 3*i wrt i.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.1418 + 19.7418. Let y = -21 + 14. Put n, -6, 1, y in descending order.\nAnswer: 1, n, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26766*q = 26733*q + 46893. Solve q*w = 1418*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 5*g**3 + g**3 + (17 - 17 + 24*g)*(-12*g**2 - 31*g**2 - 4*g**2) + 2*g**3 - 2*g**3 - 2*g**3.\nAnswer: -1131*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**4 - 25*m**3 + 41*m**2 + 45*m - 19. Let w(y) = -5*y**4 + 8*y**3 - 14*y**2 - 15*y + 6. Let i(g) = 3*f(g) + 8*w(g). Factor i(k).\nAnswer: (k - 3)**2*(k + 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 2 + 4 + 7 - 4.\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 + 8*x**4 + 9*x**4)*(-2*x + 0*x + 7*x).\nAnswer: 65*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7630 - 5*u - 7630 + 3*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6800*z + 6793*z - 1 + 0 + 2. Let o(g) = -4*g. Calculate o(f(w)).\nAnswer: 28*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - (-50)\/15. Suppose 0 = 2*k + c*k - 40. Suppose -75 = 3*g - k*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 629, 635, 651, 683, 737?\n\"Answer: r**3 - r**2 + 2*r + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 - 4 = 0. Calculate the lowest common multiple of 5 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -r + 3*r = i. Let q = 3 - 1. Solve q*a + r + 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*a = 0, f + 0*a - 5*a = -7. Let m be (-1)\/((-2)\/(-6)*1). What is the nearest to 0.1 in m, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94228602 by 7248354.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.018784 - 2.981216. Let m = -3 + 5. Which is the closest to -3? (a) 1\/4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1075527495036 - -0.42.\nAnswer: -1075527495035.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 2. Let p(r) = -r**3 + 4*r**2 - r + 4. Let o be p(f). Solve o - 9 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:27 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 2*u + 250360 = 0. What is u rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*j**2\/2 - 4903*j\/4 - 147\/2.\nAnswer: -(j + 98)*(50*j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159, -2315, -3459, -4585, -5687, -6759, -7795, -8789?\nAnswer: -9735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 13 + 5)*(1 - 1 + 1)*(-67*a**2 + 171*a**2 - 11*a**2) as k*a + j*a**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 24 = 0. Let g be (-1)\/(-2) + 15\/h. Suppose -a + 11 = l, 2*l - g*a = l - 1. Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 185 + 32*q**2.\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21003423 + 1?\nAnswer: -21003422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10328 by -1.\nAnswer: -10328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*2408\/33411.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*r - 70 = r, 6 = -o - 4*r. Suppose -5*y + 35 = -o. Suppose y*b - 2 = -29. Is b less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -1, -5, -0.4, 3, -0.5 in descending order.\nAnswer: 12, 3, -0.4, -0.5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -132310132?\nAnswer: -132310232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-117) - (-5504)\/(-9984). Put 7, -2\/7, n, 22 in increasing order.\nAnswer: n, -2\/7, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4062 times -0.5\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 15*f + 7. Let b = 46 + -51. Let j be v(b). Suppose -y = -j*y + 42. Solve -3*z = y + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*v - 130*v + 88*v)*(4*v**2 - v**2 - v**2) + 0*v**3 - v**3 + 3*v**3.\nAnswer: -184*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from luqquqonnu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3520459762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.039 + 0.039. What is the second biggest value in -0.3, t, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-3)\/((-48)\/68) - 4). Sort 16, -1, -3, j.\nAnswer: -3, -1, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818229 is divided by 6106.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-18)\/4*1. Let h = -5 - r. Let n(z) = -z + 0*z + h*z. Let w(o) = -o. Calculate n(w(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 3:03 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 39064\/2427?\nAnswer: 39064\/2427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3\/3 + 15*l**2\/2 + 18*l - 882. Determine b(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-28))\/(1\/(-42)). Let i = 18 - t. Let g = i - -39. Solve 5*k = 3*h - 13, 5*k + g = -4*h + 4*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**3\/3 + 19*g**2 - 295*g + 5. Let y be k(11). Solve y*r = -5*r - 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002012 (base 5) in base 16?\nAnswer: -3e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2\/7, 8, -111?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d**3 + 45705*d**2 - 186570*d + 18200 = 0. What is d?\nAnswer: 1\/10, 4, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 = -5*g, -5*g - o = o - 20. Suppose 2*b - 278 = -7*w + 2*w, -g*b = 4. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2914\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -294, -286, -266, -228, -166, -74, 54?\n\"Answer: d**3 + d - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15664726 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18962563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4936 + -2734. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54822 is divided by 428?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105653 - -150480. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 8. Let k = 124 + -130. Let r(x) = 2*x + 7. Give k*r(b) - 5*w(b).\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.275172 micrometers to kilometers.\nAnswer: 0.000000008275172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 + 7*f. Is 16 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/65293 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4412, 4222, 4032, 3842, 3652, 3462?\nAnswer: 3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 17*q = -v + 31, 184 = 4*v - 5*q. What is the remainder when 75 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 11:40 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*i + 842, -7*i + 5*i = 3*b - 341. Let d be (0 - 8) + (19 - 18). Let o = 7 - d. What is the remainder when i is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/116992440 and -113\/11699244.\nAnswer: 116992440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.849979 decades?\nAnswer: 0.03849979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 3*s**2 - s**2)*(s + s + 2 - 1).\nAnswer: 14*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329584 a multiple of 2494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3655420*-0.5.\nAnswer: 1827710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r**4\/11 + 10*r**3\/11 + 30*r**2\/11 - 40*r\/11 + 8\/11 = 0.\nAnswer: -2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - -74) + 0 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*c - 36*c - 223*c + 4934 + 8730 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482584006?\nAnswer: 2, 37, 953, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283.61 - 284.01. Which is the nearest to 37? (a) -1 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Suppose -4*z + 52 = o*n, 4*z + n = 2*z + 32. Suppose 4*i = -2*p + i - 15, -4*p - 2*i = z. Is p less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29201958?\nAnswer: 2, 3, 180259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w + 987 = -23*w + 21*w - 993 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let o(b) = -b**2 - b + 2. Let i be o(u). Solve 3*g - 3*m - 3 = 0, -i*g + 3 - 4 = -3*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2431198*z + 2431198*z - 2831*z**4 + (-2 - 2*z + 2)*(-2*z**3 + z**3 + 0*z**3)*(4 - 2 - 4).\nAnswer: -2835*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 1. Let y be u(-1). Let b = -5 + y. Is 3\/b*(-340)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586 + 586 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h - 16*h - 6*h**2 - 11*h - h**3 + 58*h - 15*h + 15. Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c - 45. Suppose 4*g - 5*y = 77, c*y - 13 = -g + 2*y. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 2. Let l be m(0). Let w = -24 - -17. Is (-3131)\/w - l\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/30 - g**5\/20 - g**4\/12 + 19*g**3\/6 + 199*g**2. What is the second derivative of j(f) wrt f?\nAnswer: -24*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.7 (c) -0.5 (d) -1\/55 (e) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**3 + 2*x + 35 - 17*x**2 + x**3. Let g = 3417 + -3434. What is the units digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 - 25*b**3 + 2215 - 1107 - 1108.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a factor of 116496413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 380656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -2*d**5\/3 + 4*d**4\/3 + 194*d**3\/9 - 20*d**2 + 7432. What is h in j(h) = 0?\nAnswer: -4, 0, 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/169*7*(-1)\/((-98)\/(-4)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309461 is divided by 2090?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/52 and -7\/2638?\nAnswer: 68588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 + 2788447*b\/4 + 6274026 = 0.\nAnswer: -9, 2788456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(57))\/(sqrt(36)\/(sqrt(12) + sqrt(588))).\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, c: 2, d: 5}. What is prob of sequence cg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 739864?\nAnswer: 739864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*h + 7 + 14, 2*f = h + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 3005*l**2 - 8970*l.\nAnswer: -5*l*(l - 598)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 0.495, 11\/6, -2 in decreasing order.\nAnswer: 11\/6, 0.495, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5199.22 to the nearest 10.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10325 - -3?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -69429.\nAnswer: -5\/69429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0277288 to 4 decimal places.\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 5*q - 3 - q. Suppose 2*i = -17 + 15. Let l(b) = -1. Calculate i*g(t) + 4*l(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:22 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -20*z**2 + 13. Let y(j) = 9*j**2 - 6. Let m(g) = -6*r(g) - 13*y(g). Let a(b) = -101*b. What is a(m(u))?\nAnswer: -303*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 14, 40, 98, 200, 358, 584, 890?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/23, -3, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207600.2m to centimeters.\nAnswer: 20760020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmbesjj. Give prob of picking 1 j, 1 s, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7495055 rounded to one decimal place?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(30) + sqrt(60)\/sqrt(2) - sqrt(30)))*3)\/(-3*(sqrt(30)\/sqrt(3) + sqrt(10))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 111*g**2 - 781*g - 74915. Give u(-112).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17a171 + 0?\nAnswer: -17a171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288979424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -106. Suppose t*y = -18 - 0. Which is the second smallest value? (a) 1 (b) y (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*y = 1 + 1, -3*y = 4*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -5) + -1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g + 1\/6*g**3 - 5\/24*g**4 + 5*g**2 + 0. Let u(d) = -4*d + 1. Determine 7*u(l) - 6*z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635052 (base 7) in base 12?\nAnswer: -ab75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 2*n**4 - 10*n**4 + 0*n**4 + 0*n**4 + 3*n**4 + 6*n**4 - 2*n**4 - n**4 + (5*n - 3*n - n)*(-n**2 - n**3 + n**2) + n**4 - 2*n**2 + 2*n**2.\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1404 (base 9) to base 10.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -14. Suppose -2*x + x + 14 = n. Let f = x + 3. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3, 3\/37378, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.193*1145.1\nAnswer: 221.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - s. Let v be 0 + (-4)\/6*-3. Let i(x) = -4*x**2 - 2*x - 1. Determine v*w(t) - i(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 2, 5, 8, 11, 14?\n\"Answer: 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*m - 1260 - 209 = -10*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-514)\/30 - -14 - (-8 + 2 + 3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(68\/16)*(-3)\/4. Suppose 4*y + 6*l - 2391 = 5*l, -m*l - 601 = -y. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 0, -x = -4*w + x + 14. Suppose 0 = -3*h - 0*h - 9. Let v = 6 + -3. Put v, w, h in decreasing order.\nAnswer: w, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 + 17\/5. Let f = 2 + 6. Suppose -5*d = -3*g + 16, -g + 3*d = 4 - f. Solve -m*w + 3*z + 0 + 9 = 0, -w - z = -g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 4 + -4 + (0 - -6). Solve z*b = 25 - 29 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + c + 343 = 0. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (48 - 51)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 851910 divided by 170382?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 3*w = 50*r - 3726, 0 = -3*r - w + 3732. Calculate the remainder when r is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2244 = -9*n + 20*n. Let j be (663\/n)\/(2\/(-8)). Put -2, j, 2 in ascending order.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Let l = b - 5. Let q be (-3 - l\/(4\/5))*-52. Solve 2*g - 5*a - q = 4, 0 = -2*a - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -47, -57, -59, -53, -39?\n\"Answer: 4*w**2 - 30*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-1)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 6 + -2 + -17 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p**2 + 3*p - 2. Let d(q) = q**2 + 6*q + 7. Let y be d(-5). Let u be z(y). Suppose 0*k + 4*k = u. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -212\/11?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -59*f**7\/210 + 17*f**3\/6 + 2*f**2 + 2*f. Differentiate m(w) wrt w.\nAnswer: -236*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 2*c + 0*c)*(-3 - 3 + 4)*(20*c + 5*c - 9*c + (-3*c + 5*c - 3*c)*(-1 + 5 - 2) + 4*c - c - 6*c + 4*c + 6*c - 2*c) as h + t*c + b*c**2 and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -16*s - 4. Let a be x(3). Let c be (-1)\/3 - a\/12. Let j(n) = -n**3 - 7*n**2 + 8*n**2 + 4*n**2 - 2 - 2*n. Give j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/41, 2, 3 in increasing order.\nAnswer: -18\/41, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 68. Let l be h(10). Let j = 1 - 0. Find the first derivative of j - 2 - 3 - 5*s**l + 10*s**2 wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521*s + 66296 + 90006 = 0 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0774283 millimeters to micrometers.\nAnswer: 77.4283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fevhpbvh. Give prob of sequence hf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2128006747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let d be o(-2). Let u be (-12)\/(-20) + 106\/(-10). Let i = 14 + u. Put 5, i, d in increasing order.\nAnswer: d, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(176) + 5 - (2*sqrt(275) + -5 - ((sqrt(275) + 1*sqrt(275))*-4 - sqrt(275)))**2.\nAnswer: -33289 + 554*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 + 42021321?\nAnswer: 42020341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17712\/(-205))\/(-48)*(-2)\/12)\/(10\/(-4))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010203122 - 3?\nAnswer: 3010203113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1408 divided by -128\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 2. Let h(q) = 2*q**3 + 3*q**2 - 1. Let b(r) = -2*h(r) + 3*x(r). List the prime factors of b(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 = -53*s + 2*l, 3*s + 15*l - 17*l = 21 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4175 is divided by 2059?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 3*g**4 + 4*g**5 - 3*g - 3*g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2310, 0.17, 4, -2.6, 1 in increasing order.\nAnswer: -2310, -2.6, 0.17, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c + 2468. Let g be j(0). Let p be ((-6)\/(-20))\/(222\/1820326). Let q = g - p. Find the common denominator of 61\/14 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -9.\nAnswer: -61\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7)\/(x\/(x*x**1*x*x*x)))**(-7) assuming x is positive.\nAnswer: x**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 192*n**2 + 19804*n - 38808.\nAnswer: -4*(n - 49)*(n - 2)*(n + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 4*h**2 + 4*h - 5. Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*b - 356 = -257*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 790 - 3161\/4. Let q be 3\/45*80\/208. What is the third smallest value in q, -3\/7, 0.1, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 10*g**2 - 7*g - 13. Let q be b(9). Suppose 9 = q*a - 1. Let w = 77\/111 + -1\/37. Which is greater: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12411612.752499 - 1\nAnswer: -12411613.752499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378592, -379392, -380192?\nAnswer: -380992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 863770686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(4\/17) assuming a is positive.\nAnswer: a**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 229*c**2 + c + 3. Let k(g) = -457*g**2 - 3*g - 5. Let u(l) = 3*k(l) + 7*v(l). Let m be u(2). Suppose 0 = 8*r - m + 210. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, 106, 11 in increasing order.\nAnswer: 0, 2, 4, 11, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -49*x**3 + 630*x**2 - 9213*x\/4 + 6889\/4 = 0.\nAnswer: 1, 83\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18161*s**2 + 18261*s**2 - 72294*s**2 + 18040*s**2 + 18091*s**2.\nAnswer: 259*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 5*h - 1. Let c be u(4). Suppose 5*y - 2*o - 3013 = 0, y - 2415 = -3*y - c*o. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Suppose 5*t - 28 = y, 2*y + 3*y + 14 = g*t. What is the common denominator of -41\/7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10 and 35\/242?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*m - 1705*m**3 - 116*m**3 + 459*m**3 + 334*m.\nAnswer: -1362*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/(-18) - (-516)\/(-108)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5530.121 centimeters to millimeters.\nAnswer: 55301.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -2480.369352934.\nAnswer: -2482.369352934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2940 and 168?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*c = -c - 12, 3*o = c + 19. Suppose -f + 2*j + 2 = -2, 4*f + o*j = 3. Let h(i) = -2 + 2 - i**2 + 0*i**f. Let y(a) = -2*a. What is h(y(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 5 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*i - 312. Suppose 34 = 2*u - i. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 - 2*m**2 - 2*m - 2. Let a = 28 + -17. Let p = a - -7. What is the remainder when u(-2) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, 9, -0.3, 0.059?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 32936.\nAnswer: 1152760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14625417 and 618660?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 81398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 366\/38 + 20\/22 + 101915\/(-10285)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a decade?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 687 + 506. Calculate the remainder when s is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-3*-4 + -6*sqrt(2)*-1.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*h - 15 = -3*q, -3*h = -4*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 290953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 11*a - 36. Let j be y(18). Let w be -5*(-1)\/(25\/j). Solve g - 3*p = -w, -4*p + 6 + 8 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 q when three letters picked without replacement from {n: 1, q: 2, d: 6, g: 1, u: 5, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(7 + -2 + -3). Let u = 8 + p. Calculate the smallest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 114. Let x(f) = 3*f**2 + 2*f + 2. Let a(c) = -12*c**2 - 9*c - 9. Let w(i) = g*a(i) - 9*x(i). Factor w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1404 (b) 3\/8 (c) 4 (d) -1 (e) -2\/295 (f) -4 (g) -1.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 6*o - 6. Let r(j) = j**2 + j + 1. Let x(q) = d(q) + 6*r(q). Let s(h) = 3*h**2. Determine x(s(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 13*s**2 + s + 13. Let j be f(-13). Let z(g) be the first derivative of j*g - 2 + 1\/6*g**2 - 1\/9*g**3. Solve z(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -11*d + 7*d. What is the units digit of 147\/6 + (-3)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.7, 116, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616 + 4826 - 1613 - 1600 - 2*x - 13*x - 8*x.\nAnswer: -23*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 1, d: 1, c: 2, t: 2}. What is prob of sequence gg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 6:16 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -34*n + 3\/2*n**2 + 1\/32*n**4 - 9\/16*n**3 + 0. Find j such that p(j) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 25788898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*i**3*z - 211*a*i**3 - 240*a*i**2*z - 45*a*z - 5*i**3*z - i**3 wrt i.\nAnswer: 18*a*z - 1266*a - 30*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.21 - 0.97. Let z = i + 7. Which is greater: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c + 16*c + 17*c)*(13*c - 13*c + 2*c**2).\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-2))\/((-5)\/10). What is the greatest common factor of 110 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4 - 2*v**2 - v**3 + 8 + 2*v + 4 - 12. Let t be p(0). Let i = -2.3 - -0.3. Sort 0.1, i, t in increasing order.\nAnswer: i, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74636855, 149273708, 223910561, 298547414?\nAnswer: 373184267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 2. Let m(t) = 3*t + 4. Let v(d) = 2*d + 3. Let i(o) = 5*m(o) - 7*v(o). What is the remainder when i(c) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d - 279. Let p be s(-14). Find the third derivative of -13*j**2 + 15*j**2 + 13*j**3 + 21*j**2 + 6*j**3 + 21*j**3 + p wrt j.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5068*o**5 + 456104*o**4 + 2368196*o**3 + 3838880*o**2 + 1937936*o + 6080 = 0 for o.\nAnswer: -2, -1, -4\/1267, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 352\/40 - 3. Let m be (-1 + 0)\/(2\/(-4)). Which is the third smallest value? (a) m (b) y (c) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + h**4\/2 - h**3 + 7*h**2\/2 + 36*h. Let x = -11 - -16. Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22084.\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-1*sqrt(5)*-3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35523 - 238?\nAnswer: 35274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17*u**2. Let l = 651\/1270 - 8\/635. Let k(m) be the first derivative of 0*m + 14 + l*m**2. Calculate q(k(r)).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 829, 825, 811, 781, 729, 649, 535, 381?\n\"Answer: -r**3 + r**2 + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1110001010101010111111100101?\nAnswer: -1110001010101010111111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128712 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/(-259))\/(2\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*t = -239*t + 251650. What are the prime factors of t?\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:25 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4340.4 at least 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 9 - 7*w + 2 + 2 - 1. Let u be c(10). Solve -4*y - u*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 4 - (2 - (2 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:46 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/234 + (-8)\/(5 + -3) + 1420\/9230.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 40*c**2 + 16*c + 646. Let n be g(-40). Solve -2*h + 12 = 4*a, -6*a + 3*h = -9*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/165 and -79\/29436.\nAnswer: 147180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-268)\/(-360) + (-140)\/(-315)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = 4*x, -87*x + 89*x - 2*f = -22. Which is the third biggest value? (a) -2 (b) 13\/31 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2.14, -3\/5, -4, -1 in descending order.\nAnswer: 5, 2.14, -3\/5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 9*h**2 + 9*h - 2. Suppose 4*v - y - 28 = 0, 4*v + 21*y - 26*y - 12 = 0. Calculate u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/8 + (-2)\/(-8). Let s = 1 + z. Let u be (-16)\/44 + (-2)\/(-11). Which is the closest to 2\/5? (a) 3\/2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -19\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 258226 * -43\nAnswer: -11103718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -87065\nAnswer: 18\/17413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4334233020 - 1?\nAnswer: -4334233021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/3 + 40*p\/3 - 76\/3 = 0.\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -23. Let x = 9 + -21. Let f = b - x. Solve f*i = -3*r + 27, 3*r + 4*i - 4 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*c - 7110 + 6090 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -6717, 75?\nAnswer: -6717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3))\/(-4 - (-8)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40579 + 61768. What are the prime factors of h?\nAnswer: 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 less than -172655?\nAnswer: -173517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 218204?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1461 + -1044. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 6256?\nAnswer: -6261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**(-5\/7)\/(r**5\/((r*r**(-11))\/r)))**(2\/115) assuming r is positive.\nAnswer: r**(-32\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*s**2 - 7 + 50*s**2 + 244 - 4 + s**2 wrt s?\nAnswer: 160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 912959 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 12*u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*v - 13. Let u be (-8)\/10*10\/v. Let i(x) = -x**2 + 3*x - 1. What is the units digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 257, 556, 959, 1460, 2053?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 64. Let b = i + -34. Is (4 - 1)*2348\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1\/(-2))\/1)\/(7\/126). Let j be ((48\/a)\/(-4))\/(2\/84). Let c = -56 + j. Solve 0 = v - 1 - c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253\/33 + -5 - (-143)\/429\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 1031 + 208. What is the highest common divisor of y and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2404 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, -0.3, -3, 2\/123, -5?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 0*x)*(3*x**3 - 3*x**3 + 2*x**3) + 2*x**3 - 3*x**4 - 2*x**3.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 1440.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -20*n**3 - 36*n**2 - 190*n - 77. Let i be x(-6). What is the greatest common divisor of 61 and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*m**2 + 2*m**4 + 13*m**2)*((-4 + 1 + 4)*(-3 + 5 - 3) - 33 + 39 - 30 + 5 - 3 + 10) to the form s*m**3 + v + r*m**4 + d*m**2 + g*m and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (28 + 42)) + 37?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (5975\/(-10) + 2)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92009, 184016, 276023, 368030, 460037, 552044?\nAnswer: 644051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -0.062.\nAnswer: -4.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 38 + -57 - -69?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3137 + 3688 = -19*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 10*l + 10*l)*(-4 - 2 - 1)*(0 + 2*l + 0)*(-2*l - 213 + 0*l - 247).\nAnswer: -56*l**4 - 12880*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634760 divided by -17208.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3130 - 237 = -7*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 37847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -6 (c) -0.06 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1281, 1288, 1307, 1344, 1405, 1496, 1623, 1792?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*v - 43, -5*o + 2*v - 3*v + 79 = 0. Let z = 42 - o. Calculate the remainder when 76 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.4 and -8?\nAnswer: -115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.1, -0.04, 5, -49, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let v(z) = z. Let t(n) = 3*c(n) + 2*v(n). Let g(d) = 8*d**2 + 2*d**2 - 11*d**2. Determine t(g(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/360 - 13*f**5\/120 + f**4\/12 + 2*f**2. Let t(g) be the second derivative of h(g). Let r be t(-9). Sort -4, 2, r.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1303 - 1303.1. Let z be (-2)\/10*(4 + -5). Sort c, z, -0.03 in ascending order.\nAnswer: c, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1566, -1559, -1552, -1545?\n\"Answer: 7*g - 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29773 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 8343 = 4*o - 8305, 2*y = -o - 8 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 4*v**2 + v**2 + 6 + 5*v. List the prime factors of h(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) 0 (c) 0.4 (d) -28 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 211*t**6\/30 + 31*t**2\/2 - 4*t - 3. Differentiate m(n) wrt n.\nAnswer: 844*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*y - 3*g, -4*y + 2*g + 25 = 7*g. Let r = 4 + 5. Sort y, -4, r in descending order.\nAnswer: r, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 - 2.14. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1100011000100001101?\nAnswer: 1100011000100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139440?\nAnswer: 2, 5, 47, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) + (sqrt(2) + sqrt(50))*3))**2.\nAnswer: 2\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/8, -0.1, -628, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:19 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38535.19 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117) + -6*sqrt(117) - sqrt(117)))\/sqrt(9).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -43\/1542466?\nAnswer: -43\/1542466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -203370000 rounded to the nearest one million?\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*s - 1, -s - 5*u = -10 - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*11950.\nAnswer: -250950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l - 2*d, -3*l - d = -3*d + 3. Suppose l + 2 = 3*q. Solve 5 = u + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1584)*-1)**2.\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + -5 + 5)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/5194 and -13\/4.\nAnswer: 10388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 18. Sort d, 0.03, 0.1 in descending order.\nAnswer: d, 0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 374\nAnswer: 3\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 43*f**4 - 66*f**2 + 4. Let p(h) = -130*h**4 + 197*h**2 - 11. Let j(s) = -4*p(s) - 11*y(s). Find the third derivative of j(a) wrt a.\nAnswer: 1128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369 and 6035118.\nAnswer: 18105354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6426124.\nAnswer: 2, 307, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + -11 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-48)*-15*4. Suppose -d*z = -9*z + 8. Solve -2*v - z = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/6)\/((-6)\/12))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 - t + 12. Suppose 14 = 6*y - 4*y. What is the least common multiple of 60 and m(y)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*q = 62*q - 82*q - 11985 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561.1976 - -561. Round h to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 282?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -18e?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 - 5. Let q be f(0). Let j = q - -7. Let -p**2 + j*p**2 - p - p + p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*o + 2*i, -2*o + 73 = -0*o - 5*i. Let v be ((-17)\/o)\/((-1)\/4). Solve 0*b = v*b, 0 = -p + 4*b - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*y**5\/3 - 322*y**4\/3 + 86*y**3\/3 + 386*y**2\/3 - 112*y\/3 + 8\/3 = 0. What is y?\nAnswer: -1, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beh when three letters picked without replacement from {e: 2, h: 7, b: 3, d: 1, u: 6}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbmmvvjvtmbvjbvtmgv. Give prob of sequence mbg.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29*y**3 + 4*y**2 - 10*y + 1. Let p be l(4). What is the third derivative of -1881 + 2*n**6 + n**2 + p + 24*n - 17*n**4 wrt n?\nAnswer: 240*n**3 - 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 226*f**3 + 118*f**3 + 110*f**3 + 2*f**2 - 2*f**4 to m*f**2 + v*f + u*f**4 + t + z*f**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8)\/2 + (-188)\/(-36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*l + 178, -2*a - 197 = -4*l + 167. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 5*i - 3*t - 5, -2*t + 3 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-35)\/(-1257475)) - (4 + (-87)\/21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28556301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 176657 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)\/l**(1\/9))\/(l*l\/(l\/l**(2\/5))*l*l**(3\/2)\/l) assuming l is positive.\nAnswer: l**(-181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113\/39 + -55\/13. What is the fourth biggest value in 0, q, -3\/4, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - 6) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13033 - 3?\nAnswer: -13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/12 + q**4\/24 - 6*q**2. What is the second derivative of p(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -4*m + p, -m + 3*p + 4 = 0. Suppose -3 = -m*y + 9. What is the greatest common factor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227924338699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, -n - 2*x + 6 = x. Let g = -4 + 3. Let r be (1 - (0 + g)) + 2. Solve 5*u + 32 - 2 = 5*j, -r*j = 5*u - n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8 - -4.7. Let y = 1 - 1. Let v = y - -0.5. What is the second smallest value in v, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13. Suppose b = -4*l + 3*l - 8300. Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -83*o + 15. Let b be (2 - 6)*(-6 + 65\/10). Calculate the remainder when y(b) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-6))\/(20\/12). Put -5, j, 8, 2\/7 in descending order.\nAnswer: 8, j, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 43*n**3 + 833*n - 833*n.\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.634 and 17494?\nAnswer: -46079.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -34 + 16. Suppose -c - 5*c = 0. Suppose -z + 36 = -c*z. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9655290 and 49863?\nAnswer: 106208190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let z(c) = 28*c - 35. Calculate -35*i(s) + z(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:38 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6562.166 + -6555. Let v = 0.134 + a. Round v to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*w + 6, 6*h - 126*w + 130*w = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512896 is divided by 19037?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*y - 3 = -4*y, 5*z + 12 = -4*y. Let i = z - 5. Put 3, -1, i in descending order.\nAnswer: 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 202?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - 225*f + 2232. Give z(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-230))\/((-102)\/8)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d9 - 9?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b7 - 4?\nAnswer: -8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 + 64 + 32 = -123*u, 0 = -3*u - 2*i - 49 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 3198095600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9574137 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {l: 1, n: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/(3\/(-12)). Suppose -5*h = 4*r + 21, 0*r + 24 = -4*h + a*r. Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 343645268*r\/3 + 14761508777348978\/3.\nAnswer: 2*(r + 85911317)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/200 - 21*j**5\/50 + 147*j**4\/10 - 1372*j**3\/5 + 37*j**2. Factor g(v).\nAnswer: 3*(v - 14)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 17*u = -1776. Suppose -2*f - 3*s = -1741, -f - 9*s + 4*s = -u. What are the prime factors of f?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -813840 divided by -13564?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {v: 2, d: 1, n: 1, s: 5, k: 5, z: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/132*41535\/(-1846).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -200*s - 8180. Determine p(-41).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1. Let l(c) = -3*c + 6. Suppose -82 = -3*a - 70. Calculate a*h(j) - l(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3808.521 * -0.4.\nAnswer: -1523.4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451689716*v**4 - 55663055*v**2 - v + 1?\nAnswer: 10840553184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 29, -1\/6, -0.5, 3, -401\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22010434, -22010435, -22010436, -22010437?\n\"Answer: -s - 22010433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.5, 5, -1063?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9108 + 89187. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -10 - (-2162)\/(-235) - -2. Find y, given that s + 6\/5*y + 2\/5*y**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11155 and 853455664.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2065140 times -5.7\nAnswer: 11771298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117.609 and 47.\nAnswer: 5527.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51316.25 micrograms?\nAnswer: 0.00005131625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -597, -6, -22 in decreasing order.\nAnswer: -6, -22, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2. Let r(z) = -5*z**2 + 44*z - 59*z + 15*z. Calculate -2*r(m) - 5*v(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10313 is divided by 1060?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 3) in base 8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a + 13*a + 473200. Let k = 54300 - a. What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 130*u - 19\/6*u**3 - 1\/6*u**4 + 17\/2*u**2 + 0. Differentiate s(c) wrt c.\nAnswer: -4*c - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from ildbbhbvlhvl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359807515?\nAnswer: 5, 11159, 60217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2 - 92*u - 1 - 10. Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = h + 7*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152096 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 12. Suppose -2*s = n - f*s + 2, 0 = -n + s - 1. Suppose n = -2*c + 5*c - 5*k - 181, -10 = 5*k. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1487, 9358, 30693, 72224, 140683, 242802?\nAnswer: 385313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -56, -3, 1.65, 15\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -401, 2, 5, -21, -15 in increasing order.\nAnswer: -401, -26, -21, -15, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*m + 2*m = 21*h - 20 - 19, 57*h - 189 = 3*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1110001101110?\nAnswer: -1110001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1683 + -896. Let p = x - 538. What are the prime factors of p?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let o(n) = -n**2 - 2*n + 2. Let x be o(-3). Let w(r) = 6*r**2 - 7*r + 5. Let z(t) = x*w(t) + 6*a(t). Determine z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 4*g - 3*g)*(0*g - 5*g - 5*g) - 10*g**2 - 2*g**2 + g**2 in the form o*g**2 + a*g + w and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 85 - 4 - (-16 + (2 - 3))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 18 = 3*y. Let c be ((-8)\/y)\/((-2)\/(-24)). Let h be (-18)\/c - (-9 + 5). Is 0.1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 25. Suppose -2*a + 2*r = -0*r - 58, r + 104 = 4*a. Let h(n) = -1. Determine a*h(j) + p(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11399\/3 + -3763. Let h = t - 548\/15. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 28*l**2 - 821*l + 4279. Determine i(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 204 = -13*t. Let c be (1\/t)\/(14\/(-63)). Suppose -39 = 3*s - 9. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Sort -2, 0, w in descending order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10380 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -464266433 times 0.3?\nAnswer: -139279929.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432) + 4 + 2 + (5 + sqrt(432)*1)*-5)**2 + 5.\nAnswer: 2736*sqrt(3) + 15918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 15*y - 6. Let b(r) = 8*r - 3. Let v(j) = 5*b(j) - 3*i(j). Let t(k) = -4*k + 2. Determine 4*t(x) - 3*v(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3 + 1)\/(990 + -991). Which is greater: 31\/188 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2314*i**2. Let y(b) = 124860*b. Determine x(y(j)).\nAnswer: 36075305354400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**3 + 5*m**2 + 2*m - 5. Let p(k) = -k**3 - k. Let c(i) = 4*p(i) + y(i). Let j(h) = -h**3 - h**2 + h + 1. Determine c(f) + 5*j(f).\nAnswer: -2*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose -18 = -2*b + 2*k, j*k = -4*b - b - 5. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 - 2 = 0. Is (0 - -2) + c - -85 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 + 3 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11322.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 0 + -9 + 12 + -33\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, h: 1}. What is prob of sequence jth?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/72 - y**5\/18 - 5*y**4\/9 + 83*y**2. What is z in i(z) = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5985438 divided by 2\nAnswer: -2992719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370 and 1204.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1071 and -45?\nAnswer: -48195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 + -7 + 19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168150030?\nAnswer: 2, 3, 5, 1699, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 341 = -824. Let z be (0 - (2 + -19)) + (-20)\/(-10). Suppose 4*j - y = z. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -61. Suppose 0 = -6*y + g*y + 316. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31458577, -31458583, -31458593, -31458607?\nAnswer: -31458625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 129. Suppose -4*t + t + k = -5*d, -2*d = 3*t - 19. Solve -r + 4*b = 2*r + 8, 4*r = t*b - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2 + 6)\/1. Let m(w) = 2*w**3 - 6*w**2. Let a be m(y). Suppose 3*l - l = a. Calculate the greatest common factor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22278491 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 8 + 18 + -18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-504)*-7*-16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-478 - -441)*-5*((-45)\/(-25) - 2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {b: 1, f: 2, x: 1, t: 1, o: 2, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109 - 109 - 30*h**3 + (1 + 2 - 2)*(h**3 - h**3 + 2*h**3).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1096587 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/57*5\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207972731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2023, -3, -157, -5, 5 in ascending order.\nAnswer: -2023, -157, -5, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3 + 270*g**2 + 2875*g - 21750 = 0?\nAnswer: -30, -29, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23396949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Suppose -3*o = -4*o - m*k - 1, 5*o + 5 = 5*k. Let p be o\/(3\/6) - -2. Round p to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**3\/6 + g**2. Suppose -785 = -11*d - 763. Let s(h) = 6*h - 2. What is d*z(u) + s(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-25) + 6\/5. Let f = j - -2. Suppose -5*p - 9 = c, -f*c + p + 0*p + 21 = 0. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 263515097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 + -163. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - p. Let y(j) = -40*j**5 + 4*j**3 + 41*j**2 - 4*j. Let i(k) = -4*o(k) + y(k). What is the third derivative of i(b) wrt b?\nAnswer: -2400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 3*s**2 - 8363*s**3 - 20*s + 20*s + 8361*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.256997883 - -1.257. Round d to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 412127501 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:31 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488 and 8976.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 2*q**2 - 2*q**2)*(2 - 3 - 6*q + 14*q).\nAnswer: 16*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*i - 2 + 11, -4*i = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}